Yuk, belajar tentang elastisitas zat padat dan Hukum Hooke secara lengkap di artikel Fisika kelas 11 ini! Mulai dari modulus elastisitas, rumus, contoh soal, hingga contoh penerapannya dalam kehidupan sehari-hari!
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Saat sedang berkendara, kamu pasti pernah melewati polisi tidur di jalan. Eits! polisi tidur yang dimaksud bukan polisi yang sedang tiduran di jalan, ya. Tapi, tambahan aspal/semen yang dipasang melintang di jalan guna memperlambat kecepatan kendaraan. Nah, saat melewati polisi tidur, kendaraanmu akan sedikit berguncang karena pengaruh dari tinggi polisi tidur tersebut. Apalagi kalau polisi tidurnya ada banyak, terus jaraknya berdekatan. Hmm…
Untungnya, setiap kendaraan memiliki alat yang berfungsi untuk mengatasi setiap guncangan yang terjadi di sepanjang perjalanan. Peredam kejut atau shock absorber nama kerennya. Peredam kejut akan menyerap setiap guncangan dan mengubahnya menjadi gerakan yang elastis.
Peredam kejut (shock absorber) pada motor (sumber: motomaxx.id)
Perlu kamu ketahui, peredam kejut sangat penting untuk keselamatan. Tanpa adanya alat ini, bisa-bisa kendaraanmu akan terpental saat melewati polisi tidur atau jalan yang tidak rata permukaannya. Kalau kamu lihat gambar di atas, bentuk peredam kejut terlihat seperti pegas, ya. Hal ini yang menyebabkan sifatnya menjadi elastis. Eh, tapi, ngomong-ngomong masalah elastis, memangnya elastis itu apa, sih?
Konsep Elastisitas pada Benda Padat
Oke, sebelumnya, mari kita lakukan eksperimen sederhana. Coba kamu cari dua macam benda berbeda, yaitu pegas dan lilin mainan (plastisin). Kemudian, kamu tarik kedua benda tersebut secara bergantian dan lihat apa yang terjadi?
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Pegas akan kembali ke bentuk semula setelah ditarik, sedangkan lilin mainan akan berubah ke bentuk yang baru, yaitu menjadi lebih panjang. Pasti itu jawabannya. Tapi, kenapa bisa begitu, ya?
Jadi gini, pada dasarnya, semua benda yang ada di bumi dapat mengalami perubahan bentuk (deformasi) apabila diberikan sejumlah gaya. Kemungkinannya seperti percobaan di atas tadi.
Yap! Benda tersebut dapat kembali ke bentuk semula saat gaya yang diberikan dihilangkan atau benda tersebut berubah menjadi bentuk yang baru. Kalau gaya yang diberikan pada benda terlalu besar dan benda sudah melewati titik maksimalnya untuk meregang, bisa jadi benda tersebut akan hancur, lho!
Pengertian Elastisitas Zat Padat
Nah, kemampuan yang dimiliki benda untuk kembali ke kondisi awalnya saat gaya yang diberikan pada benda tersebut dihilangkan disebut elastisitas atau benda tersebut memiliki sifat yang elastis. Contohnya seperti pegas, karet gelang, per, dsb.
Sementara itu, jika benda tidak memiliki kemampuan untuk kembali lagi ke kondisi awalnya saat gaya yang diberikan dihilangkan, maka benda tersebut memiliki sifat plastis. Contohnya adalah plastisin, plastik, permen karet, tanah liat, dsb.
Umumnya, setiap benda yang memiliki sifat elastis pasti juga akan memiliki sifat plastis. Lho, kok bisa? Oke, misalnya saja, pegas yang kamu gunakan pada eksperimen pertama tadi kamu rentangkan secara terus-menerus dengan gaya yang semakin kuat. Apa yang akan terjadi?
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Hubungan Antara Gaya dengan Pertambahan Panjang Benda Elastis
Mula-mula, mungkin pegas akan tetap kembali ke bentuk semula bila gaya yang kamu berikan tidak terlalu besar. Tapi, apabila pegas kamu rentangkan dengan gaya yang lebih besar lagi, ada saatnya pegas menjadi kendur dan sampai di titik tertentu, pegas tidak dapat kembali ke bentuk semula (plastis).
Kondisi ini menandakan kalau elastisitas pegas sudah terlampaui. Jika gaya terus diperbesar sampai melewati kemampaunnya untuk meregang, maka pegas akan patah. Hubungan antara gaya yang diberikan pada pegas dengan pertambahan panjang pegas dapat dibuat kedalam bentuk grafik seperti gambar berikut ini.
Coba kamu perhatikan, ya. Garis lurus OA menunjukkan bahwa gaya F akan sebanding dengan pertambahan panjang pegas (ΔL). Ketika gaya F diperbesar lagi sampai melampaui titik A, ternyata garis pada grafik sudah tidak lurus lagi. Hal ini menandakan, batas linearitas pegas sudah terlampaui, namun pegas masih bisa kembali ke bentuk semula. Oleh karena itu, daerah yang dibatasi oleh titik O sampai B disebut daerah elastis.
Apabila gaya F semakin diperbesar hingga melewati titik B, batas elastisitas sudah terlampaui. Akibatnya, setelah gaya F dihilangkan, pegas tidak bisa kembali ke bentuk semula (pegas akan bersifat plastis).
Nah, kalau gaya F terus diperbesar sampai titik C, pegas akan patah. Itulah mengapa tidak menutup kemungkinan benda yang bersifat elastis dapat menjadi plastis atau bahkan hancur. Balik lagi ke seberapa besar gaya yang diberikan pada benda tersebut.
