{"id":234,"date":"2023-06-23T15:25:50","date_gmt":"2023-06-23T15:25:50","guid":{"rendered":"https:\/\/physigeek.com\/pt\/lei-da-gravitacao-universal\/"},"modified":"2023-06-23T15:25:50","modified_gmt":"2023-06-23T15:25:50","slug":"lei-da-gravitacao-universal","status":"publish","type":"post","link":"https:\/\/physigeek.com\/pt\/lei-da-gravitacao-universal\/","title":{"rendered":"Lei da gravita\u00e7\u00e3o universal"},"content":{"rendered":"<p>Neste artigo veremos em que consiste a lei da gravita\u00e7\u00e3o universal. Assim, al\u00e9m da explica\u00e7\u00e3o da lei da gravita\u00e7\u00e3o universal, voc\u00ea encontrar\u00e1 sua f\u00f3rmula e um exerc\u00edcio resolvido da lei da gravita\u00e7\u00e3o universal. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-la-ley-de-la-gravitacion-universal\"><\/span> Qual \u00e9 a lei da gravita\u00e7\u00e3o universal?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A <strong>lei da gravita\u00e7\u00e3o universal<\/strong> (ou <strong>lei da gravidade<\/strong> ) \u00e9 uma lei f\u00edsica que descreve a for\u00e7a com a qual dois corpos com massa se atraem. Em outras palavras, a lei da gravita\u00e7\u00e3o universal \u00e9 usada para calcular a for\u00e7a da gravidade.<\/p>\n<p> A lei da gravita\u00e7\u00e3o universal \u00e9 usada principalmente para resolver problemas f\u00edsicos relacionados ao espa\u00e7o. Por exemplo, a lei da gravita\u00e7\u00e3o universal pode ser usada para determinar a for\u00e7a de atra\u00e7\u00e3o entre dois planetas.<\/p>\n<p> A lei da gravita\u00e7\u00e3o universal foi descoberta pelo f\u00edsico ingl\u00eas Isaac Newton. Especificamente, Newton publicou seu livro <em>Philosophiae Naturalis Principia Mathematica<\/em> em 5 de julho de 1687, no qual explicava que a for\u00e7a gravitacional com a qual dois corpos se atraem deve ser <em>proporcional ao produto de suas massas dividido pela dist\u00e2ncia entre eles ao quadrado.<\/em> . <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formula-de-la-ley-de-la-gravitacion-universal\"><\/span> F\u00f3rmula da lei da gravita\u00e7\u00e3o universal<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A <strong>f\u00f3rmula da lei da gravita\u00e7\u00e3o universal<\/strong> \u00e9 a seguinte: <\/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=\"f\u00f3rmula da lei da gravita\u00e7\u00e3o 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=\"auto, (max-width: 300px) 100vw, 300px\"><\/figure>\n<p style=\"margin-bottom:5px\"> Ouro: <\/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> \u00e9 a for\u00e7a gravitacional. <\/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> \u00e9 a constante gravitacional universal, cujo valor \u00e9<\/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> \u00e9 a massa de um corpo, expressa em quilogramas. <\/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> \u00e9 a massa do outro corpo, expressa em quilogramas.<\/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> \u00e9 a dist\u00e2ncia entre os dois corpos, expressa em metros.<\/span><\/li>\n<\/ul>\n<p> Observe que a for\u00e7a com que um corpo atrai outro corpo e a for\u00e7a com que o segundo corpo atrai o primeiro corpo t\u00eam a mesma magnitude e dire\u00e7\u00e3o, mas seu significado \u00e9 oposto.<\/p>\n<p> Portanto, a for\u00e7a gravitacional com a qual dois corpos se atraem depende da dist\u00e2ncia entre eles e suas massas. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplo-de-la-ley-de-la-gravitacion-universal\"><\/span> Exemplo da lei da gravita\u00e7\u00e3o universal<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Agora que sabemos o significado da lei da gravita\u00e7\u00e3o universal, aqui est\u00e1 um exemplo concreto para finalizar a compreens\u00e3o do seu significado.