{"id":62028,"date":"2024-07-30T18:00:48","date_gmt":"2024-07-30T21:00:48","guid":{"rendered":"https:\/\/vestibulares.estrategia.com\/portal\/?p=62028"},"modified":"2024-09-23T14:29:44","modified_gmt":"2024-09-23T17:29:44","slug":"energia-mecanica","status":"publish","type":"post","link":"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/energia-mecanica\/","title":{"rendered":"Energia Mec\u00e2nica: defini\u00e7\u00e3o, f\u00f3rmulas e exemplos"},"content":{"rendered":"<p class=\"wp-block-paragraph\">Segundo a <span id=\"urn:enhancement-469c7d18-6b0b-4b92-aeaa-3fc9c8da4467\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/fisica\">f&iacute;sica<\/span>, <span id=\"urn:enhancement-5db8e7d9-3373-4bb3-a6a7-cee2bbb5f834\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia-mecanica\">energia mec&acirc;nica<\/span> &eacute; uma grandeza que permite movimentos, deslocamentos, e produ&ccedil;&atilde;o de a&ccedil;&atilde;o em um corpo. Ela n&atilde;o pode ser destru&iacute;da ou gerada, mas pode ser transformada ou dissipada no sistema.<p class=\"wp-block-paragraph\">Na mec&acirc;nica, o conceito de <span id=\"urn:enhancement-456f0d06-e0eb-4ba0-9777-dea7e19babe6\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span> relaciona-se, principalmente, com a <span id=\"urn:enhancement-982f6bed-7023-4ea6-8724-dd0b78e521ef\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/velocidade\">velocidade<\/span>, for&ccedil;as, massa, acelera&ccedil;&atilde;o e posi&ccedil;&atilde;o do corpo no espa&ccedil;o, afinal, a mec&acirc;nica &eacute; o estudo dos movimentos e, do ponto de vista dos vestibulares, conhecer mais sobre o tema garante um melhor desempenho em diversas quest&otilde;es, que correlacionam mec&acirc;nica com outros t&oacute;picos da <span id=\"urn:enhancement-0a66255e-689b-4da7-9f42-388e10fa6022\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/fisica\">f&iacute;sica<\/span>.&nbsp;<\/p><p class=\"wp-block-paragraph\">Para te ajudar na constru&ccedil;&atilde;o do conhecimento sobre <span id=\"urn:enhancement-9afe7be5-415e-48fd-8fc1-78fca61232d3\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia-mecanica\">energia mec&acirc;nica<\/span>, o Estrat&eacute;gia Vestibulares descreve, neste artigo, a defini&ccedil;&atilde;o, caracter&iacute;sticas e f&oacute;rmulas do assunto. Ainda, ao acompanhar a resolu&ccedil;&atilde;o de exerc&iacute;cios de vestibular, fortale&ccedil;a o seu racioc&iacute;nio matem&aacute;tico e os conceitos fundamentais aprendidos. Vamos l&aacute;?<\/p><div id=\"ez-toc-container\" class=\"ez-toc-v2_0_86 counter-hierarchy ez-toc-counter ez-toc-transparent ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\"><p class=\"ez-toc-title\" style=\"cursor:inherit\">Navegue pelo conte\u00fado<\/p>\n<\/div><nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/energia-mecanica\/#Conceito-de-energia-mecanica\" >Conceito de energia mec&acirc;nica<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/energia-mecanica\/#Tipos-de-energia-mecanica\" >Tipos de energia mec&acirc;nica<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/energia-mecanica\/#Energia-mecanica-total\" >Energia mec&acirc;nica total<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/energia-mecanica\/#Potencia\" >Pot&ecirc;ncia<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/energia-mecanica\/#Aprenda-mais-de-fisica-com-o-Estrategia-Vestibulares\" >Aprenda mais de f&iacute;sica com o Estrat&eacute;gia Vestibulares!<\/a><\/li><\/ul><\/nav><\/div>\n<h2 class=\"wp-block-heading\" id=\"h-conceito-de-energia-mecanica\"><span class=\"ez-toc-section\" id=\"Conceito-de-energia-mecanica\"><\/span>Conceito de energia mec&acirc;nica<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">A <span id=\"urn:enhancement-adfb3f3e-fcf4-456b-b577-af775552049e\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia-mecanica\">energia mec&acirc;nica<\/span> &eacute; a grandeza escalar, da <span id=\"urn:enhancement-15329335-b7e3-4590-baee-6f1942004f07\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/fisica\">f&iacute;sica<\/span> que mensura a<strong> capacidade de um corpo em realizar trabalho<\/strong>. Ou seja, a quantidade de <span id=\"urn:enhancement-9bad9cd6-dc32-4eec-a106-e777d1ad4339\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span> dispon&iacute;vel para ser transformada em outros tipos de <span id=\"urn:enhancement-d959917c-163e-4e3f-a208-fcf0c6d4cf7f\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span>, a partir da atua&ccedil;&atilde;o de uma <span id=\"urn:enhancement-bcbf48fc-8b9a-4b77-aade-27759d2a2566\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca\">for&ccedil;a<\/span>.<\/p><p class=\"wp-block-paragraph\">Segundo o Sistema Internacional de Unidades (SI), a unidade de medida padr&atilde;o para mensurar <span id=\"urn:enhancement-8c34052b-6444-4cc2-af44-2e06aceebd0d\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span>, na <span id=\"urn:enhancement-3227145f-98e6-46a2-92a5-9fd6343078c7\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/fisica\">f&iacute;sica<\/span>, &eacute; o <strong>joule <\/strong>(J). Na equival&ecirc;ncia matem&aacute;tica, o joule corresponde &agrave; quantidade de newtons multiplicados pelos metros, que s&atilde;o necess&aacute;rios para deslocar um corpo, ou seja J = N.m.