{"id":238,"date":"2023-06-23T13:31:07","date_gmt":"2023-06-23T13:31:07","guid":{"rendered":"https:\/\/physigeek.com\/pt\/energia-potencial-gravitacional\/"},"modified":"2023-06-23T13:31:07","modified_gmt":"2023-06-23T13:31:07","slug":"energia-potencial-gravitacional","status":"publish","type":"post","link":"https:\/\/physigeek.com\/pt\/energia-potencial-gravitacional\/","title":{"rendered":"Energia potencial gravitacional"},"content":{"rendered":"<p>Neste artigo voc\u00ea aprender\u00e1 o que \u00e9 energia potencial gravitacional, como calcular a energia potencial gravitacional e, al\u00e9m disso, um exerc\u00edcio resolvido para entender melhor o conceito. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-la-energia-potencial-gravitatoria\"><\/span> O que \u00e9 energia potencial gravitacional?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Energia potencial gravitacional<\/strong> , ou simplesmente <strong>energia gravitacional<\/strong> , \u00e9 a energia potencial associada ao campo gravitacional. Simplificando, a energia potencial gravitacional \u00e9 a energia potencial que um corpo adquire quando colocado em um ponto de um campo gravitacional.<\/p>\n<p> Assim, quanto mais pr\u00f3ximo o corpo estiver da massa geradora do campo gravitacional, menor ser\u00e1 sua energia potencial gravitacional. Da mesma forma, quanto mais longe o corpo estiver do centro do campo gravitacional, maior ser\u00e1 a sua energia potencial gravitacional. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formula-de-la-energia-potencial-gravitatoria\"><\/span> F\u00f3rmula para energia potencial gravitacional<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A energia potencial gravitacional em um ponto \u00e9 igual a menos a constante gravitacional universal vezes a massa que cria o campo gravitacional vezes a massa sobre a qual a for\u00e7a gravitacional atua dividida pela dist\u00e2ncia entre as duas massas.<\/p>\n<p> Em outras palavras, a <strong>f\u00f3rmula da energia potencial gravitacional<\/strong> \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-cedb92791ce76778cfdd2b67d5e51227_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle E_p=-G\\cdot \\cfrac{M\\cdot m}{r}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"135\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\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-09b2ab0fbfe1c76e7f3bf527fc17889c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"E_p\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"20\" style=\"vertical-align: -6px;\"><\/p>\n<p> \u00e9 a energia potencial gravitacional, cuja unidade no Sistema Internacional \u00e9 o joule. <\/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-27d6692c77760dc1111628e74a6d272f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"M\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"19\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 a massa do corpo que cria o campo gravitacional, 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-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 corpo sobre o qual atua o campo gravitacional, 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 o corpo que cria o campo gravitacional e o corpo que recebe o efeito do campo gravitacional, expressa em metros. <\/span><\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ejemplo-del-calculo-de-la-energia-potencial-gravitatoria\"><\/span> Exemplo de c\u00e1lculo de energia potencial gravitacional<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Depois de vermos o significado da energia potencial gravitacional, abaixo est\u00e1 um exemplo concreto para que voc\u00ea possa ver como essa quantidade f\u00edsica \u00e9 calculada.<\/p>\n<ul>\n<li> Qual \u00e9 a energia potencial gravitacional adquirida por um corpo de 60 kg localizado a uma dist\u00e2ncia de 80 cm de uma massa de 220 kg?<\/li>\n<\/ul>\n<p> Para determinar a energia potencial gravitacional, precisamos usar a f\u00f3rmula que vimos acima:<\/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-cedb92791ce76778cfdd2b67d5e51227_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle E_p=-G\\cdot \\cfrac{M\\cdot m}{r}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"135\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Por\u00e9m, para utilizar a f\u00f3rmula, todos os valores devem ser expressos em unidades do Sistema Internacional. Portanto, antes de fazer o c\u00e1lculo voc\u00ea deve primeiro converter a dist\u00e2ncia 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-de6501492d43b4869d08fda828c0d6dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\" 80 \\ cm \\div 100 =0,8 \\ m\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"165\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> Agora aplicamos a f\u00f3rmula da energia potencial gravitacional e calculamos seu valor:<\/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-d06d44b4063927438a8ab566279ae4d0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned} \\displaystyle E_p&amp;=-G\\cdot \\cfrac{M\\cdot m}{r}\\\\ &amp;=-6.674\\cdot 10^{-11}\\cdot \\cfrac{220\\cdot 60 }{0.8}\\\\ &amp;=-1.10 \\cdot 10^{-6} \\ J\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"227\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Como voc\u00ea pode ver, o valor da energia potencial gravitacional \u00e9 insignificante com massas da ordem da vida cotidiana. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Propiedades-de-la-energia-potencial-gravitatoria\"><\/span> Propriedades da energia potencial gravitacional<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A energia potencial gravitacional tem as seguintes caracter\u00edsticas:<\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">A energia potencial gravitacional nunca pode ser positiva.<\/span><\/li>\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">E s\u00f3 pode ser de zero ao infinito.<\/span><\/li>\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">A energia potencial gravitacional \u00e9, portanto, sempre negativa.<\/span><\/li>\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">Al\u00e9m disso, a energia potencial gravitacional diminui \u00e0 medida que as massas se aproximam.<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\">Por outro lado, a energia potencial aumenta quando as duas massas se afastam.<\/span> <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Energia-potencial-gravitatoria-y-potencial-gravitatorio\"><\/span> Energia potencial gravitacional e potencial gravitacional<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> O <strong>potencial gravitacional<\/strong> em um ponto indica o trabalho que uma for\u00e7a deve realizar para transportar um corpo com velocidade constante do infinito at\u00e9 aquele ponto no campo gravitacional.<\/p>\n<p> Assim, a energia potencial gravitacional e o potencial gravitacional est\u00e3o relacionados pela seguinte f\u00f3rmula:<\/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-a1eb7284ffd80fab3ea2a559f3ebdcd1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"E_p=V\\cdot m\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"87\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\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-09b2ab0fbfe1c76e7f3bf527fc17889c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"E_p\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"20\" style=\"vertical-align: -6px;\"><\/p>\n<p> \u00e9 a energia potencial gravitacional em um ponto, expressa em joules. <\/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-54e215a7a583b4f357a5a627420bcf2f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"V\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 o potencial gravitacional em um ponto, cujas unidades s\u00e3o J\/kg.<\/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-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 corpo colocado em um campo gravitacional e sobre o qual atua a for\u00e7a gravitacional, expressa em quilogramas.<\/span><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Neste artigo voc\u00ea aprender\u00e1 o que \u00e9 energia potencial gravitacional, como calcular a energia potencial gravitacional e, al\u00e9m disso, um exerc\u00edcio resolvido para entender melhor o conceito. O que \u00e9 energia potencial gravitacional? Energia potencial gravitacional , ou simplesmente energia gravitacional , \u00e9 a energia potencial associada ao campo gravitacional. Simplificando, a energia potencial gravitacional &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/pt\/energia-potencial-gravitacional\/\"> <span class=\"screen-reader-text\">Energia potencial gravitacional<\/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-238","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 O que \u00e9 energia potencial gravitacional? 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