<\/p>\n<ul>\n<li> Sabendo que a massa da Terra \u00e9 de aproximadamente 5,972 10 <sup>24<\/sup> kg, a massa da Lua \u00e9 de 7,349 10 <sup>22<\/sup> kg e a dist\u00e2ncia entre a Terra e a Lua \u00e9 de 384 400 km, qual \u00e9 a for\u00e7a gravitacional que atua entre as duas estrelas?<\/li>\n<\/ul>\n<p> Logicamente, para calcular a for\u00e7a da gravidade que atua entre a Terra e a Lua, devemos utilizar a f\u00f3rmula da lei da gravita\u00e7\u00e3o universal, que \u00e9:<\/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> No entanto, para usar esta f\u00f3rmula, todos os valores dos par\u00e2metros devem ser expressos em unidades SI. Portanto, antes de fazer o c\u00e1lculo devemos converter a dist\u00e2ncia entre os dois corpos em metros:<\/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> E agora substitu\u00edmos os dados na f\u00f3rmula e calculamos a for\u00e7a gravitacional entre a Terra e a Lua: <\/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> Inferindo a acelera\u00e7\u00e3o da gravidade<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A acelera\u00e7\u00e3o da gravidade pode ser deduzida da lei da gravita\u00e7\u00e3o universal e da segunda lei de Newton. Portanto, nesta se\u00e7\u00e3o veremos como \u00e9 calculado o valor da gravidade na Terra.<\/p>\n<p> Dada a f\u00f3rmula da lei da gravita\u00e7\u00e3o 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> Por outro lado, a f\u00f3rmula da segunda lei de Newton \u00e9:<\/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> Contudo, se aplicarmos a segunda lei de Newton para determinar a for\u00e7a com que a Terra atrai um objeto para a sua superf\u00edcie,<\/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> \u00e9 a acelera\u00e7\u00e3o da gravidade na Terra que chamaremos<\/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> E<\/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> s\u00e3o a massa do objeto atra\u00eddo pela Terra.<\/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> Da mesma forma, se usarmos a lei da gravita\u00e7\u00e3o universal para calcular a for\u00e7a com que um objeto \u00e9 atra\u00eddo para a superf\u00edcie da Terra, a f\u00f3rmula permanece:<\/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> Ouro<\/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> \u00e9 a massa do objeto,<\/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> \u00e9 a massa da Terra e<\/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> \u00e9 o raio da Terra.<\/p>\n<p> Portanto as duas for\u00e7as devem ser iguais j\u00e1 que a mesma coisa \u00e9 calculada, para que possam ser equalizadas:<\/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> Agora removemos a acelera\u00e7\u00e3o da gravidade da equa\u00e7\u00e3o: <\/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\"> Por fim, substitu\u00edmos os dados na f\u00f3rmula e calculamos o valor da acelera\u00e7\u00e3o da gravidade:<\/p>\n<p class=\"has-text-align-center\"> [l\u00e1tex] g=6,674\\cdot 10^{-11}\\cdot \\cfrac{5,972\\cdot 10^{24}}{6371000^2}=9,81 \\\\cfrac{m}{s^2}[\/ l\u00e1tex]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Neste artigo veremos em que consiste a lei da gravita\u00e7\u00e3o universal. Assim, al\u00e9m da explica\u00e7\u00e3o da lei da gravita\u00e7\u00e3o universal, voc\u00ea encontrar\u00e1 sua f\u00f3rmula e um exerc\u00edcio resolvido da lei da gravita\u00e7\u00e3o