tag:blogger.com,1999:blog-66294707537992856072024-02-18T22:57:54.987-08:00Lentera Hidup12gold.roger3425http://www.blogger.com/profile/11241720279056588223noreply@blogger.comBlogger100125tag:blogger.com,1999:blog-6629470753799285607.post-36384336572781948012016-08-06T15:56:00.000-07:002017-10-15T00:01:17.457-07:00Penetapan Nilai SI atau Satuan Internasional untuk Besaran Pokok – Fisika Dasar<div dir="ltr" style="text-align: left;" trbidi="on">
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<span style="line-height: 150%;">Setelah para ahli menetapkan satuan Satuan Internasional untukbesaran-besaran pokok, yang harus dilakukan selanjutnya adalah menentukan nilai untuk tiap satuan tersebut. Berapa nilai satu kilogram tersebut? Berapa panjangkah satu meter? Berapa lamakah satu sekon? Penetapan ini pun ditentukan dalam Konferensi Umum Berat dan Ukuran para ahli seluruh dunia. Khusus untuk satuan massa, panjang, dan waktu, nilai satuan yang telah ditetapkan hingga saat ini sebagai berikut.</span><br />
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<img alt="Satuan Satuan Internasional untuk besaran pokok" border="0" height="201" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjfnUdRBvcHlXljyFY1XOG3AwGkka4eLV1q90kXd50riCF3Af33rCjpP2_DFWJung0KcrJ1hlOfhtUFPfpC28O7m21D1Aj9Dmu6m8WDqPnATK0HgbvTFdJrbEKKskxT3xdH-EIFHzo45mM/s320/Satuan+SI+untuk+besaran+pokok.jpg" title="Satuan Satuan Internasional untuk besaran pokok" width="320" /></div>
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Tabel - Satuan Satuan Internasional untuk besaran pokok.</div>
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1. Satuan Panjang </h4>
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Mula-mula satu meter didefinisikan berdasarkan keliling bumi. Ditetapkan bahwa keliling garis bujur bumi yang melalui kota Paris, Prancis ditetapkan memiliki panjang 40.000.000 m, seperti yang terlihat pada Gambar berikut. </div>
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<img alt="Penetapan Nilai SI atau Satuan Internasional untuk Besaran Pokok " border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg2j176KEaSF1tI2uDAI4ABTAIpUbInrI-pQqkkp3jsHC9QazSI3b9GNGC4SZTQGgsmO0mru-P3_HgHWuy4J5o3m2hIvjbz4LMzbXUjU9YIaLsy85ZmWgX2D_SE1T8db52Qobec_56heH0/s400/Mula-mula+keliling+garis+bujur+bumi+yang+melalui+kota+Paris+ditentukan+sama+dengan.jpg" title="Penetapan Nilai SI atau Satuan Internasional untuk Besaran Pokok " /></div>
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Mula-mula keliling garis bujur bumi yang melalui kota Paris ditentukan sama dengan 40.000.000 meter. Jadi satu meter sama dengan 1/40.000.000 keliling garis bujur yang melewati kota Paris tersebut. Definisi ini digunakan hingga akhir abad ke-19.</div>
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Jadi panjang satu meter sama dengan 1/40.000.000 keliling garis bujur bumi yang melalui kota Paris. Definisi ini menjadi tidak memadai ketika perkembangan ilmu pengetahuan dan teknologi menuntut pengukuran yang makin akurat. Tidak mungkin pengukuran yang akurat diperoleh dari satuan standar yang tidak akurat. </div>
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Pada akhir abad ke-19, panjang satu meter didefinisikan ulang. Panjang satu meter ditetapkan sama dengan jarak dua goresan pada batang campuran logam platina dan iridium yang tersimpan di International Bureau of Weight and Measures di kota Sevres, Prancis. </div>
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<img alt="Jarak dua goresan pada balok logam campuran dari platina dan iridium yang tersimpan di International Bureau of Weight and Measures. Definisi ini digunakan hingga tahun 1983" border="0" height="274" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgHdZ60sjnRb7o15lfd47qifLmzVlZAr4GCRFedoXFCkqhREKU3qRrwfdyuILWCOdzyMRsq6LWiXsw7Kl-H6GmjC6Y9T7qWwwVlA515HPVsEzR1mdsEUZ8nNX88jgOohnw59PiMaNUSXuc/s320/Jarak+dua+goresan+pada+balok+logam+campuran+dari+platina+dan+iridium+yang+tersimpan+di+International+Bureau+of+Weight+and+Measures.jpg" title="Jarak dua goresan pada balok logam campuran dari platina dan iridium yang tersimpan di International Bureau of Weight and Measures. Definisi ini digunakan hingga tahun 1983" width="320" /></div>
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Jarak dua goresan pada balok logam campuran dari platina dan iridium yang tersimpan di International Bureau of Weight and Measures. Definisi ini digunakan hingga tahun 1983.</div>
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Logam tersebut disimpan pada kondisi yang dikontrol secara ketat utuk menghindari perubahan dimensi akibat perubahan kondisi lingkungan seperti suhu, kelembaban udara, tekanan udara, intensitas cahaya, reaksi kimia, dan sebagainya. </div>
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Setelah laju cahaya dapat diukur dengan sangat teliti, pada Konferensi Umum Tentang Berat dan Pengukuran ke -17 tahun 1983, panjang satu meter didefinisikan ulang sebagai jarak tempuh cahaya dalam ruang hampa selama 1/299.792.458 sekon, seperti yang terlihat pada Gambar berikut. </div>
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<img alt=" Jarak tempuh cahaya dalam vakum selama 1/299.792.458 s ditetapkan sebagai panjang satu meter. Definisi ini digunakan sejak 1983 hingga saat ini" border="0" height="260" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgkrh5ImlpP3NW6pAKuTP0C0T91zUxIyst1p217qD9NzyZ9Kixnm8b4zFTQPtjtMVFk1AHiGVi5-DaQTs6dLQfjRmlY7j2q5MJ_iAsUjCKMgdBdEjEPFgN6cM65AIQE0Csh7HPGDeVn7f0/s320/Pengukuran+Kecepatan+Cahaya.jpg" title=" Jarak tempuh cahaya dalam vakum selama 1/299.792.458 s ditetapkan sebagai panjang satu meter. Definisi ini digunakan sejak 1983 hingga saat ini" width="320" /></div>
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Jarak tempuh cahaya dalam vakum selama 1/299.792.458 s ditetapkan sebagai panjang satu meter. Definisi ini digunakan sejak 1983 hingga saat ini.</div>
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Ini berarti pula bahwa selama satu sekon cahaya merambat dalam ruang hampa sepanjang 299.792.458 meter.</div>
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2. Satuan Massa </h4>
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Masa standar satu kilogram adalah massa silinder logam yang terbuat dari campuran logam platina dan iridium. Massa standar ini disimpan dalam kondisi yang dikontrol secara ketat di International Bureau of Weights and Measures di kota Sevres, Prancis. Sejak awal penetapan hingga saat ini, definisi massa standar tidak pernah berubah. </div>
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Beberapa negara membuat duplikat massa standar tersebut dan menyimpannya di lembaga pengukuran masing-masing. Gambar berikut adalah duplikat massa 1 kg standar yang disimpan di National Institute of Standard and Technology (NIST), Amerika Serikat.</div>
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<img alt="Duplikat massa standar yang disimpan di National Institute of Standard and Technology (NIST), Amerika Serikat (zelnio.org, museum.nist.gov)" border="0" height="131" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjqGZRqdAChy4-MRQRb4qV2wkfUzche25g1U7dUoqB6hNw9T1B21kZ2zg5NJTFuV8Zj4IcF9BaNHPFNPMhHQhDCvstv35hOBWMDM3iQjHoX-3w_sFVr_pKMhg6u4WCESMItA1O8T5VG8-E/s320/Duplikat+massa+standar+yang+disimpan+di+National+Institute+of+Standard+and+Technology+%2528NIST%2529%252C+Amerika+Serikat.jpg" title="Duplikat massa standar yang disimpan di National Institute of Standard and Technology (NIST), Amerika Serikat (zelnio.org, museum.nist.gov)" width="320" /></div>
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Duplikat massa standar yang disimpan di National Institute of Standard and Technology (NIST), Amerika Serikat (zelnio.org, museum.nist.gov).</div>
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3. Satuan Waktu </h4>
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Pada Konferensi Umum tentang Berat dan Pengukuran ke-13 tahun 1967 telah ditetapkan bahwa standar waktu satu detik didasarkan pada frekuensi gelombang yang dipancarkan atom. Atom Cesium dengan nomor atom 133 (Cesium-133) dipilih sebagai atom standar karena frekuensi gelombang yang dipancarkan dapat dihasilkan dengan mudah dan dapat diukur dengan ketelitian sangat tinggi. Cahaya yang dipancarkan atom Cesium-133 berosilasi sebanyak 9.192.631.770 kali dalam satu sekon, perhatikan Gambar berikut! </div>
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<img alt="Atom Cesium-133 memancarkan gelombang dengan frekuensi osilasi sebanyak 9 192 631 770 kali per sekon" border="0" height="134" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhmEkIbKnCoOJyrSCHCHjCHEPo4uCG1Or65edSXEZv_OQGcrKXhcxdL_sAg96wixWBK4wfW-OaVYEjSU4ACxgXGHvW1bEtEhSQgppxtc1g20NwqOcD_gLotKIGY0RvqUgWGFHxU9y0FfTo/s320/Atom+Cesium-133.png" title="Atom Cesium-133 memancarkan gelombang dengan frekuensi osilasi sebanyak 9 192 631 770 kali per sekon" width="320" /></div>
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Atom Cesium-133 memancarkan gelombang dengan frekuensi osilasi sebanyak 9 192 631 770 kali per sekon (en.wikipedia.com).</div>
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Dengan demikian, satu sekon didefinisikan sebagai waktu yang diperlukan oleh gelombang yang dipancarkan atom Cesium-133 untuk berosilasi sebanyak 9.192.631.770 kali.</div>
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Untuk memproduksi waktu standar tersebut maka dibuat jam yang didasarkan getaran gelombang yang dipancarkan atom Cesium-133. Jam tersebut dinamakan jam atom. Contoh jam atom pertama tersimpan di NIST, Amerika tampak pada Gambar berikut. </div>
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<img alt="Jam atom yang didasarkan atas frekuensi gelombang yang dipancarkan atom Cesium-133. Jam pada foto ini tersimpan di NIST, Amerika Serikat (nist.gov)" border="0" height="136" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhgrZ7-Gi9pLfYSwDqoG8QWFTpFfvNbARVF8SVMLFFpAg-sYQRvtjRyaeEdVL0FZhuk_0G13ltvWlYim-48-Z1TpC1tJWY0H-bMGlrxdd_tN4GhL2AxCck3aNBdyZdQzgNBAGEuhQOiGfU/s400/Jam+atom+yang+didasarkan+atas+frekuensi+gelombang+yang+dipancarkan+atom+Cesium-133.jpg" title="Jam atom yang didasarkan atas frekuensi gelombang yang dipancarkan atom Cesium-133. Jam pada foto ini tersimpan di NIST, Amerika Serikat (nist.gov)" width="400" /></div>
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Jam atom yang didasarkan atas frekuensi gelombang yang dipancarkan atom Cesium-133. Jam pada foto ini tersimpan di NIST, Amerika Serikat (nist.gov).</div>
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Jam atom menghasilkan ketelitian yang sangat tinggi. Kesalahan yang terjadi kurang dari 1 sekon dalam waktu 30.000 tahun.</div>
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Saat ini jam atom dipasang pada satelit-satelit GPS (global positioning system). Satelit GPS mengelilingi bumi dan membentuk konstelasi yang terdiri dari 24 atau 32 satelit. Setelit ini terus menerus memancarkan informasi yang berupa waktu dan posisi setiap saat. Waktu yang dipancarkan adalah waktu yang dihasilkan jam atom sehingga memiliki ketelitian yang sangat tinggi. Informasi waktu dan posisi yang dipancarkan sejumlah satelit GPS ditangkap oleh alat GPS yang ada di bumi. Alat GPS yang ada di bumi melakukan perhitungan berdasarkan waktu dan posisi yang dipancarkan oleh minimal tiga satelit GPS. Dari hasil perhitungan tersebut maka dapat diketahui secara akurat di mana posisi alat GPs tersebut.</div>
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<img alt="konstelasi satelit GPS yang mengitari bumi pada ketinggan 20.200 km dari permukaan bumi" border="0" height="176" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEilXiMnH8gDOpmXixKdY2jbS0Q2YPI07V8TmSIXh38URN2fHhvbJWIMeFE37LyhXfdAgJMIB930rJiLkB6TRy2UX5_l71vU-kK5N6uEa9_vghm9Ou86aD-ntmBRVQNgVSpkrFrmlIi_6S0/s320/konstelasi+satelit+GPS+yang+mengitari+bumi+pada+ketinggan+20.200+km+dari+permukaan+bumi.jpg" title="konstelasi satelit GPS yang mengitari bumi pada ketinggan 20.200 km dari permukaan bumi" width="320" /></div>
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konstelasi satelit GPS yang mengitari bumi pada ketinggan 20.200 km dari permukaan bumi.</div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjVy9tBZ7H0ejhm2IPGESTAm3JFBTV0ze85JKNVT0-h5TZjC1_EvHCzAifzTL2RXKuDp70r8r237vzwr1qxpwwGtlR6WqPegcL0YvVxA7FUcQlpCmg582MdQRBf78Nqqqogbz1HTMbv7gA/s1600/Proses+penerimaan+sinyal+satelit+oleh+alat.jpg" imageanchor="1"><img alt="Proses penerimaan sinyal satelit oleh alat GPS" border="0" height="256" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjVy9tBZ7H0ejhm2IPGESTAm3JFBTV0ze85JKNVT0-h5TZjC1_EvHCzAifzTL2RXKuDp70r8r237vzwr1qxpwwGtlR6WqPegcL0YvVxA7FUcQlpCmg582MdQRBf78Nqqqogbz1HTMbv7gA/s320/Proses+penerimaan+sinyal+satelit+oleh+alat.jpg" title="Proses penerimaan sinyal satelit oleh alat GPS" width="320" /></a></div>
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Proses penerimaan sinyal satelit oleh alat GPS.</div>
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Saat ini perangkat GPS menjadi sangat penting dalam kehidupan manusia. Transportasi pesawat udara, kapal laut semuanya mengandalkan GPS untuk mengetahui secara pasti di mana posisi pesawat atau kapal saat itu. Bahkan sistem autopilot pesawat mengandalkan data GPS untuk menentukan jalur yang akan ditempuh pesawat. Ketika memulai proses takeoff maka jalur yang akan ditempuh pesawat disimpan dalam komputer di dalam pesawat. Komputer yang nanti akan mengarahkan pesawat mengikuti jalur tersebut. Komputer mengetahui bahwa pesawat telah berada di jalur yang sudah diprogram berdasarkan data GPS yang diterima dari satelit. Sistem autopilot dijalankan ketika pesawat sudah berada pada posisi cruising (posisi lintasan tertinggi). Ketika saat takeoff atau mendarat maka pilot yang harus mengambil alih kendali pesawat.</div>
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gold.roger3425http://www.blogger.com/profile/11241720279056588223noreply@blogger.com0tag:blogger.com,1999:blog-6629470753799285607.post-61540260800354995872016-08-06T15:43:00.000-07:002017-10-15T00:01:35.105-07:00Materi Besaran dan Satuan – Fisika Dasar<div dir="ltr" style="text-align: left;" trbidi="on">
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<span style="text-align: left;">Kita semua tentu sudah tahu bahwa mobil Formula 1 bergerak jauh lebih cepat daripada kuda. Tetapi berapa kali lebih cepatkah? Kita tidak dapat menjawab sebelum mendapat informasi kecepatan mobil Formula 1 dan kecepatan lari kuda. Jika diinformasikan bahwa kecepatan mobil F1 adalah 250 km/jam dan kecepatan lari kuda adalah 50 km/jam kita langsung dapat menjawab bahwa mobil Formula 1 bergerak lima kali lebih cepat daripada kuda. </span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg1oJe8MG7dLm846DdgWNfTzZPYV9mbzArJ81XFTh-t9cy1Cm6zNoU26GSdl36hw92DU5jMoSknHs42Nw3XnSkH0SCX1TfVqbBTX94jIo99Ivcvlno9_AQxfM2LZUD-T_dL6-LWY_NqNRg/s1600/mobile+f1.JPG" imageanchor="1"><span style="font-family: inherit;"><img border="0" height="213" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg1oJe8MG7dLm846DdgWNfTzZPYV9mbzArJ81XFTh-t9cy1Cm6zNoU26GSdl36hw92DU5jMoSknHs42Nw3XnSkH0SCX1TfVqbBTX94jIo99Ivcvlno9_AQxfM2LZUD-T_dL6-LWY_NqNRg/s320/mobile+f1.JPG" width="320" /></span></a></div>
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<span style="font-family: inherit;">Ilustrasi: Mobil Formula 1</span></div>
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Pada Asian Games ke-16 di Guanzhou, lifter China Li Ping memecahkan dua rekor dunia angkat besi putri 53 kg, yaitu rekor snatch dan rekor total angkatan. Ia memecahkah rekor snatch lifter Korea Utara, Ri Song Hui, yang dibuat tahun 2002. Ia juga memecahkan rekor angkatan total yang dibuat lifter China lainnya Qiu Hongxia, yang diciptakan tahun 2006. Bagaimana kita bisa tahu bahwa Li Ping telah menciptakan rekor dunia baru? Jawabannya adalah karena beban yang berhasil diangkat para atlit tersebut dicatat nilainya. Rekor dunia snatch yang dibuat Ri Song Hui adalah 102 kg. Ketika Li Ping berhasil mengangkat snatch 103 kg maka kita langsung mengatakan bahwa Li Ping menciptakan rekor dunia baru untuk snatch. Rekor dunia angkatan total yang dibuat Qiu Hongxia adalah 226 kg. Dan ketika Li Ping berhasil melakukan angkatan total 230 kg maka kita langsung sepakat bahwa Li Ping telah menciptakan rekor dunia baru.</div>
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Travis Pastrana menciptakan rekor dunia baru lompat jauh dengan mobil rely menggunakan mobil Subaru. Ia memecahkan rekor sebelumnya yang dibuat tahun 2006. Bagaimana kita bisa simpulkan bahwa Pastrana telah menciptakan rekor dunia baru? Jawabannya karena jarak lompatan sebelumnya dan jarak lompatan Pastrana diukur. Jauh rekor lompatan sebelumnya adalah 171 kaki dan jauh lompatan Pastrana adalah 274 kaki. </div>
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Para peneliti di Helsinki University of Technology, Finlandia menciptakan rekor dunia baru untuk pencapaian suhu terendah. Bagaimana kita bisa tahu bahwa mereka berhasil membuat rekor dunia baru? Jawabanya karena nilai suhu pada rekor sebelumnya dicatat. Berkat pengukuran nilai suhu yang mereka capai, peneliti dari Finlandia mengetahui bahwa mereka telah menciptakan rekor baru. Rekor sebelumnya untuk pencapaian suhu terendah adalah 0,00000000028 K (280 piko Kelvin (pK)) yang dicapai tahun 1993. Dari hasil percobaan tanpa kenal menyerah selama 9 tahun, para peneliti dari Finlandia berhasil mendingikan logam rhodium hingga suhu 0,0000000001 (100 pK). Percobaan dilakukan melalui tiga tahap pendinginan. Tahap pertama mendinginkan hingga 3 mili kelvin, tahap kedua mendinginkan hingga 50 mikro kelvin, dan tahap ketiga medinginkan hingga piko kelvin hingga tercapai rekor dunia tersebut. </div>
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Kecepatan Formula 1 atau kuda, massa yang diangkat lifter, jauh lompatan mobil Pastrana, dan suhu yang dicapai peneliti Finlandia adalah contoh besaran Fisika. Besaran-besaran tersebut baru memiliki makna jika nilainya diberikan. Dengan adanya nilai maka semua orang akan memiliki kesimpulan yang sama. Sebagai contoh, dengan adanya nilai kecepatan mobil Formula 1 sebesar 250 km/jam dan kecepatan kuda 50 km/jam maka semua orang di dunia memiliki kesimpulan yang sama bahwa mobil Formula 1 bergerak lima kali lebih cepat dari kuda. Jika hanya disebutkan bahwa mobil Formula 1 lebih cepat dari kuda maka orang yang berbeda akan memili kesimpulan yang berbeda. Apakah dua kali lebih cepat, tiga kali lebih cepat, sepuluh kali lebih cepat, atau lainnya.</div>
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<span style="font-family: inherit;">1. Besaran Fisika </span></h4>
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Dari penjelasan di atas kita jadi tahu bahwa besaran fisika sangat penting. Besaran fisika adalah sifat benda atau gejala alam yang dapat diukur. Panjang, massa, lama waktu pertandingan bola, suhu udara, kekerasan benda, kecepatan mobil, terang cahaya, energi yang tersimpan dalam bensin, arus listrik yang mengalir dalam kabel, tegangan listrik PLN, daya listrik lampu ruangan, dan massa jenis air adalah contoh sifat-sifat benda yang dapat dikur. Maka semuanya merupakan besaran fisika. </div>
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<span style="font-family: inherit;">Jika didaftar, jumlah besaran fisika yang ada saat ini sangat banyak. Namun, dari besaran yang banyak tersebut, ternyata satu besaran dapat diperoleh dari besaran-besaran fisika yang lainya. Contohnya, besaran massa jenis dapat diperoleh dari besaran massa dan volum. Massa jenis adalah hasil bagi massa dengan volum. Besaran gaya dapat diperoleh dari besaran massa dan percepatan, di mana gaya adalah hasil perkalian massa dan percepatan. Besaran volum dapat diperoleh dari pengukuran tiga besaran panjang (panjang, lebar, dan tinggi). </span></div>
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<span style="font-family: inherit;">Karena adanya hubungan antar besaran-besaran tersebut, tentulah ada sekelompok besaran fisika saja yang lebih mendasar dan semua besaran fisika lainnya (yang sangat banyak tersebut) dapat diturunkan dari besaran dalam kelompok tersebut. Kelompok besaran yang mendasar inilah yang harus ditentukan. Kelompok besaran ini selanjutknya dinamakan besaran pokok. Berdasarkan sejumlah pertemuan para ahli fisika seluruh dunia, akhirnya ditetapkan tujuh besaran pokok dalam fisika. Tujuh besaran tersebut tampak dalam Tabel berikut.</span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjSERIj1go-DgSQs2NtdXGivYTfUHIQVsNJA5ssPo9r0Gk30HiRFXeEWlFJq6ANIm1UqflIZIJozTi9Sety1vF7hOSkEPFyB8ulRinUn9vRI5LXgTm92bBU2XumQtX1KHMaAewcrQXQ4QE/s1600/Tujuh+besaran+pokok+dalam+fisika.png" imageanchor="1"><span style="font-family: inherit;"><img alt="Tujuh besaran pokok dalam fisika" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjSERIj1go-DgSQs2NtdXGivYTfUHIQVsNJA5ssPo9r0Gk30HiRFXeEWlFJq6ANIm1UqflIZIJozTi9Sety1vF7hOSkEPFyB8ulRinUn9vRI5LXgTm92bBU2XumQtX1KHMaAewcrQXQ4QE/s1600/Tujuh+besaran+pokok+dalam+fisika.png" title="Tujuh besaran pokok dalam fisika" /></span></a></div>
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<span style="font-family: inherit;">Tabel - Tujuh besaran pokok dalam fisika</span></div>
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<span style="font-family: inherit;">Mengapa besaran pokok hanya tujuh? Mengapa yang ada di Tabel diatas yang ditetapkan sebagai besaran pokok? Penetapan ini didasarkan atas diskusi dan perdebatan yang lama antar ahli fisika terkenal di seluruh dunia. Beberapa alasan pemilihan tersebut di antaranya :</span></div>
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<span style="font-family: inherit;">a) Tujuh besaran tersebut merupakan jumlah paling sedikit yang masih memungkinkan besaran-besaran lain dapat diturunkan. Jika kurang dari tujuh maka ada besaran lain yang tidak dapat diperoleh dari besaran pokok. </span></div>
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<span style="font-family: inherit;">b) Tujuh besaran yang ada dalam Tabel diatas dapat diukur dengan ketelitian sangat tinggi. Karena besaran pokok akan menurunkan besaran lain maka besaran-besaran tersebut harus dapat ditentukan dengan sangat teliti. </span></div>
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<span style="font-family: inherit;">c) Besaran massa, pajang, dan waktu telah memiliki sejarah penggunaan yang sangat lama dalam mekanika. Maka dalam penentuan besaran pokok, ketiga besaran tersebut dimasukkan. </span></div>
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<span style="font-family: inherit;">Semua besaran fisika selain tujuh besaran pokok dalam Tabel diatas dinamakan besaran turunan. Semua besaran turunan merupakan kombinasi dari besaran-besaran pokok. Karena jumlah besaran fisika sangat banyak maka boleh dikatakan bahwa hampir semua besaran fisika merupakan besaran turunan. Besaran pokok hanyalah himpunan yang sangat kecil daripada himpunan besar besaran fisika seperti diilustrasikan pada Gambar berikut.</span></div>
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<span style="font-family: inherit;"><img alt="Ilustrasi cakupan besaran pokok dan sebsaran turunan. Hampir semua besaran fisika adalah besaran turunan karena besaran pokok hanya ada tujuh" border="0" height="308" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjrXy_welYiJeOlC61PzGVs_yg-1YjA8jWVoZdLjJxJ9i_VjEquV7KdC3oHjD4u_D9QLs0q6RUjrMhBQ6PJomAtLeEvu-RZBinjVwXCCei_TdJEcEsFWgzlT05P678EB1qwFdf8IRN0Hyg/s320/Ilustrasi+cakupan+besaran+pokok+dan+sebsaran+turunan.png" title="Ilustrasi cakupan besaran pokok dan sebsaran turunan. Hampir semua besaran fisika adalah besaran turunan karena besaran pokok hanya ada tujuh" width="320" /></span></div>
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<span style="font-family: inherit;">Gambar 1 - Ilustrasi cakupan besaran pokok dan sebsaran turunan. Hampir semua besaran fisika adalah besaran turunan karena besaran pokok hanya ada tujuh.</span></div>
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<span style="font-family: inherit;">Beberapa contoh besaran turunan yang sudah sering kita dengar atau kita gunakan adalah luas (kombinasi dua buah besaran pokok panjang), massa jenis (kombinasi besaran pokok massa dan besaran turunan volum) sedangkan besaran turunan volum merupakan kombinasi tiga besaran pokok panjang, dan kecepatan merupakan kombinasi besaran pokok panjang dan besaran pokok waktu.</span></div>
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<span style="font-family: inherit;">2. Pengukuran dan Satuan</span></h4>
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Bagaimana para peneliti Finlandia mengatahui bahwa mereka telah mencapai suhu 100 pK? Bagaimana wasit mengetahui bahwa Li Ping telah mengangkat barbell 230 kg? Bagaimana juri mengetahui bahwa Pastrana telah melopmat dengan mobil sepanjang 274 kaki? Pastilah, semuanya diketahui setelah dilakukan pengukuran.</div>
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Jadi, nilai besaran-besaran fisika hanya dapat diketahui setelah dilakukan pengukuran. Lalu, apakah pengukuran itu? Apa yang kalian lakukan ketika melakukan pengukuran? Tentu kalian mengambil alat ukur yang sesuai. Kemudian kalian membandingkan nilai yang tertera pada alat ukur dengan besaran fisik benda. Inilah yang dinamakan pengukuran.</div>
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Ketika angka nol pada penggaris berimpit dengan ujung kiri buku dan angka 5,5 inchi berimpit dengan ujung kanan buku maka kita simpulkan lebar buku adalah 5,5 inci. Ketika beras ditempatkan di atas neraca dan neraca menunjukkan pembacaan 1,5 kg maka kita simpulkan bahwa massa beras adalah 1,5 kg, Ketika jarum speedometer mobil menunjukkan angka 145 km/jam maka kita simpulkan bahwa laju mobil saat itu adalah 145 km/jam. Guru meminta tiga siswa mengukur panjang meja. Siswa pertama melaporkan 1,5. Siswa kedua melaporkan 150. Siswa ketiga melaporkan 1.500. </div>
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Siapakah yang benar? Belum tahu, karena dalam laporan tiga siswa ada informasi yang hilang, yaitu satuan yang digunakan. Kalau siswa pertama melaporkan 1,5 m, siswa kedua melaporkan 150 cm, dan siswa ketiga melaporkan 1.500 mm maka hasil pengukuran mereka bertiga persis sama. Dan orang lain yang tidak ikut mengukur akan memberi kesimpulan yang sama tentang panjang meja. </div>
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Tampak bahwa satuan sangat penting dalam fisika. Hasil pengukuran tanpa satuan hanya membingungkan orang. Hasil pengukuran yang disertai satuan akan ditafsirkan sama oleh siapa pun dan di mana pun. Jika kalian melakukan pengukuran besaran fisika, kalian wajib menyertakan satuan yang sesuai. </div>
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Ketika kaidah ilmiah belum dibangun, masyarakat sebenarnya telah melakukan pengukuran. Namun satuan pengukuran yang mereka gunakan umumnya tidak baku. Mereka menggunakan satuan jengkal, hasta, depa, yang bisa berbeda antara satu orang dengan orang lainnya. Panjang benda yang kalian ukur dengan jengkal tentu memberikan nilai yang berbeda jika diukur dengan jengkal guru. Untuk meja yang sama, mungkin kalian mendapatkan 10 jengkal, sedangkan guru hanya mendapatkan 8 jengkal. Hasil pengukuran dengan besaran tidak baku tidak dapat digunakan untuk komunikasi antar peneliti, tidak dapat digunakan dalam penelitian ilmiah, dan tidak dapat digunakan dalam pembangunan industri. </div>
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Nilai pengukuran akan berguna jika dilakukan dalam satuan baku. <u><b>Satuan baku adalah</b></u> satuan yang diterima secara umum dan terdefinisi dengan pasti nilainya. Contoh satuan baku untuk pengukuran panjang adalah meter, sentimeter, millimeter, kilometer, kaki, inci, mil, dan sebagainya. Semua orang di dunia memiliki penafsiran yang sama tentang panjang satu meter, satu millimeter, satu inci, satu kaki, dan sebagainya. Apabila dilaporkan panjang benda adalah 1,4 meter maka semua orang akan memiliki kesimpulan yang sama.</div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg0v9OAyogx6khb10yVIqpWBlFVVOw8jixfo9ZMITzRWQUySA_FS6cV6pjFZCWrQQ73RvMwtFMY-3-tSxEqZdUmKKvlfS9xd20xdgzLjIgKfA0KS3xTOpY-L2iXuk99K9FBCcGYPgybXio/s1600/Jengkal+merupakan+alat+ukur+yang+tidak.jpg" imageanchor="1"><span style="font-family: inherit;"><img alt="Jengkal merupakan alat ukur yang tidak baku. Orang berbeda memiliki panjang jengkal berbeda sehingga hasil pengukuran yang dilaporkan berbeda." border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg0v9OAyogx6khb10yVIqpWBlFVVOw8jixfo9ZMITzRWQUySA_FS6cV6pjFZCWrQQ73RvMwtFMY-3-tSxEqZdUmKKvlfS9xd20xdgzLjIgKfA0KS3xTOpY-L2iXuk99K9FBCcGYPgybXio/s400/Jengkal+merupakan+alat+ukur+yang+tidak.jpg" title="Jengkal merupakan alat ukur yang tidak baku. Orang berbeda memiliki panjang jengkal berbeda sehingga hasil pengukuran yang dilaporkan berbeda." /></span></a></div>
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<span style="font-family: inherit;">Gambar 2 - Jengkal merupakan alat ukur yang tidak baku. Orang berbeda memiliki panjang jengkal berbeda sehingga hasil pengukuran yang dilaporkan berbeda.</span></div>
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<span style="font-family: inherit;">3. Satuan Sistem Internasional </span></h4>
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Tampak dari Gambar 3, bahwa satuan panjang yang baku juga bermacam-macam. Ukuran ketinggian jelajah peawat biasanya menggunakan satuan kaki. Ukuran layar TV atau komputer biasanya menggunakan satuan inci. Ketinggian bangunan ada yang menggunakan satuan meter ada yang menggunakan satuan kaki. Satuan kaki, inci, dan meter adalah satuan panjang yang baku karena berapa panjangnya telah terdefinisi dengan jelas. </div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgwSb5UaStQ_lGugMhDnfw4aycn3cXYEdEDOuwt5IEaJZWk4ZyLOoTUupq49AwMGi6_bf9GlW4KALfN0TohjKLDNZJxskFY6ZWmzD7BSgzvMcCuWiMPuuSTI7EmeRcDkSysfoQIU3V93xw/s1600/satuan+internasional.jpg" imageanchor="1"><span style="font-family: inherit;"><img alt="Satuan Sistem Internasional" border="0" height="286" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgwSb5UaStQ_lGugMhDnfw4aycn3cXYEdEDOuwt5IEaJZWk4ZyLOoTUupq49AwMGi6_bf9GlW4KALfN0TohjKLDNZJxskFY6ZWmzD7BSgzvMcCuWiMPuuSTI7EmeRcDkSysfoQIU3V93xw/s320/satuan+internasional.jpg" title="Satuan Sistem Internasional" width="320" /></span></a></div>
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Gambar 3 - Pesawat Garuda ini sedang terbang pada ketinggian 35.000 kaki diukur dari permukaan laut. Berapa meterkah ketinggian pesawat Garuda? Layar TV LCD memiliki ukuran 42 inci. Berapa meterkah ukuran layar tersebut? Burj Dubai ini merupakan salah satu banguan tertinggi di dunia saat ini dengan ketinggian 555,3 meter.</div>
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Namun tidak semua orang akrab dengan bermacam-macam satuan baku tersebut. Kita di Indonesia lebih mudah menggunakan satuan meter daripada kaki dan inci. Negara lain mungkin lebih sering menggunakan satuan kaki atau inci. Untuk menyeragamkan penggunaan satuan di seluruh dunia, pada Konferensi Umum Berat dan Pengukuran ke-14 tahun 1971 ditetapkan satuan internasional untuk tujuh besaran pokok. Satuan tersebut selanjutnya dinamakan satuan SI (Le Systeme Internationale). Satuan SI untuk tujuh besaran pokok tampak pada Tabel Tujuh besaran pokok dalam fisika diatas. </div>
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Cabang fisika yang paling awal berkembang adalah mekanika. Di dalam mekanika, besaran fisika yang digunakan hanayalah panjang, massa, dan waktu. Satuan SI untuk ketiga besaran terebut adalah meter, kilogram, dan sekon. Kelompok tiga satuan ini diberi nama khusus yaiu satuan MKS (M = meter, K = kilogram, dan S = second). </div>
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Satuan lain yang digunanakan untuk tiga besaran dalam mekanika adalah centimeter untuk panjang, gram untuk massa, dan second untuk waktu. Ketiga satuan tersebut juga diberi naka khusus yaitu satuan CGS (C = centimeter, G = gram, dan S = second). Kaitan antara satuan MKS dan CGS sangat mudah, yaitu 1 meter = 100 centimeter dan 1 kilogram = 1 000 gram.</div>
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<span style="font-family: inherit;"><br />4. Penetapan Nilai Satuan SI untuk Besaran Pokok </span></h4>
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Setelah para ahli menetapkan satuan SI untuk besaran-besaran pokok, yang harus dilakukan selanjutnya adalah menentukan nilai untuk tiap satuan tersebut. Berapa nilai satu kilogram tersebut? Berapa panjangkah satu meter? Berapa lamakah satu sekon? Penetapan ini pun ditentukan dalam Konferensi Umum Berat dan Ukuran para ahli seluruh dunia. Khusus untuk satuan massa, panjang, dan waktu, nilai satuan yang telah ditetapkan hingga saat ini dapat Anda lihat pada tautan beikut.</div>
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MateriPenetapan Nilai Satuan SI untuk Besaran Pokok – Fisika Dasar</div>
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Demikianlah materi Fisika tentang Besaran dan Satuan ini saya sampaikan, semoga bermanfaat.</div>
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gold.roger3425http://www.blogger.com/profile/11241720279056588223noreply@blogger.com0tag:blogger.com,1999:blog-6629470753799285607.post-9254657726769760412016-07-31T15:26:00.000-07:002017-10-15T00:01:46.189-07:007 Struktur Molekul Dasar – Materi Kimia<div dir="ltr" style="text-align: left;" trbidi="on">
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<b><u>Struktur Molekul Dasar</u></b> - Walaupun jumlah materi di alam sangat banyak dan beragam, tetapi pada dasarnya materi tersebut dibangun oleh beberapa jenis atom dengan struktur yang terbatas. Jumlah cara penyusunan atom dalam molekul tidak banyak sebab dibatasi oleh sudut antarikatan dan sifat partikel penyusunnya. Teori yang mengkaji aspek struktur molekul adalah teori ikatan valensi (berdasarkan mekanika kuantum), teori domain elektron (berdasarkan teori Lewis), dan teori hibridisasi. </div>
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Terdapat sekitar tujuh bentuk molekul yang sederhana, yaitu bentuk linear, trigonal planar, trigonal piramidal, segiempat datar, tetrahedral, tirogonal bipiramidal, dan oktahedral.</div>
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<b><u>1. Bentuk Linear</u></b></div>