Gaya yang menyebabkan perubahan bentuk benda akan sebanding dengan besaran yang disebut dengan tegangan. Sementara itu, hasil perubahan bentuk benda akibat tegangan disebut regangan yang berupa pertambahan panjang dari benda tersebut. Materi tegangan dan regangan dapat kamu pelajari lebih lengkap pada artikel Perbedaan Tegangan dan Regangan, ya.
Modulus Elastisitas (Young)
Menurut Robert Hooke, perbandingan antara tegangan dengan regangan suatu benda disebut dengan modulus elastisitas (young) benda tersebut. Secara matematis, modulus elastisitas dapat dirumuskan sebagai berikut:
Nah, sekarang, supaya kamu semakin paham, kita coba latihan soal, yuk. Kita kerjakan sama-sama, ya.
Contoh Soal:
Andi memiliki sebatang logam besi dengan panjang 1 m dan luas permukaan 1 cm2. Kemudian, Andi menarik logam besi tersebut menggunakan mesin dengan gaya sebesar 5.000 N. Jika panjang akhir logam besi tersebut adalah 1,1 m, berapakah modulus elastisitas logam besi tersebut?
Pembahasan:
Diketahui:
Pertama-tama, kita perlu mencari besar tegangannya terlebih dahulu:
Setelah mencari besar tegangan, kita lanjut mencari besar regangannya:
Modulus elastisitasnya dapat diperoleh sebagai berikut:
Jadi, besar modulus elastisitas pada logam besi adalah sebesar 5 x 108 N/m2.
Berdasarkan eksperimen sebelumnya, kamu jadi tahu kalau sifat elastisitas suatu benda ada batasannya dan besar gaya yang diberikan suatu benda akan sebanding dengan pertambahan panjang benda tersebut. Hal ini juga telah lebih dulu disimpulkan oleh ilmuwan bernama Robert Hooke melalui percobaannya pada pegas. Oleh sebab itu, Hooke akhirnya membuat suatu hukum yang diberi nama dengan Hukum Hooke.
Konsep Hukum Hooke
Hubungan antara besar gaya dengan pertambahan panjang pegas pertama kali diamati oleh Robert Hooke, seorang ahli kimia dan matematika berkebangsaan Inggris. Hooke membuat hukum, yaitu Hukum Hooke yang menjelaskan tentang besar gaya maksimum yang dapat diberikan pada benda elastis agar tidak melewati batas elastisitasnya dan menghilangkan sifat elastis benda tersebut.
Besarnya gaya (F) akan berbanding lurus dengan pertambahan panjang pegas dari keadaan awalnya (ΔL). Artinya, semakin besar gaya yang diberikan, maka semakin besar juga pertambahan panjang pegasnya.
Di bawah ini ada contoh soalnya, nih. Kita coba kerjakan, yuk!
Contoh Soal:
Sebuah pegas dengan konstanta sebesar 1.000 N/m ditarik dengan gaya sebesar 100 N. Berapakah pertambahan panjang pegas tersebut ?
Pembahasan:
Diketahui:
Besar pertambahan pegas dapat kita cari menggunakan rumus Hukum Hooke seperti berikut:
Jadi, besar pertambahan pegasnya adalah 0,1 meter.
Penerapan Konsep Hukum Hooke dalam Kehidupan
Konsep Hukum Hooke ternyata banyak sekali diterapkan pada benda-benda disekitar kita. Selain penerapannya pada peredam kejut (shock absorber) kendaraan, beberapa contoh benda yang menerapkan konsep Hukum Hooke antara lain kasur pegas (spring bed), ketapel, busur panah, neraca pegas, sampai benda yang sering kamu gunakan sehari-hari. Apakah itu? Hayooo ada yang bisa menebak?
Yap! Betul. Per pada pulpen!
Tidak hanya itu saja, lho! Masih banyak benda-benda lain yang menggunakan konsep Hukum Hooke ini. Coba, tulis di kolom komentar ya bagi kamu yang tahu.
Wah, selesai sudah ya materi kita kali ini. Gimana? Seru nggak nih pembahasannya? Oh iya, kamu juga bisa pelajari materi elastisitas dan Hukum Hooke dengan lebih lengkap dan menarik lagi di ruangbelajar, loh. Di sana, juga ada banyak latihan soal yang bisa kamu kerjakan untuk mengasah kemampuan kamu terhadap materi ini. Yuk, langganan, yuk!
Artikel ini telah diperbarui pada 31 Agustus 2022.