universal. Qual \u00e9 a lei da gravita\u00e7\u00e3o universal? A lei da gravita\u00e7\u00e3o universal (ou lei da gravidade ) \u00e9 uma lei f\u00edsica que &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/pt\/lei-da-gravitacao-universal\/\"> <span class=\"screen-reader-text\">Lei da gravita\u00e7\u00e3o universal<\/span> Leia mais &raquo;<\/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":[],"class_list":["post-234","post","type-post","status-publish","format-standard","hentry","category-dinamico"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.4 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Lei da gravita\u00e7\u00e3o universal (f\u00f3rmula e exemplo)<\/title>\n<meta name=\"description\" content=\"Aqui voc\u00ea encontrar\u00e1 o que \u00e9 a lei da gravita\u00e7\u00e3o universal, a f\u00f3rmula da lei da gravita\u00e7\u00e3o universal e um exemplo concreto passo a passo.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/physigeek.com\/pt\/lei-da-gravitacao-universal\/\" \/>\n<meta property=\"og:locale\" content=\"pt_BR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 Lei da gravita\u00e7\u00e3o universal (f\u00f3rmula e exemplo)\" \/>\n<meta property=\"og:description\" content=\"Aqui voc\u00ea encontrar\u00e1 o que \u00e9 a lei da gravita\u00e7\u00e3o universal, a f\u00f3rmula da lei da gravita\u00e7\u00e3o universal e um exemplo concreto passo a passo.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/physigeek.com\/pt\/lei-da-gravitacao-universal\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-06-23T15:25:50+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/formule-de-la-loi-de-la-gravitation-universelle.png\" \/>\n<meta name=\"author\" content=\"Jonathan Reynolds\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Escrito por\" \/>\n\t<meta name=\"twitter:data1\" content=\"Jonathan Reynolds\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. tempo de leitura\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/physigeek.com\/pt\/lei-da-gravitacao-universal\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/physigeek.com\/pt\/lei-da-gravitacao-universal\/\"},\"author\":{\"name\":\"Jonathan Reynolds\",\"@id\":\"https:\/\/physigeek.com\/pt\/#\/schema\/person\/dbb0dcefd6128273c4dc80a663ede0f7\"},\"headline\":\"Lei da gravita\u00e7\u00e3o universal\",\"datePublished\":\"2023-06-23T15:25:50+00:00\",\"dateModified\":\"2023-06-23T15:25:50+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/physigeek.com\/pt\/lei-da-gravitacao-universal\/\"},\"wordCount\":675,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/physigeek.com\/pt\/#organization\"},\"articleSection\":[\"Din\u00e2mico\"],\"inLanguage\":\"pt-BR\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/physigeek.com\/pt\/lei-da-gravitacao-universal\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/physigeek.com\/pt\/lei-da-gravitacao-universal\/\",\"url\":\"https:\/\/physigeek.com\/pt\/lei-da-gravitacao-universal\/\",\"name\":\"\u25b7 Lei da gravita\u00e7\u00e3o universal (f\u00f3rmula e exemplo)\",\"isPartOf\":{\"@id\":\"https:\/\/physigeek.com\/pt\/#website\"},\"datePublished\":\"2023-06-23T15:25:50+00:00\",\"dateModified\":\"2023-06-23T15:25:50+00:00\",\"description\":\"Aqui voc\u00ea encontrar\u00e1 o que \u00e9 a lei da gravita\u00e7\u00e3o universal, a f\u00f3rmula da lei da gravita\u00e7\u00e3o universal e um exemplo concreto passo a passo.