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Suatu molekul dikatakan linear jika atom-atom yang menyusun molekul tersebut berada dalam suatu garis lurus. Contohnya, BeCl<sub>2</sub>dan CO<sub>2 </sub>. Sudut yang dibentuk oleh ikatan antara dua atom melalui atom pusat sebesar 180°.</div>
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<img alt="Bentuk molekul Linear" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEizPLOtRVwbUhuuIdh0yZtWDIgcvdRSQ_gPf_t0Kq2DC2uR94gZPi_ItiWliOVML2dOQdwJa5vnwr36KBoJYEjXlgeIhdm0S6OUlhHsPVVAKM-gjaPkLT_Gyqm74RXekdtAyRRWHzPtX5k/s400/Bentuk+molekul+Linear.png" title="Bentuk molekul Linear" /></div>
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Linear</div>
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<b><u>2. Trigonal Planar</u></b></div>
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Suatu bentuk molekul dikatakan trigonal planar jika di dalam molekulnya terdapat empat buah atom dan semua atom berada pada bidang yang sama. Atom pusat dikelilingi oleh tiga atom lain yang berada pada sudut-sudut segitiga. Sudut ikatan yang dibentuk di antara dua ikatan melalui atom pusat sama besar yaitu 120°. Contohnya, molekul BCl<sub>3</sub>dan BF<sub>3</sub>.</div>
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<img alt="Bentuk molekul Trigonal Planar" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiDEwaOlfUG2G_kuo0kEr_oQ7f0ObjsJhxIL0MIR8OxngqeuguLmnRtDHfzon7yLAZdcUrHwa0s4IJMW2x9mUe5iiDuH8TCLgg7rk459CaWLm255ial3dFKj1eflLsMkjYuxVSe0BybhiQ/s400/Bentuk+molekul+Trigonal+Planar.png" title="Bentuk molekul Trigonal Planar" /></div>
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Trigonal Planar</div>
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<b><u>3. Trigonal Piramidal</u></b></div>
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Trigonal piramidal adalah suatu bentuk molekul dengan empat buah muka segitiga sama sisi. Suatu molekul dikatakan berbentuk trigonal piramidal jika memilki empat buah atom. Atom pusat ditempatkan pada sudut puncak limas, dan atom lainnya berada pada sudut-sudut limas yang berada pada bidang datar segitiga. Contohnya, molekul NH<sub>3</sub> .</div>
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<img alt="Bentuk molekul Trigonal piramidal" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjElwYdoO5Z8s3NAcTlTIAmKCiMLNDeOt2-zz7Wd_lJMDJkfCJQ8tSIyn0KLVMaSflELXjZvcDCxxIwr6YOYk1zk8Y0-gp7ztB30V_K1CwZXFI1iIsNMIY7BuCBvWeQMbeMGi7sNTPUPRM/s400/Bentuk+molekul+Trigonal+piramidal.png" title="Bentuk molekul Trigonal piramidal" /></div>
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Trigonal Piramidal</div>
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<b><u>4. Bujur Sangkar</u></b></div>
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Suatu bentuk molekul dikatakan bujur sangkar jika dalam molekul terdapat lima buah atom dan semua atom berada pada bidang datar yang sama. Atom pusat dikelilingi oleh empat atom lain yang berada pada sudut- sudut segiempat. Sudut ikatan yang dibentuk antara dua ikatan yang melalui pusat sama besar, yaitu 90°. Contohnya, molekul XeF<sub>4</sub>.</div>
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<img alt="Bentuk molekul Bujur sangkar" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhNsU7a5LARGGaWFKT1jfQeFX6wn6TdeVVQ2U1OCVUaWvIVV6Pbf8FuIknQjeL4uPV7v1N2-17b6b4rBrV_2AR-7C30_1SqCKR2hQedGySBfAXNX6yn8zUNjrppKMq1lzKBT486xKqEx5c/s400/Bentuk+molekul+Bujur+sangkar.png" title="Bentuk molekul Bujur sangkar" /></div>
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Bujur Sangkar</div>
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<b><u>5. Tetrahedral </u></b></div>
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Tetrahedral adalah limas segiempat dengan muka segitiga sama sisi. Suatu bentuk molekul tergolong tetrahedral jika dalam molekulnya terdapat lima buah atom. Atom pusat ditempatkan pada pusat tetrahedral dan empat atom lain berada pada sudut-sudut tetrahedral yang terlihat pada ujung-ujung bidang segitiga sama sisi. Sudut ikatan yang dibentuk sama besar, yaitu 109,5°. Contohnya, molekul CH<sub>4</sub>.</div>
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<img alt="Bentuk molekul Tetrahedral" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi7bm_pb-Tn1-4HBwNGEj4O2kuLFswHR8omEo9icOauc7HvzAXcwg8jjnYwPoKa3qTQTyelbS1vpw4Q5x9yeOrackwX5O55KyNJb5w4sXKY3hZOzjsjO4EySKeurxWRp8pVh10ghI4R7cE/s400/Bentuk+molekul+Tetrahedral.png" title="Bentuk molekul Tetrahedral" /></div>
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Tetrahedral </div>
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<b><u>6. Trigonal Bipiramidal </u></b></div>
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Trigonal bipiramidal terdiri atas dua buah limas yang bagian alasnya berimpit. Suatu molekul memiliki bentuk trigonal bipiramidal jika dalam molekulnya terdapat enam buah atom. Dalam trigonal bipiramidal, atom pusat ditempatkan pada pusat alas yang berimpit dan dikelilingi oleh lima atom lain yang ditempatkan pada sudut-sudut trigonal bipiramidal. Dalam bentuk molekul ini sudut ikatan tidak sama. Sudut ikatan yang terletak pada pusat bidang datar segitiga masing-masing 120°, sedangkan sudut ikatan antara bidang pusat dan titik sudut atas serta bawah bidang adalah 90°. Contohnya, molekul PCl<sub>5</sub>.</div>
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<img alt="Bentuk molekul Trigonal bipiramidal" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhZFjW8ECeLAEZPww_obU0uu3zGP6ETUZepOiLXF5QEXNbfYnPPDXWqnwS-F0P5ChanwypXnLxgrGj5uodu2EjD1qYFCm7Gh6NuHdGa4NorGPshQa4ueCYBZ53SRLvTKy9lT5qAbMgCKuU/s400/Bentuk+molekul+Trigonal+bipiramidal.png" title="Bentuk molekul Trigonal bipiramidal" /></div>
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Trigonal Bipiramidal </div>
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<b><u>7. Oktahedral </u></b></div>
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Oktahedral adalah bentuk yang memiliki delapan muka segitiga, dibentuk dari dua buah limas alas segiempat yang berimpit. Suatu molekul memiliki bentuk oktahedral jika tersusun dari tujuh atom. Atom pusat ditempatkan pada pusat bidang segiempat yang berimpit. Enam atom lain terletak pada sudut-sudut oktahedral. Sudut antarikatan yang terbentuk sama besar, yaitu 90°. Contohnya, molekul SF<sub>6</sub>dan XeF<sub>6</sub>.</div>
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<img alt="Bentuk molekul Oktahedral" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEglqW2AMmrqyExCH6Nb-Ep_7JzXKJliVjl_p9MgdN-we85ZPQcT8XMq3ECLXieN3gVLT3LMDsoL4LToVbrX9NW6TyoyQy4IKmWuzEuvlof-MjY0gD5yO02fh5twfAiIRPgXsU31R9iUpwI/s400/Bentuk+molekul+Oktahedral.png" title="Bentuk molekul Oktahedral" /></div>
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Oktahedral</div>
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Demikianlah materi Kimia tentang <b><u>Struktur Molekul Dasar</u></b> ini saya sampaikan, semoga bermanfaat.</div>
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gold.roger3425http://www.blogger.com/profile/11241720279056588223noreply@blogger.com0tag:blogger.com,1999:blog-6629470753799285607.post-63304283814552448202016-07-31T15:19:00.000-07:002017-10-15T00:02:00.218-07:00Penjelasan tentang Bentuk Orbital pada Atom<div dir="ltr" style="text-align: left;" trbidi="on">
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Bentuk orbital ditentukan oleh bilangan kuantum azimut. Bilangan kuantum ini diperoleh dari suatu persamaan matematika yang mengandung trigonometri (sinus dan cosinus). Akibatnya, bentuk orbital ditentukan oleh bentuk trigonometri dalam ruang. </div>
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1. Orbital-s </h4>
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Peluang terbesar keberadaan elektron dalam atom Inti atom Orbital-s memiliki bilangan kuantum azimut, <i>l</i> = 0 dan m= 0. Oleh karena nilai m sesungguhnya suatu tetapan (tidak mengandung trigonometri) maka orbital-s tidak memiliki orientasi dalam ruang sehingga orbital-s ditetapkan berupa bola simetris di sekeliling inti. Permukaan bola menyatakan peluang terbesar ditemukannya elektron dalam orbital-s. Hal ini bukan berarti semua elektron dalam orbital-s berada di permukaan bola, tetapi pada permukaan bola itu peluangnya tertinggi ( ≈ 99,99%), sisanya bolehjadi tersebar di dalam bola, lihat Gambar berikut.</div>
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<img alt="Bentuk Orbital pada Atom - Orbital S" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhhnpoLRe9cJOrxuCAClIA_ez7YDnSC5sSYXtby6k2Z5iDi9rxuu3AwlTMUQRQRhkCcANcrRCJ0fu0jjm4ABUStPaB8T8xvE0G9HyXiFG_A6JCfpczrNOM0azSgvNdExYY9fIHKiVJP-U0/s400/Peluang+keberadaan+elektron+dalam+atom.png" title="Bentuk Orbital pada Atom - Orbital S" /></div>
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Peluang keberadaan elektron dalam atom. Peluang terbesar ( ≈ 99,99%) berada pada permukaan bola.</div>
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<br />2. Orbital-p</h4>
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Orbital-p memiliki bilangan kuantum azimut, <i>l</i> = 1 dan m= 0, ±l. Oleh karena itu, orbital-p memiliki tiga orientasi dalam ruang sesuai dengan bilangan kuantum magnetiknya. Oleh karena nilai m sesungguhnya mengandung sinus maka bentuk orbital-p menyerupai bentuk sinus dalam ruang, seperti ditunjukkan pada Gambar berikut.</div>
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<img alt="Kumpulan orbital p dengan berbagai orientasi" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjRoeOQw1TYlgEPlCK2Qywv3ekzcAXGwV5PEn29gkCVWtDE_ViEd_O-10Mn3ici8KaeCI6aPyOhZKclj7PMnT6Fmg_OYIlWV5GAbG8knG7Wy5-3t_HwGAMI8eTVH2S3e5MExZ6V_7zJzVw/s400/Kumpulan+orbital+p+dengan+berbagai+orientasi.png" title="Kumpulan orbital p dengan berbagai orientasi" /></div>
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Kumpulan orbital p dengan berbagai orientasi.</div>
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Ketiga orbital-p memiliki bentuk yang sama, tetapi berbeda dalam orientasinya. Orbital-p x memiliki orientasi ruang pada sumbu-x, orbital-p y memiliki orientasi pada sumbu-y, dan orbital-p z memiliki orientasi pada sumbu-z. Makna dari bentuk orbital-p adalah peluang terbesar ditemukannya elektron dalam ruang berada di sekitar sumbu x, y, dan z. Adapun pada bidang xy, xz, dan yz, peluangnya terkecil.</div>
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3. Orbital-d</h4>
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Orbital-d memiliki bilangan kuantum azimut <i>l</i> = 2 dan m = 0, ±1, ±2. Akibatnya, terdapat lima orbital-d yang melibatkan sumbu dan bidang, sesuai dengan jumlah bilangan kuantum magnetiknya. Orbital-d terdiri atas orbital- d<sub>z</sub>2 , orbital- d <sub>xz</sub> , orbital- d <sub>xy</sub> , orbital- d <sub>yz </sub>, dan orbital- d <sub>x</sub>2 - <sub>y</sub>2 (perhatikan Gambar 1.10).</div>
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<img alt="Kumpulan orbital d dengan berbagai orientasi" border="0" height="281" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjLsyyn6xESRgLSbtkItgjFSV7UKoP3bfnuBAp2KDrUJiEgJnTtup8ynH74XAXtbeEykaq5xoyUXAnuO4kXReSF-PYp0KZIDnLK7gZszatIokq0HvTLuk6xFukYbNJb-w0ppw2s37lY_Ls/s400/Kumpulan+orbital+d+dengan+berbagai+orientasi.png" title="Kumpulan orbital d dengan berbagai orientasi" width="400" /></div>
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Kumpulan orbital d dengan berbagai orientasi.</div>
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Orbital d <sub>xy</sub> , d <sub>xz</sub> , d <sub>yz</sub> , dan d <sub>x</sub>2 − <sub>y </sub>2 memiliki bentuk yang sama, tetapi orientasi dalam ruang berbeda. Orientasi orbital-d<sub> xy</sub> berada dalam bidang xy, demikian juga orientasi orbital-orbital lainnya sesuai dengan tandanya. Orbital d <sub>x</sub> 2 − <sub>y </sub>2 memiliki orientasi pada sumbu x dan sumbu y. Adapun orbital d<sub> z</sub> 2 memiliki bentuk berbeda dari keempat orbital yang lain. </div>
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Orientasi orbital ini berada pada sumbu z dan terdapat “donat” kecil pada bidang-xy. Makna dari orbital-d adalah, pada daerah-daerah sesuai tanda dalam orbital (xy, xz, yz, x<sup> 2 </sup>–y<sup> 2</sup> , z<sup>2</sup> ) menunjukkan peluang terbesar ditemukannya elektron, sedangkan pada simpul-simpul di luar bidang memiliki peluang paling kecil. Bentuk orbital-f dan yang lebih tinggi dapat dihitung secara matematika, tetapi sukar untuk digambarkan atau diungkapkan keboleh- jadiannya sebagaimana orbital-s, p, dan d. Kesimpulan umum dari hasil penyelesaian persamaan Schrodinger dapat dirangkum sebagai berikut.</div>
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<i><b>Setiap orbital dicirikan oleh tiga bilangan kuantum n, , dan m yang memiliki ukuran, bentuk, dan orientasi tertentu dalam ruang kebolehjadian. Elektron-elektron yang mengh</b></i></div>
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<i><b>uni orbital memiliki spin berlawanan sesuai temuan Stern-Gerlach.</b></i></div>
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Secara lengkap, peluang keberadaan elektron dalam atom dapat Anda lihat pada Tabel berikut.</div>
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<img alt="Bilangan Kuantum dan Orbital Atom" border="0" height="394" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjwA7IwYS8GflwZ2oChybkE56uPBnklFE07_GKeJxYiwAzj6gkEkb4vF9GIdQ0NxQl-VcXvwLLOBv-Y5QvsfJTvyIsO-IcOx5ENqhnWHOKPL3R3F0YMdBUuWaHkNMFs8ahLLuV1cGLm_18/s640/Bilangan+Kuantum+dan+Orbital+Atom.png" title="Bilangan Kuantum dan Orbital Atom" width="640" /></div>
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Tabel - Bilangan Kuantum dan Orbital Atom</div>
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Demikianlah materi Kimia tentang <b><u>Bentuk Orbital pada Atom</u></b> ini saya sampaikan, semoga bermanfaat. </div>
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gold.roger3425http://www.blogger.com/profile/11241720279056588223noreply@blogger.com0tag:blogger.com,1999:blog-6629470753799285607.post-14215749097379576332016-07-30T10:21:00.000-07:002017-10-15T00:02:36.528-07:00Penjelasan tentang Teori Atom Mekanika Kuantum <div dir="ltr" style="text-align: left;" trbidi="on">
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<b><u>Teori Atom Mekanika Kuantum</u></b> - <span style="line-height: 150%;">Kegagalan teori atom Bohr dalam menerangkan spektra atom hidrogen dalam medan magnet dan medan listrik, mendorong Erwin Schrodinger mengembangkan teori atom yang didasarkan pada prinsip- prinsip mekanika kuantum. Teori atom mekanika kuantum mirip dengan yang diajukan oleh model atom Bohr, yaitu atom memiliki inti bermuatan positif dikelilingi oleh elektron-elektron bermuatan negatif. Perbedaannya terletak pada posisi elektron dalam mengelilingi inti atom.</span></div>
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<span style="line-height: 150%;">Menurut Bohr, keberadaan elektron-elektron dalam mengelilingi inti atom berada dalam orbit dengan jarak tertentu dari inti atom, yang disebut jari-jari atom (perhatikan Gambar berikut).</span></div>
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<img alt="Menurut Bohr, jarak elektron dari inti atom hidrogen adalah 0,529Å" border="0" height="256" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjFAvYMLkAPRDtZcg6zlpcwcd6pOXG7uzZtt27HpDdyzWHUwBMwLUFtoGeiI-PwxgYOJ2K6YAX8351_OEQBFMmSPZzUu_O5_xh1LnrP6oeVaziJVN-u6dH-OJW23jhg0Q5fyVzeIpLFF9M/s320/jarak+elektron+dari+inti+atom+hidrogen+menurut+Bohr.png" title="Menurut Bohr, jarak elektron dari inti atom hidrogen adalah 0,529Å" width="320" /></div>
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Menurut Bohr, jarak elektron dari inti atom hidrogen adalah 0,529Å.</div>
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Menurut teori atom mekanika kuantum, posisi elektron dalam mengelilingi inti atom tidak dapat diketahui secara pasti sesuai prinsip ketidakpastian Heisenberg. Oleh karena itu, kebolehjadian (peluang) terbesar ditemukannya elektron berada pada orbit atom tersebut. Dengan kata lain, orbital adalah daerah kebolehjadian terbesar ditemukannya elektron dalam atom. </div>
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Menurut model atom mekanika kuantum, gerakan elektron dalam mengelilingi inti atom memiliki sifat dualisme sebagaimana diajukan oleh de Broglie. Oleh karena gerakan elektron dalam mengelilingi inti memiliki sifat seperti gelombang maka persamaan gerak elektron dalam mengelilingi inti harus terkait dengan fungsi gelombang. Dengan kata lain, energi gerak (kinetik) elektron harus diungkapkan dalam bentuk persamaan fungsi gelombang. </div>
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Persamaan yang menyatakan gerakan elektron dalam mengelilingi inti atom dihubungkan dengan sifat dualisme materi yang diungkapkan dalam bentuk koordinat Cartesius. Persamaan ini dikenal sebagai persamaan Schrodinger.</div>
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Dari persamaan Schrodinger ini dihasilkan tiga bilangan kuantum, yaitu bilangan kuantum utama (n), bilangan kuantum azimut( A ), dan bilangan kuantum magnetik(m). Ketiga bilangan kuantum ini merupakan bilangan bulat sederhana yang menunjukkan peluang adanya elektron di sekeliling inti atom. Penyelesaian persamaan Schrodinger menghasilkan tiga bilangan kuantum. Orbital diturunkan dari persamaan Schrodinger sehingga terdapat hubungan antara orbital dan ketiga bilangan kuantum tersebut. </div>
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<b><u>a. Bilangan Kuantum Utama (n) </u></b></div>
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Bilangan kuantum utama (n) memiliki nilai n = 1, 2, 3, ..., n.<i> Bilangan kuantum ini menyatakan tingkat energi utama elektron dan sebagai ukuran kebolehjadian ditemukannya elektron dari inti atom</i>. Jadi, bilangan kuantum utama serupa dengan tingkat-tingkat energi elektron atau orbit menurut teori atom Bohr. Bilangan kuantum utama merupakan fungsi jarak yang dihitung dari inti atom (sebagai titik nol). Jadi, semakin besar nilai n, semakin jauh jaraknya dari inti. </div>
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Oleh karena peluang menemukan elektron dinyatakan dengan orbital maka dapat dikatakan bahwa orbital berada dalam tingkat-tingkat energi sesuai dengan bilangan kuantum utama (n). Pada setiap tingkat energi terdapat </div>
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satu atau lebih bentuk orbital. Semua bentuk orbital ini membentuk kulit (shell). Kulit adalah kumpulan bentuk orbital dalam bilangan kuantum utama yang sama. </div>
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Kulit-kulit ini diberi lambang mulai dari K, L, M, N, ..., dan seterusnya. Hubungan bilangan kuantum utama dengan lambang kulit sebagai berikut.</div>
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<img alt="Hubungan bilangan kuantum utama dengan lambang kulit" border="0" height="56" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEigVCVzlfsl5x8KNObVxPOb8jO0pNLueOsHRijVTlnm94Jy8hLo0QiuKGSQ8flvDsFYM_qli-zhj6RPXce51Qx80WqZzwxqGzIjH6QL69mDqnTjLezpQiRKkpzFwBbxnfkgfyxqEgT3AYQ/s320/Hubungan+bilangan+kuantum+utama+dengan+lambang+kulit.png" title="Hubungan bilangan kuantum utama dengan lambang kulit" width="320" /></div>
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Jumlah orbital dalam setiap kulit sama dengan n<sup>2</sup> , n adalah bilangan kuantum utama.</div>
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<b><u>b. Bilangan Kuantum Azimut ( <i>l </i>) </u></b></div>
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Bilangan kuantum azimut disebut juga bilangan kuantum momentum sudut, dilambangkan dengan <i>l </i> . Bilangan kuantum azimut menentukan bentuk orbital. Nilai bilangan kuantum azimut adalah <i>l </i> = n–1. Oleh karena nilai n merupakan bilangan bulat dan terkecil sama dengan satu maka harga <i>l </i>juga merupakan deret bilangan bulat 0, 1, 2, ..., (n–1). Jadi, untuk n=1 hanya ada satu harga bilangan kuantum azimut, yaitu 0. Berarti, pada kulit K (n=1) hanya terdapat satu bentuk orbital. Untuk n=2 ada dua harga bilangan kuantum azimut, yaitu 0 dan 1. Artinya, pada kulit L (n=2) terdapat dua bentuk orbital, yaitu orbital yang memiliki nilai <i>l </i> =0 dan orbital yang memiliki nilai <i>l </i> =1.</div>
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Bentuk orbital dengan bilangan kuantum azimut sama dinamakan subkulit. Jadi, bilangan kuantum azimut dapat juga menunjukkan jumlah subkulit dalam setiap kulit. Masing-masing subkulit diberi lambang dengan s, p, d, f, ..., dan seterusnya. Hubungan subkulit dengan lambangnya adalah sebagai berikut.</div>
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<img alt="Hubungan subkulit dengan lambangnya" border="0" height="56" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgA1W9AiULKvTrRSN5WnqHgyR9QDFiyf24lEFdvHinslKKt2gV0E4-e1twCAAe2q23Ltuo0ad7rRVEf_hsFdV8P7dUNrVA_Mjg12eXhE_Rpg-I1V0kuT_GnHf92yoOp3wLS3inKtVnEo-8/s320/Hubungan+subkulit+dengan+lambangnya.png" title="Hubungan subkulit dengan lambangnya" width="320" /></div>
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<b><u>c. Bilangan Kuantum Magnetik (m) </u></b></div>
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Bilangan kuantum magnetik disebut juga bilangan kuantum orientasi sebab bilangan kuantum ini menunjukkan orientasi (arah orbital) dalam ruang atau orientasi subkulit dalam kulit. Nilai bilangan kuantum magnetik berupa deret bilangan bulat dari –m melalui nol sampai +m. Untuk <i>l</i>=1, nilai m=0, ±l. Jadi, nilai bilangan kuantum magnetik untuk <i>l</i>=1 adalah –l melalui 0 sampai +l.</div>
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Subkulit-s ( <i>l</i> =0) memiliki harga m=0, artinya subkulit-s hanya memiliki satu buah orbital. Oleh karena m=0, orbital-s tidak memiliki orientasi dalam ruang sehingga bentuk orbital-s dikukuhkan berupa bola yang simetris. </div>
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Subkulit-p ( <i>l</i> =1) memiliki nilai m= –1, 0, +1. Artinya, subkulit-p memiliki tiga buah orientasi dalam ruang (3 orbital), yaitu orientasi pada sumbu-x dinamakan orbital p<sub>x</sub>, orientasi pada sumbu-y dinamakan orbital p<sub>y</sub>, dan orientasi pada sumbu-z dinamakan orbital p<sub>z</sub>. </div>
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Subkulit-d ( <i>l</i> =2) memiliki harga m= –2, –1, 0, +1, +2. Artinya, subkulit-d memiliki lima buah orientasi dalam ruang (5 orbital), yaitu pada bidang-xy dinamakan orbital d<sub>xy</sub> , pada bidang-xz dinamakan orbital d<sub>xz </sub>, pada bidang-yz dinamakan orbital d <sub>yz</sub> , pada sumbu x<sup>2 </sup>– y<sup>2</sup>dinamakan orbital d <sub>x</sub>2 - <sub>y</sub>2 , dan orientasi pada sumbu z<sup> 2</sup> dinamakan orbital d<sub>z</sub> 2 . Contoh orientasi orbital dapat dilihat pada Gambar berikut.</div>
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<img alt="Orientasi orbital pada sumbu y koordinat Cartesius" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgDO_NI0IXTCr4HsW_j3oNoTvOSRLR867b3cHDWs-0JI9JzW9CBqwSBa9bu6MXxk8L1jG2u3fpD9WQujYt6ULEdzEm4B6obgrA_4-UB8l26wzZbLNIXz5JZHHIi1QoywAI5x8tpoWnpy1o/s400/Orientasi+orbital+pada+sumbu+y+koordinat+Cartesius.png" title="Orientasi orbital pada sumbu y koordinat Cartesius" /></div>
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Orientasi orbital pada sumbu y koordinat Cartesius.</div>
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<b><u>d. Bilangan Kuantum Spin (s) </u></b></div>
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Di samping bilangan kuantum n, A , dan m, masih terdapat satu bilangan kuantum lain. Bilangan kuantum ini dinamakan bilangan kuantum spin, dilambangkan dengan s. Bilangan kuantum ini ditemukan dari hasil pengamatan radiasi uap perak yang dilewatkan melalui medan magnet, oleh Otto Stern dan W. Gerlach. </div>
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Pada medan magnet, berkas cahaya dari uap atom perak terurai menjadi dua berkas. Satu berkas membelok ke kutub utara magnet dan satu berkas lagi ke kutub selatan magnet (perhatikan Gambar berikut). </div>
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<img alt="Penguraian berkas uap atom perak (percobaan Stern-Gerlach)" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhF7D3Dox6xaiUp9o_gYO8X7fYE2smPxTsMxFFb4ICmExrfcr16Wszie6z4WTHO30h1swXvd4CQyduROrKPrEt7iVMz8YCTxT9itAOYrF_Vw13HIfqunNJDK9Kle0b-mmBtqQGc-cZLfo8/s400/Penguraian+berkas+uap+atom+perak+%2528percobaan+Stern-Gerlach%2529.png" title="Penguraian berkas uap atom perak (percobaan Stern-Gerlach)" /></div>
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Penguraian berkas uap atom perak (percobaan Stern-Gerlach)</div>
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Berdasarkan pengamatan tersebut, disimpulkan bahwa atom-atom perak memiliki sifat magnet. Pengamatan terhadap atom-atom unsur lain, seperti atom Li, Na, Cu, dan Au selalu menghasilkan gejala yang serupa. Atom-atom tersebut memiliki jumlah elektron ganjil. Munculnya sifat magnet dari berkas uap atom disebabkan oleh spin atau putaran elektron pada porosnya. </div>
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Berdasarkan percobaan Stern-Gerlach, dapat disimpulkan bahwa ada dua macam spin elektron yang berlawanan arah dan saling meniadakan. Pada atom yang jumlah elektronnya ganjil, terdapat sebuah elektron yang spinnya tidak ada yang meniadakan. Akibatnya, atom tersebut memiliki medan magnet. </div>
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Spin elektron dinyatakan dengan bilangan kuantum spin. Bilangan kuantum ini memiliki dua harga yang berlawanan tanda, yaitu + 1/2 dan – 1/2 . Tanda (+) menunjukkan putaran searah jarum jam dan tanda (–) arah sebaliknya (perhatikan Gambar dibawah). Adapun harga, menyatakan fraksi elektron.</div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEju_s8-wivPvhr_BDUcAKmcICH5aBk1Jq1Xh3YolEGDbGyv9dxOgsE7Zowny169hsv6EpC7hTppajEFmvCulvGhykOUS-8VMuNeXQdFQMd_J7WNkfSwmw4wNZVFdAU4Kz7QVlZ4IpxvqPc/s1600/Spin+elektron+dengan+arah+berlawanan.png" imageanchor="1"><img alt="Spin elektron dengan arah berlawanan" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEju_s8-wivPvhr_BDUcAKmcICH5aBk1Jq1Xh3YolEGDbGyv9dxOgsE7Zowny169hsv6EpC7hTppajEFmvCulvGhykOUS-8VMuNeXQdFQMd_J7WNkfSwmw4wNZVFdAU4Kz7QVlZ4IpxvqPc/s400/Spin+elektron+dengan+arah+berlawanan.png" title="Spin elektron dengan arah berlawanan" /></a></div>
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Spin elektron dengan arah berlawanan.</div>
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Demikianlah materi Kimia tentang Teori Atom Mekanika Kuantum ini saya sampaikan, semoga bermanfaat.</div>
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gold.roger3425http://www.blogger.com/profile/11241720279056588223noreply@blogger.com0tag:blogger.com,1999:blog-6629470753799285607.post-79114638601679823502016-07-30T10:14:00.000-07:002017-10-15T00:02:47.499-07:00Teori Atom Bohr : 4 Postulat yang Mendasarinya beserta Kelemahannya<div dir="ltr" style="text-align: left;" trbidi="on">
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Teori Atom Bohr - <span style="line-height: 150%;">Sebagaimana telah Anda ketahui, teori atom Bohr didasarkan pada empat postulat sebagai berikut.</span></div>
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a. Elektron-elektron dalam mengelilingi inti atom berada pada tingkat- tingkat energi atau orbit tertentu. Tingkat-tingkat energi ini dilambangkan dengan n=1, n=2, n=3, dan seterusnya. Bilangan bulat ini dinamakan bilangan kuantum (perhatikan gambar dibawah!)</div>
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b. Selama elektron berada pada tingkat energi tertentu, misalnya n=1, energi elektron tetap. Artinya, tidak ada energi yang diemisikan (dipancarkan) maupun diserap. </div>
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c. Elektron dapat beralih dari satu tingkat energi ke tingkat energi lain disertai perubahan energi. Besarnya perubahan energi sesuai dengan persamaan Planck, <span style="font-family: "liberation" serif , serif;">∆</span>E=hv. </div>
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d. Tingkat energi elektron yang dibolehkan memiliki momentum sudut tertentu. Besar momentum sudut ini merupakan kelipatan dari <img height="38" hspace="8" name="Object1" src="data:image/png;base64,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" width="30" />atau <img height="38" hspace="8" name="Object2" src="data:image/png;base64,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" width="30" />, n adalah bilangan kuantum dan h tetapan Planck.</div>
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<img alt="Menurut Bohr, elektron berada pada tingkat energi tertentu. Jika elektron turun ke tingkat energi yang lebih rendah, akan disertai emisi cahaya dengan spketrum yang khas." border="0" height="287" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhQW8YjIX9YVjsF4Z7NEG5tuFbekRgLmG_hy4GwlYiGVM7mPWE8OarPi5gPSAr6S4LcaXCxVs1B9vVlHIWxt9YqMcgAoHZsrlevZ_aprecyzCoPoyIN6dlj5VteBVrnvJEYyAio6JQXl9o/s320/model+atom+bohr.png" title="Menurut Bohr, elektron berada pada tingkat energi tertentu. Jika elektron turun ke tingkat energi yang lebih rendah, akan disertai emisi cahaya dengan spketrum yang khas." width="320" /></div>
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Menurut Bohr, elektron berada pada tingkat energi tertentu. Jika elektron turun ke tingkat energi yang lebih rendah, akan disertai emisi cahaya dengan spketrum yang khas.</div>
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<b>a. Peralihan Antartingkat Energi </b></div>
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Model atom Bohr dapat menerangkan spektrum atom hidrogen secara memuaskan. Menurut Bohr, cahaya akan diserap atau diemisikan dengan frekuensi tertentu (sesuai persamaan Planck) melalui peralihan elektron dari satu tingkat energi ke tingkat energi yang lain. Jika atom hidrogen menyerap energi dalam bentuk cahaya maka elektron akan beralih ke tingkat energi yang lebih tinggi. Sebaliknya, jika atom hidrogen mengemisikan cahaya maka elektron akan beralih ke tingkat energi yang lebih rendah. </div>
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Pada keadaan stabil, atom hidrogen memiliki energi terendah, yakni elektron berada pada tingkat energi dasar (n=1). Jika elektron menghuni n>1, dinamakan keadaan tereksitasi. Keadaan tereksitasi ini tidak stabil dan terjadi jika atom hidrogen menyerap sejumlah energi. Atom hidrogen pada keadaan tereksitasi tidak stabil sehingga energi yang diserap akan diemisikan kembali menghasilkan garis-garis spektrum (perhatikan Gambar berikut!).</div>
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<img alt="Lampu hidrogen dialiri listrik hingga menyala. Cahaya dari nyala lampu dilewatkan kepada prisma melalui celah menghasilkan spektrum garis yang dapat dideteksi dengan pelat film" border="0" height="240" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhz3a4LSPmMDQtUc5EmVFWUKhEKHDtp72Lt6oeNGVRGYFs8hXB07-4u46j4draZBvE_hZTP9VApvHKpeE1SLTzgCepnmTUt4i95lPYeF1ju4u6Vwt9z-R-EpVR7XEhE2GGiWyuU6T1FxMY/s320/Lampu+hidrogen+dialiri+listrik+hingga+menyala.png" title="Lampu hidrogen dialiri listrik hingga menyala. Cahaya dari nyala lampu dilewatkan kepada prisma melalui celah menghasilkan spektrum garis yang dapat dideteksi dengan pelat film" width="320" /></div>
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Lampu hidrogen dialiri listrik hingga menyala. Cahaya dari nyala lampu dilewatkan kepada prisma melalui celah menghasilkan spektrum garis yang dapat dideteksi dengan pelat film.</div>
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Kemudian, elektron akan turun ke tingkat energi yang lebih rendah. Nilai energi yang diserap atau diemisikan dalam transisi elektron bergantung pada transisi antartingkat energi elektron. Persamaannya dirumuskan sebagai berikut.</div>
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<b>b. Kelemahan Model Atom Bohr </b></div>
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Gagasan Bohr tentang pergerakan elektron mengitari inti atom seperti sistem tata surya membuat teori atom Bohr mudah dipahami dan dapat diterima pada waktu itu. Akan tetapi, teori atom Bohr memiliki beberapa kelemahan, di antaranya sebagai berikut.</div>
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</div>
<ol>
<li><span style="line-height: 150%;">Jika atom ditempatkan dalam medan magnet maka akan terbentuk spektrum emisi yang rumit. Gejala ini disebut efek Zeeman (perhatikan Gambar dibawah).</span></li>
<li><span style="line-height: 150%;">Jika atom ditempatkan dalam medan listrik maka akan menghasilkan spektrum halus yang rumit. Gejala ini disebut efek Strack.</span></li>
</ol>
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<img alt="Spektrum atom hidrogen terurai dalam medan magnet (efek Zeeman)" border="0" height="283" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhuCty94xkXF-AXMJNhHn3h96ACpNTPjZmbwMEeEq0e-3LBmEB7W9UjSkNWXRstVNNyGTvn-EDMFKCoJ0-6yZ3O3f0fcLcZPuOubIB97Tg7eTL4fpumqtclKb-6gdKsPu7CP70atyNRKek/s320/Spektrum+atom+hidrogen+terurai+dalam+medan+magnet+%2528efek+Zeeman%2529..png" title="Spektrum atom hidrogen terurai dalam medan magnet (efek Zeeman)" width="320" /></div>
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Spektrum atom hidrogen terurai dalam medan magnet (efek Zeeman).</div>
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Pakar fisika Jerman, Sommerfeld menyarankan, disamping orbit berbentuk lingkaran juga harus mencakup orbit berbentuk elips. Hasilnya, efek Zeeman dapat dijelaskan dengan model tersebut, tetapi model atom Bohr-Sommerfeld tidak mampu menjelaskan spektrum dari atom berelektron banyak. </div>
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Sepuluh tahun setelah teori Bohr lahir, muncul gagasan de Broglie tentang dualisme materi, disusul Heisenberg tentang ketidakpastian posisi dan momentum partikel. Berdasarkan gagasan tersebut dan teori kuantum dari Planck, Schrodinger berhasil meletakkan dasar-dasar teori atom terkini, dinamakan teori atom mekanika kuantum.</div>
</div>
gold.roger3425http://www.blogger.com/profile/11241720279056588223noreply@blogger.com0tag:blogger.com,1999:blog-6629470753799285607.post-9295009527876471762016-07-29T10:10:00.000-07:002017-10-15T00:02:58.039-07:00Penjelasan tentang Gurun dan Jenisnya<div dir="ltr" style="text-align: left;" trbidi="on">