&nbsp;<\/p><p class=\"wp-block-paragraph\">Por exemplo, quando um objeto &eacute; deslocado em 10 metros sob uma superf&iacute;cie, a partir de uma <span id=\"urn:enhancement-320eef35-f189-4384-8ac7-48705fc4dd2d\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca\">for&ccedil;a<\/span> de 10 newtons, &eacute; poss&iacute;vel calcular o trabalho, a quantidade de <span id=\"urn:enhancement-815e44a9-7ee0-465d-b728-44aa0dc104c8\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia-mecanica\">energia mec&acirc;nica<\/span> necess&aacute;ria para realizar essa atividade, que gera varia&ccedil;&atilde;o da <span id=\"urn:enhancement-491dd245-c7c3-4f5b-9664-a4aa9f138ff9\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/velocidade\">velocidade<\/span>. Conforme os c&aacute;lculos f&iacute;sicos, nesse exemplo, seriam necess&aacute;rios 100 joules para realizar todo o deslocamento.<\/p><h3 class=\"wp-block-heading\" id=\"h-o-que-e-trabalho-na-fisica\">O que &eacute; trabalho, na f&iacute;sica?<\/h3><p class=\"wp-block-paragraph\">Como o conceito de <span id=\"urn:enhancement-805c7bc9-a903-4665-b771-f1393a79ac22\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia-mecanica\">energia mec&acirc;nica<\/span> depende, conceitualmente, do conceito de trabalho, &eacute; importante entender um pouco sobre a f&oacute;rmula e defini&ccedil;&otilde;es acerca do trabalho de uma <span id=\"urn:enhancement-f822682d-a42d-467a-8c61-eda902c87931\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca\">for&ccedil;a<\/span>.<\/p><p class=\"wp-block-paragraph\">Trabalho (&#120649;) &eacute; o nome f&iacute;sico para a <strong>transforma&ccedil;&atilde;o de <span id=\"urn:enhancement-6a877302-ed11-48c6-bb47-028fd72d99df\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span> em um corpo, a partir da atua&ccedil;&atilde;o de uma <span id=\"urn:enhancement-57a7e2a5-4241-448f-91c5-ce1ff165d5de\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca\">for&ccedil;a<\/span><\/strong>. Por exemplo, erguer um objeto pesado do ch&atilde;o, um guindaste exerce um trabalho, que transforma <span id=\"urn:enhancement-5ef35418-c041-4db3-a725-e20682c8b143\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia-mecanica\">energia mec&acirc;nica<\/span> de maneira <span id=\"urn:enhancement-9e980e51-2fe9-412e-b41d-25021267fff4\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/eficiencia\">eficiente<\/span>, garantindo que o objeto realmente seja levantado do solo.&nbsp;<\/p><p class=\"wp-block-paragraph\">A principal f&oacute;rmula de trabalho &eacute; definida como:&nbsp;<\/p><p class=\"has-text-align-center wp-block-paragraph\">&#120649; = F.d.cos &theta;<\/p><p class=\"has-text-align-center wp-block-paragraph\">&#120649; &eacute; o trabalho da <span id=\"urn:enhancement-97f32ab2-67e7-4c7b-a24a-474c828bd713\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca\">for&ccedil;a<\/span> F, medido em joules (j)<strong><sub>&nbsp;<\/sub><\/strong><br>F representa a <span id=\"urn:enhancement-e543a9d9-537d-4a45-86ed-aa75d7db6f82\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca\">for&ccedil;a<\/span> atuando no corpo, em newtons (N);<br>d &eacute; a dist&acirc;ncia que o objeto foi deslocado, em metros (m); e<br>&theta; &eacute; o &acirc;ngulo entre a orienta&ccedil;&atilde;o da <span id=\"urn:enhancement-57a4dcd8-e9c6-4acd-9e62-b398940fa933\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca\">for&ccedil;a<\/span> e o deslocamento.&nbsp;&nbsp;<\/p><p class=\"wp-block-paragraph\">A imagem abaixo exemplifica o movimento de um corpo quadrado, por uma dist&acirc;ncia d, a partir de uma <span id=\"urn:enhancement-33023c32-d5d2-48d4-90d0-27996be659e5\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca\">for&ccedil;a<\/span> F, que forma um &acirc;ngulo &theta; com a orienta&ccedil;&atilde;o da trajet&oacute;ria.&nbsp;<\/p><div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/lh7-rt.googleusercontent.com\/docsz\/AD_4nXdT_SdG-BT_tni7yDnJj4LBt0PmZGvsHPXegJLGkrC3d1CtoMhpBWG29oLP0wkX-BogVvfXF31FnARNjJeLJF0As4zd-WppU_RVsaFN2HDw_XtVlMYRIc0Ei7QmncliRxXzDdHof0gVpDC3O0mkdbwVsCbJ?key=yTLW0YVgAlRpU2PXMrmZkg\" alt=\"exemplo de trabalho - energia mec&acirc;nica\"><figcaption class=\"wp-element-caption\">Imagem: Reprodu&ccedil;&atilde;o\/Wikimedia<\/figcaption><\/figure>\n<\/div><p class=\"wp-block-paragraph\">+ Veja tamb&eacute;m: <a href=\"https:\/\/vestibulares.estrategia.com\/portal\/fisica\/leis-de-newton\/\">Leis de Newton: princ&iacute;pios, conceitos e aplica&ccedil;&otilde;es<\/a><\/p><h2 class=\"wp-block-heading\" id=\"h-tipos-de-energia-mecanica\"><span class=\"ez-toc-section\" id=\"Tipos-de-energia-mecanica\"><\/span>Tipos de energia mec&acirc;nica<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">No estudo da <span id=\"urn:enhancement-ff6d9ed2-d265-4bce-9ab9-3cf8cd931298\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/fisica\">f&iacute;sica<\/span>, a <span id=\"urn:enhancement-0966d752-13c7-4975-a1ce-51dbd6a73fe8\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia-mecanica\">energia mec&acirc;nica<\/span> pode ser dividida em dois tipos: <span id=\"urn:enhancement-50ebd025-4b9a-4699-bd3c-5d049e966d55\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span> potencial e energia cin&eacute;tica, veja nos t&oacute;picos a seguir.