{"id":233,"date":"2023-06-23T15:25:50","date_gmt":"2023-06-23T15:25:50","guid":{"rendered":"https:\/\/physigeek.com\/id\/hukum-gravitasi-universal\/"},"modified":"2023-06-23T15:25:50","modified_gmt":"2023-06-23T15:25:50","slug":"hukum-gravitasi-universal","status":"publish","type":"post","link":"https:\/\/physigeek.com\/id\/hukum-gravitasi-universal\/","title":{"rendered":"Hukum gravitasi universal"},"content":{"rendered":"<p>Pada artikel ini kita akan melihat apa saja isi hukum gravitasi universal. Jadi, selain penjelasan hukum gravitasi universal, Anda juga akan menemukan rumusnya dan penyelesaian penerapan hukum gravitasi universal. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-la-ley-de-la-gravitacion-universal\"><\/span> Apa hukum gravitasi universal?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Hukum gravitasi universal<\/strong> (atau <strong>hukum gravitasi<\/strong> ) adalah hukum fisika yang menggambarkan gaya tarik menarik dua benda bermassa. Dengan kata lain, hukum gravitasi universal digunakan untuk menghitung gaya gravitasi.<\/p>\n<p> Hukum gravitasi universal terutama digunakan untuk menyelesaikan masalah fisika yang berkaitan dengan ruang. Misalnya, hukum gravitasi universal dapat digunakan untuk menentukan gaya tarik menarik antara dua planet.<\/p>\n<p> Hukum gravitasi universal ditemukan oleh fisikawan Inggris Isaac Newton. Secara khusus, Newton menerbitkan bukunya <em>Philosophiae Naturalis Principia Mathematica<\/em> pada tanggal 5 Juli 1687, di mana ia menjelaskan bahwa gaya gravitasi yang menarik dua benda harus <em>sebanding dengan hasil kali massa benda-benda tersebut dibagi jarak antara keduanya kuadrat.<\/em> . <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formula-de-la-ley-de-la-gravitacion-universal\"><\/span> Rumus hukum gravitasi universal<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Rumus hukum gravitasi universal<\/strong> adalah sebagai berikut: <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/formule-de-la-loi-de-la-gravitation-universelle.png\" alt=\"rumus hukum gravitasi universal\" class=\"wp-image-3886\" width=\"308\" height=\"308\" srcset=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/formule-de-la-loi-de-la-gravitation-universelle-300x300.png 300w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/formule-de-la-loi-de-la-gravitation-universelle-150x150.png 150w, https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/formule-de-la-loi-de-la-gravitation-universelle.png 664w\" sizes=\"(max-width: 300px) 100vw, 300px\"><\/figure>\n<p style=\"margin-bottom:5px\"> Emas: <\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:8px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-88df03c55e081c7cd9da4e7d74ba7265_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"F\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah gaya gravitasi. <\/span><\/li>\n<li style=\"margin-bottom:8px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-1e40206e25474f738eeb7ca968031abf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"G\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah konstanta gravitasi universal, yang nilainya adalah<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-9d75ef18969b22581b72ad88a7def60c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"6,674\\cdot 10^{-11} \\ N\\cdot m^2\/kg^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"192\" style=\"vertical-align: -5px;\"><\/p>\n<p> . <\/span><\/li>\n<li style=\"margin-bottom:8px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-e3e79e30048f792c43354f7c6054de0d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m_1\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"22\" style=\"vertical-align: -3px;\"><\/p>\n<p> adalah massa suatu benda, dinyatakan dalam kilogram. <\/span><\/li>\n<li style=\"margin-bottom:8px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-d914817f9fb1ae99a883e4aa4e83d17d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m_2\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"23\" style=\"vertical-align: -3px;\"><\/p>\n<p> adalah massa benda lain, dinyatakan dalam kilogram.<\/span><\/li>\n<li><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-01bcf7e9e043561da78fecf715c8a46e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah jarak antara dua benda, dinyatakan dalam meter.<\/span><\/li>\n<\/ul>\n<p> Perhatikan bahwa gaya yang digunakan suatu benda untuk menarik benda lain dan gaya yang digunakan benda kedua untuk menarik benda pertama mempunyai besar dan arah yang sama, tetapi maknanya berlawanan.<\/p>\n<p> Oleh karena itu, gaya gravitasi yang menarik dua benda satu sama lain bergantung pada jarak antara benda tersebut dan massanya. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplo-de-la-ley-de-la-gravitacion-universal\"><\/span> Contoh hukum gravitasi universal<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Setelah kita mengetahui arti hukum gravitasi universal, berikut adalah contoh nyata untuk memahami maknanya.<\/p>\n<ul>\n<li> Diketahui massa Bumi kira-kira 5.972 \u00b7 10 <sup>24<\/sup> kg, massa Bulan 7.349 \u00b7 10 <sup>22<\/sup> kg, dan jarak Bumi ke Bulan 384.400 km, berapakah gaya gravitasi yang bekerja antara kedua bintang tersebut?