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<b><u>Penjelasan tentang Gurun dan Jenisnya</u></b> - <span style="line-height: 150%;">Jika kita membayangkan sebuah gurun, mungkin kita akan berpikir tentang panas, gersang, kering dan berpasir. Padahal tidak semua gurun panas, ada juga gurun yang sangat dingin pada musim dingin sampai 12 </span><sup style="line-height: 150%;">o</sup><span style="line-height: 150%;">C yaitu Gurun Gobi di wilayah</span></div>
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Asia.</div>
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<img alt="Penjelasan tentang Gurun dan Jenisnya" border="0" height="240" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhnJE7gLoRvis_enIfLu7tEaOzGiiE6GU5xYWh5YjCFPwdYoTNYzSf333M5IvU0pU7C0yDNCZTF6vbrvqxsSc5mxHIgbB1DHHqv1_LsV5BGSJTvXa2CKWAjtrnsA_15whJsgwxCGf-dPMI/s320/gurun.jpg" title="Penjelasan tentang Gurun dan Jenisnya" width="320" /></div>
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Ilustrasi: Gurun</div>
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1. Terbentuknya Gurun </h4>
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Sebagian besar gurun terletak di kedua sisi Khatulistiwa, di daerah yang dikenal sebagai daerah tropis. Udara hangat mengalir dari Khatulistiwa ke daerah Tropis, udara akan naik dan mendingin. Saat dingin, udara melepaskan kelembabannya berupa hujan. Pada saat mencapai daerah Tropis, udara mulai turun ke arah tanah dan memanas lagi. Udara hangat ini menyerap semua kelembaban dari tanah di bawahnya, sehingga menjadi kering dan terjadilah Gurun kering. Selain itu, kebanyakan, pembentukan permukaan gurun disebabkan oleh air. Hujan yang turun di daerah gurun biasanya sangat deras, sehingga tanah yang kering dan keras tidak bisa menyerap air. Air tersebut akhirnya terus mengalir deras menuruni </div>
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lereng, menjadi banjir. Air tersebut memahat lereng lembah curam yang dikenal dengan nama "Wadis". Batu-batuan raksasa dan batu kali hanyut dari lembah ke dataran gurun. Batuan yang berada dipermukaan gurun terkena panas di siang hari dan malam hari menjadi dingin. Pemanasan dan pendinginan ini lama kelamaan akan merapuhkan batu dan akhirnya pecah menjadi pasir-pasir.</div>
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2. Jenis-jenis Gurun</h4>
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<span style="line-height: 150%;">Jenis Gurun ada dua yaitu :</span></div>
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a. Gurun Panas </div>
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b. Gurun Dingin</div>
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<b>a. Gurun Panas </b></div>
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Gurun Sahara yang terletak di Afrika, merupakan gurun yang paling besar dan terpanas di dunia. Suhunya bisa mencapai 58 <sup>o</sup>C. Terbentang melintasi bagian utara Afrika dari Samudera Atantik di barat sampai laut Merah di timur. Gurun Sahara menutupi daerah seluas 9 juta km<sup>2</sup>. Ketika Jaman Es berakhir, kira-kira 10.000 tahun yang lalu, Gurun Sahara memiliki iklim yang basah dan daerahnya ditutupi dengan padang rumput dan hutan. Sekitar 6.000 tahun yang lalu, iklim di Afrika menjadi kering maka perlahan terbentuk Gurun Sahara. </div>
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Keadaan tanah Sahara sangat bervariasi. Ditengah- tengahnya, pegunungan "Ahaggar" menjulang tinggi. Di sebelah timur laut, terbentang dataran tinggi berbatu yang dikenal dengan nama "Tassili". Di sebelah utara dan barat Sahara, ada lautan pasir luas yang disebut "Erg". Di gurun Sahara terdapat daerah-daerah yang subur yang dikenal dengan nama "Oasis". Oasis terbentuk di daerah di mana adanya sungai permanen. Saat ini diketahui Gurun Sahara memiliki sekitar 90 Oasis besar.</div>
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<b>b. Gurun Dingin </b></div>
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Berada di daerah kutub dan di pegunungan yang tanahnya membeku, kalaupun ada air, hanya sedikit sekali. Antartika adalah daerah terdingin dan penuh dengan es. Lapisan es raksasa setebal 2.200 m, menutupi 98% benua ini. Kebanyakan benua ini adalah gurun kutub.</div>
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Kurang dari 5 cm hujan turun setiap tahun dalam bentuk salju dan kristal es. Suhu udaranya jarang mencapai 0 <sup>o</sup>C. Kadang-kadang bisa mencapai -89 <sup>o</sup>C. Di daerah sedingin Antartika, masih ada tumbuhan kecil yang dapat hidup di daerah tersebut. Tumbuhan itu adalah alga yang tumbuh di es dan salju.</div>
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gold.roger3425http://www.blogger.com/profile/11241720279056588223noreply@blogger.com0tag:blogger.com,1999:blog-6629470753799285607.post-58149681678231293362016-07-29T10:04:00.000-07:002017-10-15T00:03:07.815-07:00Pengertian Peta, Unsur-unsur, Persyaratan dan Jenis-jenisnya<div dir="ltr" style="text-align: left;" trbidi="on">
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<span style="line-height: 150%;">A. Pengertian Peta</span></h4>
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Peta adalah gambaran konvensinal permukaan bumi yang dilihat dari atas, diperkecil dengan skala serta dilengkapi dengan symbol dan warna. Konvensional disini diartikan sebagai suatu kesepakatan bersama. </div>
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<br />B. Unsur-unsur Peta </h4>
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<b>1. Judul</b></div>
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Judul peta merupakan hal yang memuat isi dan tipe dari peta yang bersangkutan. </div>
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<b>2. Skala</b></div>
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Skala adalah perbandingan jarak di peta dengan jarak sebenarnya di lapangan. skala peta dibagi menjadi 3 macam, yatu:</div>
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a. Skala numeric (angka), yaitu skala yang dinyatakan dengan angka. Contoh: skala 1:250.000 (= berarti 1 centimeter di peta mewakili 250.000 centimeter di lapangan; berarti 1 centi meter di peta mewakili 2,5 km di lapangan </div>
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1: 250.000 = 1 cm : 250.000 cm</div>
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1 cm = 250.000 cm</div>
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<img height="38" hspace="8" name="Object1" src="data:image/png;base64,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" width="134" /></div>
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1cm =2,5 km</div>
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b. Skala Grafik (garis), yaitu skala yang dinyatakan dengan garis. </div>
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Contoh:</div>
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<img alt="Contoh Skala Grafik (garis) pada peta" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhdpcZRhfE1K0xXKxtL2NjJ7Wo1gCKtc_XfkLXL2dfezMUEX7H4fcN1ObBTXPJ90lKHCugdOvIUOcpeRix3Iv9AXcgh0zfEl9bVDmC-rgL59ejjapYZzZE8QkeDnfRXen_jXWiOdPHDBdY/s400/Contoh+Skala+Grafik+%2528garis%2529+pada+peta.png" title="Contoh Skala Grafik (garis) pada peta" /></div>
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<b>3. Inzet Peta</b></div>
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Yaitu peta yang menjelaskan atau menerangkan lokasi serta kedudukan yang lebih luas dari peta induk. </div>
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<b>4. Simbol</b></div>
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Yaitu tanda-tanda konvensional yang digunakan untuk mewakili keadaan yang sebenarnya. </div>
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<b>5. Warna peta</b></div>
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Warna peta mencirikan suatu keadaan yang sebenarnya, misalnya: laut berwarna biru, hutan berwarna hiajau, dan sebagainya) .</div>
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<b>6. Garis astronomis</b></div>
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Garis astronomis adalah garis semu bumi, dibagi menjadi 2, yaitu:</div>
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a. Garis Lintang, yaitu garis semu bumi yang arahnya mendatar atau horizontal. Garis lintang bumi yang nilainya adalah 0<sup>o</sup>disebut dengan garis khatulistiwa atau equator. </div>
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b. Garis bujur, yaitu garis semu bumi yang arahnya tegak lurus dengan garis lintang dan menghubungkan antara kutub utara dan selatan bumi. Garis bujur bernilai 0<sup>o</sup> terletak pada Kota Grenwich (Inggris) yang merupakan patokan dari </div>
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pembagian waktu bumi (GMT).</div>
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<b>7. Petunjuk atau Orientasi arah</b></div>
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Arah mata angin sangat berguna dalam memahami peta, seperti membedakan arah utara, selatan, timur dan barat. Arah utara peta (0<sup>o</sup>) ditunjukkan pada bagian atas peta.</div>
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<img alt="Pengertian Peta, Unsur-unsur, Persyaratan dan Jenis-jenisnya" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiMjkPHJfx0Z6Tlnrt77UlC-7goeLd0Qvj5dOqEq9HGAtNRoCH0llDmbzmNLU680qUDUbyKflHQ7oZMv8BxNefTP4N2M1h0N6UCV-zs83KBwDI-2r0ukiUaAFDyYNxyCxIiSdUmuYLc0x0/s400/Penunjuk+atau+Orientasi+Arah+mata+Angin.png" title="" /></div>
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<b>8. Legenda</b></div>
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Legenda adalah keterangan dari symbol-simbol agar mudah dibaca. Di dalam legenda terdapat arti dari symbol maupun warna yang digunakan dalam peta tersebut. </div>
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<b>9. Sumber Peta</b></div>
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Pembuat Peta dan Tahun Pembuatan, Sumber peta dicantumkan agar pembaca peta tahu darimana peta tersebut diperoleh ataupun pembuatnya, dan juga kapan peta itu diterbitkan.</div>
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C. Persyaratan Peta </h4>
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Peta yang baik harus memenuhi persyaratan sebagai berikut ini, yaitu: </div>
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1. Conform, yaitu peta yang digambar harus sesuai dengan bentuk asli dan kenampakan yang ada di lapangan. </div>
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2. Equivalent, yaitu bidang yang digambar dipeta harus sesuai luasnya dengan apa yang ada di lapangan. </div>
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3. Equidistant, yaitu jarak garis yang ada di peta harus sesuai dengan jarak sebenarnya di lapangan.</div>
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D. Jenis-jenis Peta </h4>
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<b><u>1. Berdasarkan skalanya</u></b>, peta dibagi menjadi: </div>
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a. Peta Kadaster, yaitu peta dengan skala 1: 100 s/d 1: 5.000 </div>
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b. Peta skala besar, yaitu peta dengan skala 1: 5.000 s/d 1: 250.000 </div>
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c. Peta skala sedang, yaitu peta dengan skala 1: 250.000 s/d 1: 500.000 </div>
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d. Peta skala kecil, yaitu peta dengan skala 1: 500.000 s/d 1: 1.000.000 </div>
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e. Peta geografis, yaitu peta dengan skala lebih besar dari 1: 1.000.000</div>
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<b><u>2. Berdasarkan data yang ditonjolkanny</u></b>a, peta dibagi menjadi: </div>
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a. Peta Umum adalah peta yang menggambarkan segala sesuatu secara umum.</div>
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<li><div align="justify" style="line-height: 150%; margin-bottom: 0in;">
Peta Topografi adalah peta yang menggambarkan relief/ bentuk permukaan bumi serta kenampakannya (baik alam maupun buatan) juga dengan garis kontur. Garis kontur adalah garis yang menghubungkan titik-titik dengan ketinggian yang sama.</div>
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Peta Chorografi, yaitu peta umum yang berskala sedang sampai kecil, contohnya: peta kecamatan, kabupaten.</div>
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Peta dunia, yaitu peta umum yang menggambarkan kenampakan dunia. Peta ini menggunakan skala 1: 1.000.000 ke atas.</div>
</li>
</ul>
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b. Peta Khusus/ tematik adalah peta yang menggambarkan sesuatu secara khusus, seperti: Peta penggunaan lahan, Peta iklim, Peta kepadatan penduduk dan sebagainya.</div>
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<b><u>3. Berdasarkan Obyeknya</u></b>, peta dibagi menjadi: </div>
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a. Peta dinamik, yaitu peta yang menggambarkan keadaan obyek secara labil, contohnya: peta perkembangan pemukiman, peta transmigrasi. </div>
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b. Peta stationer, yaitu peta yang menggambarkan keadaan obyek yang relatif tetap, contohnya peta geologi, peta wilayah.</div>
</div>
gold.roger3425http://www.blogger.com/profile/11241720279056588223noreply@blogger.com0tag:blogger.com,1999:blog-6629470753799285607.post-31565918159315512972016-07-29T10:01:00.000-07:002017-10-15T00:03:17.006-07:00Pengertian Pengindraan Jauh, Cara Kerja dan Manfaatnya<div dir="ltr" style="text-align: left;" trbidi="on">
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<span style="line-height: 150%;"><b>A. Pengertian dan Cara kerja</b></span></div>
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<b>Penginderaan Jauh</b> adalah cara untuk memperoleh data atau informasi tentang suatu obyek, tanpa melakukan kontak langsung dengan obyek tersebut.</div>
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Sinar matahari yang mencapai ke permukaan bumi dan mengenai suatu obyek, dipantulkan dan direkam oleh sensor; selain itu setiap benda yang mempunyai suhu diatas 0<sup>o</sup> Kelvin (-275 <sup>o</sup>C) memancarkan tenaga termal yang kemudian direkam oleh sensor termal. Tenaga pantulan dan tenaga pancaran tersebut jika terekam oleh sensor, maka akan membuahkan data penginderaan jauh yang berupa data digital dan citra. </div>
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<img alt="Pengertian Pengindraan Jauh, Cara Kerja dan Manfaatnya" border="0" height="165" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjIbli7YLrJ1H1cr5D5W1xtXTTmGkdtJd8d14a1lJZxs1k5PB9An2Wobie6mdV3h9wv7Q5-cj2HuIQy7Yh-AI_C8OIGV-NuFWLmIAKlgFKwFYohxAWLwmaVzqCaaXfbmUeEbqzN5T9T38o/s400/Pengertian+Pengindraan+Jauh%252C+Cara+Kerja+dan+Manfaatnya.png" title="Pengertian Pengindraan Jauh, Cara Kerja dan Manfaatnya" width="400" /></div>
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<br /></div>
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<b>Citra </b>adalah gambaran obyek di permukaan bumi yang direkam oleh alat pemantau (sensor). Data tersebut lalu diinterpretasikan dan diolah sesuai dengan kehendak dan keperluan dari users (pengguna data). Wahana (alat perekaman sensor) yang digunakan dapat berupa: Balon udara, pesawat terbang atau satelit.</div>
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<b>B. Interpretasi Citra </b></div>
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Interpretasi citra adalah suatu kegiatan mengidentifikasi, mengolah dan menganalisis citra. Interpretasi citra dapat berupa: </div>
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1. Analisis monokuler, adalah interpretasi citra hanya menggunakan mata telanjang, meja sinar dan kaca pembesar (lup). </div>
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2. Analisis stereoskopik, adalah analisis menggunakan alat stereoskop, yaitu alat untuk menampilkan citra agar kelihatan 3 dimensi. Macam stereoskop : stereoskop saku dan stereoskop cermin (stereoskop meja). </div>
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3. Analisis digital, yaitu interpretasi citra dengan menggunakan computer. </div>
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<b><u>Unsur- unsur Interpretasi citra</u></b> adalah:</div>
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1. Skala </div>
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2. Bentuk </div>
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3. Ukuran</div>
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4. Pola </div>
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5. Rona/ warna adalah tingkat kegelapan atau kecerahan suatu obyek. </div>
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6. Bayangan </div>
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7. Situs/ letak adalah letak dari suatu obyek ke obyek yang lain. </div>
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8. Tekstur adalah frekwensi perubahan rona. </div>
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9. Asosiasi adalah hubungan antara obyek satu dengan yang lainnya. </div>
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Dalam interpretasi citra diperlukan adanya konvergensi data, yaitu penggabungan antara unsur-unsur interpretasi yang satu dengan yang lainnya.</div>
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<b>C. Manfaat Penginderaan Jauh </b></div>
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Untuk memantau obyek di bumi, sekarang sudah berkembang pengambilan data melalui satelit-satelit. </div>
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1. GEMINI (1968), Satelit yang pertama kali dilengkapi dengan sensor pemotretan yang kemudian banyak membuat foto muka bumi dan dimanfaatkan untuk eksploitasi migas di Timur tengah dan Afrika. </div>
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2. EARTS (Earth Resources Technological Satellite) digunakan untuk pengamatan sumberdaya alam. </div>
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3. LANDSAT (Land Satellite) digunakan untuk pengamatan permukaan bumi dan sumberdaya alamnya. </div>
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4. NIMBUS (Weather Satellite), satelit pengamatan untuk keadaan awan di atmosfer bumi, digunakan untuk pemantauan cuaca. </div>
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5. TIROS (Television Infrared Observation Satellite), digunakan untuk mengamati awan di sekeliling bumi dan pemantauan cuaca. </div>
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6. ESSA (Environment Survey Satellite), digunakan untuk mengamati awan di sekeliling bumi dan pemantauan cuaca. </div>
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7. TELLSTAR dan PALLAPA, satelit untuk keperluan komunikasi.</div>
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<b><u>Manfaat dari Penginderaan jauh</u></b> adalah: </div>
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1. Memperkirakan hasil pangan </div>
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2. Pemantauan tataguna lahan </div>
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3. Pengamatan sifat fisik air laut </div>
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4. Memperkiraan cuaca </div>
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5. Memprediksi dan mengamati bencana alam (Banjir dan Tanah longsor) </div>
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6. Mengetahui struktur batuan (geologi) suatu tempat </div>
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7. DLL</div>
</div>
gold.roger3425http://www.blogger.com/profile/11241720279056588223noreply@blogger.com0tag:blogger.com,1999:blog-6629470753799285607.post-81019953384206408362016-07-08T15:38:00.000-07:002017-10-15T00:03:33.870-07:00Hukum Dasar Fluida Statis<div dir="ltr" style="text-align: left;" trbidi="on">
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<b><u>Hukum Dasar Fluida Statis</u></b> - <span style="line-height: 150%;">Hukum-hukum dasar tentang fluida statis yang akan kita bahas adalah Hukum Hidrostatika, Hukum Pascal, dan Hukum Archimedes .</span></div>
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<b>1. Hukum Pokok Hidrostatika</b></div>
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Telah diketahui sebelumnya bahwa tekanan yang dilakukan oleh zat cair besarnya tergantung pada kedalamannya, P = <i> </i><span style="font-family: "times new roman" , serif;"><i>ρ </i></span>.g.h . Hal ini menunjukkan bahwa titik-titik yang berada pada kedalaman yang sama mengalami tekanan hidrostatik yang sama pula. Fenomena ini dikenal dengan Hukum Hidrostatika yang dinyatakan: </div>
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Tekanan hidrostatik di semua titik yang terletak pada satu bidang mendatar di dalam satu jenis zat cair besarnya sama. </div>
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<br /></div>
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Perhatikan Gambar berikut. </div>
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<img alt="Hukum Dasar Fluida Statis" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiTZuE4OoIRX0I06AFv9fOTB6nCt_00Cvqg7T4ziV_jlo_p5xdjjJUhCXvB8efh0qYRV6BQRufUshxBnD6XsOI9tNxb-Q6lSgMDY2rBp4SQKgmE_CRGGxxBHKlRtHtGhGm4ohm_nx9YsI8/s400/Tekanan+hidrostatik+di+titik+A%252C+B%252C+dan+C+adalah+sama.png" title="Hukum Dasar Fluida Statis" /></div>
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Tekanan hidrostatik di titik A, B, dan C adalah sama.</div>
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<br /></div>
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Berdasarkan Hukum Pokok Hidrostatika, maka tekanan di titik A, B, dan C besarnya sama.</div>
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<br /></div>
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<i>P <sub><span style="font-weight: normal;">A </span></sub>= P <sub><span style="font-weight: normal;">B</span></sub>= P <sub><span style="font-weight: normal;">C </span></sub>= <span style="font-family: "times new roman" , serif;">ρ</span>.g.h </i></div>
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Hukum Pokok Hidrostatika dapat digunakan untuk menentukan massa jenis zat cair dengan menggunakan pipa U, seperti yang terlihat pada gambar berikut.</div>
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<img alt="Pipa U untuk menentukan massa jenis zat cair" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEghpOsGDMI93SWnzGDHYM04dV_vWr8oZ_-tGu68NE4uqOCerlGKltWpVum4B7W9wP8tg-irm6Mo4SXkUu7aSBI_VAfbiLZFzrklR9a_lgxXM4gtGQTgNxOJ9Lq8Zsed0fiKlS5XUs5eV3A/s400/Pipa+U+untuk+menentukan+massa+jenis+zat+cair.png" title="Pipa U untuk menentukan massa jenis zat cair" /></div>
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Pipa U untuk menentukan massa jenis zat cair.</div>
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Zat cair yang sudah diketahui massa jenisnya (<i> </i><span style="font-family: "times new roman" , serif;"><i>ρ</i></span><sub>2</sub>) dimasukkan dalam pipa U, kemudian zat cair yang akan dicari massa jenisnya ( <i> </i><span style="font-family: "times new roman" , serif;"><i>ρ</i></span><sub>1</sub>) dituangkan pada kaki yang lain setinggi h<sub>1</sub>. Adapun h<sub>2</sub>adalah tinggi zat cair mula-mula, diukur dari garis batas kedua zat cair. Berdasarkan Hukum Pokok Hidrostatika, maka: </div>
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P <sub>A</sub>= P <sub>B</sub> </div>
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<span style="font-family: "times new roman" , serif;"><i>ρ</i></span><sub>1</sub>. g . h<sub>1</sub> = <i> </i><span style="font-family: "times new roman" , serif;"><i>ρ</i></span><sub>2</sub>. g . h<sub>2</sub> </div>
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<span style="font-family: "times new roman" , serif;"><i>ρ</i></span><sub>1 </sub>.h<sub>1 </sub>= <i> </i><span style="font-family: "times new roman" , serif;"><i>ρ</i></span><sub>2 </sub>.h<sub>2</sub></div>
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(1.0)</div>
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Hidrostatika dimanfaatkan antara lain dalam mendesain bendungan, yaitu semakin ke bawah semakin tebal; serta dalam pemasangan infus, ketinggian diatur sedemikian rupa sehingga tekanan zat cair pada infus lebih besar daripada tekanan darah dalam tubuh.</div>
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<b>2. Hukum Pascal </b></div>
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Apabila kita memompa sebuah ban sepeda, ternyata ban akan menggelembung secara merata. Hal ini menunjukkan bahwa tekanan yang kita berikan melalui pompa akan diteruskan secara merata ke dalam fluida (gas) di dalam ban. Selain tekanan oleh beratnya sendiri, pada suatu zat cair (fluida) yang berada di dalam ruang tertutup dapat diberikan tekanan oleh gaya luar. Jika tekanan udara luar pada permukaan zat cair berubah, maka tekanan pada setiap titik di dalam zat cair akan mendapat tambahan tekanan dalam jumlah yang sama. Peristiwa ini pertama kali dinyatakan oleh seorang ilmuwan Prancis bernama Blaise Pascal (1623 - 1662) dan disebut Hukum Pascal. Jadi, dalam Hukum Pascal dinyatakan berikut ini. </div>
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<br /></div>
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“Tekanan yang diberikan pada zat cair dalam ruang tertutup akan diteruskan ke segala arah dengan sama besar”. </div>
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<br /></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
Berdasarkan Hukum Pascal diperoleh prinsip bahwa dengan memberikan gaya yang kecil akan dihasilkan gaya yang lebih besar. Prinsip ini dimanfaatkan dalam pesawat hidrolik. Gambar berikut menunjukkan sebuah bejana tertutup berisi air yang dilengkapi dua buah pengisap yang luas penampangnya berbeda. </div>
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<br /></div>
<div align="center" style="line-height: 150%; margin-bottom: 0in;">
<img alt="Pesawat hidrolik berdasarkan Hukum Pascal" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhzaW-OpF-KlZifht6tinHSNKaZk5ZqXysKg0-8iGUJ6N2PmPnuLt59r9cz8h8bZvOov-rkTKZ05FDSWRIqbfFjUGQ9b9nUh-P3SPpiAKVlXEAifT1nJGTj1g8rl6zzkWwaT850vPbYMUo/s400/Pesawat+hidrolik+berdasarkan+Hukum+Pascal.png" title="Pesawat hidrolik berdasarkan Hukum Pascal" /></div>
<div align="center" style="line-height: 150%; margin-bottom: 0in;">
Pesawat hidrolik berdasarkan Hukum Pascal.</div>
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<br /></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
Jika pengisap kecil dengan luas penampang A<sub>1</sub> ditekan dengan gaya F<sub>1</sub>, maka zat cair dalam bejana mengalami tekanan yang besarnya:</div>
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<br /></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<img height="43" hspace="8" name="Object7" src="data:image/png;base64,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" width="57" /></div>
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(1.2)</div>
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Berdasarkan Hukum Pascal, tekanan yang diberikan akan diteruskan ke segala arah sama besar, sehingga pada pengisap besar dihasilkan gaya F<sub>2</sub>ke atas yang besarnya:</div>
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<br /></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<img height="43" hspace="8" name="Object1" src="data:image/png;base64,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" width="159" /></div>
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<br /></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
karena P<sub>1 </sub>= P<sub>2</sub>, maka:</div>
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<br /></div>
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<img height="43" hspace="8" name="Object2" src="data:image/png;base64,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" width="61" /></div>
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(1.3)</div>
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dengan:</div>
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F<sub>1 </sub>= gaya yang dikerjakan pada perngisap 1 (N)</div>
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F<sub>2</sub>= gaya yang dikerjakan pada penghisap 2 (N)</div>
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A<sub>1</sub>= luas penghisap 1 (m<sup>2</sup>)</div>
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A<sub>2</sub>= luas perghisap 2 (m<sup>2</sup>)</div>
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<br /></div>
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Untuk pengisap berbentuk silinder, maka:</div>
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<br /></div>
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<img height="38" hspace="8" name="Object3" src="data:image/png;base64,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" width="77" /></div>
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<br /></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
dan</div>
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<br /></div>
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<img height="38" hspace="8" name="Object4" src="data:image/png;base64,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" width="77" /></div>
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<br /></div>
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Sehingga persamaan (1.4) dapat dituliskan:</div>
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<br /></div>
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<img height="60" hspace="8" name="Object5" src="data:image/png;base64,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" width="94" /></div>
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<br /></div>
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<img height="45" hspace="8" name="Object6" src="data:image/png;base64,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" width="60" /></div>
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(1.4)</div>
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Alat-alat bantu manusia yang prinsip kerjanya berdasarkan Hukum Pascal adalah dongkrak hidrolik, pompa hidrolik, mesin hidrolik pengangkat mobil, mesin penggerak hidrolik, dan rem hidrolik pada mobil.</div>
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<br /></div>
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<b>3. Hukum Archimedes </b></div>
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Hukum Archimedes mempelajari tentang gaya ke atas yang dialami oleh benda apabila berada dalam fluida. Benda-benda yang dimasukkan pada fluida seakan-akan mempunyai berat yang lebih kecil daripada saat berada di luar fluida. Misalnya, batu terasa lebih ringan ketika berada di dalam air dibandingkan ketika berada di udara. Berat di dalam air sesungguhnya tetap, tetapi air melakukan gaya yang arahnya ke atas. Hal ini menyebabkan berat batu akan berkurang, sehingga batu terasa lebih ringan. Berdasarkan peristiwa di atas dapat disimpulkan bahwa berat benda di dalam air besarnya:</div>
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<br /></div>
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w<sub>air </sub>= w <sub>udara –</sub> F<sub>A</sub></div>
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(1.5)</div>
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dengan:</div>
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w<sub>air </sub>= berat benda di dalam air (N) </div>
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w<sub>udara </sub>= berat benda di udara (N) </div>
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F<sub>A</sub>= gaya tekan ke atas (N)</div>
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<br /></div>
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Besarnya gaya tekan ke atas dapat ditentukan dengan konsep tekanan hidrostatik. Gambar berikut menunjukkan sebuah silinder dengan tinggi h yang luasnya A. </div>
<div style="line-height: 150%; margin-bottom: 0in; text-align: center;">
<img alt="Hukum Dasar Fluida Statis" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiN-FlNLFb5g3iNGNc_Mb0aDP9MmU3zLPgppv_t2JJxUiZz5EXS9Yd24D241lwCrQanROLIp0bvaHMDrTH0mpP4MQLgRqAU28Ypbo_vJ09cxOFuh2vuVP1QA5HU9WAPcGci_rVDMhyLrfo/s400/Gaya+ke+atas+oleh+fluida.png" title="Hukum Dasar Fluida Statis" /></div>
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Gaya ke atas oleh fluida.</div>
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<br /></div>
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Ujung atas dan bawahnya, dicelupkan ke dalam fluida yang massa jenisnya <i></i><span style="font-family: "times new roman" , serif;"><i>ρ</i></span>. </div>
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<br /></div>
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Besarnya tekanan hidrostatik yang dialami permukaan atas dan bawah silinder adalah:</div>
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P<sub>1 </sub>= <span style="font-family: "times new roman" , serif;"><i>ρ</i></span> .g.h<sub>1 </sub></div>
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P<sub>2</sub>= <span style="font-family: "times new roman" , serif;"><i>ρ</i></span> .g.h<sub>2</sub></div>
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<br /></div>
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Sehingga besarnya gaya-gaya yang bekerja:</div>
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F = P.A </div>
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F<sub>1 </sub>= <span style="font-family: "times new roman" , serif;"><i>ρ</i></span> .g.h<sub>1</sub>.A (ke bawah) </div>
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F<sub>2 </sub>= <span style="font-family: "times new roman" , serif;"><i>ρ</i></span> .g.h<sub>2</sub>.A (ke atas)</div>
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Gaya total yang disebabkan oleh tekanan fluida merupakan gaya apung atau gaya tekan ke atas yang besarnya:</div>
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<br /></div>
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F<sub>A</sub>= F<sub>2</sub> – F<sub>1</sub> = <span style="font-family: "times new roman" , serif;"><i>ρ </i></span>.g.h<sub>2</sub> .A – <span style="font-family: "times new roman" , serif;"><i>ρ</i></span>.g.h<sub>1 </sub>.A = <span style="font-family: "times new roman" , serif;"><i>ρ </i></span>.g.(h <sub>2 </sub>– h<sub> 1</sub>).A</div>
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<br /></div>