&nbsp;<\/p><h3 class=\"wp-block-heading\" id=\"h-energia-cinetica\">Energia cin&eacute;tica<\/h3><p class=\"wp-block-paragraph\">A energia cin&eacute;tica s&oacute; aparece em corpos que possuem um <strong>movimento<\/strong>, em que a <span id=\"urn:enhancement-e5460336-44cf-4a18-aec2-78e64f789b3f\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/velocidade\">velocidade<\/span> seja diferente de 0 no instante observado. &Eacute; representada por E<sub>C<\/sub> e seu c&aacute;lculo depende da massa do corpo e da <span id=\"urn:enhancement-707fba03-f30d-4620-b4b9-5071979d74c1\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/velocidade\">velocidade<\/span>:<\/p><p class=\"has-text-align-center wp-block-paragraph\">E<sub>C <\/sub>= m.V<sup>2<\/sup> \/ 2&nbsp;<\/p><p class=\"has-text-align-center wp-block-paragraph\">E<sub>C<\/sub> &eacute; a energia cin&eacute;tica, medida em joules (J);<br>m &eacute; a massa do corpo, mensurada em quilogramas (kg); e<br>V &eacute; a <span id=\"urn:enhancement-64e3b679-64c7-4a42-937d-3ee998abae05\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/velocidade\">velocidade<\/span> do corpo no tempo observado, em metros por segundo (m\/s).<\/p><p class=\"wp-block-paragraph\">Isso significa que, matematicamente, se a <a href=\"https:\/\/vestibulares.estrategia.com\/portal\/fisica\/velocidade-escalar\/\" target=\"_blank\">velocidade <\/a>de um corpo &eacute; 0, ele n&atilde;o possui energia cin&eacute;tica. E, quando a <span id=\"urn:enhancement-d799bdfc-0f3d-4404-938f-1767b8d77b84\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/velocidade\">velocidade<\/span> &eacute; diferente de zero, com certeza o corpo apresentar&aacute; energia cin&eacute;tica.&nbsp;<\/p><p class=\"wp-block-paragraph\">Como a energia cin&eacute;tica do corpo &eacute; proporcional &agrave; sua massa, em uma mesma <span id=\"urn:enhancement-5d6ace1b-9522-48c8-a956-21e99c67e2d7\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/velocidade\">velocidade<\/span>, dois corpos de massa diferente admitir&atilde;o energias cin&eacute;ticas diferentes, como &eacute; demonstrado na imagem abaixo.<\/p><div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/lh7-rt.googleusercontent.com\/docsz\/AD_4nXficMpc3gWgd7b477YXks1yWHgviWjHzZhqQSD3N3SHYPc-LgOoq9dUCxl3cGBvKLGqRmX1EJw2nM1BFZl63pOOygK565FfmDoikJzhgq83E4leNfpEX7Hz7XUYMH4qw3-CPT8KvA5EbgY_sjKsKQyGcXpe?key=yTLW0YVgAlRpU2PXMrmZkg\" alt=\"energia cin&eacute;tica e mec&acirc;nica\"><\/figure>\n<\/div><h4 class=\"wp-block-heading\" id=\"h-teorema-trabalho-energia-cinetica\">Teorema trabalho-energia cin&eacute;tica<\/h4><p class=\"wp-block-paragraph\">A mec&acirc;nica &eacute; uma ci&ecirc;ncia em que as grandezas t&ecirc;m muita rela&ccedil;&atilde;o umas com as outras, &eacute; o caso do conceito de trabalho e de energia cin&eacute;tica, que se associam em equival&ecirc;ncia no <a href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/teorema-trabalho-energia-cinetica\/\" target=\"_blank\">teorema trabalho-energia cin&eacute;tica<\/a>. A partir de observa&ccedil;&otilde;es experimentais, foi poss&iacute;vel descrever que a o <strong>trabalho de uma <span id=\"urn:enhancement-609ed10c-3b85-438b-8be6-3705dafd92ac\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca\">for&ccedil;a<\/span> resultante (&#120649;<sub>R<\/sub>) sobre um corpo &eacute; equivalente &agrave; varia&ccedil;&atilde;o da energia cin&eacute;tica (&Delta;E<sub>C<\/sub>) <\/strong>desse corpo ao longo do tempo. Veja a f&oacute;rmula:<\/p><p class=\"has-text-align-center wp-block-paragraph\">&#120649;<sub>R<\/sub> = &Delta;E<sub>C<\/sub><br>&#120649;<sub>R<\/sub> = Ec<sub>final <\/sub>&ndash; Ec<sub>inicial<\/sub><\/p><p class=\"has-text-align-center wp-block-paragraph\">&#120649;<sub>R<\/sub> &eacute; o trabalho da <span id=\"urn:enhancement-83f9343f-1090-440b-b0af-aeb87e96dc4a\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca\">for&ccedil;a<\/span> resultante, em joule (J)<br>&nbsp;Ec<sub>inicial <\/sub>&eacute; a energia cin&eacute;tica no in&iacute;cio do movimento, em joule (J)<br>&nbsp;Ec<sub>final <\/sub>&nbsp;&eacute; a energia cin&eacute;tica ao fim do movimento, em joule (J)<\/p><p class=\"has-text-align-left wp-block-paragraph\">Esse mesmo c&aacute;lculo pode ser simplificado da seguinte forma:<\/p><div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/lh7-rt.googleusercontent.com\/docsz\/AD_4nXc3C7NEQ4Ft1LFQlFry1WDzNRXkF90XlxJGHjy1QEyaiI4SPm7KO53MVqnBpb5yWwvNx_-179kHX5M1BUO-Ic0iIFfyg6ZLVs8LL4r_aZUb80Up3G0_43SZdIgTAs3NIUjGrasKai8bG7NZ8jm3a0yYlU4?key=yTLW0YVgAlRpU2PXMrmZkg\" alt=\"f&oacute;rmula