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<h1 class="content-title">
Penjelasan Konsep Elastisitas Zat Padat & Hukum Hooke | Fisika Kelas 11 </h1>
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<p class="content-author"><a href="https://www.ruangguru.com/blog/author/hani-ammariah" class="">Hani Ammariah</a> </p>
<p class="content-info"><span>August 31, 2022 • </span> <span>6 minutes read</span></p>
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<p style="text-align: justify;"><img decoding="async" style="width: 820px; margin-left: auto; margin-right: auto; display: block;" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/Elastisitas%20Zat%20Padat%20dan%20Konsep%20Hukum%20Hooke%20-%20Fisika%2011.jpg" alt="Elastisitas Zat Padat dan Konsep Hukum Hooke - Fisika 11" width="820" /></p>
<blockquote>
<p style="text-align: center; font-size: 16px;"><em>Yuk, belajar tentang elastisitas zat padat dan Hukum Hooke secara lengkap di <a style="font-weight: bold;" href="/blog/tag/fisika-xi" rel="noopener">artikel Fisika kelas 11</a> ini! Mulai dari modulus elastisitas, rumus, contoh soal, hingga contoh penerapannya dalam kehidupan sehari-hari!</em></p>
<p style="text-align: center; font-size: 16px;"><em>—</em></p>
</blockquote>
<p><span id="more-1828"></span></p>
<p style="text-align: justify;">Saat sedang berkendara, kamu pasti pernah melewati polisi tidur di jalan. <em>Eits</em>! polisi tidur yang dimaksud bukan polisi yang sedang tiduran di jalan, ya. Tapi, tambahan aspal/semen yang dipasang melintang di jalan guna memperlambat kecepatan kendaraan. <em>Nah</em>, saat melewati polisi tidur, kendaraanmu akan sedikit berguncang karena pengaruh dari tinggi polisi tidur tersebut. Apalagi kalau polisi tidurnya ada banyak, terus jaraknya berdekatan. <em>Hmm</em>…</p>
<p style="text-align: justify;">Untungnya, setiap kendaraan memiliki alat yang berfungsi untuk mengatasi setiap guncangan yang terjadi di sepanjang perjalanan. Peredam kejut atau <em>shock absorber</em> nama kerennya. Peredam kejut akan menyerap setiap guncangan dan mengubahnya menjadi gerakan yang elastis.</p>
<p><img decoding="async" style="width: 600px; display: block; margin: 0px auto;" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/Fisika%20Kelas%2011%20%7C%20Elastisitas%20Zat%20Padat%20dan%20Hukum%20Hooke.jpeg" alt="elastisitas dan hukum hooke - gambar shock absorber" width="600" /></p>
<p style="text-align: center;"><em>Peredam kejut (shock absorber) pada motor (sumber: motomaxx.id)</em></p>
<p style="text-align: justify;">
<p style="text-align: justify;">Perlu kamu ketahui, peredam kejut sangat penting untuk keselamatan. Tanpa adanya alat ini, bisa-bisa kendaraanmu akan terpental saat melewati polisi tidur atau jalan yang tidak rata permukaannya. Kalau kamu lihat gambar di atas, bentuk peredam kejut terlihat seperti pegas, ya. Hal ini yang menyebabkan sifatnya menjadi elastis. <em>Eh</em>, tapi, ngomong-ngomong masalah elastis, memangnya elastis itu apa, <em>sih</em>?</p>
<p style="text-align: justify;">
<h2 style="font-size: 20px;">Konsep Elastisitas pada Benda Padat</h2>
<p style="text-align: justify;">Oke, sebelumnya, mari kita lakukan eksperimen sederhana. Coba kamu cari dua macam benda berbeda, yaitu pegas dan lilin mainan (plastisin). Kemudian, kamu tarik kedua benda tersebut secara bergantian dan lihat apa yang terjadi?</p>
<p style="text-align: justify; font-weight: bold;">Baca Juga: <a href="/blog/momen-inersia" rel="noopener">Cara Gampang Memahami Konsep Momen Inersia</a></p>
<p style="text-align: justify;">Pegas akan kembali ke bentuk semula setelah ditarik, sedangkan lilin mainan akan berubah ke bentuk yang baru, yaitu menjadi lebih panjang. Pasti itu jawabannya. Tapi, kenapa bisa begitu, ya?</p>
<p style="text-align: justify;">Jadi gini, pada dasarnya, semua benda yang ada di bumi dapat mengalami perubahan bentuk (deformasi) apabila diberikan sejumlah gaya. Kemungkinannya seperti percobaan di atas tadi.</p>
<p style="text-align: justify;"><em>Yap</em>! Benda tersebut dapat kembali ke bentuk semula saat gaya yang diberikan dihilangkan atau benda tersebut berubah menjadi bentuk yang baru. Kalau gaya yang diberikan pada benda terlalu besar dan benda sudah melewati titik maksimalnya untuk meregang, bisa jadi benda tersebut akan hancur, <em>lho</em>!</p>
<p style="text-align: justify;">
<h3 style="text-align: justify; font-size: 16px;">Pengertian Elastisitas Zat Padat</h3>
<p style="text-align: justify;"><em>Nah</em>, kemampuan yang dimiliki benda untuk kembali ke kondisi awalnya saat gaya yang diberikan pada benda tersebut dihilangkan disebut <strong>elastisitas </strong>atau benda tersebut memiliki sifat yang elastis. Contohnya seperti pegas, karet gelang, per, dsb.</p>
<p style="text-align: justify;">Sementara itu, jika benda tidak memiliki kemampuan untuk kembali lagi ke kondisi awalnya saat gaya yang diberikan dihilangkan, maka benda tersebut memiliki sifat <strong>plastis</strong>. Contohnya adalah plastisin, plastik, permen karet, tanah liat, dsb.</p>