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karena h<sub>2</sub> – h<sub>1</sub> = h, maka:</div>
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F<sub>A</sub>= <span style="font-family: "times new roman" , serif;"><i>ρ </i></span> .g.h.A</div>
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A.h adalah volume benda yang tercelup, sehingga:</div>
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F A = <span style="font-family: "times new roman" , serif;"><i>ρ </i></span>.g.V</div>
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<br /></div>
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dengan: </div>
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F<sub>A </sub>= gaya ke atas atau Archimedes (N) </div>
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<span style="font-family: "times new roman" , serif;"><i>ρ </i></span>= massa jenis fluida (kg/m<sup>3</sup>) </div>
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g = percepatan gravitasi (m/s<sup>2</sup>) </div>
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V = volume benda yang tercelup (m<sup>3</sup>)</div>
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<br /></div>
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Gaya total <span style="font-family: "times new roman" , serif;"><i>ρ</i></span> g.V = m.g adalah berat fluida yang dipindahkan. Dengan demikian, gaya tekan ke atas pada benda sama dengan berat fluida yang dipindahkan oleh benda. Pernyataan ini pertama kali dikemukakan oleh Archimedes (287 - 212 SM), yang dikenal dengan Hukum Archimedes, yang berbunyi: </div>
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<br /></div>
<br />
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<i>“Sebuah benda yang tercelup sebagian atau seluruhnya di dalam fluida mengalami gaya ke atas yang besarnya sama dengan berat fluida yang dipindahkan”</i>.</div>
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<br /></div>
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Demikianlah materi tentang Hukum dasar Fluida statis ini saya sampaikan, semoga bermanfaat.</div>
</div>
gold.roger3425http://www.blogger.com/profile/11241720279056588223noreply@blogger.com0tag:blogger.com,1999:blog-6629470753799285607.post-41367957740671121052016-06-09T11:46:00.000-07:002017-10-15T00:03:43.134-07:00Soal Pembahasan Suhu dan Kalor – Fisika Dasar<div dir="ltr" style="text-align: left;" trbidi="on">
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Jawablah Soal tentang Suhu dan Kalor berikut ini dengan baik dan benar!</div>
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1. Suhu udara di ruangan 95<sup>o</sup> F. Nyatakan suhu tersebut ke dalam skala Kelvin! </div>
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Penyelesaian: </div>
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95<sup>o</sup>F = 5/9 (9 5 − 3 2 ) = 35<sup>o </sup>C </div>
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35<sup>o </sup>C = (35 + 273) K = 308 K</div>
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<br /></div>
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2. Sebatang besi dengan panjang 4 m dan lebar 20 cm bersuhu 20 <sup>o</sup>C. Jika besi tersebut dipanaskan hingga mencapai 40 <sup>o</sup>C, berapakah luas kaca setelah dipanaskan? ( α = 12 × 10 -6 / <sup>o</sup>C) </div>
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Penyelesaian: </div>
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Diketahui: </div>
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A<sub>0</sub>= 4 × 0,2 = 0,8 m <sup>2 </sup></div>
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Δ T = (40 – 20) <sup>o </sup>C = 20 <sup>o</sup>C </div>
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α = 12 × 10 -6 / <sup>o </sup>C → β = 24 × 10 -6 / <sup>o</sup>C </div>
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Ditanya: A = ... ? </div>
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Jawab: </div>
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Δ A = β .A<sub>0</sub> . Δ T = (24 × 10 <sup>-6 </sup>)(0,8)(20) = 384 × 10 <sup>-6 </sup>m <sup>2</sup> = 0,384 × 10 <sup>-3 </sup>m <sup>2 </sup></div>
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A = (800 × 10 <sup>-3 </sup>) + (0,384 × 10 <sup>-3 </sup>) = 800,384 × 10 <sup>-3</sup> m <sup>2</sup> = 0,800384 m <sup>2</sup></div>
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<br /></div>
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3. Gas dalam ruang tertutup dengan volume 5 liter bersuhu 37 <sup>o</sup>C pada tekanan 3 atm. Jika gas tersebut dipanaskan sampai 52 <sup>o</sup>C, volumenya menjadi 6,5 liter. Berapakah perubahan tekanannya? </div>
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Penyelesaian: </div>
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<br /></div>
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Diketahui: </div>
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V<sub>1 </sub>= 5 liter </div>
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V<sub>2</sub> = 6,5 liter </div>
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T<sub>1 </sub>= 37 <sup>o</sup> C </div>
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T <sub>2 </sub>= 52 <sup>o</sup> C </div>
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P <sub>1 </sub>= 3 atm </div>
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Ditanya: Δ P = ... ? </div>
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Jawab:</div>
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<br /></div>
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ΔP = 3 – 2,4 = 0,6 atm</div>
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<br /></div>
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4. Air sebanyak 3 kg bersuhu 10 <sup>o</sup> C dipanaskan hingga bersuhu 35 <sup>o </sup>C. Jika kalor jenis air 4.186 J/kg <sup>o</sup> C, tentukan kalor yang diserap air tersebut! </div>
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Penyelesaian: </div>
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Diketahui: </div>
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m = 3 kg</div>
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c = 4.186 J/kg <sup>o</sup> C, </div>
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Δ t = (35 – 10)<sup> o </sup>C = 25 <sup>o </sup>C </div>
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Ditanya: </div>
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Q = ... ? </div>
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Jawab: </div>
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Q = m.c. Δ t = 3 kg × 4.186 J/kg<sup> o</sup> C × 25 <sup>o </sup>C = 313.950 J</div>
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5. Jika teh 200 cm <sup>3</sup> pada suhu 95<sup> o </sup>C dituangkan ke dalam cangkir gelas 150 g pada suhu 25<sup> o</sup> C, berapa suhu akhir (T ) dari campuran ketika dicapai kesetimbangan, dengan menganggap tidak ada kalor yang mengalir ke sekitarnya? </div>
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Penyelesaian: </div>
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Karena teh sebagian besar berupa air, maka teh memiliki kalor jenis (C ) 4.186 J/kg <sup>o </sup>C. </div>
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V = 200 cm 3 = 200 × 10 - 6 m <sup>3 </sup></div>
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massa, m = ρ .V = (1,0 × 10 <sup>3 </sup>kg/m<sup> 3</sup> )(200 × 10 <sup>- 6 </sup>m <sup>3</sup> ) = 0,20 kg </div>
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Dengan menerapkan Hukum Kekekalan Energi, maka: </div>
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kalor yang hilang dari teh = kalor yang diterima cangkir </div>
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m <sub>teh</sub> .c <sub>teh</sub> (95 o C – T ) = m <sub>cangkir</sub>.c <sub>cangkir</sub> (T – 25 <sup>o </sup>C) </div>
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di mana T adalah temperatur yang masih belum diketahui. </div>
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(0,20 kg)(4.186 J/kg <sup>o </sup>C)(95 <sup>o</sup> C – T ) = (0,15 kg)(840 J/kg <sup>o</sup> C)(T – 25 <sup>o </sup>C) </div>
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79.534 J – (837,2)T = (126)T – 3.150 J </div>
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T = 85<sup> o</sup> C </div>
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Teh berkurang suhunya sebesar 10 <sup>o</sup> C dalam mencapai kesetimbangan dengan cangkir.</div>
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6. Es sebanyak 3 kg pada suhu 0 <sup>o</sup> C dibiarkan pada suhu ruang hingga seluruhnya mencair. Berapakah kalor yang diperlukan untuk mencairkan es tersebut? (kalor lebur air = 3,33 × 10 <sup>-5</sup>J/kg) </div>
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Penyelesaian: </div>
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Diketahui: m = 3 kg </div>
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L = 3,33 × 10<sup> -5</sup> J/kg </div>
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Ditanya: </div>
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Q = ... ? </div>
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Jawab: </div>
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Q = m.L = (3 kg)(3,33 × 10<sup> -5 </sup>J/kg) = 9,99 × 10 <sup>-5</sup>J ≈ 10 <sup>-4</sup> J</div>
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Demikianlah Contoh Soal tentang Suhu dan Kalor ini saya sampaikan, semoga bermanfaat.</div>
</div>
gold.roger3425http://www.blogger.com/profile/11241720279056588223noreply@blogger.com0tag:blogger.com,1999:blog-6629470753799285607.post-32425982290118857532016-06-07T15:31:00.000-07:002017-10-15T00:04:00.050-07:00Soal dan Pembahasan Gelombang – Fisika Dasar<div dir="ltr" style="text-align: left;" trbidi="on">
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<span style="font-family: inherit; line-height: 150%;">Jawablah soal tentang Gelombang berikut ini dengan baik dan benar!</span><br />
<span style="font-family: inherit; text-align: left;">1. Persamaan gelombang berjalan pada seutas tali dinyatakan dengan y = 0,02 sin (20 π t – 0,2 π x). Jika x dan y dalam cm dan t dalam sekon,</span></div>
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<span style="font-family: inherit;">tentukan: </span></div>
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<span style="font-family: inherit;">a. amplitudo, </span></div>
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<span style="font-family: inherit;">b. panjang gelombang, </span></div>
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<span style="font-family: inherit;">c. kelajuan perambatan, </span></div>
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<span style="font-family: inherit;">d. bilangan gelombang, dan </span></div>
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<span style="font-family: inherit;">e. frekuensi gelombang! </span></div>
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<span style="font-family: inherit;"><br /></span></div>
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<span style="font-family: inherit;">Penyelesaian: </span></div>
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<span style="font-family: inherit;">Persamaan umum gelombang y, adalah: </span></div>
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<span style="font-family: inherit;">y = y m sin( kx − ω t ) </span></div>
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<span style="font-family: inherit;">y = -y m sin( ω t − kx ) </span></div>
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<span style="font-family: inherit;"><br /></span></div>
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<span style="font-family: inherit;">diberikan:</span></div>
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<span style="font-family: inherit;"><img alt="Soal dan Pembahasan Gelombang – Fisika Dasar" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEisF1idWnH0lyu3-Al8C_ckpzF6YJ5NfwVKVFde9mH4Y1FrBuA1ibJdL6MXGp8g8gjZ0hBda8_vjnLlSzF5nCGRZvhF3_h-eAqsWxjyPS7mh3yKrk9BiS7HkRDCIiM7RprBDCQFQ4zdHOk/s400/soal+pembahasan+gelombang+-+001.png" title="Soal dan Pembahasan Gelombang – Fisika Dasar" /></span></div>
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<span style="font-family: inherit;">Jadi, </span></div>
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<span style="font-family: inherit;">a. Amplitudo </span></div>
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<span style="font-family: inherit;">A = 0,02 cm </span></div>
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<span style="font-family: inherit;">b. Panjang gelombang ( λ )</span></div>
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<span style="font-family: inherit;"><img height="38" hspace="8" name="Object1" src="data:image/png;base64,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" width="213" /></span></div>
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<span style="font-family: inherit;">c. Kelajuan perambatan (v)</span></div>
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<span style="font-family: inherit;"><br /></span></div>
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<span style="font-family: inherit;"><img height="38" hspace="8" name="Object2" src="data:image/png;base64,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" width="165" /></span></div>
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<span style="font-family: inherit;"><br /></span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">d. Bilangan gelombang (k)</span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;"><br /></span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;"><img height="38" hspace="8" name="Object3" src="data:image/png;base64,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" width="133" /></span></div>
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<span style="font-family: inherit;"><br /></span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">e. Frekuensi ( <i>f </i>)</span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">ω = 2 π f</span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">20 π = 2 π f</span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;"><img height="38" hspace="8" name="Object4" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAG4AAAAmCAIAAACqMjmtAAAHl0lEQVR4nO2aeVQTVxSHXzJkICYgsawCQTZppSJYtVotFFABF6pVxMM5oILFurBUxVZbsR4RF1BwAfSASyu12NpWUQS1uNTSWo2hgCIqlLBKWWTNMlk7BEKGkLCZUcPhO/kj82aYd+fHvfe9OzdaEokEjKAOtF63AcOHESnVBg5S8gr2LvFP+Rc2MRzFa2iizgpPiFvtrEdEz0jaC1MjQk+UwBSknu+w4dihIAcKQf0GvCZwkFJQXyxcdSV/kz0MxE031jl4zGbTS9K8aKDl1sZ52xoPFub4mkjKU+c6em+yfZjsqjdcxMRBSp3xgVvsrOCOr0TaNL+P9I7/9msx12s6+9qeMy0uFzxNIPQMfUnEh+F+MdeiXZYaDBMtcZCSZOHuIT8SiyQAHkUiAM6TLCZv7Od0HekwgWIz1Yx3NKuYs3QWBT3mMiJnBv0JNeZVmEx3HENofniDUW81w815TvR3O9+nqN9IHMB52RHU5j1qM5jzsT0ZILWljYBqqAt1noH0THRBQ0ktAgCqlKi1wTzq8s/C8IC6+Kx149hXFpou5h24fH3xGHztUyf4Stn+IDHp+dx9O2bpAnEtG1UNgqGucCZowejcCJsvRvMAgIy9whdxctc3Oa001gL8mrxnyNjF1prhjTJwlFJUdyUy5M6ic9krLTtmgSnaALARYVdFIBEgQgCoFJgou15QmVtk7GpHBqCV9XcFZD3FHMbPOBzAS0pR3dUvfA/oH8yOnm3QKZaO6XhDcPu/NhHqm+ihsLWmBRg4mWjL/kLSlHcHcl1GBV1O6WOjYRslpVIKqrP2fZVyt7wGeKee3/KuzmBvKqj8OXxlun38hbDJut1ykO29JpPTmeVcMAHu2GI+u1et7eRpP0p2vpWZUe+0EQ1v0Fp+v4I4boq5tvK7v6kokZKXH+0dXBCV98u023vv6ZMGe0dBRVqA+26t0F3WNbcza6RDkP4El5nWb83ZGkhbkpz9fK6fqZh1PiF3TMBFT9lOSPQ888h9y/DxaHhLeI11XNiQShILBAQSidjHXKqNqPsjedOGZJ0jjJQPZRm33wKBXXBs2/aEpIwn2lN8g/zXR4W5GohKz+74Ov5wOoP/ts+nAcFbI30sVArSW8q2v+ISSyedcDeCxyyLog/+KbhF5y6UFiMRvt/Lx96OKc7faq/nEnc5JnTDx7NP0wT/cezjr8a7je58FmFF2uq1N61ST+uiBwT9qcvdSGG+0xdvPnpiu4chNLj5xU1/H4+KzSqruJVf94l8WNJ/gUBx/CxmY+53GbXz9p887EbtGIJs/L/Z9vjH9Afm36Qm+hn2mXF6Sckrzb7TbLXBQXeoiUrP6xJPxcsmAtUx5NTvIUqsoK/IbFkhO4LtQnOaQ4c4PZqUbfziflpdFT85c7d8UNIwkAJB2PDwYTOwnGaJyWncMkYlMF9k268gPaQUVGTE7YxJLBdR0kMWMufHntw0cdB58rVDJBugm1GBwmjfBYIMHusuC+h6TjSSy8KvZpYIiNbT6B2Zm8fc4uydQZtkS0OKsn8vGxt27+mhqeSuK3tISaL7RKy9mXS6PTz96mbbHkmh/cbysR7n2pQaD8251HhtweghPfhgeBkb+iwQZAgbCjucciods+BxWahTmvlInVLSXiNek5Mf4cDJWeNwpSjg+Pb3yPIrFQJcwmHl1+rYTTRSTK5U9/RWSfoAnhdHXsIGMb+vAkGG1CkBkuQ74wdZgpZwypkI0bXTKQk0j53rdODW3C1BKdwl52M9DbBrooKU/ComS2wRTB9qXBMIeO0FX+5tP7HfAgHInPLdA9fubbSRuVJL5gLjBQVT7DozJUSmQOz721cdfjE/7dAi454LooKUHNaDapL1JFPNqjMGQH8FQgdSp9TzdjKWhyS/+sFTRJYpO+Dmx62KrfZI+c3PTHFn0VNK/vP8MqGZnyUZKNJ+09/C/YdmpWbCXpfrsuZL8xSunaIB2qCU/goEFGF94aMWYPWBNSYkOaV3y4G5jy21M9iQx4eDdj37IOFioKWWuI1VJrKw0e9WtKeUvHJGFWTlbNa7zqC6nW2SnB3IA+PHy9hA6LNAkCJ1SpqPo6FcE6SK8Yzf7ZSCkuPBUQXOuws/ReOfV5C8h7k8yUa/++Kem6HawlLE1Hsc9n+lcQgqLyUcvVr0+NZT8OLFjpC1TuNnBG8OdKCoLhDQVakxN3nvsbRLLQD5J2nXt0Y7Vryjw350Zv+Rs6kl6JJ1JjrRPGqNVXbol3/xyU7XI5fmtFUV3GcH5oZhg7yHlEglo5JAf0+Nxa/qPg9ukCwWRu5biH45pXBCZYGArkpvzVwfi37OYMYoDoE7j6Ef+Yh/Fse/j4mxUgrrHz1hG7nYDLnQ6Y2qPo9mvfMZGFgpkQqpU1qo8Y2Mij7PDI1OISrASClqelLUQnOyG63G+FPR5+lkGPRzsGCkhMxDGCKlqUQ9YPo8UoZDPwfLq/t1BqbP08lw6OdgeUVSKvR5utH0fg6WVyFl7z6PDI3v52DBXUqlfR4ZGt/PwYKvlCr7PFLnU3M/53WDr5Sq+zywWvs5bwT4StlHn0e9/Zw3gZGfqqqNESnVxoiUauN/anfIHJr3hCMAAAAASUVORK5CYII=" width="110" /></span></div>
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<span style="font-family: inherit;"><br /></span></div>
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<span style="font-family: inherit;"><br /></span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">2. Seutas tali panjangnya 80 cm direntangkan horizontal. Salah satu ujungnya digetarkan harmonik naik-turun dengan frekuensi 1/4 Hz dan amplitudo 12 cm, sedang ujung lainnya terikat. Getaran harmonik tersebut merambat ke kanan sepanjang kawat dengan cepat rambat 3 cm/s. Tentukan amplitudo gelombang hasil interferensi di titik yang berjarak 53 cm dari titik asal getaran!</span></div>
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<span style="font-family: inherit;"><br /></span></div>
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<span style="font-family: inherit; line-height: 150%;">Penyelesaian:</span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">Diketahui: l = 80 cm </span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">f = 1/4 Hz </span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">A = 12 cm </span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">v = 3 cm/s </span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">x = (80 – 53) cm = 27 cm </span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;"><br /></span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">Untuk menentukan amplitudo gelombang stasioner A s dengan persamaan: </span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">A<sub>s</sub>= 2A sin kx</span></div>
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<span style="font-family: inherit;"><img height="42" hspace="8" name="Object7" src="data:image/png;base64,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" width="160" /></span></div>
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<span style="font-family: inherit;">A<sub>s</sub>= 24 sin 4,5 π = 24 × 1 = 24 cm</span></div>
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gold.roger3425http://www.blogger.com/profile/11241720279056588223noreply@blogger.com0tag:blogger.com,1999:blog-6629470753799285607.post-54283214692509881512016-06-07T15:27:00.000-07:002017-10-15T00:04:21.283-07:00Soal dan Pembahasan Gelombang Cahaya - Fisika Dasar<div dir="ltr" style="text-align: left;" trbidi="on">
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Jawablah Soal-soal tentang Gelombang Cahaya berikut ini dengan baik dan benar!<br />
<span style="text-align: left;">1. Suatu gelombang bidang elektromagnetik sinusoida dengan frekuensi 50 Mhz berjalan di angkasa dalam arah sumbu x positif. Pada berbagai titik dan berbagai waktu, medan listrik E memiliki nilai maksimum 720 N/C dan merambat sepanjang sumbu y. Tentukan:</span></div>
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a. panjang gelombang, </div>
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b. besar dan arah medan magnetik B ketika E = 720 N/C!<br />
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Penyelesaian: </div>
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Diketahui: f = 50 MHz = 50 × 10 6 Hz = 5 × 10 7 Hz </div>
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E m = 720 N/C </div>
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c = 3 × 10<sup>8</sup> m/s </div>
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Ditanya: </div>
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a. λ = ... ? </div>
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b. B<sub>m</sub> = ... ?</div>
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Jawab:</div>
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a. </div>
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b.</div>
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<br /></div>
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<img height="43" hspace="8" name="Object2" 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PkPBgOoLRSGAQm6VI6/W8eg6RUS/QklAJ5NDEMSoUCB8v1x8A2MSUCbLgCsf3/9ShZ2keevnT/OGZRUjjM6OZ5k9O/Q8fMjKKst/2yN/jTFMRKCLTWEekn8hSQfG/mOe74/qdww6eR4l1G/QwcPIKCy6trbVeyO9ieVGyadHO8ygjt08OEzGuH/F4R8+PSAHxJ8+PTg/5lb/8LgBSEcAAAAAElFTkSuQmCC" width="262" /></div>
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Karena E dan B tegak lurus dan keduanya harus tegak lurus dengan arah perambatan </div>
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gelombang (sumbu x), maka disimpulkan bahwa B ada dalam arah sumbu z.</div>
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<br /></div>
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2. Suatu sumber titik dari radiasi elektromagnetik memiliki daya rata-rata 600 W. </div>
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Tentukan: </div>
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a. amplitudo maksimum medan listrik dan medan magnetik pada titik yang berjarak 2 m dari sumber radiasi, </div>
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b. rapat energi rata-rata pada titik yang berjarak 2 m dari sumber radiasi! </div>
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Penyelesaian: </div>
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a. Satuan dari laju energi rata-rata per m<sup>2</sup> yang dipindahkan melalui gelombang elektromagnetik <img height="18" hspace="8" name="Object3" src="data:image/png;base64,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" width="17" />adalah W/m<sup>2</sup> , ini tak lain adalah satuan intensitas gelombang.</div>
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<img height="40" hspace="8" name="Object4" src="data:image/png;base64,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" width="95" /></div>
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dengan <img height="18" hspace="8" name="Object5" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABMAAAASCAIAAAA2bnI+AAABOElEQVR4nGP5//8/A1mAhTxtWHQyMjLiUY3sQHSd////+3ppTm1D/+T11//J6hmK/v/04sVvea+Cnr5cKyH8rmXk1kttyjs4f/0Tt/lHVzrzMPx6sCTcINb5ufCdbTHSzHh0AsGfN1eufmCQN5NnB/HYFAIL/AQ3LF905lOMtCB+nT8enHjAwO2sJ84KdQYbFyvDv7+okYBN5583l6+ArFTggPJfnDrxikHLXYuHkE6wlVxOBiAr//98srczofqyWt7uFBVWAjr/vL589SPDt1MVnraNf759/Sek5z3vYlGIDh8TIdf+eHD8AQNP8PyDa1x5sbgIt06IlYo2ypx4tGHVCfYlv4+BGIGEiSL9/+uleU1dszd/Yvh1eWpl3Z24oiRTASZidAKTT3LnEiDCbxsu1xILBkInAPdLe0I75KJ2AAAAAElFTkSuQmCC" width="19" />daya rata-rata (watt)</div>
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<img height="47" hspace="8" name="Object6" src="data:image/png;base64,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" width="141" /></div>
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<span style="font-family: "liberation" serif , serif;">μ</span><sub><span style="font-family: "liberation" serif , serif;">0</span></sub><span style="font-family: "liberation" serif , serif;">= 4</span><span style="font-family: "liberation mono" , serif;"><span style="font-size: x-small;"><span style="font-style: normal;"><span style="font-weight: normal;">π x 10 </span></span></span></span><sup><span style="font-family: "liberation mono" , serif;"><span style="font-size: x-small;"><span style="font-style: normal;"><span style="font-weight: normal;">-7</span></span></span></span></sup><span style="font-family: "liberation mono" , serif;"><span style="font-size: x-small;"><span style="font-style: normal;"><span style="font-weight: normal;">Wb . A</span></span></span></span><sup><span style="font-family: "liberation mono" , serif;"><span style="font-size: x-small;"><span style="font-style: normal;"><span style="font-weight: normal;">-1</span></span></span></span></sup><span style="font-family: "liberation mono" , serif;"><span style="font-size: x-small;"><span style="font-style: normal;"><span style="font-weight: normal;">. m</span></span></span></span><sup><span style="font-family: "liberation mono" , serif;"><span style="font-size: x-small;"><span style="font-style: normal;"><span style="font-weight: normal;">-1</span></span></span></span></sup></div>
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<span style="font-family: "liberation" serif , serif;">c = 3 × 10 8 m/s </span></div>
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<span style="font-family: "liberation" serif , serif;">P = 600 W </span></div>
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<span style="font-family: "liberation" serif , serif;">r = 2 m</span></div>
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<img height="49" hspace="8" name="Object10" 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" width="542" /></div>
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<span style="font-family: "liberation" serif , serif;">Amplitudo medan magnetik B</span><sub><span style="font-family: "liberation" serif , serif;">m</span></sub><span style="font-family: "liberation" serif , serif;">, dapat dihitung dengan:</span></div>
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<img height="43" hspace="8" name="Object11" 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<span style="font-family: "liberation" serif , serif;">b. Rapat energi rata-rata</span></div>
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<span style="font-family: "liberation" serif , serif;">3. Sebuah sinar jatuh pada sisi AB dari sebuah prisma segitiga ABC masuk ke dalam prisma dan kemudian menumbuk AC. Jika sudut pembias prisma 40 o dan indeks bias prisma 3/2, tentukan sudut deviasi minimum prisma! </span></div>
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<span style="font-family: "liberation" serif , serif;">Penyelesaian:</span></div>
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<span style="font-family: "liberation" serif , serif;">Diketahui:</span></div>
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<span style="font-family: "liberation" serif , serif;">β = 40</span><sup><span style="font-family: "liberation" serif , serif;"> o</span></sup><span style="font-family: "liberation" serif , serif;">; n</span><sub><span style="font-family: "liberation" serif , serif;"> 2</span></sub><span style="font-family: "liberation" serif , serif;">= 3/2; n </span><sub><span style="font-family: "liberation" serif , serif;">1</span></sub><span style="font-family: "liberation" serif , serif;">= 1 (udara) </span></div>
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<span style="font-family: "liberation" serif , serif;">Ditanya:</span></div>
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<span style="font-family: "liberation" serif , serif;">δ</span><sub><span style="font-family: "liberation" serif , serif;">m</span></sub><span style="font-family: "liberation" serif , serif;">= ... ?</span></div>
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<span style="font-family: "liberation" serif , serif;">Jawab:</span></div>
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1/2 <span style="font-family: "liberation" serif , serif;">δ</span><sub><span style="font-family: "liberation" serif , serif;">m</span></sub><span style="font-family: "liberation" serif , serif;"></span><span style="font-family: "liberation" serif , serif;">= 30</span><sup><span style="font-family: "liberation" serif , serif;">o</span></sup><span style="font-family: "liberation" serif , serif;">– 20</span><sup><span style="font-family: "liberation" serif , serif;">o</span></sup></div>
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<span style="font-family: "liberation" serif , serif;">δ</span><sub><span style="font-family: "liberation" serif , serif;">m</span></sub><span style="font-family: "liberation" serif , serif;"> </span><span style="font-family: "liberation" serif , serif;">= 20</span><sup><span style="font-family: "liberation" serif , serif;">o</span></sup></div>
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4. Dua celah yang berjarak 1 mm, disinari cahaya merah dengan panjang gelombang 6,5 × 10 <sup>-7</sup> m. Garis gelap terang dapat diamati pada layar yang berjarak 1 m dari celah. Hitunglah jarak antara gelap ketiga dan terang pusat, serta jarak antara terang kedua dengan garis terang keempat! </div>
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Penyelesaian: </div>
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Diketahui: </div>
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<i>d </i>= 1mm = 10<sup>-3 </sup>m </div>
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<i>λ </i>= 6,5 × 10 -7 m </div>
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<i>l </i>= 1 m </div>
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Ditanya: </div>
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a. <i>p </i>= ... ? </div>
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b. Δ<i>p</i> = ... ?</div>
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Jawab:</div>
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a. Jarak antara gelap ketiga dengan terang pusat</div>
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" width="461" /></div>
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<span style="font-family: "liberation" serif , serif;"><i>p</i></span><span style="font-family: "liberation" serif , serif;">= 1,6 mm</span></div>
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<span style="font-family: "liberation" serif , serif;">b. Jarak antara terang kedua dan terang keempat</span></div>
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Δ<i>p </i>= 1,3 × 10 <sup>-3</sup> m = 1,3 mm</div>
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5. Celah tunggal yang lebarnya 0,1 mm disinari berkas cahaya dengan panjang gelombang 4.000 <span style="font-family: "liberation" serif , serif;">Å</span>. Apabila pola difraksi ditangkap pada layar yang jaraknya 20 cm dari celah, tentukan jarak antara garis gelap ketiga dan garis pusat terang!</div>
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Penyelesaian: </div>
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Diketahui: <i>d</i> = 0,1 mm = 10 <sup>- 4</sup> m </div>
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<i>λ</i>= 4.000 <span style="font-family: "liberation" serif , serif;">Å</span>, = 4 × 10 <sup>-7</sup>m </div>
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<i>l</i>= 20 cm = 2 × 10 <sup>-1</sup> m </div>
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Jarak garis gelap ketiga dari pusat terang p dapat dihitung dari rumus jarak gelap ke-n dari pusat terang. Jadi, </div>
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d.sin θ = n. λ </div>
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<img height="38" hspace="8" name="Object24" src="data:image/png;base64,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" width="67" /></div>
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<br /></div>
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Untuk garis gelap ke-3 maka n = 3</div>
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<img height="43" hspace="8" name="Object25" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAR8AAAArCAIAAADOqRsVAAAO5klEQVR4nO2dB1RTSRfHJwkJCYGAFGkCStXFEgVlV8ESAbFhQcV10XUFsaCCoi7uJ3ZZK2DD3husq6IIIjZsiwVQEQSlI02QJiU970tCSyAVUyj5Hc6BTN5975/75t4pbzIoQRAEFChQIAWU5C1AgYJuiyK6OjO0shfH1q2NGfdv1EJDhLzFiErVzUlD/LJUMHBAq6kZeDztpqsmTN6a5ER3iy5GZdK9nL7OtlqCKiMxM/YVmjDWCNUxc1kBEYu/KA8yZ/xLa3zdRWSjLJbefD/VRgNUxP51BDeOFVr8lXd1GBUPN60IR+B75yfDF4RtJWjBOd/tXtFFybl6OMVmvY2QSoYxHVz798kkv+U2qlxZVURzWQHDGNsMIT9skdhFZGMHutowf1Gzrt8xnBOsxirip7zLwyiLCYruF/zyT6v0gJ/9Y3zGztfjDK/uFF304sjgtLFBv6GFHokwmOBG972YNXiZBbID5vKiK8muS7z4YcxSz6bWiqfybgAcrdUbUdtAB/S6GriOFhrO/bbcootaGL17pWfg7QH/fL3/S/T0cVs/1KtNOfPwkIs2XLgxTyiZV8IxrpdwrSXkj8Fubgc/Kevrq1LLy5Vsluw/4DuqsfeEspg8aPuZtwt3jsDwNSel7HKbdzIHpaejQvpWpWrvG7rPayhOZHnUsudH/VccRR9KPOmAbSqD6j6c8lt5OguFJZdTrFccO7DIGgsD1IKoI+eTaxgtpghte68l4/Xa3xxRZHPA+BbjOcit4HjpQ1d1UWVLRDmsOPoCdc4e/dbmtL3yboH6aD+noHUr1hh/TJl0aJ9Gm3elFl0CajYbZB9n95Fam5OGmaoCmJH3rRQnyi6HgLhy53m6HQsval50HNZxsQpHEa0ikzL31ofNQ9AA+v7Cf5C9y2Kz3OvTtFm9EyXDkebvwtOII2wx/Myp5Rm0P2Le+1uhAKPq0XLr8Y71xlmXXHoJ79wwql4d37T3bm5B/Puyma3FUE38mkl/VQR/eDhbD8o/5Tx4or956tExOKTxVL/AqSJ9ShFkt0Avuuaz6FwpmSDSmSWpnPzhYozF/JNqgpSLgQhproN5BPxgKrFzKN+S5HUjdqFuyZkJbsFpTwOtOceWUosuQTW7EVL+6wJ43+HGyko6BFdDAOqd8dUR2aR5ujyrijCgmnePyUOncdkijaYum2vF7jLBcPjpY3uFxN3LIk7TZh+ENrFBvX5RQrM1VeJjjrZcsN6iH9tb8F4j3Mfijj+4mUF0+UUEfWgz933XvApDhkXv5JD4Le7vizWjIyfosZKMsZufg697UNyO0bO0eccrVJ/54EbEi8I87NV/zGfPGGuCFkl2E9ScM34X+nrbgh3C5UpWOVT5+OTniQGWbeYwuJWLg9A015E8AiSRSuqf/F6tMhwLBwhVXWzVk29UZiPN8bbUoktgzWZBK0vJaNAdb9YyzlXuMwiZmVPLGKnSkcaLXPi2VH2kDlevHtV30oyWFxCNTAeqvdVamk+0vkn99TwSYDaevM2RRoTxra8YdAigVJDNahmV/4Uu9/CPNL2cFzdPj54d5ozfZno3+7Q9K//BMdqazErRRmLDp7vJJIPVxo0jJBjWbLgh6fDdjIZZ9ljACxjWwmn+RuYPV6lQ2WxIHw/53iWEHtH23NP2Lakrh2m6HDzNo5xLuTgISXMdzCNAAqlExXb1ErVdm3ekaZa+wS3baNvGHVKLLsE1GzQ2XTBm09U8Goe+f07KydYppHjodmSATqv8QtVW5/txKPlRYY8Qzjt/t1RuLkLgeoOS0gYIsOJbiDmglr5Nq9V2mmbV3K2Ba45cfST0WYzb4agi90XK6ak01/2bf+YdJk2QS7MrgKpOsxcQOD018C2rlAyAQLM2iCAbqk/cvTrR/dQFC+XI9ifoHMrFQWCaE5BHgNRTCQyLX30xnK9wWcxq8KjZzHpRnppe19vBHNfkpYbkvSsvFhc4FjQAm45EF4NUy0Cj2t82RnmU1+T1jzJz6vovO3nJo29rmoejsErkGhKzG43gb95EXdKRsBLn3ZvtOYcSMC3CandNwqET57KS4qyPnZ1nLNCbDEo9szoiUIimq8CUUMzjyfUUpgIxWmuhsqHqJ5sCviy/vNFICVTyPkcnUN5RuNOc4DwC5JhK2Eg1uvjX7Oama4RJY8BRs8+sDK12mjOgPKWEMkOzQ08dmbeex5JJuM7UM6+nAoiYfc2HMNAm4X7CXnv1ploCCTdnQS+LWef9bHpE7EKTNu5SHeGzyOjUjuCZia+WW6sIycjMysX8sPVkWtNlICqZxjwFFiVuR1igbEZ59J/baQHXpuoKrMKdQHmH4EpzIuQRIK9Uwkaq0SWgZtMr0tK+a/9syZ75YZRFrQ9Mxm9/uSB+1plCMrDuQHTB0WpwEpXv7YNhzGZs8NlquWnX88A7k9nTSgxKA01Zp+kRBV9zetm9P2fv1wiO3eHY7lkB49uLiAQEBlSUEIEInR20vqUOePK1lt6YvGnfi2uANl5PWagh90UFy66K33Pi0bMTWgc5yqZpwPCH8974tCYH+SvvCNxpTsQ8AuSVSoBseoY8aja76QImq1idW6g2YYffDdyyhD/6q5SofEkvp01QE18WUssYVVFD4yyifomLqbOfNqBlIgUGA3RKs9cA/XsZ0LNrcjYPc/YZrvsuDLcKiVw1TK3tTWFUxgfOP6oXEn1o1eA1ofF/j5oibDkdxsplGCY8OZ8IfkKxZn0zXxcp4ydYiTlFKkS2htOZt4k19KZXNQ88xwco7Y8/NdlavzW0OoNysWmX5kTLI0BOqYSNtKJLWM2uTE+t1rKx0oADSnqYT1i169WAEVjl8gEa5feZjZfYc7YAoPoMM6jJLKcC9Zb+J+3rw8OXVR1DRrL6y1Dtu0vn03GTN9s1D51IJfmYIcbKfM2pBZfmE3YqrdxuWvwkuphdhND4afQoUywMQN9fbpmxgREUu2qoWvkqwqr5wdElE+cbCE6iMC2nDQt6uR2NLXF212fk/Rv6QnP+rQl8puP5IkQ2QsMcb9NycGUuDsCQ5ni8VfNToM6iXDx4pTkR8giQXyphI63oElaz81/lA5NlJsr0oiurt6VYB16dxnqIrGrUl5H5uZoxGit2MwzD4QmYW9lEYN4SHsjeg/Se/m473KBPLySluqxWk3D62c5Zek0ViVyQTMS7GCL5mhM/RkRmZ5D9Zl9uvUr/oIz3G6xQ1MxjXjvShsVa42AApuPkOwU9McBnp/rBDa5GbHPql6jQw/c+psd/BpWVm72X4S1/8Vy7wBqLG73vTtDKFdMcz/Wifm2wCrkXMk5dzCoqVLZgOo1yMeCb5gTnESDXVMJGWtEluGYzqjM+VDBKY8KOkXK23VNd9HBZf/ZQC6U3QDV5V9A914MTe4s7r4Q0njSRfDq9YYJdc5ZRMva4mOTB53Ba0X8Z1rPXq/A3x7lEkfiM45CW61MZ65tewDRcIqq5D0QaTV23m/Xc8WwbQ5jqYO+zT73F+Fhiy+ZCc9ZTiMFZ0HmUi46ANCfYUI6ppBFpRZfAmg3ghl5vIK/Gv31WtJYjrTakkTZ08JJIM/d5tLDk73b2vBfdcUHJjklxWOzJMccqlrm86KKyAS/lIiMgzbXSLo8AeaaSJnhFF+njAXdHv9uGBx+vzgr0P/K81mx28O0L3ladbBV2O+C6k1YNCbn9ydZDmFR6yYNIJW8f7twnurm86KKyAR/l3R9e0YUe8JuH1ZrbKbci6zddSPZ84O3gvcrPfWaMm3b9o7kG4yNqeZ4J4RRVETdFzCWUQqkT64pI4+neQ+IzKi3wmoIGbsS8NJyH59B2SwZENJcXXVQ24KtcvJvbBeHZMyQXJuYCS9+DexazZk3mrXVdf+dFUhHFTVuVEP4d4r/wQwqIe0W4xiACXthBGDNH+x8wlxddVDbgq1z21UnG8IyuhtzkEsxPdn2a23EYDKBxYjwFhMEk8w1U0ferktQVFcgGsXYi63I3t+XT8YouclFSDt1kqWnjglXa17fvqzSG2Rl0qy+VKlAgfXhFFzE3qRhrPVSvcdYyL/J8hsnCk+xHVXWP5xkRrlbzPBPK5U7Z3caVGBLcI1H2V1QgM7r9zeURXZSit9l0k+Wspguqe3/QcxfF59omW/ZzCtVxV6qgK7LUJ/srdi2gqvve407NfhbhrCb84M5GJ7+5P+5bHtFFzE8spGbsnjnhsZkqmaTnHvVsqV0vSU9G0cufhm3bsulwgkNM6e2JXXxqSG5AtW/CQh5/U5ktbyHdEEn4tn10UUreZtLxwQlvVvSV4hJfhM5ob+9RB44W2/XrVruYyBRi6sXbBgvGaN2Qt5BuiER82z6ASHlvilD9LLWkvnqemJdYhLIcqt/DnjBKDErm1auYheuM9oXKW0n3Q0K+bRdD1NKUTJL+HMMOLWUWB0ppSi7N2KMHN10i7kaE+sJrV7MxlBtnib8Gmiu/lY/4zsyP7hgnMd9yRxetKGb3/45/pJXe3rF94K5NbiaSnoVn1Ly7sGVLeDZcuSE38eknpMswgx7ZdIm3GxGPXc1ouSfD71/49iycUZ2Wmp+w5LTZOU+zHulKbiSxY5zkfMsdXUqGkzZem7SRz7E/ClTzPMBh+rO5sfeCbXGUtC0Dh1wd0VObrh/djUip3+LIN4uZfzT8t/SX0JnHFaHVhAR2jJOcb2W4F2/Dm60eIVTf9/62rJ1qGrJefkFZ9tCmS0JbsrFQGXns/UgpKu1iSM6xQAK+lV101b46dC7f6q9fLdgjOnLBq89Uoz96atPFGwnuRqSAE3k5VmbRRSl+mVjVa/hwffZQDqrLelWIsuipTRdvJLkbkQIO5OZYmUUXRK4jg5YlLaTc559pxosVTRcnktyNSAEHcnOszKILZTjCGhN0JyQi1WpcxbVta08UosbZGCqaLk4kuBuRAk7k5ViZRRdMyyX4kPvE5Z6Dh4xaudd/tO65xI/nL6QSVg5UtF/NSHA3IgWcyMuxMpwzVLbwDM/ybP6y3AJov+wu3UWQ4G5ECjiRl2O70/+e7EJIfTeinkrncqwiuuSC1Hcj6ql0LscqokuBAmmhiC4FCqTF/wEHj07tR57dNwAAAABJRU5ErkJggg==" width="287" /></div>