trabalho - energia mec&acirc;nica\"><\/figure>\n<\/div><p class=\"wp-block-paragraph\">Veja como esse assunto foi cobrado no vestibular da <a href=\"https:\/\/vestibulares.estrategia.com\/portal\/vestibulares\/vestibular-unicamp\/\">Unicamp<\/a>, em 2018:<\/p><p class=\"wp-block-paragraph\">O primeiro sat&eacute;lite geoestacion&aacute;rio brasileiro foi lan&ccedil;ado ao espa&ccedil;o em 2017 e ser&aacute; utilizado para comunica&ccedil;&otilde;es estrat&eacute;gicas do governo e na amplia&ccedil;&atilde;o da oferta de comunica&ccedil;&atilde;o de banda larga. O foguete que levou o sat&eacute;lite ao espa&ccedil;o foi lan&ccedil;ado do Centro Espacial de Kourou, na Guiana Francesa. A massa do sat&eacute;lite &eacute; constante desde o lan&ccedil;amento at&eacute; a entrada em &oacute;rbita e vale&nbsp; m=6,0&times;10<sup>3&nbsp; <\/sup>kg O m&oacute;dulo de sua <span id=\"urn:enhancement-7321f7f7-cddb-451b-a64d-d51567190ebf\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/velocidade\">velocidade<\/span> orbital &eacute; igual a V<sub>or<\/sub> = 3,0 . 10<sup>3 <\/sup>m\/s.<\/p><p class=\"wp-block-paragraph\">Desprezando a <span id=\"urn:enhancement-23d631db-1018-48dd-acee-8ba5d1b806c7\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/velocidade\">velocidade<\/span> inicial do sat&eacute;lite em raz&atilde;o do <span id=\"urn:enhancement-c9fcdf8e-a08a-4764-8052-096739a14741\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/rotacao\">movimento de rota&ccedil;&atilde;o<\/span> da Terra, o trabalho da <span id=\"urn:enhancement-292e3a09-91b4-4b4c-a12d-3036a5e0da56\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca\">for&ccedil;a<\/span> resultante sobre o sat&eacute;lite para lev&aacute;-lo at&eacute; a sua &oacute;rbita &eacute; igual a&nbsp;<\/p><p class=\"wp-block-paragraph\"><strong>A) <\/strong>2MJ.<br><strong>B)<\/strong> 18MJ.<br><strong>C)<\/strong> 27GJ.<br><strong>D) <\/strong>54GJ<br><\/p><p class=\"wp-block-paragraph\"><strong>Resposta: <\/strong>Como o sat&eacute;lite parte de uma <span id=\"urn:enhancement-a0e454cf-8118-4338-a3b8-b55c96e49c5c\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/velocidade\">velocidade<\/span> inicial desprez&iacute;vel, com massa constante, podemos admitir que a f&oacute;rmula &#120649;<sub>R<\/sub> = &Delta;E<sub>C<\/sub><strong> <\/strong>seja suficiente para completar o exerc&iacute;cio. Como j&aacute; percebemos, a <span id=\"urn:enhancement-c47755eb-bb71-44f8-9f6f-6708aa6e545a\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/velocidade\">velocidade<\/span> inicial anula a energia cin&eacute;tica inicial (m.V<sub>0<\/sub><sup>2<\/sup> \/ 2 = 0), assim:<\/p><p class=\"has-text-align-center wp-block-paragraph\"><strong>&#120649;<sub>R<\/sub> = m.V<sup>2<\/sup> \/ 2<\/strong><br>&#120649;<sub>R<\/sub> = 6.10<sup>3<\/sup>.V<sup>2<\/sup>\/ 2<\/p><p class=\"wp-block-paragraph\">Observamos que a <span id=\"urn:enhancement-7a44c803-0b7b-4398-8b32-1ac35309b550\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/velocidade\">velocidade<\/span> orbital corresponde &agrave; <span id=\"urn:enhancement-0c744731-1596-4a31-b328-0da633f2d6b7\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/velocidade\">velocidade<\/span> necess&aacute;ria para o c&aacute;lculo da <span id=\"urn:enhancement-d117a08a-bea2-4337-8646-dcd85c4a63c5\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/velocidade\">velocidade<\/span> resultante, de forma que:&nbsp;<\/p><p class=\"has-text-align-center wp-block-paragraph\">&#120649;<sub>R<\/sub> = 6.10<sup>3<\/sup>.(3.10<sup>3<\/sup>)<sup>2<\/sup> \/ 2<br>&#120649;<sub>R<\/sub> = 6.10<sup>3<\/sup>.9.10<sup>6<\/sup> \/ 2<br>&#120649;<sub>R<\/sub> = 54.10<sup>9<\/sup>\/ 2<br>&#120649;<sub>R<\/sub> = 27.10<sup>9<\/sup> J&nbsp;<\/p><p class=\"wp-block-paragraph\">Conforme os preceitos das <a href=\"https:\/\/vestibulares.estrategia.com\/portal\/fisica\/ordem-de-grandeza\/\" target=\"_blank\">ordens de grandeza<\/a>, o prefixo para 10<sup>9<\/sup> &eacute; dado por &ldquo;giga&rdquo;, que &eacute; representado por G.&nbsp;<\/p><p class=\"wp-block-paragraph\"><strong>Alternativa correta: <\/strong>C.&nbsp;<\/p><h3 class=\"wp-block-heading\" id=\"h-energia-potencial\">Energia potencial<\/h3><p class=\"wp-block-paragraph\">Por sua vez, a <span id=\"urn:enhancement-3638de4c-60df-4336-955a-6be0987e780e\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span> potencial diz respeito ao <strong>armazenamento energ&eacute;tico<\/strong> que um corpo, sua capacidade de realizar trabalho a partir de seu <strong>posicionamento no espa&ccedil;o<\/strong>. Para isso, s&atilde;o consideradas as posi&ccedil;&otilde;es finais e iniciais do objeto no ambiente, independente do trajeto.&nbsp;<\/p><p class=\"wp-block-paragraph\">Para que um corpo tenha <span id=\"urn:enhancement-a188778a-c8fd-475b-b90f-7404c02fe196\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span> potencial, &eacute; necess&aacute;rio que ele esteja em um sistema com <strong>for&ccedil;as conservativas<\/strong>, ou seja, em que a <span id=\"urn:enhancement-3c10ddf0-397b-4fb4-bebb-47093828fbbd\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span> n&atilde;o seja dissipada, mas armazenada, preservada e conservada ao longo da trajet&oacute;ria.