\",\"breadcrumb\":{\"@id\":\"https:\/\/physigeek.com\/pt\/lei-da-gravitacao-universal\/#breadcrumb\"},\"inLanguage\":\"pt-BR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/physigeek.com\/pt\/lei-da-gravitacao-universal\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/physigeek.com\/pt\/lei-da-gravitacao-universal\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Lar\",\"item\":\"https:\/\/physigeek.com\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Lei da gravita\u00e7\u00e3o universal\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/physigeek.com\/pt\/#website\",\"url\":\"https:\/\/physigeek.com\/pt\/\",\"name\":\"Physigeek\",\"description\":\"Aprenda f\u00edsica da maneira mais f\u00e1cil!\",\"publisher\":{\"@id\":\"https:\/\/physigeek.com\/pt\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/physigeek.com\/pt\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"pt-BR\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/physigeek.com\/pt\/#organization\",\"name\":\"Physigeek\",\"url\":\"https:\/\/physigeek.com\/pt\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pt-BR\",\"@id\":\"https:\/\/physigeek.com\/pt\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/physigeek.com\/pt\/wp-content\/uploads\/2023\/10\/physigeek-logo.png\",\"contentUrl\":\"https:\/\/physigeek.com\/pt\/wp-content\/uploads\/2023\/10\/physigeek-logo.png\",\"width\":180,\"height\":42,\"caption\":\"Physigeek\"},\"image\":{\"@id\":\"https:\/\/physigeek.com\/pt\/#\/schema\/logo\/image\/\"}},{\"@type\":\"Person\",\"@id\":\"https:\/\/physigeek.com\/pt\/#\/schema\/person\/dbb0dcefd6128273c4dc80a663ede0f7\",\"name\":\"Jonathan Reynolds\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pt-BR\",\"@id\":\"https:\/\/physigeek.com\/pt\/#\/schema\/person\/image\/\",\"url\":\"http:\/\/physigeek.com\/pt\/wp-content\/uploads\/2023\/10\/Jonathan-Reynolds-96x96.jpg\",\"contentUrl\":\"http:\/\/physigeek.com\/pt\/wp-content\/uploads\/2023\/10\/Jonathan-Reynolds-96x96.jpg\",\"caption\":\"Jonathan Reynolds\"},\"sameAs\":[\"http:\/\/physigeek.com\/pt\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u25b7 Lei da gravita\u00e7\u00e3o universal (f\u00f3rmula e exemplo)","description":"Aqui voc\u00ea encontrar\u00e1 o que \u00e9 a lei da gravita\u00e7\u00e3o universal, a f\u00f3rmula da lei da gravita\u00e7\u00e3o universal e um exemplo concreto passo a passo.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/physigeek.com\/pt\/lei-da-gravitacao-universal\/","og_locale":"pt_BR","og_type":"article","og_title":"\u25b7 Lei da gravita\u00e7\u00e3o universal (f\u00f3rmula e exemplo)","og_description":"Aqui voc\u00ea encontrar\u00e1 o que \u00e9 a lei da gravita\u00e7\u00e3o universal, a f\u00f3rmula da lei da gravita\u00e7\u00e3o universal e um exemplo concreto passo a passo.","og_url":"https:\/\/physigeek.com\/pt\/lei-da-gravitacao-universal\/","article_published_time":"2023-06-23T15:25:50+00:00","og_image":[{"url":"https:\/\/physigeek.com\/wp-content\/uploads\/2023\/09\/formule-de-la-loi-de-la-gravitation-universelle.png"}],"author":"Jonathan Reynolds","twitter_card":"summary_large_image","twitter_misc":{"Escrito por":"Jonathan Reynolds","Est. tempo de leitura":"3 minutos"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/physigeek.com\/pt\/lei-da-gravitacao-universal\/#article","isPartOf":{"@id":"https:\/\/physigeek.com\/pt\/lei-da-gravitacao-universal\/"},"author":{"name":"Jonathan Reynolds","@id":"https:\/\/physigeek.com\/pt\/#\/schema\/person\/dbb0dcefd6128273c4dc80a663ede0f7"},"headline":"Lei da gravita\u00e7\u00e3o