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p = 24 × 10 <sup>-4</sup> = 2,4 × 10<sup> -3</sup> m = 2,4 mm</div>
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6. Jika sudut antara kedua sumbu polarisasi pada kedua polaroid adalah 60<sup>o</sup>, tentukan intensitas cahaya yang diteruskan oleh polaroid pertama dengan intensitas I<sub>0</sub> dan polaroid kedua! </div>
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Penyelesaian: </div>
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Diketahui: θ = 60<sup>o </sup></div>
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Ditanya: </div>
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I<sub>1</sub>= ... ? </div>
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I<sub>2</sub>= ... ?</div>
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Jawab:</div>
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I<sub>1</sub>= 1/2 I<sub>0</sub></div>
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<span style="font-family: "liberation" serif , serif;">I</span><sub><span style="font-family: "liberation" serif , serif;">2</span></sub><span style="font-family: "liberation" serif , serif;">= 1/2 I</span><sub><span style="font-family: "liberation" serif , serif;">0 </span></sub><span style="font-family: "liberation" serif , serif;">cos</span><sup><span style="font-family: "liberation" serif , serif;">2</span></sup><span style="font-family: "liberation" serif , serif;">θ = /2 I</span><sub><span style="font-family: "liberation" serif , serif;">0 </span></sub><span style="font-family: "liberation" serif , serif;">cos</span><sup><span style="font-family: "liberation" serif , serif;">2</span></sup><span style="font-family: "liberation" serif , serif;">60</span><sup><span style="font-family: "liberation" serif , serif;">o</span></sup><span style="font-family: "liberation" serif , serif;">= 0.125 I</span><sub><span style="font-family: "liberation" serif , serif;">0</span></sub></div>
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gold.roger3425http://www.blogger.com/profile/11241720279056588223noreply@blogger.com0tag:blogger.com,1999:blog-6629470753799285607.post-46312455184116378422016-06-06T11:18:00.000-07:002017-10-15T00:05:57.992-07:00Jenis dan Pola Curah Hujan di Indonesia<div dir="ltr" style="text-align: left;" trbidi="on">
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<u><b>Jenis dan Pola Curah Hujan di Indonesia</b></u> - Jumlah curah hujan dicatat dalam inci atau millimeter (1 inci = 25, 4 mm). Di daerah tropis hujannya lebih lebat daripada di daerah lintang tinggi. Garis yang menghubungkan titik-titik dengan curah hujan sama selama periode tertentu disebut isohyets. </div>
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<img alt="Jenis dan Pola Curah Hujan di Indonesia" border="0" height="213" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj5-Oo-DYHRwKI4JQWJoI1Aoakou_Pr4yJWisvGFjErXGTytlqdvSS2uE_Y7qwCpUch-Oqdfb-pSB5OdZjM1wAoiAz6HnHDPY2seKqBL7Me-_Mr8FYF4zPDAEAX5Q4EWjk03j1T9NPcQiI/s320/hujan.webp" title="Jenis dan Pola Curah Hujan di Indonesia" width="320" /></div>
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Ada <b>tiga jenis hujan</b>, yaitu :</div>
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1. Hujan konvektif </h4>
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Akibat pemanasan radiasi matahari udara permukaan akan memuai dan naik ke atas, kemudian mengembun. Gerakan vertical udara lembab yang mengalami pendinginan dengan cepat akan menghasilkan hujan deras. Awan cumulonimbus (Cb) yang terjadi, pada umumnya mencakup daerah yang nisbi kecil sehingga hujan deras berlangsung dalam waktutidak lama. </div>
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2. Hujan orografik </h4>
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Jika gerakan udara melalui pegunumgan atau bukit yang tinggi maka udara akan dipaksa naik. Setelah terjadi kondensaasi, tumbuh awan pada lereng di atas angin (windward side) dan hujannya disebut hujan orografik, sedangkan pada lereng di bawah angin (leeward side), udara yang turun akan mengalami pemanaan dengan sifat kering, dan daerah ini disebut daerah bayangan hujan. </div>
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3. Hujan konvergensi dan frontal </h4>
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Jika dua massa udara yang konvergen horizontal mempunyai suhu dan massa jenis berbeda, maka massa udara yang lebih panas akan dipaksa naik di atas massa udara dingin. Bidang batas antara kedua massa udara yang berbeda sifat fisisnya disebut front. </div>
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Jumlah curah hujan paling berlimpah terdapat di daerah ekuator dan berkurang menuuju daerah kutub. Ada<b> tiga pola curah hujan di Indonesia</b>, yaitu:</div>
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1. Pola curah hujan jenis monsun </h4>
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Distribusi curah hujan bulanan berbentuk “V” dengan jumlah curah hujan musiman pada bulan Juni, Juli, atau Agustus. Saat monsun barat jumlah curah hujan berlimpah, sebaliknya saat monsoon timur jumlah curah hujan sangat sedikit. Daerah curah hujan jenis monsun sangat luas terdapat di Indonesia.</div>
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2. Pola curah hujan jenis ekuator </h4>
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Jumlah curah hujan maksimum terjadi setelah ekinoks. Tempat di daerah ekuator seperti Pontianak dan Padang. </div>
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3. Pola curah hujan jenis lokal </h4>
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Distribusi curah hujan bulanannya kebalikan dari jenis monsun, lebih banyak dipengaruhi oleh sifat local. Daerah yang mempunyai sifat local sangat sedikit, misalnya daerah Ambon.</div>
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gold.roger3425http://www.blogger.com/profile/11241720279056588223noreply@blogger.com0tag:blogger.com,1999:blog-6629470753799285607.post-82942252874361090292016-06-06T11:09:00.000-07:002017-10-15T00:06:07.086-07:00Soal dan Pembahasan Listrik – Fisika Dasar<div dir="ltr" style="text-align: left;" trbidi="on">
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<span style="font-family: inherit;">Jawablah Soal tentang <b><u>Listrik</u></b> berikut ini dengan baik dan benar!</span></div>
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<span style="font-family: inherit;">1. Arus listrik sebesar 5 A mengalir melalui seutas kawat penghantar selama 1,5 menit. Hitunglah banyaknya muatan listrik yang melalui kawat tersebut! </span></div>
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<span style="font-family: inherit;">Penyelesaian: </span></div>
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<span style="font-family: inherit;">Diketahui: </span></div>
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<span style="font-family: inherit;">I = 5 A </span></div>
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<span style="font-family: inherit;">t = 1,5 menit = 90 sekon </span></div>
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<span style="font-family: inherit;">Ditanya: </span></div>
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<span style="font-family: inherit;">Q = ... ? </span></div>
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<span style="font-family: inherit;">Jawab: </span></div>
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<span style="font-family: inherit;">Q = I.t = (5A) (90 s) = 450 C</span></div>
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<span style="font-family: inherit;">2. Sebuah pemanas listrik memiliki beda potensial 20 V dan kuat arus listrik 4 A. Berapakah hambatan pemanas tersebut? </span></div>
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<span style="font-family: inherit;">Penyelesaian: </span></div>
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<span style="font-family: inherit;">Diketahui: V = 20 V </span></div>
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<span style="font-family: inherit;">I = 4 A </span></div>
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<span style="font-family: inherit;">Ditanya: </span></div>
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<span style="font-family: inherit;">R = ... ? </span></div>
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<span style="font-family: inherit;">Jawab:</span></div>
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<span style="font-family: inherit;">R = V/I = 20/4 = 5 Ω</span></div>
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<span style="font-family: inherit;">3. Berapakah hambatan seutas kawat aluminium (hambatan jenis 2,65 × 10<sup>-8</sup> Ω .m) yang memiliki panjang 40 m dan diameter 4,2 mm? </span></div>
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<span style="font-family: inherit;">Penyelesaian: </span></div>
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<span style="font-family: inherit;">Diketahui: </span></div>
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<span style="font-family: inherit;">ρ = 2,65 × 10<sup>-8</sup> Ω .m </span></div>
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<span style="font-family: inherit;">l = 40 m</span></div>
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<span style="font-family: inherit;">d = 4,2 mm → r = 2,1 mm = 2,1 × 10<sup> -3 </sup>m</span></div>
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<span style="font-family: inherit;">Ditanya: </span></div>
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<span style="font-family: inherit;">R = ... ? </span></div>
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<span style="font-family: inherit;">Jawab:</span></div>
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" 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<span style="font-family: inherit;">4. Sebuah lampu bertuliskan 40 W/110 V dinyalakan selama 10 menit. Berapakah arus listrik dan energi listrik yang diperlukan? </span></div>
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<span style="font-family: inherit;">Penyelesaian: </span></div>
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<span style="font-family: inherit;">Diketahui: P = 40 W, V = 110 V </span></div>
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<span style="font-family: inherit;">Ditanya: I = ... ? </span></div>
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<span style="font-family: inherit;">W = ... ?</span></div>
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<span style="font-family: inherit;">jawab:</span></div>
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<span style="font-family: inherit;">I = P/V = 40/100 = 0,36 A</span></div>
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<span style="font-family: inherit;">W = P . t = 40 W × 600 s = 24.000 J = 24 kJ</span></div>
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<span style="font-family: inherit;"><br /></span></div>
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<span style="font-family: inherit;">5. Sebuah peralatan listrik memiliki daya 450 W dan tegangan AC 220 V. Hitunglah arus maksimum dan hambatannya!</span></div>
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<span style="font-family: inherit;">Penyelesaian:</span></div>
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<span style="font-family: inherit;">Diketahui:</span></div>
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<span style="font-family: inherit;"><img height="18" hspace="8" name="Object2" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABMAAAASCAIAAAA2bnI+AAABOElEQVR4nGP5//8/A1mAhTxtWHQyMjLiUY3sQHSd////+3ppTm1D/+T11//J6hmK/v/04sVvea+Cnr5cKyH8rmXk1kttyjs4f/0Tt/lHVzrzMPx6sCTcINb5ufCdbTHSzHh0AsGfN1eufmCQN5NnB/HYFAIL/AQ3LF905lOMtCB+nT8enHjAwO2sJ84KdQYbFyvDv7+okYBN5583l6+ArFTggPJfnDrxikHLXYuHkE6wlVxOBiAr//98srczofqyWt7uFBVWAjr/vL589SPDt1MVnraNf759/Sek5z3vYlGIDh8TIdf+eHD8AQNP8PyDa1x5sbgIt06IlYo2ypx4tGHVCfYlv4+BGIGEiSL9/+uleU1dszd/Yvh1eWpl3Z24oiRTASZidAKTT3LnEiDCbxsu1xILBkInAPdLe0I75KJ2AAAAAElFTkSuQmCC" width="19" />= 450 w</span></div>
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<span style="font-family: inherit;">V<sub>rms</sub>= 220 v</span></div>
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<span style="font-family: inherit;">ditanya: </span></div>
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<span style="font-family: inherit;">I<sub>rms</sub>= ... ? </span></div>
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<span style="font-family: inherit;">R = ... ?</span></div>
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<span style="font-family: inherit;">Jawab:</span></div>
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<span style="font-family: inherit;"><img height="44" hspace="8" name="Object5" src="data:image/png;base64,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<span style="font-family: inherit;">6. Tiga buah hambatan masing-masing sebesar 4 ohm, 3 ohm, dan 8 ohm, dirangkai secara paralel. Jika kuat arus yang mengalir 4 ampere, hitunglah beda potensialnya! </span></div>
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<span style="font-family: inherit;">Penyelesaian: </span></div>
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<span style="font-family: inherit;">R 3 = 8 Ω </span></div>
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<span style="font-family: inherit;">Diketahui: </span></div>
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<span style="font-family: inherit;">R 1 = 4 Ω </span></div>
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<span style="font-family: inherit;">R 2 = 3 Ω </span></div>
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<span style="font-family: inherit;">I = 4 A </span></div>
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<span style="font-family: inherit;">Ditanya: </span></div>
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<span style="font-family: inherit;">V = ... ?</span></div>
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<span style="font-family: inherit;">Jawab:</span></div>
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<span style="font-family: inherit;"><img height="40" hspace="8" name="Object6" src="data:image/png;base64,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" width="307" /></span></div>
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<span style="font-family: inherit;">V = I . R<sub>P </sub>= 4 A × 1,4 Ω = 5,6 V</span></div>
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<span style="font-family: inherit;">7. Empat buah resistor masing-masing dengan hambatan 2 Ω , 3 Ω , 4 Ω , dan 5 Ω disusun seri. Rangkaian tersebut dihubungkan dengan ggl 18 V dan hambatan dalam 1,5 ohm. Hitunglah kuat arusnya! </span></div>
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<span style="font-family: inherit;">Penyelesaian: </span></div>
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<span style="font-family: inherit;">Diketahui: </span></div>
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<span style="font-family: inherit;">R<sub>1 </sub>= 2 Ω </span></div>
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<span style="font-family: inherit;">R <sub>2</sub>= 3 Ω </span></div>
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<span style="font-family: inherit;">R <sub>3</sub>= 4 Ω </span></div>
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<span style="font-family: inherit;">R <sub>4</sub>= 5 Ω </span></div>
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<span style="font-family: inherit;">ε = 18 V </span></div>
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<span style="font-family: inherit;">r = 1,5 Ω </span></div>
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<span style="font-family: inherit;">Ditanya: </span></div>
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<span style="font-family: inherit;">I = ... ? </span></div>
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<span style="font-family: inherit;">Jawab: </span></div>
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<span style="font-family: inherit;">R<sub>s </sub>= (2 + 3 + 4 + 5) Ω = 14 Ω</span></div>
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<span style="font-family: inherit;"><img height="40" hspace="8" name="Object7" src="data:image/png;base64,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" width="177" /></span></div>
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Demikanlah Soal dan pembehasan tentang Listrik ini saya sampaikan, semoga bermanfaat.</div>
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gold.roger3425http://www.blogger.com/profile/11241720279056588223noreply@blogger.com0tag:blogger.com,1999:blog-6629470753799285607.post-42229883643578921982016-06-06T11:06:00.000-07:002017-10-15T00:06:17.306-07:00Soal dan Pembahasan Alat Optik – Fisika Dasar<div dir="ltr" style="text-align: left;" trbidi="on">
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<span style="font-family: inherit;">Jawablah Soal berikut ini dengan benar dan baik!</span></div>
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<span style="font-family: inherit;">1. Berapakah perbesaran anguler lup yang memiliki fokus 8 cm dengan mata tak berakomodasi? </span></div>
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<span style="font-family: inherit;">Penyelesaian: </span></div>
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<span style="font-family: inherit;">Diketahui: f = 8 cm </span></div>
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<span style="font-family: inherit;">PP = 25 cm </span></div>
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<span style="font-family: inherit;">Ditanya : M = ... ?</span></div>
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<span style="font-family: inherit;"><img height="38" hspace="8" name="Object1" src="data:image/png;base64,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" width="169" /></span></div>
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<span style="font-family: inherit;">2. Sebuah mikroskop memiliki tabung dengan panjang 22 cm, fokus okuler 5 cm dan fokus objektif 6 cm. Jika mata tak berakomodasi, tentukan letak benda terhadap lensa objektif ! </span></div>
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<span style="font-family: inherit;">Penyelesaian: </span></div>
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<span style="font-family: inherit;">Diketahui: </span></div>
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<span style="font-family: inherit;">d = 22 cm </span></div>
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<span style="font-family: inherit;"><i>f</i><sub>ok </sub>= 5 cm </span></div>
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<span style="font-family: inherit;"><i>f</i><sub>ob </sub>= 6 cm </span></div>
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<span style="font-family: inherit;">Ditanya: </span></div>
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<span style="font-family: inherit;">s <sub>ob</sub>= ... ?</span></div>
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<span style="font-family: inherit;">d = s' <sub>ob</sub> +<i> f</i><sub><i> </i></sub><sub>ok</sub> → s'<sub>ob </sub>= d – <i>f</i><sub>ok</sub> = 22 – 5 = 17 cm</span></div>
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<span style="font-family: inherit;"><img height="43" hspace="8" name="Object2" src="data:image/png;base64,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" width="213" /></span></div>
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gold.roger3425http://www.blogger.com/profile/11241720279056588223noreply@blogger.com0tag:blogger.com,1999:blog-6629470753799285607.post-60188221646858653912016-05-31T13:40:00.000-07:002017-10-15T00:06:38.319-07:00Soal dan Pembahasan Hukum Newton tentang Gerak<div dir="ltr" style="text-align: left;" trbidi="on">
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<span style="font-family: inherit;">1. Jika suatu benda diberi gaya 20 N, benda tersebut memiliki percepatan 4 m/s<sup>2</sup>. Berapakah percepatan yang dialami benda tersebut jika diberi gaya 25 N? </span></div>
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<span style="font-family: inherit;">Penyelesaian: </span></div>
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<span style="font-family: inherit;">Pada kasus ini, massa benda (m) adalah tetap. Ketika diberi gaya F<sub>1 </sub>= 20 N, benda mengalami percepatan a<sub>1</sub> = 4 m/s<sup>2</sup>, sehingga massa benda:</span></div>
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<span style="font-family: inherit;"><img height="43" hspace="8" name="Object1" src="data:image/png;base64,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" width="149" /></span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">Pada saat diberi gaya F<sub>2</sub> sebesar 25 N, maka percepatan yang dialami benda menjadi:</span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;"><img height="43" hspace="8" name="Object2" src="data:image/png;base64,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" width="156" /></span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;"><br /></span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">2. Sebuah gaya F dikerjakan pada sebuah benda bermassa m, menghasilkan percepatan 10 m/s<sup>2</sup> . Jika gaya tersebut dikerjakan pada benda kedua dengan massa m <sub>2</sub> , percepatan yang dihasilkan 15 m/s<sup>2</sup> . </span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">Tentukan: </span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">a. perbandingan m <sub>1 </sub>dan m <sub>2</sub> , </span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">b. percepatan yang dihasilkan gaya F<sub> 1</sub> , apabila m<sub> 1 </sub>dan m<sub> 2 </sub>digabung! </span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">Penyelesaian: </span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">a. Gaya F pada benda I dengan massa m <sub>1 </sub>, menghasilkan percepatan </span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">a <sub>1</sub>= 10 m/s <sup>2</sup> , maka akan diperoleh:</span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;"><br /></span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;"><img height="43" hspace="8" name="Object3" src="data:image/png;base64,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" width="122" /></span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;"><br /></span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">Gaya F pada benda II dengan massa m <sub>2</sub> , menghasilkan percepatan a<sub> 2</sub> = 15 m/s<sup> 2</sup> , maka:</span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;"><br /></span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;"><img height="43" hspace="8" name="Object4" src="data:image/png;base64,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" width="122" /></span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;"><img height="38" hspace="8" name="Object5" src="data:image/png;base64,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" width="205" /></span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">b. Apabila massa digabung, maka:</span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;"><br /></span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;"><img height="38" hspace="8" name="Object6" src="data:image/png;base64,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" width="206" /></span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">Percepatan yang dihasilkan adalah:</span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;"><br /></span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;"><img height="58" hspace="8" name="Object7" src="data:image/png;base64,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" width="130" /></span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;"><br /></span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">3. Sebuah mobil bermassa 0,5 ton melaju dengan kecepatan 72 km/jam di atas jalan datar. Berapa gaya hambat yang dapat menghentikan mobil setelah menempuh jarak 1.000 m?</span></div>
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<span style="font-family: inherit;"><br /></span></div>
<div style="line-height: 150%; margin-bottom: 0in; text-align: center;">
<span style="font-family: inherit;"><img alt="Soal dan Pembahasan Hukum Newton tentang Gerak" border="0" height="89" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi_tZc3kwMY90x_-7HHwoBTuHhIB3jwa4N-8XOSIxi-nwRadaVRkkLwgUOtlC2RuBmgq967Fu7vm4MtqEZPMZas_4itDJ5tbphOm13H0UExMwpGz2eKYODUpGvR1LVL3ZZTyKNXNBYhFYo/s320/Contoh+Soal+Hukum+Newton+tentang+Gerak+-+001.png" title="Soal dan Pembahasan Hukum Newton tentang Gerak" width="320" /></span></div>
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<span style="font-family: inherit;"><br /></span></div>
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<span style="font-family: inherit;">v<sub>0 </sub>= 72 km/jam = 20 m/s </span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">v<sub>t </sub>= 0 </span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">s = jarak PQ = 1.000 m </span></div>
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<span style="font-family: inherit;">Sehingga, percepatan a diperoleh: </span></div>
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<span style="font-family: inherit;">v<sub>t</sub><sup>2</sup>= v 0 2 + 2.a.s </span></div>
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<span style="font-family: inherit;">0 = (20 m/s) 2 + 2.a (1.000 m)</span></div>
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<span style="font-family: inherit;"><br /></span></div>
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<span style="font-family: inherit;"><img height="38" hspace="8" name="Object8" src="data:image/png;base64,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" width="101" /></span></div>
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<span style="font-family: inherit;"><br /></span></div>
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<span style="font-family: inherit;">a = - 0,2 m/s<sup>2 </sup>(tanda (-) menunjukkan perlambatan)</span></div>
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<span style="font-family: inherit;"><br /></span></div>
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<span style="font-family: inherit;">Massa Mobil m = 0,5 ton = 400 kg, sehingga gaya hambat:</span></div>
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<span style="font-family: inherit;"><br /></span></div>
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<span style="font-family: inherit;">F = m . a = 500kg x 0,2 m/s<sup>2</sup> = 100 N</span></div>
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<span style="font-family: inherit;"><br /></span></div>
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<span style="font-family: inherit;">4. Sebuah benda dengan massa 300 kg berada pada suatu bidang miring, seperti yang terlihat pada gambar berikut ini.</span></div>
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<span style="font-family: inherit;"><br /></span></div>
<div style="line-height: 150%; margin-bottom: 0in; text-align: center;">
<span style="font-family: inherit;"><img alt="Soal dan Pembahasan Hukum Newton tentang Gerak" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgpHAdc5QgZrez7GzeThU0JiHOeGx7-Wb3YF_Euuo4a78a8IN4JLO6vWP4RUJCq2rdcZUFwNCIi2LqW_JO3KaAjmPjxKKHJSq10V2hi7ywdOJ8joAwiyWenvaQXoj7mDMehdLzrOGW68NY/s400/Contoh+Soal+Hukum+Newton+tentang+Gerak+-+002.png" title="Soal dan Pembahasan Hukum Newton tentang Gerak" /></span></div>
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<span style="font-family: inherit;"><br /></span></div>
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<span style="font-family: inherit;">Jika gaya gesek diabaikan, tentukan besar gaya yang menyebabkan benda bergerak ke bawah!</span></div>
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<span style="font-family: inherit;"><br /></span></div>
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<span style="font-family: inherit;">Penyelesaian: </span></div>
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<span style="font-family: inherit;"><br /></span></div>
<div style="line-height: 150%; margin-bottom: 0in; text-align: center;">
<span style="font-family: inherit;"><img alt="Soal dan Pembahasan Hukum Newton tentang Gerak" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi1IH5SYIxEFt0C0PnU6LkHFPUcvLoeltJUEzuMHWm2Epy6rIlPXOzs1rV1Y4is6PhucnL7taCaf6soRWtHJqyi8qhJVTxZOuApuPuOe5LwlVG72h1UqbJOD3lf4sv6NbjbML7ycKhSUaQ/s400/Contoh+Soal+Hukum+Newton+tentang+Gerak+-+003.png" title="Soal dan Pembahasan Hukum Newton tentang Gerak" /></span></div>
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<span style="font-family: inherit;"><br /></span></div>
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<span style="font-family: inherit;">Berdasarkan teorema Pythagoras: </span></div>
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<span style="font-family: inherit;">(BC)<sup>2</sup> = (AC)<sup> 2</sup> + (AB) <sup>2</sup> = (3 m) <sup>2 </sup>+ (4 m) <sup>2 </sup></span></div>
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<span style="font-family: inherit;"><br /></span></div>
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<span style="font-family: inherit;">(BC) <sup>2 </sup>= 25 m<sup> 2 </sup>= 5 m</span></div>
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<span style="font-family: inherit;"><br /></span></div>
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<span style="font-family: inherit;"><img height="38" hspace="8" name="Object9" src="data:image/png;base64,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" width="149" /></span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;"><br /></span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">Benda bergerak ke bawah karena adanya gaya berat m.g pada bidang miring BC, </span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">yaitu w sin θ , yang dinyatakan: </span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">w sin θ = m.g. sin θ = (300 kg)(9,8 m/s <sup>2</sup> )(0,6) = 1.764 N</span></div>
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<span style="font-family: inherit;"><br /></span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">5. Dua benda A dan B dengan massa masing-masing 5 kg dan 3 kg dihubungkan dengan sebuah katrol tanpa gesekan. Gaya P diberikan pada katrol dengan arah ke atas. Jika mula-mula kedua balok diam di atas lantai, berapakah percepatan balok A, apabila besar P adalah 60 N? (g = 10 m/s <sup>2</sup>) .</span></div>
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<span style="font-family: inherit;"><br /></span></div>
<div style="line-height: 150%; margin-bottom: 0in; text-align: center;">
<span style="font-family: inherit;"><img alt="Soal dan Pembahasan Hukum Newton tentang Gerak" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgWuLmFdmXPLedl_D_ZVBoHw7u4Cmsdw3rlEb3uPvjFu6b90GWrNY3D7EADH-7wjXkz8DCemBeSWrTKrFWz8gH1dLKp0VwIjUbHjr4kve2KwZVTpCFEdeU3znYzvC7GTqSqWFODnlhN4Pk/s400/Contoh+Soal+Hukum+Newton+tentang+Gerak+-+004.png" title="Soal dan Pembahasan Hukum Newton tentang Gerak" /></span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;"><br /></span></div>
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<span style="font-family: inherit;">Penyelesaian: </span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">m A .g = (5 kg)(10 m/s <sup>2</sup>) = 50 N </span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">m B .g= (3 kg)(10 m/s <sup>2</sup>) = 30 N </span></div>
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<span style="font-family: inherit;"><br /></span></div>