&nbsp;<\/p><p class=\"wp-block-paragraph\">Ent&atilde;o, essa <span id=\"urn:enhancement-927c13b5-256e-45cf-b283-b5a7aac0bc3b\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span> &ldquo;guardada&rdquo; pode ser transformada em outras formas de <span id=\"urn:enhancement-b93a3ecb-c2a4-4b1f-b379-aae2f79d2428\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span>. Por exemplo, um corpo pode estar em repouso e armazenando <span id=\"urn:enhancement-002691d4-f768-48da-9e31-cc8e6a485a2f\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span> potencial em 1000 J, que poder&atilde;o ser transformados em energia cin&eacute;tica, caso esse objeto entre em movimento.&nbsp;<\/p><h4 class=\"wp-block-heading\" id=\"h-energia-potencial-gravitacional\">Energia potencial gravitacional<\/h4><p class=\"wp-block-paragraph\">&Eacute; a <span id=\"urn:enhancement-56290338-7572-4b0a-9689-614e8691d8bb\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span> potencial que leva em considera&ccedil;&atilde;o a <strong>altura<\/strong> de um corpo em rela&ccedil;&atilde;o &agrave; superf&iacute;cie da Terra e conta, principalmente, com a a&ccedil;&atilde;o da <strong>acelera&ccedil;&atilde;o gravitacional <\/strong>(g).&nbsp;<\/p><p class=\"wp-block-paragraph\">Por se relacionar com a <span id=\"urn:enhancement-2933789d-2c4a-41b2-9ea9-bcf1de8064fd\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/gravidade\">gravidade<\/span>, a principal <span id=\"urn:enhancement-53aef4c2-64d7-4e6b-8220-5c914ef886ea\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca\">for&ccedil;a<\/span> considerada ser&aacute; o peso (P) e seu trabalho (&#120649;<sub>P<\/sub>), medido em Newtons. Assim, a f&oacute;rmula da <a href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/energia-gravitacional\/\" target=\"_blank\">energia potencial gravitacional <\/a>(<strong>E<sub>Pg<\/sub><\/strong>) &eacute; dada por:<\/p><p class=\"has-text-align-center wp-block-paragraph\">E<sub>Pg<\/sub> = |&#120649;<sub>P<\/sub>|<br>E<sub>Pg<\/sub> = P.d.cos &theta;<\/p><p class=\"has-text-align-center wp-block-paragraph\">E<sub>Pg<\/sub> &eacute; a <span id=\"urn:enhancement-593e3f42-4209-4031-9066-0a04963ba87d\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia-potencial-gravitacional\">energia potencial gravitacional<\/span>, em joules (J);<br>P &eacute; a <span id=\"urn:enhancement-1d08bfdc-ef78-456d-ad61-09b0e463d314\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca\">for&ccedil;a<\/span> peso, em newtons (N);<br>d &eacute; a dist&acirc;ncia percorrida pelo corpo, em metros (m); e&nbsp;<br>&theta; &eacute; o &acirc;ngulo entre a orienta&ccedil;&atilde;o da <span id=\"urn:enhancement-e65e620b-0120-4101-b7f8-2841e413abda\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca\">for&ccedil;a<\/span> e o deslocamento.&nbsp;&nbsp;<\/p><p class=\"wp-block-paragraph\">Como a dist&acirc;ncia entre o objeto e o ch&atilde;o &eacute; a altura h, ent&atilde;o d=h. J&aacute; que o sentido do deslocamento &eacute; a mesma orienta&ccedil;&atilde;o da <span id=\"urn:enhancement-e0fc5c2f-0558-4981-86db-4584cc109dfe\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca\">for&ccedil;a<\/span> peso, o &acirc;ngulo entre as duas orienta&ccedil;&otilde;es &eacute; igual a 0&ordm; e o cos 0&ordm; = 1. Assim, pode-se adotar que:<\/p><p class=\"has-text-align-center wp-block-paragraph\">E<sub>Pg<\/sub> = P.d.cos &theta;&nbsp;&nbsp;<\/p><p class=\"has-text-align-center wp-block-paragraph\">d=h e cos &theta; = 1<\/p><p class=\"has-text-align-center wp-block-paragraph\">E<sub>Pg<\/sub> = P.h.1<br>E<sub>Pg<\/sub> = P.h<\/p><p class=\"wp-block-paragraph\">Se a <span id=\"urn:enhancement-c315480f-a3df-4618-ab4b-cafe364483e6\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca\">for&ccedil;a<\/span> peso &eacute; dada pela massa do objeto (m) vezes a acelera&ccedil;&atilde;o da <a href=\"https:\/\/vestibulares.estrategia.com\/portal\/fisica\/gravidade\/\" target=\"_blank\">gravidade<\/a>, a f&oacute;rmula ser&aacute; descrita como:<\/p><p class=\"has-text-align-center wp-block-paragraph\">P = m.g<br>E<sub>Pg<\/sub> = m.g.h<\/p><p class=\"has-text-align-center wp-block-paragraph\">m &eacute; a massa do objeto observado, em quilogramas (kg);<br>g &eacute; o valor da acelera&ccedil;&atilde;o da <span id=\"urn:enhancement-4802ada6-bf0e-4e03-827b-0b07492805d7\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/gravidade\">gravidade<\/span>, em metros por segundo (m\/s);<br>h &eacute; a altura entre o objeto e o solo, em metros (m).<\/p><p class=\"wp-block-paragraph\">Veja, na quest&atilde;o abaixo como esse assunto aparece nas provas de vestibular:<\/p><p class=\"wp-block-paragraph\">UNICAMP 2014<\/p><p class=\"wp-block-paragraph\">Andar de bondinho no complexo do P&atilde;o de A&ccedil;&uacute;car, no Rio de Janeiro, &eacute; um dos passeios a&eacute;reos urbanos mais famosos do mundo. Marca registrada da cidade, o Morro do P&atilde;o de A&ccedil;&uacute;car &eacute; constitu&iacute;do de um &uacute;nico bloco de granito, despido de vegeta&ccedil;&atilde;o em sua quase totalidade e tem mais de 600 milh&otilde;es de anos.