<p><img decoding="async" style="width: 600px; margin-left: auto; margin-right: auto; display: block;" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/Elastisitas%20Zat%20Padat%20dan%20Hukum%20Hooke%20-%20Perbandingan%20Sifat%20Elastis%20dan%20Plastis.jpg" alt="Elastisitas Zat Padat dan Hukum Hooke - Perbandingan Sifat Elastis dan Plastis" width="600" /></p>
<p> </p>
<p style="text-align: justify;">Umumnya, setiap benda yang memiliki sifat elastis pasti juga akan memiliki sifat plastis. <em>Lho</em>, <em>kok</em> bisa? Oke, misalnya saja, pegas yang kamu gunakan pada eksperimen pertama tadi kamu rentangkan secara terus-menerus dengan gaya yang semakin kuat. Apa yang akan terjadi?</p>
<p style="text-align: justify; font-weight: bold;">Baca Juga: <a href="/blog/rangkaian-listrik-seri-dan-paralel-pada-pegas-dan-resistor" rel="noopener">Begini Bentuk Rangkaian Seri dan Paralel pada Pegas serta Resistor</a></p>
<p style="text-align: justify; font-weight: bold;">
<h3 style="text-align: justify; font-size: 16px;">Hubungan Antara Gaya dengan Pertambahan Panjang Benda Elastis</h3>
<p style="text-align: justify;">Mula-mula, mungkin pegas akan tetap kembali ke bentuk semula bila gaya yang kamu berikan tidak terlalu besar. Tapi, apabila pegas kamu rentangkan dengan gaya yang lebih besar lagi, ada saatnya pegas menjadi kendur dan sampai di titik tertentu, pegas tidak dapat kembali ke bentuk semula (plastis).</p>
<p style="text-align: justify;">Kondisi ini menandakan kalau elastisitas pegas sudah terlampaui. Jika gaya terus diperbesar sampai melewati kemampaunnya untuk meregang, maka pegas akan patah. Hubungan antara gaya yang diberikan pada pegas dengan pertambahan panjang pegas dapat dibuat kedalam bentuk grafik seperti gambar berikut ini.</p>
<p><img decoding="async" style="width: 600px; margin-left: auto; margin-right: auto; display: block;" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/Elastisitas%20Zat%20Padat%20dan%20Hukum%20Hooke%20-%20Grafik%20Hubungan%20Gaya%20dengan%20Pertambahan%20Panjang%20Pegas.jpg" alt="Elastisitas Zat Padat dan Hukum Hooke - Grafik Hubungan Gaya dengan Pertambahan Panjang Pegas" width="600" /></p>
<p> </p>
<p style="text-align: justify;">Coba kamu perhatikan, ya. <strong>Garis lurus OA</strong> menunjukkan bahwa <strong>gaya F</strong> akan <strong>sebanding</strong> dengan <strong>pertambahan panjang pegas</strong> (ΔL). Ketika <strong>gaya F diperbesar</strong> lagi sampai <strong>melampaui titik A</strong>, ternyata <strong>garis</strong> pada grafik sudah <strong>tidak lurus lagi</strong>. Hal ini menandakan, <strong>batas linearitas pegas sudah terlampaui</strong>, namun pegas masih bisa kembali ke bentuk semula. Oleh karena itu, daerah yang dibatasi oleh titik O sampai B disebut daerah elastis.</p>
<p style="text-align: justify;">Apabila <strong>gaya F semakin diperbesar</strong> hingga <strong>melewati titik B</strong>, batas elastisitas sudah terlampaui. Akibatnya, setelah gaya F dihilangkan, <strong>pegas tidak bisa kembali ke bentuk semula</strong> (pegas akan bersifat plastis).</p>
<p style="text-align: justify;"><em>Nah</em>, kalau <strong>gaya F</strong> terus <strong>diperbesar sampai titik C</strong>, <strong>pegas akan patah</strong>. Itulah mengapa tidak menutup kemungkinan benda yang bersifat elastis dapat menjadi plastis atau bahkan hancur. Balik lagi ke seberapa besar gaya yang diberikan pada benda tersebut.</p>
<p style="text-align: justify;">Gaya yang menyebabkan perubahan bentuk benda akan sebanding dengan besaran yang disebut dengan <strong>tegangan</strong>. Sementara itu, hasil perubahan bentuk benda akibat tegangan disebut <strong>regangan </strong>yang berupa pertambahan panjang dari benda tersebut. Materi tegangan dan regangan dapat kamu pelajari lebih lengkap pada artikel <a style="font-weight: bold;" href="/blog/perbedaan-tegangan-dan-regangan" rel="noopener">Perbedaan Tegangan dan Regangan</a><span style="color: #444444;">, ya.</span></p>
<p style="text-align: justify;">
<h2 style="text-align: justify; font-size: 20px;">Modulus Elastisitas (Young)</h2>
<p style="text-align: justify;">Menurut Robert Hooke, perbandingan antara tegangan dengan regangan suatu benda disebut dengan <strong>modulus elastisitas (<em>young</em>) </strong>benda tersebut. Secara matematis, modulus elastisitas dapat dirumuskan sebagai berikut:</p>
<p><img decoding="async" style="width: 600px; margin-left: auto; margin-right: auto; display: block;" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/Elastisitas%20Zat%20Padat%20dan%20Hukum%20Hooke%20-%20Rumus%20Modulus%20Elastisitas%20(Young).jpg" alt="Elastisitas Zat Padat dan Hukum Hooke - Rumus Modulus Elastisitas (Young)" width="600" /></p>
<p> </p>
<p style="text-align: justify;"><em>Nah</em>, sekarang, supaya kamu semakin paham, kita coba latihan soal, <em>yuk</em>. Kita kerjakan sama-sama, ya.</p>