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<span style="font-family: inherit;">Pada sistem katrol tersebut berlaku:</span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">∑F = 0</span></div>
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<span style="font-family: inherit;">P - ∑F = 0</span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">∑F = P</span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">T = 1/2P</span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;"><br /></span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">Untuk balok A yang tepat akan bergerak, berlaku:</span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;"><br /></span></div>
<div style="line-height: 150%; margin-bottom: 0in; text-align: center;">
<span style="font-family: inherit;"><img alt="Soal dan Pembahasan Hukum Newton tentang Gerak" border="0" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhPR_QOFiiKskCOZ-NbX7ZLOXvRM62pWnxEFzOMXw5kND8agKy-blZQK587I6dGJggr8keC0MrLi7l0jCeLe9E6xlf_uXahWXddgcDhJKiRWdeQr9G-NYAI68lXTUXa_F27GT-5P9DhUYs/s320/Contoh+Soal+Hukum+Newton+tentang+Gerak+-+005.png" title="Soal dan Pembahasan Hukum Newton tentang Gerak" width="195" /></span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;"><br /></span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">∑F = 0</span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">T <sub>A min </sub>– m<sub>A</sub>. G = 0</span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">T <sub>A min </sub>= m<sub>A</sub>.g</span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">T <sub>A min</sub>= 50 N</span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">P = 60 N </span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">T = 1/2 P = 1/2 (60 N) = 30 N</span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">T = 30 N < T <sub>A min</sub>= 50 N</span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">jadi, balok A diam → a <sub>A</sub>= 0</span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;"><br /></span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">6. Dua buah balok A dan B dengan massa masing-masing 20 kg dan 5 kg, dihubungkan melalui sebuah katrol, seperti </span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">terlihat pada gambar di berikut.</span></div>
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<span style="font-family: inherit;"><br /></span></div>
<div style="line-height: 150%; margin-bottom: 0in; text-align: center;">
<span style="font-family: inherit;"><img alt="Soal dan Pembahasan Hukum Newton tentang Gerak" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi8rE0fB0wsWM18mypCzcv4m0T8uQhqJvRDlQUnMh3TIE8jT6yjcsdcorYVQARhs585s1bmWZLn_0xOVM-dgJzGtn477Xy25Drij-wfrlxD33wRUIJ3AHWTMyrSvpxpqNe_7wwKOxhvtTs/s400/Contoh+Soal+Hukum+Newton+tentang+Gerak+-+006.png" title="Soal dan Pembahasan Hukum Newton tentang Gerak" /></span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;"><br /></span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">Balok B mula-mula ditahan kemudian dilepaskan. Berapakah percepatan dan tegangan tali masing-masing balok? (g = 10 m/s 2 ) </span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">Penyelesaian:</span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;"><br /></span></div>
<div style="line-height: 150%; margin-bottom: 0in; text-align: center;">
<span style="font-family: inherit;"><img alt="Soal dan Pembahasan Hukum Newton tentang Gerak" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhoqIlQmFbeBtpoPtZRZ-8V9Z47B0lc_VbhQM4La6jrZ2J3SRiqJs7aDFXp8YMnEUhfPm3Y9U_J65wV6O15DB7_-Q0jkIEBJKbdNDKIIWCyli2MOAP-M69Mc-PR5Xl7HFQucWEl-8n_0Us/s400/Contoh+Soal+Hukum+Newton+tentang+Gerak+-+007.png" title="Soal dan Pembahasan Hukum Newton tentang Gerak" /></span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;"><br /></span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">Kita tinjau sistem A dan B:</span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">∑F = m . a</span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">T – T + m<sub>B</sub>. g = ( m<sub>A </sub>+ m<sub>B </sub>)a</span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;"><img height="43" hspace="8" name="Object10" src="data:image/png;base64,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" width="304" /></span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;"><br /></span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">Tegangan tali ditentukan dengan meninjau balok A: </span></div>
<br />
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">T = m <sub>A </sub>.a = (20 kg)(2 m/s <sup>2</sup>) = 40 N</span></div>
</div>
gold.roger3425http://www.blogger.com/profile/11241720279056588223noreply@blogger.com0tag:blogger.com,1999:blog-6629470753799285607.post-27470047015636672082016-05-31T13:36:00.000-07:002017-10-15T00:06:55.392-07:00Soal dan Pembahasan Gerak Melingkar Beraturan<div dir="ltr" style="text-align: left;" trbidi="on">
<div style="text-align: justify;">
<span style="font-family: inherit;">Jawablah Soal-soal berikut dengan baik dan benar!</span></div>
<div style="text-align: justify;">
<span style="font-family: inherit;">1. Sebuah benda bergerak melingkar beraturan dengan jari-jari 3 m. Dalam waktu 5 sekon, benda tersebut mampu menempuh 20 putaran. Tentukan: </span></div>
<div style="text-align: justify;">
<span style="font-family: inherit;">a. periode, </span></div>
<div style="text-align: justify;">
<span style="font-family: inherit;">c. kecepatan sudut, </span></div>
<div style="text-align: justify;">
<span style="font-family: inherit;">b. frekuensi, </span></div>
<div style="text-align: justify;">
<span style="font-family: inherit;">d. kelajuan linier! </span></div>
<div style="text-align: justify;">
<span style="font-family: inherit;">Penyelesaian:</span></div>
<div style="text-align: justify;">
<span style="font-family: inherit;"><br /></span></div>
<div style="font-weight: normal; line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;">Jari-jari R = 3 m, waktu t = 5 s, n = 20 putaran</span></div>
<div style="line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;"><br /></span></div>
<div style="font-weight: normal; line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;">a. Periode </span></div>
<div style="line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;"><br /></span></div>
<div style="font-weight: normal; line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;"><img height="38" hspace="8" name="Object1" src="data:image/png;base64,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" width="194" /></span></div>
<div style="line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;"><br /></span></div>
<div style="font-weight: normal; line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;">b. Frekuensi</span></div>
<div style="line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;"><br /></span></div>
<div style="line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;"><img height="38" hspace="8" name="Object2" src="data:image/png;base64,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" width="170" /></span></div>
<div style="font-weight: normal; line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;"><br /></span></div>
<div style="font-weight: normal; line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;">c. Kecepatan Sudut</span></div>
<div style="font-weight: normal; line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;"><br /></span></div>
<div style="font-weight: normal; line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;"><img height="38" hspace="8" name="Object3" src="data:image/png;base64,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" width="154" /></span></div>
<div style="font-weight: normal; line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;"><br /></span></div>
<div style="font-weight: normal; line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;">d. Kecepatan Linier</span></div>
<div style="font-weight: normal; line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;"><br /></span></div>
<div style="font-weight: normal; line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;"><i>v </i>= ω . R = (8π) (3) = 24 π m/s</span></div>
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<span style="font-family: inherit;"><br /></span></div>
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<span style="font-family: inherit;">2. Sebuah bola bermassa 60 gram diikat dengan seutas tali yang panjangnya 1 meter, kemudian diputar horizontal. Dalam waktu 20 sekon terjadi 50 putaran. Berapakah: (a) kelajuan linier, (b) percepatan sentripetal, (c) tegangan tali? </span></div>
<div style="font-weight: normal; line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;">Penyelesaian: </span></div>
<div style="font-weight: normal; line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;">Massa bola m = 60 gram = 0,06 kg, jari-jari R = 1 m, sehingga:</span></div>
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<span style="font-family: inherit;"><br /></span></div>
<div style="font-weight: normal; line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;"><img height="38" hspace="8" name="Object4" src="data:image/png;base64,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" width="212" /></span></div>
<div style="font-weight: normal; line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;"><br /></span></div>
<div style="font-weight: normal; line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;">a. Kelajuan Linier</span></div>
<div style="font-weight: normal; line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;"><img height="39" hspace="8" name="Object5" src="data:image/png;base64,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" width="206" /></span></div>
<div style="font-weight: normal; line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;"><br /></span></div>
<div style="font-weight: normal; line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;">b. Percepatan sentripetal</span></div>
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<span style="font-family: inherit;"><img height="41" hspace="8" name="Object6" src="data:image/png;base64,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" width="228" /></span></div>
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<span style="font-family: inherit;">c. Tegangan tali = gaya sentripetal</span></div>
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<span style="font-family: inherit;"><img height="22" hspace="8" name="Object7" src="data:image/png;base64,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" width="287" /></span></div>
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<span style="font-family: inherit;">3. Dua buah roda sebuah sepeda motor mempunyai jari-jari 20 cm. Sepeda motor tersebut bergerak dengan kelajuan 90 km/jam. </span></div>
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<span style="font-family: inherit;">a. Berapakah kecepatan sudut roda sepeda motor tersebut? </span></div>
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<span style="font-family: inherit;">b. Berapakah kelajuannya, jika roda diganti roda lain yang berdiameter 80 cm? </span></div>
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<span style="font-family: inherit;">Penyelesaian: </span></div>
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<span style="font-family: inherit;">Dalam kasus ini ditinjau dari satu roda saja. </span></div>
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<span style="font-family: inherit;">a. Jari-jari roda </span></div>
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<span style="font-family: inherit;">R<sub>1 </sub>= 20 cm = 0,2 m </span></div>
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<span style="font-family: inherit;">Kelajuan linier</span></div>
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<span style="font-family: inherit;">v<sub>1</sub>= 90 km/jam = 25 m/s</span></div>
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<span style="font-family: inherit;">Kecepatan sudut, ω<sub>1 </sub>= <img height="43" hspace="8" name="Object8" src="data:image/png;base64,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" width="163" /></span></div>
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<span style="font-family: inherit;">b. Jari-jari roda diganti, R<sub>2</sub>= d/2 = 80cm/2 = 40 cm, dengan kecepatan sudut yang sama, ω<sub>1 </sub>= ω<sub>2</sub>= 125 rad/s, kelajuan linier, v<sub>2</sub>= ω<sub>2</sub>. R<sub> 2</sub>= (125 rad/s)(0,4 m) = 50 m/s</span></div>
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<span style="font-family: inherit;"><img height="78" hspace="8" name="Object9" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAU4AAABOCAIAAADARmiKAAAQM0lEQVR4nO2df1AU5R/Ht8AUhEQNsFJIQRmhNLWEVArBTDNLLLOm/JaiEpiV9GPSGZKCEaPUKBubIE3PsqSfCkdNpFmKUzr8KMpMKUOC4gRGMEw68ftun747973bhd292zv29vP642b3YW/vuc/t+3k+z977PvheuHCBIwjC2/H1dAcIgnAHJHWCMATGlXpra+vWrVsfe+wxT3eEINyBEaVutVo3bdr0wgsvdHZ2ktQJg2BEqZeXl99www0ZGRlr1671dF8Iwk0YUeo33ngjHvfv3+/pjhCE+zCi1AnCgJDUCcIQkNQJwhCQ1AnCEJDUFdDS0tLR0dGvX7/LLrvM030hCGWQ1BXw008/LVmyZMKECW+++aan+0IQyjCi1MvKyvbs2fPFF1+0tbU9+uijQ4YMeeKJJ/r06dPjE+Pi4jo7O8eMGeOGThKEazGi1KfxqHji2bNnjx8/fs0117i8SwShNUaUump++OGHrq4uNqsXFRWdP3/++uuvP3ToEHbnzp27b9++8vLyhQsXhoWFFRcXV1ZWpqamhoSEeLrXBPEPJHUFfPvtt8HBwaGhodjetWvX9OnTr7rqqgMHDjz00ENHjx696KKLoPDDhw9jLOjfv/9bb731yy+/bN682dO9Joh/IKkr4LvvvoOML1y4gLX9PffcM2vWLDRaLBa03HrrrZjhMc+vX79+zZo1SPLr6+t/++03T3eZIP7FO6WOCda1J2S1ejCrx8TELF68eOjQoUznHK9/bEPn2D5y5Mgdd9zBFvM//vjjdddd59puEIRqvFPqGgFVY6IeP378jh07Vq9effHFF3O8/u+8807hAAwEwvaDDz7oqa4ShB3eKXUtCub98ccfTU1N27dvnzBhQlhY2AcffHDXXXchY8dMzqbxv/7669ixY2z7999/P3Xq1NVXX+3ybhCEOrxT6lqAWRrT+KRJk/r3779w4cLnn38eUoe2oXAmaWgeymfb7ODo6GhP95og/oWkLheod8SIEdA5tjMyMkaOHLlq1apx48ahZfjw4eyAQYMGXXHFFWzb39//nXfeoRxeDuQ4dgPeL3XRGnL79u177733kOfffffdrFJF9+1gBQ/bhratVivbnjdvHtv4Dw/bzuDR6B1pTVFRUWVlZXt7e2ho6MyZM7FgET0M6YzJZKqpqfHz80Muc//997N2FbElx7Eb8GapS9WQ27FjBxo/+eSTs2fPTp8+/bnnnps/f3437UYjNzc3Pz8/KiqqoqIiMTExLy8vNTXV7hjMwwkJCQsWLEBqU19fn56ezqSuLrbkOHYD3ix10RpymFWeeuoprLSZj+3JJ5/ELuYZbIu2u/x7u94PBBwfH4+NGTNmJCcnY7h0lPrKlSsjIiIQJWxj8od0OSdiS45jN+DNUhetIYdVNGYhrLHZbmxsbF1dHbJQXKai7Qa8/oR1Cujbt+/58+ftDmCpe0FBgdByyy23cE7ElhzHbsCbpS4KloV4FC4U5nI9duwYLjXRdgNKXaChocFsNmdmZtq1Q9KYh5HhNzY2YjZGrEaNGsU5EVtyHLsBw0m9vb0dj5dccgnb7devHx7b2trYV/GO7Z7ppafZs2dPdnZ2VVUVZnjBFCRgsVjwiFnd398/ICBg586dECEeVceWHMduwHBSZ79L7+zsZLvIRVkjuxwd2z3TS0+TyNPa2gqdJyUllZWV+fj4CH9l21hyR0ZGcvzaHjN8SUmJ6tiS49gNGE7ql19+OR7//PPPwYMHY+PMmTN4HDJkCPurVLsxGThwYE5OTnR09N69e21/4c+8A83NzUzqyN4xvVdXV8fFxXGqYkuOYzdgOKnjesKkhMVeWFgYdrHUxIU1btw4LAhF2z3dX3fT1NTU0dGBpTLbDQwM5Hhvgu0xo0ePxihQU1MTGxvLWqxWK1rUxdYLHMfOW4CysrIwmE6ZMsW1HbNFW6ljkK6trRV28VnOnDmTbXdjqNAUXJFz587dvXv3TTfdxPH3e7E7aNAgjr/ZK9req9A6pFgJIwiYWtluaWlpUFAQO9vLL7+Mx0ceecTX1zctLc1kMqWkpKAF83lXVxeuVHWx9aDj2NFeheihewcOHMBGfHw8eiJ8I6idBQjvNC8v74EHHrBrP3jw4P79+9k3ms6jrdRxNbC7r4wBAwawDfeYVaRqyL366qv4tJYvX45Xx1Tz7rvvsuOl2nsVWocUct2yZQtGk/Dw8Lq6OsgMEmX3xjdu3IiXhtQ5fhZaunTpnDlzsMbGcFBYWMhuwquIrUccx1L2Klwnhw4d+vjjj3HA7bffDqXl5+dzGluAMIgMGzaMvVlbdu3aVVBQsGLFCoyt6s5si7ZSxwBsNpvtGqWMFi43q0jVkAsODsbis6GhAVklu4i7b+9VaB1SXHAnTpywWCwYH3E2lsAzvvrqK2EbIyZGBBxz+vTp7OxstrrmVMXWI45jKXvVG2+88dJLL7EwYqJGxzZs2IAwamoBwgjCjAl2rFmz5plnnnGJzjk7qePDwMJp8uTJGGOwi+ENAzByGOGDFDhz5gzem+gZ8f7Hjh3bzUtKGS2ESOHkxcXFGLwxrGL38OHDJ0+eTE5OVvUGJWGzhPx2rdEupCriGcxj1+g4/F3K4/h0D8ZWZhhF7VVYJmByFr4a6Nu377lz5/7++++jR49qagGC1NetW2fXWwzoGEmjoqKE12XnwViJxsjISKRCyD5kvgRnJ/Vrr70WQ92iRYswaHH8LdN777131qxZLLmy5fvvv3c0S/57Rl9fXEzCLga8U6dOIQETTiJltBACFxAQMHjwYKRJiCbyQ1yXSP9cLvXehnYhNVQ85YdR9ACsC7Agv++++yDdt99+G+tnCL7HK9YZC9Cvv/6K3YSEBLvOYFGA4x9//HFIHZ84lIhzIsuoqqrCugmDlJ+fHwYm+S6j/5M61mmTJk2qqKhgu83NzchSHHXO8QMbXrKbqDEwdixbtgwXJXJCfAZ5eXmzZ8+WMlrYPvHmm2+eMmUKVlNYO23btg0jZY+vpXc0Dalx4ikzjFJgMYLZDkHGZA4hbd26lZO2XQnPcsYChCk9Pj4eOZddT6DkxsZGlingU8OrY2WB7Z9//hmPbJRR5DKyXwZMnDiR5RIY1TZu3Lh9+3bVUQM5OTnCNpZ2iAKSKymjhd1z8fZSUlLwZhBu0SzRmKgOKcWzRxDAxMTE5cuXs9sBzz777LRp0zBw9BheZyxAUgt1jOPQIJ6CxUJhYeE333wjvFZ4eDj7BBW5jESkXltbixELFwRyvCuvvFI0KJjw2VLEESzskcA4tmNi6ejowLO6N7EIIO3EMZMnT7a7Lr3vp2bMTKZ1SKXiyXlRSBFJFWEU+OyzzyAY4d4+cuOsrKzPP/+8x/CqtgBZrVbmQXbsDJ4ewlNQUIBhRagaUF1dLdzqV+Qyspc6zoLFidls/uijj/DOWSPWKh9++CHyloiIiNtuu43jv33FnC8aLx8fHxZQpEBYHAo3FdgPpJCWSBktbE/y/vvvI8SYwV555ZWHH37Y8b6g96FpSI0TTzlhlALjJve//BywpBrCTkpK0sgCVF5eHhgYKOoIYosCdn6srIXhGFJnTgqlLiN7qfv6+uI9pKenl5WVCRcE3ltqampQUBCmEbwZ9GDs2LHFxcXdRI11Ze3atcI3qBg+BgwYgGQD5+nerGIymb788svXX3+9paUFw2pJSQmWo8JftSgR2RvQLqTdx5PzrpDKCaMU0Cqu/4qKCuZaO3jwIFbIyIS7sQZxzlmApLJ3zkbqSNcxlCCfxxph27ZtkDq7a67UZSTyld1EHkwUQgvW/WwjNDQUA4bMwGF0RLDmz58/cuTIkydPItnAZ4CLkuvWUIFRedGiRZ9++imGMeRLeHpmZiaSz6lTp8p8XS9GRUgpnqKI2qtGjBiBARF5O6ZNKKe0tHTz5s3MI6yRBQhSf/rpp0V7iCNZYZ958+YhF4uLi4OS8VGiY8gF0BkcoMhlJCJ1LDaQEzq24002Njay+iQyqaurw4DU3t6O1Y7tPcZuDBVDhw5FmirsslugrkK0zpy+UBpSRfHsMT5K68bJ9Oq61gEqByl7FaZlKAQ5MCbG9evXC+0aWYAKCwtFTb5sUcBurWF8//rrr/G5Q8lYtC9ZskQ4vyKXkYjUka44NnZ1dWVnZ7/22mtKf9fJbi2I/smdZhUpI6Qe0SKkcuKjtG6cfK+uax2gToL0h92Hc8TlV6xt7sxAsjZs2DAMfFgpC+ttdAlpvJOvJSuy586dw2e2bNkyqRvyvR9RIyQh0GN8lNaNk2oXvdvvWgeorsnNzZ09e/aLL74Ixbn2zLKCi/ncbDZjeYPttLQ0PdZRFTVCEgI9xkdp3Tj5tfpc7gDVNYsXL0aokdjHxMS49syypJ7D49oXJvSF0rpx8mv1udwBqmvG82hxZkqZCFkorRsnv1afyx2ghCgkdUIWSuvGya/V53IHKCEKSZ2QhbqafHJq9bncAUqIQlInZKG0bpz8Wn0ud4ASopDUncL93g83I9STU1E3TmatPpc7QAlRjCJ1qTpzTp62V3k/nEEqPrb15JTWjZNZq8/lDlBCFH1foPKRMkI6idd4P6TiY1tPTmndODm1+rRwgBKi6P4a9SBG8H44SlRp3Tipdu0coIQoJHX1kPfDGbRzgBKikNTVQ94PZ9DOAUqIQlJXD3k/nEE7Byghil6l7pFyaHbVWsj7QegIvUq9N0DeD0JH6FXqvaEcGnk/CB2hV6n3Bsj7QegIfUu9qKiosrKyvb09NDQUObOwWrYDU6vJZKqpqfHz84MamT455yqikfeD0Bf6lnpubm5+fn5UVFRFRUViYmJeXp7j/+tqaWlJSEhYsGDBqlWr6uvr09PTmdRVV0Qj7wehR/QtdQiYVbCdMWNGcnLypk2bHKW+cuXKiIgI9osUTP6QLqe8UprtDX/yfhB6RN9SF4rycvy/yGX/7cQWlroXFBQILazCvtJKabZlksj7QegRfUtdoKGhwWw2Z2Zm2rVDk8jDkeE3NjYeP34cs/qoUaM45ZXSbKVO3g9Cj+he6uy/21VVVWGGFwwqAhaLBY+Y1f39/QMCAnbu3DlmzBg8Kq2U5q53QxBaoXupJ/K0trZC50lJSWVlZT4+PsJf2TaW3JGRkRy/tscMX1JSorRSmlvfEkFogO6lzhg4cGBOTk50dPTevXttf3fNvsdubm5mUkf2jum9uro6Li6Oc64iGkHoCx1LvampqaOjg/33PBAYGMjx/3XM9pjRo0djFKipqYmNjWUtVqsVLUorpbnzfRGEFuhY6vX19bt37169ejXbLS0tDQoKYo4XoSKar69vWlqayWRKSUnheHd6V1cXpn0VldIIQtfoWOqQ65YtW2pra8PDw+vq6o4cOQKJsnvmthXRsrKyli5dOmfOnJiYGAwHhYWF7Ca8kxXRCEJf6Fjqw4cPP3HihMViaWtrCwkJYQk8w7YiWp8+fTAi4JjTp09nZ2cjIWftzlREIwjdoWOpM4J57BodJXopj+PTlVZEIwidonupEwQhB5I6QRiC/wKdTJbfMlyD/gAAAABJRU5ErkJggg==" width="334" /></span></div>
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<span style="font-family: inherit;">2. Dua buah roda dihubungkan dengan rantai. Roda yang lebih kecil dengan jari-jari 8 cm diputar pada 100 rad/s. Berapakah kelajuan linier kedua roda tersebut? Jika jari-jari roda yang lebih besar 15 cm, berapa rpm roda tersebut akan berputar? </span></div>
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<span style="font-family: inherit;">Penyelesaian:</span></div>
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<span style="font-family: inherit;"><img alt="Soal dan Pembahasan Gerak Melingkar Beraturan" border="0" height="113" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgXqZb0gM5EexYRLiONjv2pNi5OrpM4cuqtNOMRm7lV6OaIQlqY8JaWZZaSmGrlqVnPT742gaTik_E-54MAVA4y3zOnDffEiOZyi-y8JNVDV1RuU253LEvjYEc3WOWo0yujkfEbc1HAB6U/s320/contoh+soal+gerak+melingkar+beraturan.png" title="Soal dan Pembahasan Gerak Melingkar Beraturan" width="320" /></span></div>
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<span style="font-family: inherit;">R<sub>1 </sub>= 8 cm = 0,08 m </span></div>
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<span style="font-family: inherit;">R<sub>2 </sub>= 15 cm = 0,15 m </span></div>
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<span style="font-family: inherit;">ω<sub>1</sub>= 100 rad/s</span></div>
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<span style="font-family: inherit;">Dua roda yang dihubungkan memiliki kelajuan linier sama besar. Jadi, laju kedua roda tersebut adalah v<sub>1</sub>= v<sub>2</sub>. </span></div>
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<span style="font-family: inherit;">Kelajuan linier roda I </span></div>
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<span style="font-family: inherit;">v <sub>1</sub>= ω<sub> 1 </sub>. R<sub> 1 </sub>= (100 rad/s)(0,08 m) = 8 m/s </span></div>
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<span style="font-family: inherit;">Kelajuan linier roda II </span></div>
<div style="font-weight: normal; line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;">v <sub>2 </sub>= v<sub>1 </sub>= 8 m/s </span></div>
<div style="font-weight: normal; line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;">v <sub>2</sub>= ω<sub> 2 </sub>. R <sub>2 </sub></span></div>
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<span style="font-family: inherit;"><br /></span></div>
<div style="font-weight: normal; line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;">Maka kecepatan angulernya,</span></div>
<div style="font-weight: normal; line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;"><br /></span></div>
<div style="font-weight: normal; line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;"><img height="43" hspace="8" name="Object10" src="data:image/png;base64,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" width="57" /></span></div>
<div style="font-weight: normal; line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;"><br /></span></div>
<div style="font-weight: normal; line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;">dimana ω = 2 π <i>f</i></span></div>
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<span style="font-family: inherit;"><br /></span></div>
<div style="font-weight: normal; line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;">Banyaknya putaran yang dialami roda II merupakan frekuensi, jadi:</span></div>
<div style="font-weight: normal; line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;"><br /></span></div>
<div style="font-weight: normal; line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;"><img height="43" hspace="8" name="Object11" src="data:image/png;base64,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" width="69" /></span></div>
<div style="font-weight: normal; line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;"><img height="43" hspace="8" name="Object12" src="data:image/png;base64,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" width="252" /></span></div>
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<span style="font-family: inherit;"><br /></span></div>
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<span style="font-family: inherit;"><img height="58" hspace="8" name="Object13" 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<span style="font-family: inherit;">Demikianlah Contoh Soal tentang Gerak Melingkar Beraturan ini saya sampaikan, semoga bermanfaat.</span></div>
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gold.roger3425http://www.blogger.com/profile/11241720279056588223noreply@blogger.com0tag:blogger.com,1999:blog-6629470753799285607.post-10878204044230684422016-05-29T13:47:00.000-07:002017-10-15T00:07:10.351-07:00Soal dan Pembahasan Usaha - Fisika Dasar<div dir="ltr" style="text-align: left;" trbidi="on">
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<span style="font-family: inherit;">Jawablah Soal tentang Usaha berikut dengan baik dan benar!</span></div>
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<span style="font-family: inherit;">1. Sebuah benda bermassa m terletak pada bidang datar licin dan pada benda bekerja gaya F = 5 newton yang searah bidang tersebut. Akibat gaya tersebut, benda dapat berpindah dari A melalui B terus ke kanan (lihat gambar). Berapakah usaha yang dilakukan oleh gaya F dari A ke B, jika jarak AB = 4 meter?</span></div>
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<span style="font-family: inherit;"><img alt="Soal dan Pembahasan Usaha - Fisika Dasar" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgM2t_ywTjHEsu4qExcZJR9z37hx2jhRWoqfjXqvCbcNEsBDJIm7l8_vFTQm83e5SwtswZA2-FdfNJF5Rsa4H68Ggq4-aZtHV_QOF5jLSzThYOMQ2dVYYmjU1p-Et4Z0z-tacxhyphenhyphenWoHH6c/s400/Contoh+Soal+Usaha+dan+Energi+-+001.png" title="Soal dan Pembahasan Usaha - Fisika Dasar" /></span></div>
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<span style="font-family: inherit;">Jawab: </span></div>
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<span style="font-family: inherit;">Pada benda bekerja beberapa gaya yaitu gaya berat mg gaya normal N (N = mg) dan gaya <b>F</b> (lihat gambar). Akibat gaya <b>F</b> benda bergerak, dan arah perpindahannya dari A ke B. Pertanyaannya adalah usaha oleh gaya F dari A ke B</span></div>
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<span style="font-family: inherit;">Usaha : </span></div>
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<span style="font-family: inherit;"> W = <b>F</b><sub>s</sub> . s </span></div>
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<span style="font-family: inherit;">Dengan <b>F</b><sub>s</sub> adalah komponen gaya pada arah perpindahan, dengan demikian <b>F</b><sub>s</sub> = <b>F</b> = 5 newton. Maka besar usaha oleh gaya <b>F</b> untuk bergerak dari A ke B </span></div>
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<span style="font-family: inherit;"> W = 5 newton . 4 newton </span></div>
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<span style="font-family: inherit;"> = 20 newton . meter </span></div>
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<span style="font-family: inherit;"> = 20 joule </span></div>
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<span style="font-family: inherit;">Dengan menggunankan rumus : </span></div>
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<span style="font-family: inherit;"> W = F s cos α </span></div>
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<span style="font-family: inherit;">Kerena gaya yang melakukan usaha (F) searah dengan vektor perpindahannya, maka sudut yang dibentuk antara kedua vektor 0° dengan demikian maka besar usaha tersebut :</span></div>
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<span style="font-family: inherit;"> W = F s cos α </span></div>
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<span style="font-family: inherit;"> W = 5 newton . 4 meter . cos 0° </span></div>
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<span style="font-family: inherit;"> = newton . 4 meter . 1 </span></div>
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<span style="font-family: inherit;"> = 20 newton . meter </span></div>
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<span style="font-family: inherit;"> = 20 joule</span></div>
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<span style="font-family: inherit;">2. Sebuah benda bermassa m terletak pada bidang datar licin pada benda bekerja gaya <b>F</b> = 5 newton yang membentuk sudut α = 60° terhadap arah perpindahan. Akibat gaya tersebut, benda dapat berpindah dari A melalui B terus ke kanan (lihat gambar). Berapakah usaha yang dilakukan oleh gaya F dari A ke B, jika jarak AB = 4 meter?</span></div>
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<span style="font-family: inherit;"><img alt="Soal dan Pembahasan Usaha - Fisika Dasar" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgRvaLwg21t86ieJ1dMNVdvl7NCsR2o_XE8L8ZgFgWFLRcIljo7blkzFNRcYJBP81Kkn7SpKOnCJ6pRqc7oNWBBfFQdHlm0RSRlqeeLsjBh65KFwBpOLJtaQk275RyRYhZweRZbmQobm3c/s400/Contoh+Soal+Usaha+dan+Energi+-+002.png" title="Soal dan Pembahasan Usaha - Fisika Dasar" /></span></div>
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<span style="font-family: inherit;">Jawab:</span></div>
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<span style="font-family: inherit;">Dengan menggunakan : </span></div>
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<span style="font-family: inherit;"> W = F s cos α </span></div>
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<span style="font-family: inherit;"> = 5 newton . 4 m . cos 60<sup>o </sup></span></div>
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<span style="font-family: inherit;"> = 20 newton . meter . 0,5 </span></div>
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<span style="font-family: inherit;"> = 10 joule</span></div>
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<span style="font-family: inherit;">3. Apabila kita mendorong sebuah mobil dengan gaya <b>F</b>, tetapi mobil tersebut tidak bergerak (artinya tidak ada perpindahan), maka menurut fisika, gaya tersebut tidak melakukan usaha pada benda dengan kata lain, usaha yang dilakukan gaya dorong orang tersebut terhadap mobil sama dengan nol.</span></div>
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<span style="font-family: inherit;">Jawab:</span></div>
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<span style="font-family: inherit;"><img alt="Soal dan Pembahasan Usaha - Fisika Dasar" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjqPal2Rl7fYT_EL7zu9xQ4-gX5IJs-ywAtw61fps-0vPEgvakEeNMEHKhAQcC3djlplaf_IhFvkhhUlbODSYGvKwT62IhrGFd2I_q9TSMWQRtiKkbCWMlVB3sa8EpiQunuo-vdd35rngw/s400/Contoh+Soal+Usaha+dan+Energi+-+003.png" title="Soal dan Pembahasan Usaha - Fisika Dasar" /></span></div>
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<span style="font-family: inherit;">Jika sebuah benda diam di atas sebuah meja. Pada benda ada gaya berat dan juga gaya normal. Gaya normal maupun gaya berat tidak menyebabkan perpindahan, oleh karenanya usaha oleh gaya tersebut sama dengan nol</span></div>
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<span style="font-family: inherit;">4. Benda dengan massa 5 kg berada pada bidang datar dikenai gaya sebesar 60 newton. Gaya tersebut membentuk sudut 37° dengan arah horisontal (lihat gambar). Pada keadaan gerak, benda mengalami gaya friksi 5 newton dengan arah melawan gerak. Setelah beberapa saat, benda menempuh jarak 10 meter. Jika percepatan gravitasi g = 9,8 m/s<sup>2 </sup></span></div>
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<span style="font-family: inherit;"><img alt="Soal dan Pembahasan Usaha - Fisika Dasar" border="0" height="154" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEglBVgTBp2u4wSMK8Tfe0mUjHq9Hdo_xlGNdxmpbVKr4XCOqMgN-EQUfL3fa6OuKeeDaOenBZ6WaZZbUBKALXzfFS2ANr-itu9ymjbxu4SNaZPVeLZo57Rh5ogdDeULWpS6j5crhWGCSWs/s320/Contoh+Soal+Usaha+dan+Energi+-+004.png" title="Soal dan Pembahasan Usaha - Fisika Dasar" width="320" /></span></div>
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<span style="font-family: inherit;">Benda bermassa m ditarik dengan gaya F membentuk sudut 37° dan mengalami gaya gesek </span><span style="font-family: inherit; line-height: 150%;">maka :</span></div>
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<span style="font-family: inherit;">a. Gambarkan gaya-gaya yang bekerja pada benda </span></div>
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<span style="font-family: inherit;">b. Usaha yang dilakukan oleh masing-masing gaya</span></div>
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<span style="font-family: inherit;">c. Usaha yang dilakukan oleh sistem gaya-gaya</span></div>
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<span style="font-family: inherit;">Jawab :</span></div>
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<span style="font-family: inherit;">a. Gaya- gaya yang bekerja pada benda gaya berat (F<sub>W</sub>), gaya normal (F<sub>N</sub>), gaya gesek (f<sub>s</sub>)</span></div>
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<span style="font-family: inherit;">W = mg = 5 kg x 9,8 m/s<sup>2 </sup>= 49 newton</span></div>
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<span style="font-family: inherit;">F = 60 newton</span></div>
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<span style="font-family: inherit;">F<sub>x </sub>= F cos 37° = 60 . (0,8) = 48 newton</span></div>
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<span style="font-family: inherit;">F<sub>y</sub>= F sin 37° = 60 . (0.6) = 36 newton</span></div>
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<span style="font-family: inherit;">f <sub>s</sub>= 5 newton</span></div>
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<span style="font-family: inherit;">Karena F<sub>x</sub> > f<sub>s</sub> , maka benda dapat bergerak ke kanan. Jika F<sub>y</sub> lebih kecil dari W, maka benda masih menyentuh lantai (N > 0). Jika F<sub>y</sub> sama dengan W, maka benda tepat tidak menyentuh lantai (N = 0). Jika F<sub>y </sub>lebih besar dari W, maka benda bergerak lepas dari lantai (N < 0). Pada kasus di atas F<sub>y</sub> < W, oleh karena itu benda masih menyentuh lantai/ menekan lantai</span></div>
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<span style="font-family: inherit;">N + F<sub>y </sub>=<sub> </sub>W</span></div>
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<span style="font-family: inherit;">N = W – F<sub>y </sub> = 49 newton – 36 newton = 13 newton</span></div>
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<span style="font-family: inherit;">b. Usaha oleh masing-masing gaya</span></div>
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<span style="font-family: inherit;">Usaha mempunyai rumus umum W = F s cos α</span></div>
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<span style="font-family: inherit;">- Usaha oleh gaya normal N</span></div>
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<span style="font-family: inherit;">W<sub>N</sub>= N . s cos α = 13 newton x 10 meter x cos 90°</span></div>
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<span style="font-family: inherit;">W<sub>N</sub> = 13 newton x 10 meter x 0 = 0 joule</span></div>
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<span style="font-family: inherit;">- Usaha oleh gaya F<sub>y</sub></span></div>
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<span style="font-family: inherit;">W<sub>Fy</sub>= F<sub>y</sub> s cos α = 36 newton x 10 meter x cos 90°</span></div>
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<span style="font-family: inherit;">W<sub>Fy </sub> =<sub> </sub>36 newton x 10 meter x 0 = 0 joule</span></div>
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<span style="font-family: inherit;">- Usaha oleh gaya berat benda W<sub>B</sub></span></div>
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<span style="font-family: inherit;">W<sub>B </sub>= W s cos α = 36 newton x 10 meter x cos 90°</span></div>