<\/p><p class=\"wp-block-paragraph\">A altura do Morro da Urca &eacute; de 220 m e a altura do P&atilde;o de A&ccedil;&uacute;car &eacute; de cerca de 400 m, ambas em rela&ccedil;&atilde;o ao solo. A varia&ccedil;&atilde;o da <span id=\"urn:enhancement-5154a2b3-51e2-42ea-865f-e699e50dd898\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia-potencial-gravitacional\">energia potencial gravitacional<\/span> do bondinho com passageiros de massa total M = 5000 kg, no segundo trecho do passeio, &eacute;:<\/p><p class=\"wp-block-paragraph\">(Use g = 10 m\/s2)<\/p><p class=\"wp-block-paragraph\"><strong>A) <\/strong>&nbsp;11.10<sup>6 <\/sup>J<br><strong>B)<\/strong> 20.10<sup>6 <\/sup>J<br><strong>C)<\/strong> 31.10<sup>6 <\/sup>J<br><strong>D)<\/strong> 9.10<sup>6 <\/sup>J<\/p><p class=\"wp-block-paragraph\">A diferen&ccedil;a entre as energias potenciais gravitacionais ser&aacute; dada por:<\/p><p class=\"wp-block-paragraph\">E<sub>Pg<\/sub> = m.g.h &ndash;&nbsp; m.g.h<sub>0<\/sub><br>E<sub>Pg<\/sub> = m.g.(h &ndash; h<sub>0<\/sub>)<br>E<sub>Pg<\/sub> = 5000.10.(400 &ndash; 220)<br>E<sub>Pg<\/sub> = 5.10<sup>4<\/sup>.(180)<br>E<sub>Pg<\/sub> = 900.10<sup>4<\/sup><br><strong>E<sub>Pg<\/sub> = 9.10<sup>6<\/sup>&nbsp;<\/strong><\/p><p class=\"wp-block-paragraph\"><strong>Alternativa correta: <\/strong>D.<\/p><h4 class=\"wp-block-heading\" id=\"h-energia-potencial-elastica\">Energia potencial el&aacute;stica<\/h4><p class=\"wp-block-paragraph\">Outra forma de armazenar <span id=\"urn:enhancement-eb490dec-c2e0-45e8-8b16-46bd6b0da3aa\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span> &eacute; por meio da possibilidade de deforma&ccedil;&atilde;o e reestrutura&ccedil;&atilde;o de um <span id=\"urn:enhancement-a237729e-e31f-42f5-a5d9-5817837ec851\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/material\">material<\/span> el&aacute;stico, como uma mola. A capacidade de <strong>estiramento <\/strong>&eacute; medida pela <span id=\"urn:enhancement-e22f4822-533b-4b73-a8f8-83488d1bd6d7\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia-potencial-elastica\">energia potencial el&aacute;stica<\/span>, que pode ser convertida em energia cin&eacute;tica, quando ocorre a <strong>deforma&ccedil;&atilde;o<\/strong>.<\/p><p class=\"wp-block-paragraph\">Por exemplo, um el&aacute;stico de papelaria, utilizado para separa&ccedil;&atilde;o de dinheiro ou cartas, pode ser estirado entre os dedos e lan&ccedil;ado, uma brincadeira comum entre as crian&ccedil;as. Quando o objeto &eacute; arremessado, &eacute; porque ocorreu a transforma&ccedil;&atilde;o de <span id=\"urn:enhancement-d67803d8-10bd-40ea-833d-f6d2301eae9e\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia-potencial-elastica\">energia potencial el&aacute;stica<\/span> em energia cin&eacute;tica, favorecendo <span id=\"urn:enhancement-9811fbdf-f5f0-4064-9a4f-1c73873ade1f\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/velocidade\">velocidade<\/span> e movimento.&nbsp;<\/p><p class=\"wp-block-paragraph\">Para o c&aacute;lculo da <span id=\"urn:enhancement-5d7d666c-bdf0-4ee8-92fd-80bcb13f5fa8\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia-potencial-elastica\">energia potencial el&aacute;stica<\/span> (E<sub>Pel<\/sub>), &eacute; considerada a constante de composi&ccedil;&atilde;o do <span id=\"urn:enhancement-35f3a047-43c4-4db5-9be1-d277b09a4808\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/material\">material<\/span> (k), que &eacute; vari&aacute;vel e pode ser mais ou menos estirada a depender da formula&ccedil;&atilde;o qu&iacute;mica. Al&eacute;m disso, considera-se o quanto o <span id=\"urn:enhancement-479af3df-6408-40e6-a762-596fe31fd398\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/material\">material<\/span> foi deformado, conforme o c&aacute;lculo:<\/p><p class=\"has-text-align-center wp-block-paragraph\"><strong>E<\/strong><strong><sub>Pel <\/sub><\/strong><strong>= k.x<\/strong><strong><sup>2<\/sup><\/strong><strong> \/ 2<\/strong><\/p><p class=\"wp-block-paragraph\">Em que x representa medida em metros que o el&aacute;stico se deformou.<\/p><h2 class=\"wp-block-heading\" id=\"h-energia-mecanica-total\"><span class=\"ez-toc-section\" id=\"Energia-mecanica-total\"><\/span>Energia mec&acirc;nica total<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">Uma vez que a <span id=\"urn:enhancement-22f6937b-80db-4969-a365-5927df91e0d9\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia-mecanica\">energia mec&acirc;nica<\/span> &eacute; uma forma de quantificar a capacidade de um corpo em realizar <a href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/trabalho\/\" target=\"_blank\">trabalho<\/a>, &eacute; considerado que os corpos possuem uma <span id=\"urn:enhancement-25e2e8da-ddea-4ae7-a91f-d6f68b0f126b\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia-mecanica\">energia mec&acirc;nica<\/span> total, que &eacute; dada pela <strong>soma entre a(s) <span id=\"urn:enhancement-2c7b7b35-a890-45ea-9d45-691effaf0e4b\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span>(s) potencial(is) e a energia cin&eacute;tica<\/strong>.