<\/li>\n<\/ul>\n<p> Logikanya, untuk menghitung gaya gravitasi yang bekerja antara Bumi dan Bulan, kita harus menggunakan rumus hukum gravitasi universal, yaitu:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-57e3d7c8cff5618725c17d6395aa0faf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"F=G\\cdot \\cfrac{m_1\\cdot m_2}{r^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"34\" width=\"126\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Namun untuk menggunakan rumus ini, semua nilai parameter harus dinyatakan dalam satuan SI. Jadi sebelum melakukan perhitungan kita harus mengubah jarak kedua benda tersebut menjadi meter:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-980cbb00c0ede9706e4bf3fc32501f28_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"384400 \\ km \\cdot 1000 =384400000 \\ m\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"257\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Dan sekarang kita mengganti data tersebut ke dalam rumus dan menghitung gaya gravitasi antara Bumi dan Bulan: <\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-0a4555c06e4a522cfcb1a04b186dd0df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} F&amp; =G\\cdot \\cfrac{m_1\\cdot m_2}{d^2}\\\\[2ex] &amp;= 6,674\\cdot 10^{-11} \\cdot \\cfrac{5,972\\cdot 10^{24} \\cdot 7,349\\cdot 10^{22}}{384400000^2}\\\\[2ex]&amp;=1,98\\cdot 10^{20} \\ N\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"138\" width=\"341\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Deduccion-de-la-aceleracion-de-la-gravedad\"><\/span> Menyimpulkan percepatan gravitasi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Percepatan gravitasi dapat disimpulkan dari hukum gravitasi universal dan hukum kedua Newton. Nah, pada bagian ini kita akan melihat bagaimana nilai gravitasi di Bumi dihitung.<\/p>\n<p> Diketahui rumus hukum gravitasi universal:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-1b2fb7e5c6e3a51cc52274e1cfc9680f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"F=G\\cdot \\cfrac{m_1\\cdot m_2}{d^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"34\" width=\"126\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Sedangkan rumus hukum kedua Newton adalah:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-0e679cd4d053043f7e9e1df2560978a9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"F=m\\cdot a \" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"75\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Namun, jika kita menerapkan hukum kedua Newton untuk menentukan gaya yang digunakan bumi untuk menarik suatu benda ke permukaannya,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-0e55b0b3943237ccfc96979505679274_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah percepatan gravitasi bumi yang akan kita sebut<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-066af2df822db6afa29ce26750e057ac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g \" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p> Dan<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-fdc40b8ad1cdad0aab9d632215459d28_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah massa benda yang ditarik oleh bumi.<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-88dff8a08c0236dc79243cdd3360199c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"F=m\\cdot g \" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"75\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> Demikian pula, jika kita menggunakan hukum gravitasi universal untuk menghitung gaya tarik suatu benda ke permukaan bumi, rumusnya tetap:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-c3e71aca6bd350d470d63179563a249d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"F=G\\cdot \\cfrac{m\\cdot M_T}{R^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"123\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Emas<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-fdc40b8ad1cdad0aab9d632215459d28_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah massa benda,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-123d84a8b247c49b96705ff23fbe6517_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"M_T\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"27\" style=\"vertical-align: -3px;\"><\/p>\n<p> adalah massa bumi dan<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-d6abdd487c56e5efbb2c9522ed4b9360_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"R\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah jari-jari bumi.<\/p>\n<p> Jadi kedua gaya tersebut harus sama karena dihitung sama, sehingga bisa disamakan:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-5fa00df8b4ec6d646c360d3bcedbd4af_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\" m\\cdot g=G\\cdot \\cfrac{m\\cdot M_T}{R^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"147\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Sekarang kita hilangkan percepatan gravitasi dari persamaan: <\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-3ca0669beb7f7b3c2f94cc0375d74ece_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\" g=G\\cdot \\cfrac{m\\cdot M_T}{R^2\\cdot m}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"118\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-769b24c5cdfb27828cf601af1c4c8eb6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\" g=G\\cdot \\cfrac{\\cancel{m}\\cdot M_T}{R^2\\cdot \\cancel{m}}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"118\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-b53c870a624399681c6a36e063ea387d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\" g=G\\cdot \\cfrac{M_T}{R^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"89\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Terakhir, kita substitusikan data tersebut ke dalam rumus dan hitung nilai percepatan gravitasi:<\/p>\n<p class=\"has-text-align-center\"> [lateks] g=6.674\\cdot 10^{-11}\\cdot \\cfrac{5.972\\cdot 10^{24}}{6371000^2}=9.81 \\\\cfrac{m}{s^2}[\/ lateks]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Pada artikel ini kita akan melihat apa saja isi hukum gravitasi universal. Jadi, selain penjelasan hukum gravitasi universal, Anda juga akan menemukan rumusnya dan penyelesaian penerapan hukum gravitasi universal. Apa hukum gravitasi universal? Hukum gravitasi universal (atau hukum gravitasi ) adalah hukum fisika yang menggambarkan gaya tarik menarik dua benda bermassa. Dengan kata lain, hukum &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/id\/hukum-gravitasi-universal\/\"> <span class=\"screen-reader-text\">Hukum gravitasi universal<\/span> Baca selengkapnya &quot;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[5],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.4 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Hukum 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