<p><span style="color: #000000;"><strong>Contoh Soal:</strong></span></p>
<p style="text-align: justify;">Andi memiliki sebatang logam besi dengan panjang 1 m dan luas permukaan 1 cm<sup>2</sup>. Kemudian, Andi menarik logam besi tersebut menggunakan mesin dengan gaya sebesar 5.000 N. Jika panjang akhir logam besi tersebut adalah 1,1 m, berapakah modulus elastisitas logam besi tersebut?</p>
<p><span style="color: #000000;"><strong>Pembahasan:</strong></span></p>
<p>Diketahui:</p>
<p><img decoding="async" style="width: 227px;" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/hukum%20hooke.png" alt="elastisitas dan hukum hooke" width="227" /></p>
<p>Pertama-tama, kita perlu mencari besar tegangannya terlebih dahulu:</p>
<p><img decoding="async" style="width: 181px; display: block; margin-left: auto; margin-right: auto;" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/hukum%20hooke%201.png" alt="elastisitas dan hukum hooke" width="181" /></p>
<p>Setelah mencari besar tegangan, kita lanjut mencari besar regangannya:</p>
<p><img decoding="async" style="width: 98px; display: block; margin-left: auto; margin-right: auto;" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/hukum%20hooke%202.png" alt="elastisitas dan hukum hooke" width="98" /></p>
<p>Modulus elastisitasnya dapat diperoleh sebagai berikut:</p>
<p><img decoding="async" style="width: 181px; display: block; margin-left: auto; margin-right: auto;" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/hukum%20hooke%203.png" alt="elastisitas dan hukum hooke" width="181" /></p>
<p>Jadi, besar modulus elastisitas pada logam besi adalah sebesar 5 x 10<sup>8 </sup>N/m<sup>2</sup>.</p>
<p style="text-align: justify;">Berdasarkan eksperimen sebelumnya, kamu jadi tahu kalau sifat elastisitas suatu benda ada batasannya dan besar gaya yang diberikan suatu benda akan sebanding dengan pertambahan panjang benda tersebut. Hal ini juga telah lebih dulu disimpulkan oleh ilmuwan bernama Robert Hooke melalui percobaannya pada pegas. Oleh sebab itu, Hooke akhirnya membuat suatu hukum yang diberi nama dengan <strong>Hukum Hooke</strong>.</p>
<p style="text-align: justify;">
<h2 style="font-size: 20px;">Konsep Hukum Hooke</h2>
<p style="text-align: justify;">Hubungan antara besar gaya dengan pertambahan panjang pegas pertama kali diamati oleh Robert Hooke, seorang ahli kimia dan matematika berkebangsaan Inggris. Hooke membuat hukum, yaitu Hukum Hooke yang <strong>menjelaskan tentang besar gaya maksimum yang dapat diberikan pada benda elastis agar tidak melewati batas elastisitasnya</strong> dan menghilangkan sifat elastis benda tersebut.</p>
<p style="text-align: justify;">Besarnya gaya (F) akan berbanding lurus dengan pertambahan panjang pegas dari keadaan awalnya (ΔL). Artinya, semakin besar gaya yang diberikan, maka semakin besar juga pertambahan panjang pegasnya.</p>
<p><img decoding="async" style="width: 600px; margin-left: auto; margin-right: auto; display: block;" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/Elastisitas%20Zat%20Padat%20dan%20Hukum%20Hooke%20-%20Rumus%20Hukum%20Hooke-1.jpg" alt="Elastisitas Zat Padat dan Hukum Hooke - Rumus Hukum Hooke-1" width="600" /></p>
<p> </p>
<p>Di bawah ini ada contoh soalnya, <em>nih</em>. Kita coba kerjakan, <em>yuk</em>!</p>
<p><span style="color: #000000;"><strong>Contoh Soal:</strong></span></p>
<p style="text-align: justify;">Sebuah pegas dengan konstanta sebesar 1.000 N/m ditarik dengan gaya sebesar 100 N. Berapakah pertambahan panjang pegas tersebut ?</p>
<p><span style="color: #000000;"><strong>Pembahasan:</strong></span></p>
<p>Diketahui:</p>
<p><img decoding="async" style="width: 139px;" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/hukum%20hooke%204.png" alt="hukum hooke 4" width="139" /></p>
<p>Besar pertambahan pegas dapat kita cari menggunakan rumus Hukum Hooke seperti berikut:</p>
<p><img decoding="async" style="width: 149px; display: block; margin: 0px auto;" src="https://cdn-web.ruangguru.com/landing-pages/assets/hs/hukum%20hooke%205.png" alt="elastisitas hukum hooke" width="149" /></p>
<p>Jadi, besar pertambahan pegasnya adalah 0,1 meter.</p>
<p> </p>
<h3 style="font-size: 16px;">Penerapan Konsep Hukum Hooke dalam Kehidupan</h3>
<p style="text-align: justify;">Konsep Hukum Hooke ternyata banyak sekali diterapkan pada benda-benda disekitar kita. Selain penerapannya pada peredam kejut (<em>shock absorber</em>) kendaraan, beberapa contoh benda yang menerapkan konsep Hukum Hooke antara lain <span style="font-weight: bold;">kasur pegas (<em>spring bed</em>), ketapel, busur panah, neraca pegas</span>, sampai benda yang sering kamu gunakan sehari-hari. Apakah itu? <em>Hayooo</em> ada yang bisa menebak?</p>
<p style="text-align: justify;"><em>Yap</em>! Betul. Per pada pulpen!</p>
<p style="text-align: justify;">Tidak hanya itu saja, <em>lho</em>! Masih banyak benda-benda lain yang menggunakan konsep Hukum Hooke ini. Coba, tulis di kolom komentar ya bagi kamu yang tahu.</p>