<\/p><p class=\"wp-block-paragraph\"><span id=\"urn:enhancement-f4f2b1f8-9232-44e2-8cb9-6e1e65f20335\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia-mecanica\">Energia mec&acirc;nica<\/span> total = <span id=\"urn:enhancement-d60c6dd7-a2c8-4700-9612-81741bd7b92e\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span> potencial + energia cin&eacute;tica<\/p><p class=\"wp-block-paragraph\">Quando o sistema &eacute; conservativo, ou seja, n&atilde;o tem dissipa&ccedil;&atilde;o de <span id=\"urn:enhancement-f3dedf98-b27c-479e-b421-8300e05af754\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span> e ela &eacute; conservada, essa soma ser&aacute; igual em qualquer instan8-9232-44e2-8cb9-6e1e65f20335&Prime; class=&rdquo;textannotation&rdquo;&gt;te observado. Por exemplo, se um corpo est&aacute; sob um sistema de <a href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/conservacao-de-energia-mecanica\/\">conserva&ccedil;&atilde;o de energia mec&acirc;nica <\/a>e tem <span id=\"urn:enhancement-a8c5e01b-efef-4217-bb1c-cfd679f82bdd\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span> total de 1000J, ele poder&aacute; apresentar&nbsp;<\/p><ul class=\"wp-block-list\">\n<li>energia cin&eacute;tica de 600 J e energia mec&acirc;nica de 400J;<\/li>\n\n\n\n<li>energia cin&eacute;tica de 300 J e energia mec&acirc;nica de 700J;<\/li>\n\n\n\n<li>energia cin&eacute;tica de 100 J e energia mec&acirc;nica de 900J;<\/li>\n\n\n\n<li>energia cin&eacute;tica de 1000 J e energia mec&acirc;nica de 0 J;<\/li>\n\n\n\n<li>energia cin&eacute;tica de 0 J e energia mec&acirc;nica de 1000 J, e assim sucessivamente, desde que a soma entre as duas energias seja igual a 1000 J.<\/li>\n<\/ul><h3 class=\"wp-block-heading\" id=\"h-sistemas-nao-conservativos\">Sistemas n&atilde;o conservativos<\/h3><p class=\"wp-block-paragraph\">Se h&aacute; um sistema com conserva&ccedil;&atilde;o de <span id=\"urn:enhancement-3d958d16-e7d8-4ed0-af35-5ac41db8e5a8\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span>, em que a <span id=\"urn:enhancement-f4229fcf-4c05-4867-8ede-2aa9b7e3724f\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia-mecanica\">energia mec&acirc;nica<\/span> total &eacute; sempre a mesma, existe tamb&eacute;m a possibilidade contr&aacute;ria: quando h&aacute; a&ccedil;&atilde;o de <strong>for&ccedil;as dissipativas<\/strong>, que <strong>reduzem a <span id=\"urn:enhancement-a2d1b268-3cfd-4790-adc1-0e52b593ba75\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span> <\/strong>presente no sistema.&nbsp;<\/p><p class=\"wp-block-paragraph\">A pri<span i id=\"urn:enhancement-3eb003dc-c68a-4da4-aecf-811fb08485a0\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca\">d=&rdquo;ur<\/span>n:enhancement-f4229fcf-4c05-4867-8ede-2aa9b7e3724f&rdquo; clas<span id=\"urn:enhancement-77aff649-7d3e-4430-a13b-bf6c4683708c\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca-de-atrito\">s=&rdquo;textannotati<\/span>on&rdquo;&gt;ncipal for&ccedil;a dissipativa estudada &agrave; n&iacute;vel de vestibular &eacute; a <strong>for&ccedil;a de atrito<\/strong>. Quando um corpo tem uma <span id=\"urn:enhancement-62c4352d-6ec9-4b57-b043-e6a8b9972021\" class=\"textannotati&lt;\/span&gt;on disambiguated wl-thing&rdquo; itemid=&rdquo;https:\/\/data.wordlift.io\/wl110249\/entity\/energia-mecanica&rdquo;&gt;energia mec&acirc;nica&lt;\/span&gt; total e sofre dissipa&ccedil;&atilde;o de &lt;span id=\" urn:enhancement-7c7dfbc1-5d1a-4230-8030-7e5a0f23eddd itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span> a partir do <span id=\"urn:enhancement-21c6b3ba-74d2-4e0a-b9e1-25420ee50243\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca-de-atrito\">atrito<\/span>, ent&atilde;o a perda de <span id=\"urn:enhancement-4ca958e1-790e-4107-89d2-63b7cda167f9\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia\">energia<\/span> observada &eacute; igual ao trabalho da <a href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/atrito-estatico\/\" target=\"_blank\">for&ccedil;a de atrito<\/a> (&#120649;<sub>Fat<\/sub>).&nbsp;<\/p><p class=\"wp-block-paragraph\">Ent&atilde;o, se o objeto apresenta <span id=\"urn:enhancement-4d11fcf8-148c-474c-a539-3f5b1423e8c6\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia-mecanica\">energia mec&acirc;nica<\/span> total de 500 J e a <span id=\"urn:enhancement-dc9a30db-2417-416c-84d6-9bc6a5683362\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca-de-atrito\">for&ccedil;a de atrito<\/span> gera um trabalho de 75 J, a <span id=\"urn:enhancement-9de9159e-2b68-4d72-980a-f0b70f354680\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia-mecanica\">energia mec&acirc;nica<\/span> total ao final do trabalho ser&aacute; de 425 J.