universal","datePublished":"2023-06-23T15:25:50+00:00","dateModified":"2023-06-23T15:25:50+00:00","mainEntityOfPage":{"@id":"https:\/\/physigeek.com\/pt\/lei-da-gravitacao-universal\/"},"wordCount":675,"commentCount":0,"publisher":{"@id":"https:\/\/physigeek.com\/pt\/#organization"},"articleSection":["Din\u00e2mico"],"inLanguage":"pt-BR","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/physigeek.com\/pt\/lei-da-gravitacao-universal\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/physigeek.com\/pt\/lei-da-gravitacao-universal\/","url":"https:\/\/physigeek.com\/pt\/lei-da-gravitacao-universal\/","name":"\u25b7 Lei da gravita\u00e7\u00e3o universal (f\u00f3rmula e exemplo)","isPartOf":{"@id":"https:\/\/physigeek.com\/pt\/#website"},"datePublished":"2023-06-23T15:25:50+00:00","dateModified":"2023-06-23T15:25:50+00:00","description":"Aqui voc\u00ea encontrar\u00e1 o que \u00e9 a lei da gravita\u00e7\u00e3o universal, a f\u00f3rmula da lei da gravita\u00e7\u00e3o universal e um exemplo concreto passo a passo.","breadcrumb":{"@id":"https:\/\/physigeek.com\/pt\/lei-da-gravitacao-universal\/#breadcrumb"},"inLanguage":"pt-BR","potentialAction":[{"@type":"ReadAction","target":["https:\/\/physigeek.com\/pt\/lei-da-gravitacao-universal\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/physigeek.com\/pt\/lei-da-gravitacao-universal\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Lar","item":"https:\/\/physigeek.com\/pt\/"},{"@type":"ListItem","position":2,"name":"Lei da gravita\u00e7\u00e3o universal"}]},{"@type":"WebSite","@id":"https:\/\/physigeek.com\/pt\/#website","url":"https:\/\/physigeek.com\/pt\/","name":"Physigeek","description":"Aprenda f\u00edsica da maneira mais f\u00e1cil!","publisher":{"@id":"https:\/\/physigeek.com\/pt\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/physigeek.com\/pt\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"pt-BR"},{"@type":"Organization","@id":"https:\/\/physigeek.com\/pt\/#organization","name":"Physigeek","url":"https:\/\/physigeek.com\/pt\/","logo":{"@type":"ImageObject","inLanguage":"pt-BR","@id":"https:\/\/physigeek.com\/pt\/#\/schema\/logo\/image\/","url":"https:\/\/physigeek.com\/pt\/wp-content\/uploads\/2023\/10\/physigeek-logo.png","contentUrl":"https:\/\/physigeek.com\/pt\/wp-content\/uploads\/2023\/10\/physigeek-logo.png","width":180,"height":42,"caption":"Physigeek"},"image":{"@id":"https:\/\/physigeek.com\/pt\/#\/schema\/logo\/image\/"}},{"@type":"Person","@id":"https:\/\/physigeek.com\/pt\/#\/schema\/person\/dbb0dcefd6128273c4dc80a663ede0f7","name":"Jonathan Reynolds","image":{"@type":"ImageObject","inLanguage":"pt-BR","@id":"https:\/\/physigeek.com\/pt\/#\/schema\/person\/image\/","url":"http:\/\/physigeek.com\/pt\/wp-content\/uploads\/2023\/10\/Jonathan-Reynolds-96x96.jpg","contentUrl":"http:\/\/physigeek.com\/pt\/wp-content\/uploads\/2023\/10\/Jonathan-Reynolds-96x96.jpg","caption":"Jonathan Reynolds"},"sameAs":["http:\/\/physigeek.com\/pt"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/physigeek.com\/pt\/wp-json\/wp\/v2\/posts\/234","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/physigeek.com\/pt\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/physigeek.com\/pt\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/physigeek.com\/pt\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/physigeek.com\/pt\/wp-json\/wp\/v2\/comments?post=234"}],"version-history":[{"count":0,"href":"https:\/\/physigeek.com\/pt\/wp-json\/wp\/v2\/posts\/234\/revisions"}],"wp:attachment":[{"href":"https:\/\/physigeek.com\/pt\/wp-json\/wp\/v2\/media?parent=234"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/physigeek.com\/pt\/wp-json\/wp\/v2\/categories?post=234"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/physigeek.com\/pt\/wp-json\/wp\/v2\/tags?post=234"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}