<p style="text-align: justify;"><em>Wah</em>, selesai sudah ya materi kita kali ini. Gimana? Seru <em>nggak nih</em> pembahasannya? Oh iya, kamu juga bisa pelajari materi elastisitas dan Hukum Hooke dengan lebih lengkap dan menarik lagi di <a style="font-weight: bold;" href="https://ruangguru.onelink.me/blPk/eaff0eb9" target="_blank" rel="noopener">ruangbelajar</a>, <em>loh</em>. Di sana, juga ada banyak latihan soal yang bisa kamu kerjakan untuk mengasah kemampuan kamu terhadap materi ini. <em>Yuk</em>, langganan, <em>yuk</em>!</p>
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<p style="font-weight: bold;"><em>Artikel ini telah diperbarui pada 31 Agustus 2022.</em></p>
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<div class="col-6 col-md-3">
<nav class="footer-menu">
<p class="title"> Coba GRATIS Aplikasi Ruangguru</p>
<div class="download-list">
<ul>
<li>
<a target="_blank" rel="nofollow" href="https://apps.apple.com/id/app/ruangguru-solusi-belajar/id1099742206?l=id">
<img src="https://cdn-web-2.ruangguru.com/static/appstore.png" loading="lazy" alt="Button App Store Footer " />
</a>
</li>
<li>
<a target="_blank" rel="nofollow" href="https://play.google.com/store/apps/details?id=com.ruangguru.livestudents&hl=in">
<img src="https://cdn-web-2.ruangguru.com/static/googleplay.png" loading="lazy" alt="Button Google Play Footer " />
</a>
</li>
<li>
<a target="_blank" rel="nofollow" href="https://appgallery.huawei.com/#/app/C102352375">
<img src="https://cdn-web-2.ruangguru.com/static/huawei.png" loading="lazy" alt="Button AppGallery Footer " />
</a>
</li>
</ul>
</div>
</nav>
</div>
</div>
</div>
</div>
<div class="d-lg-none text-center">
<nav class="footer-menu social">
<p class="title">Ikuti Kami</p>
<a target="_blank" href="https://www.instagram.com/ruangguru/">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/instagram.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/instagram.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/instagram.png" loading="lazy" alt="Logo Instagram Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.facebook.com/ruanggurucom/">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/facebook.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/facebook.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/facebook.png" loading="lazy" alt="Logo Facebook Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://twitter.com/ruangguru/">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/twitter.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/twitter.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/twitter.png" loading=" lazy" alt="Logo Twitter Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.youtube.com/ruangguru">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/youtube.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/youtube.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/youtube.png" loading=" lazy" alt="Logo Youtube Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.linkedin.com/company/ruangguru-com">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/linkedin.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/linkedin.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/linkedin.png" loading=" lazy" alt="Logo LinkedIn Footer" width="32px" height="32px" />
</picture>
</a>
<a target="_blank" href="https://www.tiktok.com/@ruangguru">
<picture>
<source srcset="https://cdn-web-2.ruangguru.com/static/tiktok.png?height=60&convert=webp" type="image/webp">
<source srcset="https://cdn-web-2.ruangguru.com/static/tiktok.png?height=60" type="image/png">
<img src="https://cdn-web-2.ruangguru.com/static/tiktok.png" loading=" lazy" alt="Logo TikTok Footer" width="32px" height="32px" />
</picture>
</a>
</nav>
</div>
<p class="footer-copyright">
© 2026 All Rights Reserved PT. Ruang Raya Indonesia
</p>
</div>
<style>
.bantuan-container {
position: relative;
}
.bantuan-element {
position: fixed;
z-index: 999;
display: flex;
align-items: flex-end;
justify-content: flex-end;
cursor: pointer;
transition: all 0.6s ease;
}
.bantuan-top {
bottom: 11rem;
right: 2rem;
}
.bantuan-bottom {
bottom: 2rem;
right: 2rem;
}
.bantuan-top-2 {
bottom: 15rem;
right: 2rem;
}
.bantuan-top-3 {
bottom: 19rem;
right: 2rem;
}
.bantuan-bottom-2 {
bottom: 5rem;
right: 2rem;
}
.bantuan-bottom-3 {
bottom: 8rem;
right: 2rem;
}
@media (min-width: 768px) {
.bantuan-element img {
width: auto;
transition: all 0.4s ease;
}
.bantuan-top img {
width: 140px;
}
.bantuan-bottom img {
width: 140px;
}
.bantuan-top-2 img,
.bantuan-top-3 img {
width: 140px;
}
.bantuan-bottom-2 img,
.bantuan-bottom-3 img {
width: 140px;
}
.bantuan-element.clicked {
bottom: 9rem;
right: 2.5rem;
}
.bantuan-element.clicked img {
width: auto;
height: 64px;
}
}
@media (max-width: 767px) {
.bantuan-top {
bottom: 8rem;
right: 1rem;
align-items: center;
}
.bantuan-bottom {
bottom: 2rem;
right: 1.25rem;
align-items: center;
}
.bantuan-top-2 {
bottom: 12rem;
right: 1rem;
align-items: center;
}
.bantuan-top-3 {