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<span style="font-family: inherit;">W<sub>B </sub> = 36 newton x 10 meter x 0 = = 0 joule</span></div>
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<span style="font-family: inherit;">- Usaha oleh gaya F<sub>x</sub></span></div>
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<span style="font-family: inherit;">W<sub>Fx </sub>= F<sub>x </sub>s cos α = 48 newton x 10 meter x cos 0°</span></div>
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<span style="font-family: inherit;">W<sub>Fx </sub>= 480 newton meter x 1 = 480 joule</span></div>
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<span style="font-family: inherit;">Usaha oleh gaya friksi f<sub>s</sub></span></div>
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<span style="font-family: inherit;">W<sub>f </sub>= f<sub>s</sub> . s cos α = 5 newton x 10 meter x cos 180°</span></div>
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<span style="font-family: inherit;">W<sub>f </sub>= 50 newton meter x (-1) = -50 joule</span></div>
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<span style="font-family: inherit;">c. Usaha yang dilakukan oleh sistem gaya-gaya</span></div>
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<span style="font-family: inherit;">Usaha yang dilakukan oleh sistem gaya-gaya, merupakan jumlah skalar dari semua usaha gaya-gaya yang ada.</span></div>
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<span style="font-family: inherit;">Usaha oleh sistem gaya-gaya</span></div>
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<span style="font-family: inherit;">W = W<sub>N</sub> + W<sub>Fy</sub> + W<sub>B </sub>+ W<sub>Fx</sub> + W<sub>f </sub>= 0 + 0 + 0 + 480j + -50j</span></div>
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<span style="font-family: inherit;">W = 430 joule</span></div>
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<span style="font-family: inherit;">Usaha ini dapat dicari dengan cara mencari resultan gaya-gayanya terlebih dahulu, yaitu jumlah gaya-gaya pada arah vertikal sama dengan nol.</span></div>
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<span style="font-family: inherit;">Jumlah gaya-gaya pada arah horisontal</span></div>
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<span style="font-family: inherit;">∑F = F x – f = 48 newton – 5 newton</span></div>
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<span style="font-family: inherit;">∑F = 43 newton, arahnya searah perpindahan</span></div>
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<span style="font-family: inherit;">W = ∑F . s cos α = 430 newton x 10 newton x cos 0°</span></div>
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gold.roger3425http://www.blogger.com/profile/11241720279056588223noreply@blogger.com0tag:blogger.com,1999:blog-6629470753799285607.post-35699584328580215522016-05-29T13:35:00.000-07:002017-10-15T00:07:25.608-07:00Soal dan Pembahasan Gerak Lurus - Fisika Dasar<div dir="ltr" style="text-align: left;" trbidi="on">
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<span style="font-family: inherit;">Jawablah Soal tentang Gerak Lurus berikut ini dengan baik dan benar!</span></div>
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<span style="font-family: inherit;">1. Rena berjalan ke Timur sejauh 80 m, kemudian berbalik arah ke Barat menempuh jarak 50 m. Perjalanan tersebut memerlukan waktu 50 s. Berapakah kelajuan rata-rata dan kecepatan rata-rata Rena dalam perjalanannya?</span><br />
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<span style="font-family: inherit;"><img alt="Soal dan Pembahasan Gerak Lurus - Fisika Dasar" border="0" height="137" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgWB9Bl32PneE0k728a8MLc8cg4RC3_3XvIUGk-zsZn2mEOf8Lm3cKUzkor42gFv3bcRT3EAbqGoe5Dls4IsrZwJYEex4LYwie_0nI___fCb0IYqz2h47wI3ZxurQhK5qriTIfzt3N7xWo/s320/contoh+soal+gerak+lurus+-+001.png" title="Soal dan Pembahasan Gerak Lurus - Fisika Dasar" width="320" /></span></div>
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<span style="font-family: inherit;">Penyelesaian: </span></div>
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<span style="font-family: inherit;">Jarak total = AB + BC = 80 m + 50 m = 130 m</span></div>
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<span style="font-family: inherit;">Perpindahan = AB – BC = AB – BC = 80 m – 50 m = 30 m</span></div>
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<span style="font-family: inherit;">Kelajuan rata-rata = <img height="38" hspace="8" name="Object1" src="data:image/png;base64,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" width="214" /></span></div>
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<span style="font-family: inherit;">Kecepatan rata-rata =<img height="38" hspace="8" name="Object2" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMkAAAAmCAIAAADhtigFAAAODElEQVR4nO2cd2wVxxPHD3BC7zElEHqzKaF3AwLTe3NMMwQChCYEKaKIIsC0JHboQiBAFNFNtUmoigg4hBJCCzX0XhxCCB1+H938sjreu7t3Ns/PBnn+eFr2ze3Ozn53Zvbd1/i9evVKS5EUSQTxS2oDUuSdlbcDWw8ePLh//z6NfPnypUqVylTnn3/++euvv95///1cuXL51roUMZckw9bWrVvPnz/ft29fJ8rXrl2bNGnShg0b4uLirHRu3rzZo0ePjBkz/vDDD94zM+ll9erVv/32G6crd+7cTZs2rVSpkvrqp59+WrNmDVVNSEhInTp1ktBIU0kybC1fvjw2NtYhtkqWLIlny5Yta6NTtGjRNGnSlCtXzksGJhfhUE2bNg0PHDp0qH79+lOnThWn4cBvvvmGg/To0aNGjRqNGzfuk08+SWpjX5Mkw9b8+fOfP3/uXP/o0aP22BKdzz777M3sSnbSrVu3oKAgGk2aNGnbtu2cOXPAFrHq66+/njJlihQAX331Ff8kelkVDEkiHrC1atWqly9fsqSdO3f++uuvrVq1qlChgvp2y5Yt+/btK1SoUOfOnVOnTk18prNly5anT58mf/Xs2fOXX34xfXzjxo3//vsv7fz5869bt46e0NBQlLdv3169enWcqKYg7O/duxeXHT58uHXr1i79BCoOdLFixUqXLk3evHfvHvjbs2fPtm3bTMcx6j98+NB+6mQiQ4YMUe20adO+ePFC00/RlStX1F5Uq1bt0qVLx44dk+NHJMP/NNq1aycL//TTTwsUKLB582bSK9D0TUnqAVvPnj3r2rUry0ufPv3BgwcnTpx4/Phx9obCuX379uR44gT78fvvv0dGRmbIkKFNmzbff//97t27//zzzz59+lg9ji9Y6tKlS9lpotfAgQOpvf7+++/Hjx8DzatXr7J4wNepUyeU+/XrB7CuX7+uHEc/gGZY+pnx559/1nR3U8gDFx5ER41jpU9lZjW1D/yeAOHwxMTEjBo1ijanl09lKgUDn2fOnBEX4e2nT59+/vnnp06d4lgCqQMHDlAtsORly5ax3gULFvjAYA/YunHjRt68eYcNG8YyOOg5c+aMjo4ePHhw//796Rk5ciQ6OXLkuHPnDg0+CQzZsmWj/KQ4+PDDD60eB5osXhxBDU5sa9CgQc2aNUHkzJkzue6hz66nS5fuu+++Q+fy5cv4SPR5HAyBYNro8yn9YMvPz49qF+Aax7HSt5k6sZydUCHqjx8/noPB8ZCkT2nPJ+sSBRzFJydEPXL79m3yZrNmzapUqUKoi4iI4GCzcKId58c3ZnvAFhtWo0YNcTeoBzecb4BPyCEO3b9/nzUTJ0j8okwkCwsLo12xYkWrx6UfdxQvXpw2kZyAwe7SPnnyJP4qUqTIhQsXFi5cuH//fjHjyJEjBQsWzJw5M5GfQo30auzPkiWLjEnOBVjGcWz0rab2onO9JfV14Y4MsDgJpO/33nuPfs6nKIhXpVMEbzRv3hxg0f7jjz8oJ+REsczKlSv7xmzP2GLDpE2w4TSQxXbs2MEypLrihsJtRUpIlD/++GOPj2v6HgcGBhLkRKdDhw5KHwXCz9atW8mw6r5NzpUL4I8//sjU7v3yLGnaZRwbfaup4+M9n0r27NknTJiA33bt2kU2oEdSgab7ls88efIoZTxs9Ia64tDu0aOHbwy2cyWx9MSJE5LgEZI96Y/qiisxSwoPD3fRJwxQ1Ht8XDNc+qh4OEkqSdFfpkwZGrdu3SJKqVsPmCDZaXoWw8Xu/czF6XQfx0rfZupkJfiBtECxKP/EJ3wSwIKDgzmZJBDKVnrOnj3LXUqV9kZvENJUHUaJQt3is2XaYQuLsUwOOgl+9OjR06dPJ5eVKlUKK7E+ICCAr7hksSqSPRtptNvqcU3fSCp9TS8/nzx5Ytxg+ZGmcOHCuJXCnwvd3LlzwQR3bPrJaKp/8eLFqp9xmEvNrsax0reZOlkJ5dGmTZvGjBkj/+RiTl1B4cGB4Q7IV3Xr1tX031f5J0dX1IzeYJuAmrRZIxAk8vnGeDtsYQqfxGGq8n379tGQDEKa69KlS1BQEJd2Tg9bQgNlwgNb6PFxlg3sqKW4D+MF6jCQpP0XSNj+ixcvEs9nzJjBsDilZ8+eeIeLdEhISMeOHU37mct0HCt9TLV6BDgmor/jKWCIuvPcuXNYRe0IUMCT3ApnzZrFQgYNGsRFmAC2cuVK9ZRxabTBHFsgbSqNFStW+CYt2mGLnA2Axo4dSxUCMlQ/G7NkyRICFdEoX7580kmxyZ3LyeOELvWrKQEPB/3fFD8/AolSi42NxZs4hYKpd+/e6llg6t7fURfTcUz1kRBdTB9JPgI+uNZQp+JtrkSSE0X8/f0pvK5du8bxFrQpMXojTBdpD9XFZ8Z7iFvET8no7pJFlwQ/7lFAsGkIseqP7zgOhTKZKGs1ssvdJZHEXxfTryQgJU+xxBYlJDmiV69er169SsCbhDd8PPkItZrVS0+i3YEDB3xsz1skltiKioqSspfcJL8AxUve8PHkI9WqVTt8+HBSW/FWiiu23uoY43VxTspN8ZsS5bTk+1NhMpG7d++q1wMuwn2+UaNGPrbnLRJXbKXQ513kypUrM2fONP2KC5rCVorf3CUlbnkQboKbN29OaiveSvEytu7du8cNMV26dB988IF3R048SSHaO5exY8cGBwfXrl3bibKXsXX69OnevXtXqlRp0aJF3h058cRbRPvly5efO3dO/RMnqHeXiUpsdzL448ePlyxZcuzYsfTp05cpU6Zr164JmIhBpk6d2r17d4f6XsZW9erVnz59akpad/5Dl49/EvMW0Z7NM76ZyJo1qzQSldjuZHCSSb169bp16zZixAjKx/79+ycMW4D4o48+kldJTsTL2GKFZ8+edSe2f/vtt6VLl1bn2Eaca3pRvEK059oYExPj0pmoxHaHgw8fPpzzw7eazlAFfwmbDgQ3btzYub4Jtg4dOkRqq1q1qgtR7sGDB9HR0eXLly9VqpT0uJPQT5w4wdmVGLB69eoXL17UqFHj5MmTY8aMCQ8PxxfCjezQoYMwpTZs2AAQZaLnz5/v2LFDNAndHDXtdUo+ozmhgZty/MV406ntifZvKPbEdhEWvm7duiNHjpCXa9asKXnNybsmJ4NLNpw3b57qMeIjXsx6sCU0YBuzjWKCrRIlSvTr169hw4byghlbAQQPZ8iQITIyEiPAlhUJnZn8/f3l1enGjRuJ0mnTpt20aROVMsoU+OAM6ISGhsqyGQ2LBVtxcXFKE3NNKflOaOCmJH0OLhgyndqKaG8OFlvh8Tt37uTIkQOTpMee2C7Citgnwgknk4XIJjl51+RkcFaHVRz+69evA1Z02F/1rXNm/cWLF/mnHHgbs1+z0930TJkycXbVi46hQ4eyAWCL+PTw4UNh/9mQ1rGM+PTll1+yi82bN5cF0An+aFN1qpVLkFOkK0Bp1AwLC3On5DuhgVuR9Ok3ndqKaG+6rzZCRB8wYACmXrhwAWRQ9gJTj8R2hBNFXiugi8oVTt41ORkcj/FJ3CI0sLMEdTzMp8qbDpn1nMOgoCAGsTfbKOb1FmF27dq1NHbv3i0pgzY7RByimrMhodMmMxJp8ufPL8CSTiPz2EjHY+OFnuuiaUPJ90gDtyHpm05tSrQ3dYu9GHlECxcu5GgRJzwS2xFO/BdffAG+u3TpYgwqHsXJ4EIcp9iiaNH0v3YkhrGVLVq0EAWHzHr3Ysuj2ZbYArN3796dM2cO55hBWQApSQho9qR1HqxYsSL3FyonyltNR4yipZNhqYRU26XqV5pWlHwnNHArkr7V1KZEe1O3OBcqCs7D/v37PRLbNf2CSaggA5JZ1q9fTxWhOXvX5GRwIeEwmmALEBB72DKFLScuJffJ3xp5NNso5k4MDAzk+HJlIxWSH0kfjBIcHCxrsCKh03/r1i3iDbAjTkZFRQEUcplKRuQaIq1KgrGxsfLnQCJGTXzhTsl3QgO3IulbTW1FtI+vUOSBVyNjXdOLAWaxIbbLQshlVC3gnjhBeJA/8XXyrsnj4EhAQACbhW0SmDUdKPQ4dylCjZ85c2ajZ6zMNoo5togZDLRixQoCI3gEaosWLcII+daKhC50bOBIJuK6QRYDW1KNCTvv8uXLml5XsSTKES6kihKp/Ve3iaYpJR8neqSBW5H08Zrp1FZE+/gKw06ePFkRi8F01qxZSTRkZBtiu6b/0s2Dml6w4jepmTRn75psWPMMS2ZnjcRgbmbEmF69eml6ICBSECZkBIfMeveEaGW2USyDP3sJ0iXQEYdq167NKZSvbEjrrEeuSNwAihcvPmLECFIyEUhufOw0d0CiCGoY9+TJE4o2LgfUmJr+G6bSnDRpkikl3yMN3Iqkz+CmU3uLNY9ziYXYyao5QiQakAGwNFtiu6ZHaxJorVq19uzZg2Npx2te08FZyOzZs0nKcn5Yb58+fbghEQu2bNlCrazKI4fMerDF3Si+ZltiC1SKaxAOuvGoWZHWh+gibcxVpHjuTRwOecNIwiLas8EgRhKHEoBl1HSn5DuhgVuR9PGU6dQ2RPv4Cg4hnGMwZZDxPmVDbNf0/3OFOomtIvYbn3IopoOzECK9XLc1PQtxt8CZcjGSIljEIbMeI13+OsiJ2ZbYMr5sdn/xHC8SeiZdpE3wkz+n9qipOaDku4sNSd9+aq9ILl1Mv7IhtrusOgHiMjjXFy5eERERxs4EOFOJsSxW4tHsd4pj886Q9N9Q4uLihg8fnuR/pvFOYeudIem/ocTrR7LEk/8BKUymh23dZ9cAAAAASUVORK5CYII=" width="201" /></span></div>
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<span style="font-family: inherit;">2. Seekor kucing bergerak pada lintasan garis lurus dan dinyatakan dalam persamaan x = 2t<sup>2</sup> + 5t – 3 (x dalam meter dan t dalam sekon). Berapakah kecepatan sesaat kucing pada t = 2 s? </span></div>
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<span style="font-family: inherit;">Penyelesaian: Kecepatan sesaat ditentukan dengan mengambil Δ t sekecil mungkin pada t = 2 s, </span></div>
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<span style="font-family: inherit;">maka x<sub>1 </sub>= x pada t = 2 s, x<sub>1</sub> = 2 (2)<sup>2 </sup>+ 5 (2) – 3 = 15 m </span></div>
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<span style="font-family: inherit;">Jika Δ t = 0,1 s, maka t <sub>2</sub> = 2,1 s </span></div>
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<span style="font-family: inherit;">x <sub>2</sub>= 2 (2,1) <sup>2 </sup>+ 5 (2,1) – 3 = 16,32 m</span></div>
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<span style="font-family: inherit;">Kecepatan rata-rata = <img height="38" hspace="8" name="Object3" src="data:image/png;base64,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" width="194" /></span></div>
<div style="line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;"><br /></span></div>
<div style="line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;">Jika t <sub>1 </sub>= 0,01 s, maka t <sub>2</sub> = 2,01 s </span></div>
<div style="line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;">x<sub>2</sub> = 2 (2,01) <sup>2 </sup>+ 5 (2,01) – 3 = 15,1302 m</span></div>
<div style="line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;">Kecepatan rata-rata = <img height="38" hspace="8" name="Object4" src="data:image/png;base64,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" width="210" /></span></div>
<div style="line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;"><br /></span></div>
<div style="line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;"><br /></span></div>
<div style="line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;">Jika Δ t = 0,001 s, maka t<sub> 2</sub> = 2,001 s </span></div>
<div style="line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;">x <sub>2</sub>= 2 (2,001) <sup>2 </sup>+ 5 (2,001) – 3 = 15,013002 m</span></div>
<div style="line-height: 150%; margin-bottom: 0in; text-align: justify;">
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<span style="font-family: inherit;">Kecepatan rata-rata = <img height="38" hspace="8" name="Object5" src="data:image/png;base64,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" width="255" /></span></div>
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<span style="font-family: inherit;"><img alt="Soal dan Pembahasan Gerak Lurus - Fisika Dasar" border="0" height="155" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh5j7f-jmOK1ZxUVJ8oioB4msETVk-w_hHIWs-3CWK5rQ7GMG10SgYTthyyco682dN3FT7TcXuVexILrAqMB9Bo539nlw_2cOj-GP9dAONkD3L178TQwtx6P3Aj2jWMU-adA2OzB7_HC-o/s320/contoh+soal+gerak+lurus+-+002.png" title="Soal dan Pembahasan Gerak Lurus - Fisika Dasar" width="320" /></span></div>
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<span style="font-family: inherit;">Dari tabel di atas, semakin kecil Δ t yang diambil, maka kecepatan rata-rata </span><span style="font-family: inherit; line-height: 150%;">mendekati 13 m/s. Jadi, dapat disimpulkan bahwa kecepatan sesaat kucing pada</span></div>
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<span style="font-family: inherit;">t = 2 s adalah 13 m/s.</span></div>
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<span style="font-family: inherit;">3. Kecepatan gerak sebuah mobil berubah dari 10 m/s menjadi 16 m/s dalam selang waktu 3 sekon. Berapakah percepatan rata-rata mobil dalam selang waktu tersebut? </span></div>
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<span style="font-family: inherit;">Penyelesaian: </span></div>
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<span style="font-family: inherit;">Diketahui: </span></div>
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<span style="font-family: inherit;">v 1 = 10 m/s </span></div>
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<span style="font-family: inherit;">v 2 = 16 m/s </span></div>
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<span style="font-family: inherit;">Δ t = 3 s </span></div>
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<span style="font-family: inherit;">Ditanya: <img height="18" hspace="8" name="Object7" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABAAAAASCAIAAADdWck9AAAA9UlEQVR4nGP5//8/AymAhSTVQ0MDIyMjVnXwsEHXAJE4ePDgsWPHmJmZ1dXVVVRUtLW1cdrw/fv3yMhIBQWFwsLCCxcuBAQEHDlyBJ+T8vPz2djYJkyYAGTfu3cPSOrq6uLU8OjRozlz5pw6dQrCvXTpkry8PB8fH04NO3fuZGVlNTY2hnAvXryop6eH5gQUDS9fvhQUFIQHFFCDp6cnPg1AB7x69erq1avAYFm0aBFQQ1lZGT4NoaGhkydPtrCw0NHRSUpK+vv3LzBww8LCkCMHRQMHB8fJkyeBXpeSkgJ6JjU1lQEDYIlpoMMw1eHUQBCQrAEA0dJU2bbFprkAAAAASUVORK5CYII=" width="16" />= ... ? </span></div>
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<span style="font-family: inherit;">Jawab: </span></div>
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<span style="font-family: inherit;"><img height="40" hspace="8" name="Object6" src="data:image/png;base64,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" width="279" /></span></div>
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<span style="font-family: inherit;">4. Sebuah mobil bergerak dengan kecepatan 72 km/jam. Pada jarak 18 km dari arah yang berlawanan, sebuah mobil bergerak dengan kecepatan 90 km/jam. Kapan dan di manakah kedua mobil tersebut akan berpapasan? </span></div>
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<span style="font-family: inherit;"><img alt="Soal dan Pembahasan Gerak Lurus - Fisika Dasar" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhJc-IYk_q6glJQhHgUE5LOGLeNToWXmXpKJ7cmF91TCV1RgeGwOga6MQLPin6N921qMnM20EEK3LmLnFlaRtRFEU05Z5GtRcwjfVf4f445g2FgtLol0gXkfUEv_5Du7GlQCztb1MXnNEo/s400/contoh+soal+gerak+lurus+-+003.png" title="Soal dan Pembahasan Gerak Lurus - Fisika Dasar" /></span></div>
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<span style="font-family: inherit;">Penyelesaian:</span></div>
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<span style="font-family: inherit;"><br /></span></div>
<div style="line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;">Jarak kedua mobil = PQ = 18 km = 18.000 m </span></div>
<div style="line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;">Misal, titik R merupakan titik di mana kedua mobil tersebut berpapasan, maka: </span></div>
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<span style="font-family: inherit;">PQ = PR + QR </span></div>
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<span style="font-family: inherit;">Dengan: </span></div>
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<span style="font-family: inherit;">PR = jarak tempuh mobil 1 </span></div>
<div style="line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;">QR = jarak tempuh mobil 2 </span></div>
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<span style="font-family: inherit;"><br /></span></div>
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<span style="font-family: inherit;">Maka: </span></div>
<div style="line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;">PQ = v<sub>1</sub> t + v<sub>2</sub> t </span></div>
<div style="line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;">18.000 = (20t + 25t) </span></div>
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<span style="font-family: inherit;">18.000 = 45 t </span></div>
<div style="line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;">45 t = 18.000 </span></div>
<div style="line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;">t = 400 s </span></div>
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<span style="font-family: inherit;"><br /></span></div>
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<span style="font-family: inherit;">PQ = v<sub>1 </sub>.t = (20 m/s)(400 s) = 8.000 m = 8 km </span></div>
<div style="line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;">QR = v<sub>2 </sub>.t = (25 m/s)(400 s) = 10.000 m = 10 km </span></div>
<div style="line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;"><br /></span></div>
<div style="line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;">Jadi, kedua mobil tersebut berpapasan setelah 400 s bergerak, dan setelah mobil pertama menempuh jarak 8 km atau setelah mobil kedua menempuh jarak 10 km.</span></div>
<div style="line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;"><br /></span></div>
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<span style="font-family: inherit;">5. Sebuah mobil mulai bergerak dari keadaan diam dengan percepatan tetap 8 m/s<sup> 2</sup>. Berapakah kecepatan mobil setelah bergerak selama 6 sekon? </span></div>
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<span style="font-family: inherit;">Penyelesaian: </span></div>
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<span style="font-family: inherit;">Diketahui : v 0 = 0; a = 8 m/s 2 ; t = 6 s </span></div>
<div style="line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;">Ditanya : v<sub>t </sub>= ... ? </span></div>
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<span style="font-family: inherit;">Jawab : </span></div>
<div style="line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;">v<sub>t </sub>= v 0 + at = 0 + (8 m/s 2 ) (6 s) </span></div>
<div style="line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;">v<sub>t </sub>= 48 m/s</span></div>
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<span style="font-family: inherit;"><br /></span></div>
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<span style="font-family: inherit;">6. Doni melempar sebuah bola dari puncak gedung apartemen setinggi 37,6 m. Tepat pada saat yang sama Yusuf yang tingginya 160 cm berjalan mendekati kaki gedung dengan kecepatan tetap 1,4 m/s. Berapa jarak Yusuf dari kaki gedung tepat pada saat bola jatuh, jika bola yang dijatuhkan tersebut tepat mengenai kepala Yusuf? </span></div>
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<span style="font-family: inherit;">Penyelesaian: </span></div>
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<span style="font-family: inherit;">Bola mengalami gerak jatuh bebas</span></div>
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<span style="font-family: inherit;">v<sub>0</sub>= 0 </span></div>
<div style="line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;">a = -g = -9,8 m/s<sup>2</sup></span></div>
<div style="line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;"><br /></span></div>
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<span style="font-family: inherit;">Jarak tempuh bola = 37,6 m – 160 cm = 37,6 m – 1,6 m = 36 m. Jadi, y = -36.</span></div>
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<span style="font-family: inherit;"><br /></span></div>
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<span style="font-family: inherit;"><img height="41" hspace="8" name="Object11" 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width="462" /></span></div>
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<span style="font-family: inherit;">Jika waktu tempuh Yusuf sama dengan waktu jatuh bola, maka bola tersebut akan mengenai kepala Yusuf. Yusuf mengalami gerak lurus beraturan dengan </span></div>
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<span style="font-family: inherit;">v = 1,4 m/s, maka jarak Yusuf semula dari kaki gedung adalah:</span></div>
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<span style="font-family: inherit;">7. Sebuah bola dilempar vertikal ke atas dengan kecepatan 60 m/s. Jika percepatan gravitasi g = 10 m/s<sup>2</sup> , tentukan: </span></div>
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<span style="font-family: inherit;">a. waktu yang diperlukan bola untuk mencapai ketinggian maksimum, </span></div>
<div style="line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;">b. kecepatan bola saat tiba di tanah, </span></div>
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<span style="font-family: inherit;">c. waktu yang diperlukan bola untuk kembali ke tanah!</span></div>
<div style="line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;">Penyelesaian:</span></div>
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<span style="font-family: inherit;">a. Bola mengalami gerak vertikal ke atas, maka a = -g = -10 m/s<sup>2</sup>. Saat mencapai titik tertinggi, kecepatan bola adalah nol (v <sub>t </sub>= 0), maka: </span></div>
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<span style="font-family: inherit;">v <sub>t </sub>= v <sub>0</sub> + at </span></div>
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<span style="font-family: inherit;">0 = v <sub>0 </sub>+ at</span></div>
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<span style="font-family: inherit;"><img height="42" hspace="8" name="Object14" src="data:image/png;base64,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" width="162" /></span></div>
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<span style="font-family: inherit;">b. Kecepatan pada saat tiba di tanah sama dengan kecepatan bola saat di- lempar dari tanah, hanya saja tandanya menjadi negatif (-) </span></div>
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<span style="font-family: inherit;">v<sub>A</sub> = -v <sub>0</sub> = -60 m/s (arah ke bawah) </span></div>
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<span style="font-family: inherit;">c. Gerak bola pada saat naik simetris dengan gerak bola saat turun. Hal ini berarti waktu naik sama dengan waktu turun (t = 6 s), sehingga waktu yang diperlukan bola untuk kembali ke tanah adalah: </span></div>
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<span style="font-family: inherit;">t<sub>tot</sub>= 2t = 2(6) s = 12 s</span></div>
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<span style="font-family: inherit;">8. Sebuah bola dilemparkan ke atas dengan kecepatan awal 30 m/s. Jika percepatannya adalah 10 m/s<sup>2</sup> ke bawah, berapa waktu yang dibutuhkan untuk mencapai titik tertingginya, dan berapakah jarak ke titik tertinggi itu? </span></div>
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<span style="font-family: inherit;">Penyelesaian: </span></div>
<div style="line-height: 150%; margin-bottom: 0in; text-align: justify;">
<span style="font-family: inherit;">a. v = v<sub>0 </sub>+ at </span></div>
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<span style="font-family: inherit;">0 = 30 m/s + (-10 m/s<sup>2</sup>)t</span></div>
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<span style="font-family: inherit;"><img height="40" hspace="8" name="Object13" src="data:image/png;base64,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" width="121" /></span></div>
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<span style="font-family: inherit;">b. Δ x = v<sub>rata-rata</sub> .t = (15 m/s)(3,0 s) = 45 m</span></div>
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gold.roger3425http://www.blogger.com/profile/11241720279056588223noreply@blogger.com0tag:blogger.com,1999:blog-6629470753799285607.post-77901695010063560232016-05-29T13:30:00.000-07:002017-10-15T00:07:41.682-07:00Soal dan Pembahasan Besaran dan Satuan<div dir="ltr" style="text-align: left;" trbidi="on">
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<span style="font-family: inherit;">Jawablah soal-soal Besaran dan satuan berikut ini dengan baik dan benar!</span></div>
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<span style="font-family: inherit;">1 Pada perlombaan lari cepat jarak pendek seorang pelari menempuh jarak 100 m. Berapa jarak lari 100 m jika dinyatakan dalam yard?</span></div>
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<span style="font-family: inherit;">Penyelesaian: </span></div>
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<span style="font-family: inherit;">1 yd = 3 ft = 36 inci</span></div>
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<span style="font-family: inherit;"><img height="42" hspace="8" name="Object1" src="data:image/png;base64,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" width="139" /></span></div>
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<span style="font-family: inherit;">= 91,44 cm</span></div>
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<span style="font-family: inherit;">atau : 1 yd = 0,9144 m</span></div>
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<span style="font-family: inherit;">berarti: 1 m = 1/0,9144 yd = 1,094 yard</span></div>
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<span style="font-family: inherit;">sehingga:</span></div>
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<span style="font-family: inherit;"><img height="42" hspace="8" name="Object2" src="data:image/png;base64,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" width="194" /></span></div>
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<span style="font-family: inherit;">100 m = 109,4 yard</span></div>
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<span style="font-family: inherit;">2. Tentukan dimensi besaran-besaran turunan berikut ini. </span></div>
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<span style="font-family: inherit;">a. Luas </span></div>
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<span style="font-family: inherit;">b. Kecepatan </span></div>
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<span style="font-family: inherit;">c. Volume </span></div>
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<span style="font-family: inherit;">Penyelesaian: </span></div>
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<span style="font-family: inherit;">a. Luas merupakan hasil kali panjang dan lebar, keduanya memiliki dimensi panjang [ L] </span></div>
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<span style="font-family: inherit;">luas = panjang × lebar = [ panjang] × [ lebar] = [ L] × [ L] = [ L]<sup>2 </sup></span></div>
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<span style="font-family: inherit;">b. Kecepatan merupakan hasil bagi jarak terhadap waktu. Dimensi jarak adalah [L], sedangkan waktu memiliki dimensi [ T ]. Jadi dimensi kecepatan adalah </span></div>
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<span style="font-family: inherit;">Kecepatan = jarak / waktu </span></div>
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<span style="font-family: inherit;">[kecepatan] = [L] /[T] = [ L][ T ]<sup>-1 </sup></span></div>
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<span style="font-family: inherit;">c. Volume adalah hasil kali panjang, lebar, dan tinggi. Ketiganya memiliki dimensi panjang [ L], sehingga dimensi volume adalah: </span></div>
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<span style="font-family: inherit;">[volume] = [ panjang ] × [ lebar] × [tinggi] = [ L] × [ L] × [ L] = [ L]<sup>3</sup></span></div>
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<span style="font-family: inherit;">3. Pengukuran menggunakan jangka sorong diperoleh hasil sebagai berikut:</span></div>
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<span style="font-family: inherit;"><img alt="Soal dan Pembahasan Besaran dan Satuan" border="0" height="115" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgXUCnXJlaISQ0dRKyMu9t4yZq22jCusN7TJ6bE6kVL6hnejJ48cBAkxoDVNCrMfXdaG43uOWB_XO0JdtO0CVWee8IuchMQo58pLmdkpTp77qySfp_PolpmVdFPm7cSpb5nhE50FPCu1K0/s320/contoh+soal+besaran+dan+satuan+-+001.png" title="Soal dan Pembahasan Besaran dan Satuan" width="320" /></span></div>
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<span style="font-family: inherit;">Hitunglah hasil pengukurannya berdasarkan gambar di atas! </span></div>
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<span style="font-family: inherit;">Penyelesaian: </span></div>
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<span style="font-family: inherit;">Pada skala utama menunjukkan = 58 mm </span></div>
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<span style="font-family: inherit;">Pada skala nonius menunjukkan = 5 × 0,1 = 0,5 mm </span></div>
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<span style="font-family: inherit;">Hasil pengukuran = (58 + 0,5) mm = 58,5 mm = 5,85 cm</span></div>
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<span style="font-family: inherit;">4. Hasil pengukuran dengan mikrometer sekrup pada skala utama menunjukkan angka 4,5 mm dan skala putar menunjuk angka 25. Berapakah hasil pengukurannya? </span></div>
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<span style="font-family: inherit;">Penyelesaian: </span></div>
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<span style="font-family: inherit;">Bagian skala utama menunjukkan = 4,5 mm </span></div>
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<span style="font-family: inherit;">Bagian skala nonius menunjukkan = 25 × 0,01 = 0,25 mm </span></div>
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<span style="font-family: inherit;">Hasil pengukuran = 4,75 mm atau 0,475 cm</span></div>
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<span style="font-family: inherit;">5. Dua buah vektor sebidang berturut-turut besarnya 4 satuan dan 6 satuan, bertitik tangkap sama dan mengapit sudut 60<sup>o</sup>. Tentukan besar dan arah resultan vektor tersebut! </span></div>
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<span style="font-family: inherit;">Penyelesaian: </span></div>
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<span style="font-family: inherit;">Misalkan vektor pertama V 1 dan vektor kedua V 2 . </span></div>
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<span style="font-family: inherit;">V 1 = 4 satuan </span></div>
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<span style="font-family: inherit;">V 2 = 6 satuan </span></div>
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<span style="font-family: inherit;">cos α = coas 60<sup>o </sup>= 1/2</span></div>
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<span style="font-family: inherit;"><img alt="Soal dan Pembahasan Besaran dan Satuan" border="0" height="216" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgwanvbA3Zl-hTUPjv-LBiLRUIMIcuRnmgWRBE0gMlVPxMWdsE0ENszf10_mJ0_jX_iriDY-TpVNVWa6UMHnxGRFp9FovPqm5JjSieOr3SEKvjLl-rTLrAoM0a19d-JXBkhaMfM44yogUQ/s320/contoh+soal+besaran+dan+satuan+-+002.png" title="Soal dan Pembahasan Besaran dan Satuan" width="320" /></span></div>
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<span style="font-family: inherit;">Besar resultan:</span></div>