&nbsp;<\/p><p class=\"has-text-align-center wp-block-paragraph\">&#120649;<sub>Fat<\/sub> = &Delta;E<sub>m<\/sub><\/p><p class=\"has-text-align-center wp-block-paragraph\">&#120649;<sub>Fat<\/sub> = varia&ccedil;&atilde;o da -thing&rdquo; itemid=&rdquo;https:\/\/data.wordlift.io\/wl110249\/entity\/energia-mecanica&rdquo;&gt;energia mec&acirc;nica<br><span id=\"urn:enhancement-81f5d60e-01f9-4f2d-90a7-37f0c869febb\" class=\"textannotation disambiguated&lt;\/span&gt; wl-thing&rdquo; itemid=&rdquo;https:\/\/data.wordlift.io\/wl110249\/entity\/energia-mecanica&rdquo;&gt;Energia mec&acirc;nica&lt;\/span&gt; final = &lt;span id=\" urn:enhancement-370b427e-a747-4d5e-aef6-da6c5471b00e itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/energia-mecanica\">energia mec&acirc;nica<\/span> inicial &ndash; trabalho da <span id=\"urn:enhancement-750e6d66-0cf7-447a-96f9-5f9966821f94\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca-de-atrito\">for&ccedil;a de atrito<\/span><\/p><figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"cs-embed cs-embed-responsive\"><iframe title=\"T&oacute;picos de Mec&acirc;nica - F&iacute;sica para ENEM e Vestibulares: Prof. Henrique Goulart\" width=\"1200\" height=\"675\" src=\"https:\/\/www.youtube.com\/embed\/g1Dmk_csyDs?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/div>\n<\/div><\/figure><h2 class=\"wp-block-heading\" id=\"h-potencia\"><span class=\"ez-toc-section\" id=\"Potencia\"><\/span>Pot&ecirc;ncia<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">A <span id=\"urn:enhancement-d690f8cb-b55b-47ef-84e0-435ca8433dd7\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/eficiencia\">efici&ecirc;ncia<\/span> de um equipamento pode ser medida a partir da sua capacidade de transformar energias, ou seja, <strong>qu&atilde;o r&aacute;pido ele pode realizar trabalho<\/strong>. Esse &eacute; o conceito de href=&rdquo;https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/potencia\/&rdquo; target=&rdquo;_blank&rdquo; rel=&rdquo;noreferrer noopener&rdquo;&gt;pot&ecirc;ncia: grandeza <span id=\"urn:enhancement-7557e676-626a-4a16-97ff-93b892fb26&lt;\/span&gt;45&Prime; class=&rdquo;textannotation disambiguated wl-creative-work&rdquo; itemid=&rdquo;https:\/\/data.wordlift.io\/wl110249\/entity\/fisica&rdquo;&gt;f&iacute;sica&lt;\/span&gt; escalar que mensura a quantidade de trabalho desenvolvido a cada unidade de tempo.&nbsp;&lt;\/p&gt;\n\n\n\n&lt;p class=\" wp-block-paragraph>&Eacute; medida em watts (W), que &eacute; equivalente a joules por segundo (J\/s) e &eacute; descrita pela f&oacute;rmula:<\/span><\/p><p class=\"has-text-align-center wp-block-paragraph\">P = &#120649; \/ t<\/p><p class=\"has-text-align-center wp-block-paragraph\">P &eacute; a pot&ecirc;ncia, em watts (W);<br>&#120649; &eacute; o trabalho realizado, em joules (J); e<br>t &eacute; o tempo utilizado para realizar o trabalho, em segundos (s).<\/p><h2 class=\"wp-block-heading\" id=\"h-aprenda-mais-de-fisica-com-o-estrategia-vestibulares\"><span class=\"ez-toc-section\" id=\"Aprenda-mais-de-fisica-com-o-Estrategia-Vestibulares\"><\/span>Aprenda mais de f&iacute;sica com o Estrat&eacute;gia Vestibulares!<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">Voc&ecirc; j&aacute; conhece os cursos preparat&oacute;rios para o vestibular da coruja: s&atilde;o forma&ccedil;&otilde;es extensivas completas em livros digitais e videoaulas. &Eacute; poss&iacute;vel fazer o download ilimitado dessas aulas digitais e, ainda, acessar f&oacute;rum para consolidar o conhecimento e tirar d&uacute;vidas de <span id=\"urn:enhancement-4e95404b-5c92-471c-9264-24226a39d9ef\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/fisica\">f&iacute;sica<\/span> e outras mat&eacute;rias. Quer saber mais? Basta clicar no banner abaixo!<\/p><p class=\"wp-block-paragraph\"><a id=\"cta\" class=\"cta-imagem\" href=\"https:\/\/vestibulares.estrategia.com\/cursos\/\" target=\"blank\">\n                <img decoding=\"async\" width=\"100%\" src=\"https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2021\/12\/EV2.jpg\" alt=\"CTA - Estrat\u00e9gia Vestibulares 2\" title=\"CTA - Estrat\u00e9gia Vestibulares 2\">\n        <\/a>\n\n\n\n\n<\/p><\/p>\n","protected":false},"excerpt":{"rendered":"Segundo a f&iacute;sica, energia mec&acirc;nica &eacute; uma grandeza que permite movimentos, deslocamentos, e produ&ccedil;&atilde;o de a&ccedil;&atilde;o em um&hellip;\n","protected":false},"author":23,"featured_media":62029,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[28],"tags":[],"class_list":["post-62028","post","type-post","status-publish","format-standard","has-post-thumbnail","category-fisica"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v25.9 (Yoast SEO v28.2) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Energia Mec\u00e2nica: defini\u00e7\u00e3o, f\u00f3rmulas e exemplos<\/title>\n<meta name=\"description\" content=\"Conhe\u00e7a a defini\u00e7\u00e3o de energia mec\u00e2nica, quais f\u00f3rmulas se relacionam com ela e como esse assunto pode aparecer nos vestibulares. 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