bottom: 16rem;
right: 1rem;
align-items: center;
}
.bantuan-bottom-2 {
bottom: 5rem;
right: 1.25rem;
align-items: center;
}
.bantuan-bottom-3 {
bottom: 8rem;
right: 1.25rem;
align-items: center;
}
.bantuan-element img {
width: auto;
}
.bantuan-top img,
.bantuan-top-2 img,
.bantuan-top-3 img {
width: 96px;
}
.bantuan-bottom img,
.bantuan-bottom-2 img,
.bantuan-bottom-3 img {
width: 96px;
}
}
.bantuan-element:hover {
transform: scale(1.05);
}
.bantuan-element img {
max-width: 100%;
height: auto;
}
</style>
<div id="bantuan-divs-container" style="position: relative" data-product="ruangguru" data-table="rg_floating_icon"></div>
<script>
class FloatingDivsComponent {
constructor(product = 'ruangguru', table = 'rg_floating_icon') {
this.container = document.getElementById('bantuan-divs-container');
this.floatingElements = [];
this.product = product;
this.table = table;
// Configuration
this.config = {
baseApiUrl: 'https://gw.ruangguru.com/api/v3/rdb/p_ddgy8hjx5dxsqx/rg_banner/views/',
apiKey: 'vLyK3dJrDBRmOwueX2OJXibMkgsUbBk0WS4ua2p1',
maxElements: 2,
zIndexBase: 100,
};
// Build dynamic API URL based on table parameter
this.config.apiUrl = this.buildApiUrl();
this.init();
}
buildApiUrl() {
const baseUrl = this.config.baseApiUrl;
const tableName = this.table || 'rg_floating_icon';
const queryParams =
'offset=0&limit=99999&sort=rankPosition&where=(type,eq,floating)~and(showIn,anyof,blog)~and(hide,is,false)~and(product,eq,' +
this.product +
')&nested%5Bcta%5D%5Bfields%5D=Id,name,ctaId,imageUrl,ctaLink,targetUrl';
return `${baseUrl}${tableName}?${queryParams}`;
}
async init() {
try {
await this.fetchFloatingElements();
this.renderFloatingElements();
} catch (error) {
console.error('Failed to initialize floating divs component:', error);
}
}
async fetchFloatingElements() {
try {
const options = {
method: 'GET',
headers: {
'xc-token': this.config.apiKey || 'vLyK3dJrDBRmOwueX2OJXibMkgsUbBk0WS4ua2p1',
},
};
const urlNoco = this.config.apiUrl;
const response = await fetch(urlNoco, options);
if (!response.ok) {
throw new Error(`HTTP error! status: ${response.status}`);
}
const data = await response.json();
this.floatingElements = this.processApiResponse(data);
} catch (error) {
console.error('Error fetching floating elements:', error);
throw error;
}
}
processApiResponse(data) {
if (!data || !data.list || !Array.isArray(data.list)) {
return [];
}
console.log(data.list);
// Ensure we only get maximum 2 elements
const limitedElements = data.list.slice(0, this.config.maxElements);
return limitedElements;
}
renderFloatingElements() {
if (!this.container || this.floatingElements.length === 0) {
return;
}
// Additional safeguard: ensure we never render more than maxElements
const elementsToRender = this.floatingElements.slice(0, this.config.maxElements);
// Clean up existing elements and their event listeners
this.cleanupExistingElements();
// Clear existing content
this.container.innerHTML = '';
elementsToRender.forEach((element, index) => {
const floatingDiv = this.createFloatingDiv(element, index);
this.container.appendChild(floatingDiv);
});
}
cleanupExistingElements() {
// Clear existing elements (no need for event listener cleanup with CSS approach)
const existingElements = this.container.querySelectorAll('[data-floating-element]');
existingElements.forEach(element => {
element.remove();
});
}
createFloatingDiv(element, index) {
const div = document.createElement('div');
const cta = element.cta[0]; // Use the first CTA
// Add data attribute for cleanup tracking
div.setAttribute('data-floating-element', 'true');
// Apply CSS classes based on rankPosition
const positionClass = this.getPositionClass(element.rankPosition, index);
div.className = `bantuan-element ${positionClass}`;
div.style.zIndex = this.config.zIndexBase + index;
// Create the link and image
const link = document.createElement('a');
link.href = 'https://cta.ruangguru.com/' + cta.ctaId || '#';
link.target = '_blank';
// Add tracking attributes
link.setAttribute('data-tracking-event-type', 'landing_page__core__item_click');
link.setAttribute(
'data-tracking-context',
JSON.stringify({
product_name: this.product,
cta_action: 'redirection',
cta_action_detail: link.href,
item_type: 'floating',
item_name: element.name || 'Floating element',
item_category: 'payment',
item_position: index,
item_serial: null,
section_type: 'floating_item',
section_position: 'body',
section_name: 'floating_item',
})
);
const img = document.createElement('img');
img.src = element.imageUrl + '?h=200&convert=webp';
img.alt = element.name || 'Floating element';
img.loading = 'lazy';
// Add click tracking
link.addEventListener('click', () => {
this.trackClick(element, cta);
});
link.appendChild(img);
div.appendChild(link);
return div;
}
getPositionClass(rankPosition, index) {
// Define positioning classes based on rankPosition
if (rankPosition === 1) {
return 'bantuan-top'; // Top position
} else if (rankPosition === 2) {
return 'bantuan-bottom'; // Bottom position
} else {