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<span style="font-family: inherit;"><img height="19" hspace="8" name="Object5" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAASgAAAATCAIAAACsrweUAAAKe0lEQVR4nO2bd2xNYR/Hr9nWblQpXrU3jb2l1ZZKEKs2sVeEoppUUrVHKzFKSM0SGpuoFdSI9SI1a8RoaWlVFVWjKO8n54mTk3NvT8+99yhv4/vHzTnnPuM3nu9v9NwW/fnzp8kgZGdnOzg4GLVaAcMfMU7B80iB0aiogWtFR0ePGjXKwAX/KtgZoRwdHfN/0z/lEQOjuQo2a/T7RLINhhEvLS2tYsWKRq1WwIBx/simBcwjBUkjw4h38eLFLl26/G1x5S8Bxnn37l3ZsmXzedMC5pGCpJFhxMv/g/V/hD9inILnkYKkkZE9ngpv376NiooKCAhQPvzy5cv27dvv3r3r5OTUuHHjYcOG6Vlqz549N27c+PDhA5VG9+7dW7RoYeeCYPfu3bdv32ZNNze33r17169f33xMZGRk+/btWVbnmnli+fLlCKx80q5dO29vb5MdilgLm5UydyjJZ//+/devXy9UqFCfPn1atWpl1YJ6XJDPIuUbjCEeocjZ2Vm+/f79+7p168LDw79+/ao0SkZGhqen5/Dhw2fPnp2cnDx58mSdx2vJkiWrVq2qV69eXFwcxUZYWNiECRPsWRAsWrRo/fr1NWvWvHTpEkzeunWrv7+/csDhw4fZBc7bSTylcVavXt2wYUP5K2jm7u5upyJ5bqqEbUrl5tCePXsWLVo0IiIiPT2d65UrV/bv31//snm6QEOj3ySSCtAYAts8XQPGEI/imyAq32JHAvmMGTOWLl2qHBYcHFyrVq1Zs2ZxTe6aP3+++VJMIVDBMeVDTmSnTp248PPz41ssLohn84Jg5MiRCMkF3+KhZcuWKb2empq6du1a66yQC5TG8fHx2bx5s7gmxXl5eQ0ePFinIjZvKsNmpSw69PTp00eOHHn69Ol/JEybNi0wMNCqU67tAhX0nDH7RVKC8qRRo0ZUWLZN14aaeFlZWY8fP7Y4FOp7eHhY/OrVq1eurq7ybefOnfm8cOGCcowopTZs2CA/6datm/lSHMHatWureDJ9+nT52sHBIScnx84FVWvSOVC0yLfEuSlTpqxYsUKZnUxGGEdmnUkq+UhrhGdtRQzxiIZSYouYmJgSJUr06tWLW+q0pKQkyCAPsOhQ0jXC16hRQ9xCg6CgoIcPH2JqnTJruCBPjawVSTwhTx44cID6tmTJktBYLALOnTsHk4sUKcJIcVrgcGhoKDkZu2VmZjIGArM4F4cOHWrSpAmJ2uJcuPrx40d24atBgwZduXLl1KlTbdu2JWcoRVUTLz4+XiQTc7ArLhHX5PcnT540aNBAw1Iq3Llz5/PnzwiXkpKCV4jrdevW1T9d4OXLl0ePHg0JCTFqQQF0ad26tXxLWUucq1OnjmqYgcbJzs6msiKK56mIUZvmphQoVapU+fLlu3btysHl3MA6EqOSeBbBFM4xh4xDzG3lypX5TEhIQBGdMiuhcoEejawSSQyYOHEiAygo7t27t2PHDoiH5Sk6qlevThS4efMmrSZkJgRQkxcvXpznLi4uDx48gIGwyCSF+759+x4/fhziWZzLGHZnF8IcW0NappDPX7x4oQwcauK1adOGJbTVe/bsGb0Kw4gK3H769EnoqY3Xr1/zSVwnsuJpGuumTZvySQhEsoMHD8ojOY7IzUWzZs1kk8XGxi5YsIBNUXLs2LH2LygjMTGRsHT58mVxSzi8du0aXhFTfpNxNm7cSFnl5OSkrYhRm2ooJeDr69uxY0dqeMqzbdu20QRq7wigMQedSm/evHncihRHrtMpsxIqF+jRyFqRBKATBW01CSJloS8EoxXkmhqVT7JZmTJlcA1egEs82bt3Lw/FCjD2x48fokO2OFcMIz8zzNvbm7zKV2vWrKFH1SKeHnA+KH89PT0JSHQm5FkyaZ6zyMV80saQjk1S2wYHqMh79Ojx/v17yn15JOGWE2CS2jOZJ10kEIpgHfqQvu1cUICwOnr0aL4VJoOxLBgdHW2DWfQbh03ZUaQ7bcsYsqlOpThGY8aMIQpERUVx8vLclCNOlUX2gLFVqlSBbDzUM1EFlQv0aGSzSKS4mTNnknWHDh1KWfH8+XMi4NWrV8W3hCd3d3cxnmuIJ55Tksiycc0ubm5uGnNNUtFLlhNNKQkTfsqlqYCaeG/evCE0WtSqcOHCVCNcVKhQgc/x48cTpDnKBCcfH588jSLyPuuL44XaGPfWrVscL4or+Y/shPmdO3fm1hA7OzsvXLiQLuXMmTP2L0i9R5fFacMN4sncuXPZgvFcE7H4pKiAGKLuMso4mzZtwivyKykNRQzZVFspGSRbirQOHTroJw916a5du8S1iCNVq1bVKbOAuQsEbDtjGiIJ0EsvXryYMpjkT0104sSJYsWKyW+nsLlMNogknxlYJNuKa0FCjbkmiZ/ydK6JpKI/lKEmXnJyMmnRokq4Smky1kUHyj895gAU67gfuUUcMkmdrsU/eauQlpZGpUElLW5Lly5tkl7gEA5tW1CArDhixIipU6eK12gCkAHGkk5Nv37dhwMqVaok7G6Icb59+0a7RWCWn2hbxv5NtZUS2LdvH0UdQS0iIoLmBHpY3FEDnHKSjPjLjU6ZLbpACWvPmIZIJinzOzo6kg9RvGXLlkQfCkLsLL8wgDzib5jp6empqamCYJSIqCO/faEebt68uUkqJi3ONUnuI8spk6T5yxs18Tw8PGJiYvRo5eDg4OfnR/lLGtUzHsZPmjSJkEN4E4ISffWEMdSmNA8NDRW3x44dK1euHDWDzQuapLaKnEPk41DKvT4RKzg4WB6D+QhpQUFBcugyxDhbtmzhnCl/c6itiP2baitlkvLA+fPnIyMjMzIySI9UuRgnz+0yMzOpBsWbDyhEPT9nzhz9MufmAqXw1p4xDZFMUuYX7x6gBB0jJKQ4JKzHx8eTJ+lssTyWMf1q2MQr1qSkJJOUgXNycsLCwuLi4ggW4luLc8GjR4/I5EriDRw4UCWqXe/xqAREu6V6zpPY2NizZ89iCDoHgmtgYCD+RnOm0LAiK/yhRDb/O2RKSooqa3HLYaXWR1UK6/v378NDcXBtWxD89xeUDxMSEuS8aj8sGod0Fx4efvLkSdVgPYrYvKk2iGu0WBROBG+6F45ISEgIZaeXl5c8xqJDTVLNTOlBEqMHCwgIYHf9++p0gVVnTFsk8pivry+1NJnQ39+fa9pLMjzdIxkJI0AtZg0YMICuElP069eP+A51EQn+06ThJhhFXzdkyBBWsDgXM8I0iC3eaojsBy2plgWTBewiHpUrapj/0sdHgvl4uAeFsBTRiPrBYj2DBVVPUCAxMZEAyURXV1dRatqzIKB9yvO3tiQie36Pa9E4CEw4NB+sRxGbN1XCXClaIMKBfBsVFWU+y6JDkRm/ENdYkDyj6mHyhB4XmKw8Y9oiEc6ysrKgH6mJLtok/a8WzCea02Yzd9y4cWIkrGMdSlMXFxeT9JdMwhPEg8/iHbKAxblggARxjQxw1Vwve3+5Ijey+lFGgrWzKkgwcMF8gLXGMUQRGzxiMzhw1apV+927WKWRtkilJCifkKCUicjiSCcnJ4vvP3Obqwe/8UfS//AP/5Ab/gcerEUz4QoUdAAAAABJRU5ErkJggg==" width="296" /></span></div>
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<span style="font-family: inherit;"><br /></span></div>
<div align="justify" style="font-weight: normal; line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">Arah resultan ( θ ) dihitung dengan rumus sinus pada segitiga OAB.</span></div>
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<span style="font-family: inherit;">sin θ = 0,596</span></div>
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<span style="font-family: inherit;">θ = 35.6<sup>o</sup></span></div>
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<span style="font-family: inherit;">Demikianlah Contoh Soal tentang Besaran dan Satuan ini saya sampaikan, semoga bermanfaat.</span></div>
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gold.roger3425http://www.blogger.com/profile/11241720279056588223noreply@blogger.com0tag:blogger.com,1999:blog-6629470753799285607.post-36911717625980528902016-05-28T13:51:00.000-07:002017-10-15T00:08:18.655-07:00Pengertian Termodinamika<div dir="ltr" style="text-align: left;" trbidi="on">
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<b>Termodinamika</b> adalah cabang dari ilmu fisika yang mempelajari tentang proses perpindahan energi sebagai kalor dan usaha antara sistem dan lingkungan. Kalor didefinisikan sebagai perpindahan energi yang disebabkan oleh perbedaan suhu,<br />
<br />
Sedangkan usaha merupakan perubahan energi melalui cara-cara mekanis yang tidak disebabkan oleh perubahan suhu. Proses perpindahan energi pada termodinamika berdasarkan atas dua hukum, yaitu Hukum I Termodinamika yang merupakan pernyataan Hukum Kekekalan Energi, dan Hukum II Termodinamika yang memberikan batasan tentang arah perpindahan kalor yang dapat terjadi. </div>
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<img alt="Kereta api uap memanfaatkan prinsip termodinamika" border="0" height="200" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjwoGeuZ2HFH482T5fqIcoKPrgFIvUIYi-5uus3BZuJVcFv5IOXWyYojbzbgyCDWL73UNifHrrxtrvsR0xgQDwd2r5fYhlT6n2AttED_x8xGxamdFLZDUDv7gdf62tPDB9Fg79lMRPdjFA/s320/goodwp.com_25372.jpg" title="Kereta api uap memanfaatkan prinsip termodinamika" width="320" /></div>
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Kereta api uap memanfaatkan prinsip termodinamika.</div>
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<br /></div>
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Dalam membahas termodinamika kita akan mengacu pada sistem tertentu. Sistem adalah benda atau sekumpulan benda yang akan diteliti, sedangkan lingkungan adalah semua yang ada di sekitar benda. Sistem dibedakan menjadi beberapa macam.<br />
<br />
Sistem terbuka adalah sistem dimana antara sistem dan lingkungan memungkinkan terjadinya pertukaran materi dan energi. Apabila hanya terjadi pertukaran energi tanpa pertukaran materi, sistem disebut sistem tertutup.<br />
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Adapun sistem terisolasi adalah jika antara sistem dan lingkungan tidak terjadi pertukaran materi dan energi.</div>
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gold.roger3425http://www.blogger.com/profile/11241720279056588223noreply@blogger.com0tag:blogger.com,1999:blog-6629470753799285607.post-59723460724907134482016-05-28T13:48:00.000-07:002017-10-15T00:08:44.484-07:00Penjelasan mengenai Hukum-Hukum tentang Gas<div dir="ltr" style="text-align: left;" trbidi="on">
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<span style="font-family: inherit;">Pada pembahasan kali ini kita akan mempelajari Hukum-hukum yang berkaitan tentang Gas, diantara hukum-hukum tersabut adalah, Hukum Boyle, Hukum Charles, Hukum Gay Lussac, Hukum Boyle-Gay Lussac, Persamaan Umum Gas Ideal, untuk lebih jelasnya silahkan anda perhatikan penjelasan berikut:</span></div>
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<span style="font-family: inherit;">1. Hukum Boyle</span></h4>
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<span style="font-family: inherit;">Volume gas dalam suatu ruang tertutup sangat bergantung pada tekanan dan suhunya. Apabila suhu dijaga konstan, maka tekanan yang diberikan akan memperkecil volumenya. Hubungan, tersebut dikenal dengan Hukum Boyle yang dapat dinyatakan berikut ini. </span></div>
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<span style="font-family: inherit;"><br /></span></div>
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<span style="font-family: inherit;">“Apabila suhu gas yang berada dalam ruang tertutup dijaga konstan, maka tekanan gas berbanding terbalik dengan volumenya”. </span></div>
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<br /></div>
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<span style="font-family: inherit;">Secara sistematis, pernyataan tersebut dapat dituliskan:</span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">P ∞ 1/V, untuk P.V = konstan atau:</span></div>
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<span style="font-family: inherit;">P <sub>1 </sub>.V <sub>1</sub> = P <sub>2</sub> .V <sub>2</sub></span></div>
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<span style="font-family: inherit;">(1)</span></div>
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<span style="font-family: inherit;">dengan: </span></div>
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<span style="font-family: inherit;">P<sub>1 </sub>= tekanan gas pada keadaan 1 (N/m <sup>2 </sup>) </span></div>
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<span style="font-family: inherit;">V <sub>1 </sub>= volume gas pada keadaan 1 (m <sup>3</sup> ) </span></div>
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<span style="font-family: inherit;">P <sub>2 </sub>= tekanan gas pada keadaan 2 (N/m <sup>2</sup> ) </span></div>
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<span style="font-family: inherit;">V <sub>2</sub>= volume gas pada keadaan 2 (m <sup>3 </sup>)</span></div>
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<span style="font-family: inherit;"><br /></span></div>
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<span style="font-family: inherit;">Persamaan (1) menyatakan bahwa pada suhu konstan, jika tekanan atau volume gas berubah, maka variabel yang lain juga berubah sehingga hasil kali P.V selalu tetap. </span></div>
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<span style="font-family: inherit;"><br /></span></div>
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<span style="font-family: inherit;">Hubungan antara tekanan dan volume gas pada suhu konstan dapat dilukiskan dengan grafik seperti yang tampak pada Gambar berikut: </span></div>
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<span style="font-family: inherit;"><br /></span></div>
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<span style="font-family: inherit;"><img alt="Penjelasan mengenai Hukum-Hukum tentang Gas" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj-tAZX6nrmYsXXC9tZCvmsP6YO7gThgebQL9KaHDWw0ovYfVtwuev71L6iiRHt8yYL8FngdHtz6lFlULd6wUkErzXgK6SkVCrA6bPbFhEnMbyUGxmuMy7bKJisle2IFUwZ1GbpdIBdBPM/s400/Grafik+hubungan+P+-V+pada+suhu+konstan.png" title="Grafik hubungan P -V pada suhu konstan." /></span></div>
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<span style="font-family: inherit;">Grafik hubungan P -V pada suhu konstan.</span></div>
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<span style="font-family: inherit;"><br /></span></div>
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<span style="font-family: inherit;">Grafik tersebut menunjukkan bahwa pada saat volumenya bertambah, tekanan gas akan berkurang. Proses pada suhu konstan disebut proses isotermis.</span></div>
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<span style="font-family: inherit;"><br /></span></div>
<h4 style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">2. Hukum Charles </span></h4>
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<span style="font-family: inherit;"><br /></span></div>
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<span style="font-family: inherit;">Telah diketahui bahwa selain ditentukan oleh tekanan, volume gas dalam ruang tertutup juga dipengaruhi oleh suhu. Jika suhu gas dinaikkan, maka gerak partikel-partikel gas akan semakin cepat sehingga volumenya bertambah. Apabila tekanan tidak terlalu tinggi dan dijaga konstan, volume gas akan bertambah terhadap kenaikan suhu. Hubungan tersebut dikenal dengan Hukum Charles yang dapat dinyatakan berikut ini. </span></div>
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<span style="font-family: inherit;"><br /></span></div>
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<span style="font-family: inherit;">“Apabila tekanan gas yang berada dalam ruang tertutup dijaga konstan, maka volume gas berbanding lurus dengan suhu mutlaknya.” </span></div>
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<span style="font-family: inherit;"><br /></span></div>
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<span style="font-family: inherit;">Secara matematis, pernyataan tersebut dapat dituliskan:</span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">V ∞ T</span></div>
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<span style="font-family: inherit;"><img height="43" hspace="8" name="Object4" src="data:image/png;base64,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" width="172" /></span></div>
<div align="right" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">(2)</span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">dengan: </span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">V <sub>1 </sub>= volume gas pada keadaan 1 (m <sup>3</sup> ) </span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">T<sub>1 </sub>= suhu mutlak gas pada keadaan 1 (K) </span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">V <sub>2 </sub>= volume gas pada keadaan 2 (m <sup>3 </sup>) </span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">T <sub>2 </sub>= suhu mutlak gas pada keadaan 2 (K)</span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;"><br /></span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">Hubungan antara volume gas dan suhu pada tekanan konstan dapat dilukiskan dengan grafik seperti yang tampak pada Gambar berikut: </span></div>
<div align="center" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;"><img alt="Penjelasan mengenai Hukum-Hukum tentang Gas" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjgIx6hHi4QpV21IFL8-A16BZmioyYeReuekgA7CSi2tNaJjnuJcJaklgp1yEerJWEfMh2guYctrk5GEyqSWsvmF46R5SdVilutUOz53w6iDG9ogHuNNHN-7fyybwMhq7VWRrKAdrd6zBk/s400/Grafik+hubungan+V+-T+pada+tekanan+konstan.png" title="Grafik hubungan V -T pada tekanan konstan" /></span></div>
<div align="center" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">Grafik hubungan V -T pada tekanan konstan.</span></div>
<div align="center" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;"><br /></span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">Proses yang terjadi pada tekanan tetap disebut proses isobaris.</span></div>
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<span style="font-family: inherit;"><br /></span></div>
<h4 style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">3. Hukum Gay Lussac </span></h4>
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<span style="font-family: inherit;"><br /></span></div>
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<span style="font-family: inherit;">Apabila botol dalam keadaan tertutup kita masukkan ke api, maka botol tersebut akan meledak. Hal ini terjadi karena naiknya tekanan gas di dalamnya akibat kenaikan suhu. Dengan demikian, dapat dikatakan bahwa: </span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;"><br /></span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">“Apabila volume gas yang berada pada ruang tertutup dijaga konstan, maka tekanan gas berbanding lurus dengan suhu mutlaknya”. </span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;"><br /></span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">Pernyataan tersebut dikenal dengan Hukum Gay Lussac. Secara matematis dapat dituliskan:</span></div>
<div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">P ∞ T</span></div>
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<span style="font-family: inherit;"><img height="43" hspace="8" name="Object3" src="data:image/png;base64,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" width="169" /></span></div>
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<span style="font-family: inherit;">(3)</span></div>
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<span style="font-family: inherit;">dengan: </span></div>
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<span style="font-family: inherit;">P<sub>1 </sub>= tekanan gas pada keadaan 1 (N/m <sup>2</sup> ) </span></div>
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<span style="font-family: inherit;">T <sub>1 </sub>= suhu mutlak gas pada keadaan 1 (K) </span></div>
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<span style="font-family: inherit;">P <sub>2 </sub>= tekanan gas pada keadaan 2 (N/m <sup>2 </sup>) </span></div>
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<span style="font-family: inherit;">T<sub>2</sub> = suhu mutlak gas pada keadaan 2 (K)</span></div>
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<span style="font-family: inherit;"><br /></span></div>
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<span style="font-family: inherit;">Hubungan antara tekanan dan suhu gas pada volume konstan dapat dilukiskan dengan grafik seperti yang tampak pada Gambar berikut: </span></div>
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<span style="font-family: inherit;"><br /></span></div>
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<span style="font-family: inherit;"><img alt="Penjelasan mengenai Hukum-Hukum tentang Gas" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEimztGLApsTlc9yGsM7ub572sV_7QbKadJ22Z89E4DTnp0TXCjdvdmvnD8XDMGi2GURYuXaUqYr5VIVjugTa39gRWUyjjcIbl1N5bX7OcDP8E4e6aVMeC0QCLsl8GMwUqnytl-69jZwvhY/s400/Grafik+hubungan+P+-T+pada+volume+konstan.png" title="Grafik hubungan P -T pada volume konstan" /></span></div>
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<span style="font-family: inherit;">Grafik hubungan P -T pada volume konstan</span></div>
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<span style="font-family: inherit;"><br /></span></div>
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<span style="font-family: inherit;">Proses yang terjadi pada volume konstan disebut proses <b>isokhoris</b>.</span></div>
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<span style="font-family: inherit;"><br /></span></div>
<h4 style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;">4. Hukum Boyle-Gay Lussac </span></h4>
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<span style="font-family: inherit;"><br /></span></div>
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<span style="font-family: inherit;">Hukum Boyle-Gay Lussac merupakan gabungan dari persamaan (1), (2), dan (3), sehingga dapat dituliskan:</span></div>
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<span style="font-family: inherit;">PV/T = konstan</span></div>
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<span style="font-family: inherit;"><br /></span></div>
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<span style="font-family: inherit;"><img height="43" hspace="8" name="Object2" src="data:image/png;base64,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" width="96" /></span></div>
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<span style="font-family: inherit;">(4)</span></div>
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<span style="font-family: inherit;">5. Persamaan Umum Gas Ideal </span></div>
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<span style="font-family: inherit;">Sebelum membahas lebih lanjut mengenai persamaan umum gas ideal, kita akan mendefinisikan dahulu beberapa istilah kimia yang berkaitan dengan gas ideal.</span></div>
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<span style="font-family: inherit;"><br /></span></div>
<ol type="a">
<li><div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;"> Massa atom relatif (Ar), adalah perbandingan massa rata-rata sebuah atom suatu unsur terhadap 1/12 kali massa sebuah atom <sup>12</sup><sub>6</sub>C . Harga massa atom relatif bukanlah massa yang sebenarnya dari suatu atom, tetapi hanya merupakan harga perbandingan.</span></div>
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<span style="font-family: inherit;">Contoh:</span></div>
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<span style="font-family: inherit;">Ar H = 1 </span></div>
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<span style="font-family: inherit;">Ar Ne = 20 </span></div>
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<span style="font-family: inherit;">Ar Ar = 4</span></div>
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</div>
</li>
<li><div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;"> Massa molekul relatif (Mr), adalah jumlah keseluruhan massa atom relatif (Ar) unsur-unsur penyusun senyawa.</span></div>
</li>
<li><div align="justify" style="line-height: 150%; margin-bottom: 0in;">
<span style="font-family: inherit;"> Mol (n), adalah satuan banyaknya partikel yang besarnya merupakan hasil bagi massa suatu unsur (senyawa) dengan massa relatifnya (Ar atau Mr).</span></div>
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<span style="font-family: inherit;"><img height="41" hspace="8" name="Object1" src="data:image/png;base64,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" 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<span style="font-family: inherit;"> Bilangan Avogadro, adalah bilangan yang menyatakan jumlah partikel dalam satu mol.</span></div>
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<span style="font-family: inherit;">N A = 6,0<sup>23</sup> x 10 <sup>23</sup> partikel/mol</span></div>
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<span style="font-family: inherit;">N = n N<sub>A </sub> </span></div>
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<span style="font-family: inherit;">N adalah jumlah total partikel.</span></div>
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<span style="font-family: inherit;">Hukum-hukum tentang gas dari Boyle, Charles, Gay Lussac, dan Boyle-Gay Lussac diperoleh dengan menjaga satu atau lebih variabel dalam keadaan konstan untuk mengetahui akibat dari perubahan satu variabel. Berdasarkan Hukum Boyle–Gay Lussac diperoleh:</span></div>
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<span style="font-family: inherit;">PV/T = konstan atau PV/T = k</span></div>
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<span style="font-family: inherit;">Apabila jumlah partikel berubah, maka volume gas juga akan berubah. Hal ini berarti bahwa harga PV/T adalah tetap, bergantung pada banyaknya partikel (N ) yang terkandung dalam gas. Persamaan di atas dapat dituliskan:</span></div>
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<span style="font-family: inherit;">PV/T = N . k</span></div>
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<span style="font-family: inherit;">P . V = N . k . T </span></div>
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<span style="font-family: inherit;">(i)</span></div>
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<span style="font-family: inherit;">k = konstanta Boltzmann, (k = 1,38 x 10<sup>-23 </sup>J/K)</span></div>
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<span style="font-family: inherit;">Karena N = n.N<sub>A</sub> , maka:</span></div>
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<span style="font-family: inherit;">P.V = n.N<sub>A</sub> .k.T</span></div>
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<span style="font-family: inherit;">(ii)</span></div>
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<span style="font-family: inherit;">N<sub>A </sub>.k = R, yang merupakan konstanta gas umum yang besarnya sama untuk semua gas, maka persamaan (ii) menjadi:</span></div>
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<span style="font-family: inherit;">P.V = n.R.T</span></div>
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<span style="font-family: inherit;">(5)</span></div>
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<span style="font-family: inherit;">dengan: </span></div>
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<span style="font-family: inherit;">P = tekanan gas (N/m<sup>2</sup>) </span></div>
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<span style="font-family: inherit;">V = volume gas (m<sup>3</sup>) </span></div>
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<span style="font-family: inherit;">n = jumlah mol </span></div>
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<span style="font-family: inherit;">T = suhu mutlak (K) </span></div>
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<span style="font-family: inherit;">R = konstanta gas umum (J/mol.K) </span></div>
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<span style="font-family: inherit;">R = N A .k </span></div>
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<span style="font-family: inherit;">R = (6,0<sup>23 </sup>x 10<sup>23</sup>) (1,38 x 10 <sup>-23</sup> ) </span></div>
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<span style="font-family: inherit;">R = 8,31 J/mol.K = 0,082 L.atm/mol.K </span></div>
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<span style="font-family: inherit;">Persamaan (5) disebut persamaan umum gas ideal.</span></div>
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gold.roger3425http://www.blogger.com/profile/11241720279056588223noreply@blogger.com0tag:blogger.com,1999:blog-6629470753799285607.post-25285237777181738052016-05-28T13:44:00.000-07:002017-10-15T00:09:14.481-07:00Materi Penjelasan tentang Teori kinetik Gas<div dir="ltr" style="text-align: left;" trbidi="on">
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Sebagaimana telah diketahui bahwa gas terdiri dari partikel-partikel yang tersusun tidak teratur. Jarak antarpartikel relatif jauh sehingga gaya tarik antarpartikel sangat lemah. Partikel-partikel selalu bergerak dengan laju tinggi memenuhi tempatnya,<br />
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Sehingga pada saat terjadi tumbukan antarpartikel, gaya tarik tidak cukup kuat untuk menjaga partikel-partikelnya tetap dalam satu kesatuan. Teori kinetik muncul dengan anggapan bahwa partikel- partikel gas selalu bergerak terus-menerus. </div>
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Gas yang tersusun atas satu unsur atom disebut gas monoatomik. Semua unsur gas mulia (golongan VIII) merupakan gas monoatomik, yaitu helium (He), neon (Ne), radon (Rn), argon (Ar), kripton (Kr), dan xenon (Xe). Helium dengan Ar = 4, digunakan dalam kapal, balon udara, dan penyelam. Neon dengan Ar = 20, digunakan untuk papan reklame neon dan cahaya fluoresen.<br />
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Radon dengan Ar = 222, terbentuk dari hasil peluruhan radioaktif radium. Argon dengan Ar = 40, digunakan pada bohlam listrik dan tabung fluoresen. Kripton dengan Ar = 84, digunakan pada beberapa tabung laser, fluoresen, dan di dalam cahaya stroboskopik bandara. Xenon dengan Ar = 131, digunakan untuk mengisi tabung fluoresen dan bohlam. </div>
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<img alt="Lampu Pijar - Bohlam listrik diisi dengan gas argon" border="0" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhfXydSZJlQq7Uu4MBO-Nk6J8mSN9GtYTrrFRIwqnjblKT_6-T8r04sO8c6nTmEU0pgHkfFrRIuZCL4Ibr2u8nZ-6KH-akPiYpZVVIAs-JDa1v9hVPa2FcF9LLyWjawSHGkkwCl8UipYKc/s320/lampu+pijar.jpg" title="Bohlam listrik diisi dengan gas argon" width="240" /></div>
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Bohlam listrik diisi dengan gas argon.</div>
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Pada postingan kali ini, pembahasan dibatasi pada gas ideal, yaitu gas yang mempunyai sifat-sifat yang sama pada kondisi yang sama. Dalam kondisi riil, gas yang berada pada tekanan rendah dan jauh dari titik cair, dianggap mempunyai sifat-sifat seperti gas ideal. Persamaan- persamaan tentang gas ideal adalah Hukum Boyle, Hukum Gay Lussac, Hukum Boyle-Gay Lussac, dan persamaan gas ideal. Kita juga akan membahas mengenai tekanan, suhu, dan energi kinetik yang dikaitkan dengan tingkah laku partikel gas. Dalam pembahasannya, tidak mungkin melakukan perhitungan untuk setiap partikel, melainkan sifat gas secara keseluruhan sebagai hasil rata- rata dari partikel-partikel penyusun gas.</div>
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Gas ideal adalah gas yang memenuhi anggapan- anggapan berikut ini. </div>
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<ol>
<li>Gas terdiri atas partikel-partikel yang jumlahnya sangat banyak. </li>
<li>Partikel-partikel gas bergerak dengan laju dan arah yang beraneka ragam, serta memenuhi Hukum Gerak Newton.</li>
<li>Partikel gas tersebar merata pada seluruh bagian ruangan yang ditempati. </li>
<li>Tidak ada gaya interaksi antarpartikel, kecuali ketika partikel bertumbukan. </li>
<li>Tumbukan yang terjadi antarpartikel atau antara partikel dengan dinding wadah adalah lenting sempurna. </li>
<li>Ukuran partikel sangat kecil dibandingkan jarak antara partikel, sehingga bersama-sama volumenya dapat diabaikan terhadap volume ruang yang ditempati.</li>
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Pada Pembahasan Selanjutnya kita akan mempelajari Hukum-hukum tentang gas.</div>
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gold.roger3425http://www.blogger.com/profile/11241720279056588223noreply@blogger.com0tag:blogger.com,1999:blog-6629470753799285607.post-44381001582626409312016-05-28T13:38:00.000-07:002017-10-15T00:10:10.629-07:00Penjelasan tentang Tegangan Permukaan<div dir="ltr" style="text-align: left;" trbidi="on">
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<span style="font-family: inherit;">Apabila sebuah silet diletakkan mendatar pada permukaan air dengan hati-hati, ternyata silet terapung. Padahal massa jenis silet lebih besar dari massa jenis air. Zat cair yang keluar dari suatu pipet bukan sebagai aliran tetapi sebagai tetesan. Demikian juga, nyamuk atau serangga dapat hinggap di permukaan air. Peristiwa-peristiwa tersebut berhubungan dengan gaya-gaya yang bekerja pada permukaan zat cair, atau pada batas antara zat cair dengan bahan lain. Jika kita amati contoh-contoh di atas, ternyata permukaan air tertekan ke bawah karena berat silet atau nyamuk. Jadi, permukaan air tampak seperti kulit yang tegang. Sifat tegang permukaan air inilah yang disebut tegangan permukaan. </span></div>
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<span style="font-family: inherit;">Tegangan permukaan zat cair dapat dijelaskan dengan memerhatikan gaya yang dialami oleh partikel zat cair. Jika dua partikel zat cair berdekatan akan terjadi gaya tarik-menarik.</span></div>
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<span style="font-family: inherit;"><img alt="Anggang- anggang dapat hinggap di permukaan air karena adanya tegangan permukaan." border="0" height="240" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEglcy20I6SGaw_kLTz1WRTUpul10jFry5yfNU5M_pkWwIk7BLphbwS47gA6rp4K8xUn8rcF2gzW_wSdgUFT7GK1LinyUFBIzyKiN26HTs_tsuBpOqALd2YxcI8X8W9jZpn4B_FY5zhidyM/s320/tegangan+permukaan.jpg" title="Anggang- anggang dapat hinggap di permukaan air karena adanya tegangan permukaan." width="320" /></span></div>
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<span style="font-family: inherit;">Anggang- anggang dapat hinggap di permukaan air karena adanya tegangan permukaan.</span></div>
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<span style="font-family: inherit;">Gaya tarik-menarik antara partikel-partikel yang sejenis disebut kohesi. Gambar berikut melukiskan sebuah molekul di dalam zat cair yang dapat dianggap sebagai sebuah bola besar sehingga gaya kohesi di luar bola diabaikan. </span></div>
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<img alt="Gaya tarik- menarik antara partikel di dalam zat cair dan di permukaan zat cair" border="0" height="188" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiJ0tNiGA3hsfBU6CfWPRZXaJdkZhgJWZFnQjXIRoVreGPXyxnXZSZTbTKDle7al3KzdrOioxz18RK7TE78YMVm69v4eM3XlFzQNDKwxVM9DTWEtQqtgX9o67fCHFdrElWVUqzre3WN5h8/s320/Gaya+tarik-menarik+antara+partikel.png" title="Gaya tarik- menarik antara partikel di dalam zat cair dan di permukaan zat cair" width="320" /></div>
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<span style="font-family: inherit;">Gaya tarik- menarik antara partikel di dalam zat cair (A) dan di permukaan zat cair (B).</span></div>
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<span style="font-family: inherit;">Bola A adalah molekul yang berada dalam zat cair, sedangkan bola B adalah molekul yang berada di permukaan zat cair. Pada bola A, bekerja gaya sama besar ke segala arah sehingga resultan gaya yang bekerja pada A sama dengan nol. </span></div>
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<span style="font-family: inherit;">Pada bola B, hanya bekerja gaya P yang arahnya ke bawah dan ke samping, sehingga resultan gaya-gaya yang bekerja berarah ke bawah. Resultan gaya ini yang mengakibatkan lapisan atas zat cair seakan-akan tertutup oleh selaput yang elastis. </span></div>
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<span style="font-family: inherit;">Secara kuantitatif, tegangan permukaan didefinisikan sebagai besarnya gaya yang dialami oleh tiap satuan panjang pada permukaan zat cair yang dirumuskan:</span></div>
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<span style="font-family: inherit;">γ = F/<i>l</i></span></div>
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<span style="font-family: inherit;">dengan: </span></div>
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<span style="font-family: inherit;">γ = tegangan permukaan (N/m) </span></div>
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<span style="font-family: inherit;">F = gaya pada permukaan zat cair (N) </span></div>
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<span style="font-family: inherit;"><i>l </i>= panjang permukaan (m) </span></div>
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<span style="font-family: inherit;">Besarnya tegangan permukaan zat cair dapat ditentukan dengan menggunakan sebuah kawat yang dibengkokkan sehingga berbentuk U. Selanjutnya, seutas kawat lurus dipasang sehingga dapat bergerak pada kaki- kaki kawat U,. Perhatikan gambar berikut:</span></div>
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<span style="font-family: inherit;"><img alt="Tegangan permukaan pada kawat" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj9y0iwDU-RUOrIGbU-rh9GRzj2ERGwxblF93-nA5gw1-ctPVrk1yHMebrc7DYpOF7oebQ7sspaqGiZuS3TUDlexSoqsQ2tXoxmfIPrlJ3vDfDKktSOF-Qf78QtvGtNP65_3HerMdK8lww/s400/Tegangan+permukaan+pada+kawat.png" title="Tegangan permukaan pada kawat" /></span></div>
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<span style="font-family: inherit;">Tegangan permukaan pada kawat.</span></div>
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<span style="font-family: inherit;">Jika kawat dicelupkan ke dalam larutan sabun dan diangkat keluar, maka kawat lurus akan tertarik ke atas. Apabila berat w<sub>1 </sub>tidak terlalu besar, maka dapat diseimbangkan dengan menambah beban w<sub>2</sub>. Dalam keadaan setimbang kawat lurus dapat digeser tanpa mengubah keseimbangannya selama suhunya tetap. Pada keadaan setimbang, maka gaya permukaan air sabun sama dengan gaya berat kawat lurus dijumlahkan dengan berat beban. </span></div>
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<span style="font-family: inherit;">F = w<sub>1</sub> + w<sub>2 </sub></span></div>
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<span style="font-family: inherit;">Karena lapisan air sabun memiliki dua permukaan maka gaya permukaan bekerja sepanjang 2<i> l </i>, maka tegangan permukaan zat cair dapat dinyatakan:</span></div>
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<span style="font-family: inherit;">γ = F/2<i>l</i></span></div>
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