// For additional elements, distribute them evenly
return `bantuan-${index % 2 === 0 ? 'top' : 'bottom'}-${Math.floor(index / 2) + 1}`;
}
}
trackClick(element, cta) {
// Implement click tracking logic here
console.log('Floating element clicked:', {
elementId: element.Id,
elementName: cta.name,
ctaId: cta.ctaId,
targetUrl: cta.targetUrl,
});
}
// Public method to manually refresh
async refresh() {
try {
await this.fetchFloatingElements();
this.renderFloatingElements();
} catch (error) {
console.error('Failed to refresh floating elements:', error);
throw error;
}
}
// Public method to get current floating elements
getFloatingElements() {
return [...this.floatingElements];
}
}
// Initialize the component when DOM is ready
document.addEventListener('DOMContentLoaded', () => {
// Get product and table parameters from data attributes
const container = document.getElementById('bantuan-divs-container');
const product = container.getAttribute('data-product') || 'ruangguru';
const table = container.getAttribute('data-table') || 'rg_floating_icon';
new FloatingDivsComponent(product, table);
});
// Export for use in other modules if needed
if (typeof module !== 'undefined' && module.exports) {
module.exports = FloatingDivsComponent;
}
</script> <div id="wp-install-nudge" style="
position: fixed;
bottom: 0rem;
right: 0;
z-index: 999;
cursor: pointer;
"></div>
<script>
(function (w, d, s, o, f, js, fjs) {
w['Sales-Nudge-Widget'] = o; w[o] = w[o] || function () { (w[o].q = w[o].q || []).push(arguments) };
js = d.createElement(s), fjs = d.getElementsByTagName(s)[0];
js.id = o; js.src = f; js.async = 1; fjs.parentNode.insertBefore(js, fjs);
}(window, document, 'script', 'wpInstallNudge', 'https://cdn-web-2.ruangguru.com/sales-nudge/6198a95130/dist/widget.js'));
wpInstallNudge('init', { targetElementId: 'wp-install-nudge', clientTarget: 'ruangguru_blog' });
</script>
<script>
// note: disabled due to auto reload page
// var lastScrollTop = 0;
// $(window).scroll(function(event){
// var st = $(this).scrollTop();
// if (st > lastScrollTop){
// $('#wp-install-nudge').slideDown( "slow", function() {});
// } else {
// $('#wp-install-nudge').slideUp( "slow", function() {});
// }
// lastScrollTop = st;
// });
// $(document).ready(function () {
// $("#wp-install-nudge").hide();
// });
$('#wp-install-nudge').click(function(){
Analytics.track("promotion__install_nudge__click",
{
user_email: "ruangguru@blog.com",
cta_link: widgetData.dataConfig.target_link
}).catch((err) => {
console.log("tracker error", err);
});
});
</script>
</footer>
<div id="__next"></div>
<script type="speculationrules">
{"prefetch":[{"source":"document","where":{"and":[{"href_matches":"\/blog\/*"},{"not":{"href_matches":["\/blog\/wp-*.php","\/blog\/wp-admin\/*","\/blog\/wp-content\/uploads\/*","\/blog\/wp-content\/*","\/blog\/wp-content\/plugins\/*","\/blog\/wp-content\/themes\/ruangguru\/*","\/blog\/*\\?(.+)"]}},{"not":{"selector_matches":"a[rel~=\"nofollow\"]"}},{"not":{"selector_matches":".no-prefetch, .no-prefetch a"}}]},"eagerness":"conservative"}]}
</script>
<script>
async function getCtaDetails(ctaIds) {
const endpoint =
" https://gw.ruangguru.com/api/v3/rdb/p_ddgy8hjx5dxsqx/CTA/views/CTA?offset=0&limit=10&where=(ctaId,in," + ctaIds.toString() + ")";
try {
const response = await fetch(endpoint, {
headers: {
"xc-token": "-hG2nBDJzSj0agSgNtcJx97M4F02y54nUMoY6plJ",
},
});
const data = await response.json();
const ctaList = data?.list || [];
const ctaMap = new Map();
for (const ctaData of ctaList) {
ctaMap.set(ctaData.ctaId, ctaData);
}
return ctaMap;
} catch (error) {
console.error("Error fetching CTA details:", error);
return new Map();
}
}
async function replaceCTA() {
const regex = /{{cta\((‘(.*?)’|“(.*?)”)\)}}/g;
const bodyHTML = document.body.innerHTML;
const matches = Array.from(bodyHTML.matchAll(regex));
const ctaIds = matches.map((match) => {
let ctaId = match[2] ?? match[3];
return ctaId;
});
const ctaMap = await getCtaDetails(ctaIds);
const replacedHTML = bodyHTML.replace(regex, (match, _inner, ctaId1, ctaId2) => {
const ctaId = ctaId1 ?? ctaId2;
const ctaData = ctaMap.get(ctaId);
if (ctaData) {
return `<a href="https://cta.ruangguru.com/${ctaData.ctaId}" target="_${ctaData.targetType}" style="position:relative;display:inline-block;">
<img src="${ctaData.imageUrl}" loading="lazy" alt="${ctaData.altText}" />
</a>`;
} else {
return match;
}
});
document.body.innerHTML = replacedHTML;
}
</script>
<meta name="author" content="Ruangguru Tech Team">
<!-- Google Tag Manager (noscript) -->
<noscript><iframe src="https://www.googletagmanager.com/ns.html?id=GTM-PVNLZFT" height="0" width="0" style="display:none;visibility:hidden"></iframe></noscript>
<!-- Tracker -->
<script type="text/javascript" src="https://cdn-web-2.ruangguru.com/landing-page-web/public/staticpages/global-assets/js/cta.js"></script>
<script src="https://unpkg.com/@dotlottie/player-component@latest/dist/dotlottie-player.mjs" type="module"></script>
</body>
</html>