{"id":126236,"date":"2024-09-30T19:00:00","date_gmt":"2024-09-30T22:00:00","guid":{"rendered":"https:\/\/vestibulares.estrategia.com\/portal\/?p=126236"},"modified":"2024-10-15T09:40:03","modified_gmt":"2024-10-15T12:40:03","slug":"campo-gravitacional","status":"publish","type":"post","link":"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/campo-gravitacional\/","title":{"rendered":"Campo gravitacional: defini\u00e7\u00e3o, f\u00f3rmulas e aplica\u00e7\u00f5es"},"content":{"rendered":"<p class=\"wp-block-paragraph\"><span id=\"urn:enhancement-5e3732e5-bd92-41b1-931b-0c00311f0637\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/campo-gravitacional\">Campo gravitacional<\/span> &eacute; um conceito da <span id=\"urn:enhancement-96cf5362-9672-41ed-b802-9f34d9dad3cf\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/fisica\">f&iacute;sica<\/span>, em conjunto com a <span id=\"urn:enhancement-50de4896-080a-49e6-acdd-81e213ab2107\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/astronomia-2\">astronomia<\/span>, que tem implica&ccedil;&otilde;es importantes na realidade humana, afinal, &eacute; uma defini&ccedil;&atilde;o intimamente relacionada com a ideia de <span id=\"urn:enhancement-ffaac256-84bc-450e-a25b-8951db519edf\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/gravidade\">gravidade<\/span> &mdash; acelera&ccedil;&atilde;o vetorial que age sobre todos os corpos na superf&iacute;cie do planeta.&nbsp;<p class=\"wp-block-paragraph\">Neste artigo, voc&ecirc; ter&aacute; acesso a defini&ccedil;&otilde;es, f&oacute;rmulas, aplica&ccedil;&otilde;es e analogias para entender melhor essa parte da <span id=\"urn:enhancement-694f6945-5b96-4e18-87d4-21ac4dbf8ec8\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/fisica\">F&iacute;sica<\/span>. Al&eacute;m de ser um conte&uacute;do relevante no estudo pr&eacute;-vestibular, tamb&eacute;m &eacute; interessante para o conhecimento do <span id=\"urn:enhancement-55445cd2-ad24-4721-aacb-88a672e05e17\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/universo\">universo<\/span> em seus diversos aspectos.&nbsp;<\/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\/campo-gravitacional\/#Definicao\" >Defini&ccedil;&atilde;o&nbsp;<\/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\/campo-gravitacional\/#Intensidade-do-campo-gravitacional\" >Intensidade do campo gravitacional<\/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\/campo-gravitacional\/#Campo-Gravitacional-da-Terra\" >Campo Gravitacional da Terra<\/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\/campo-gravitacional\/#Estude-para-as-provas-com-a-Coruja\" >Estude para as provas com a Coruja!<\/a><\/li><\/ul><\/nav><\/div>\n<h2 class=\"wp-block-heading\" id=\"h-definicao-nbsp\"><span class=\"ez-toc-section\" id=\"Definicao\"><\/span>Defini&ccedil;&atilde;o&nbsp;<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">O campo gravitacional &eacute; uma regi&atilde;o do espa&ccedil;o, ao redor de um corpo com massa, em que h&aacute; uma entidade <span id=\"urn:enhancement-ac9209b3-7820-4945-baec-a8a49fc7bac1\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/fisica\">f&iacute;sica<\/span> capaz de gerar <span id=\"urn:enhancement-9670414d-dfb6-4b52-b457-aca58793729b\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca\">for&ccedil;a<\/span> e acelera&ccedil;&atilde;o. &Eacute; por meio dele que ocorre a intera&ccedil;&atilde;o entre dois corpos de massa m e M. &Eacute; um conceito derivado da <span id=\"urn:enhancement-c5e2f533-cc47-4038-a5e9-013de295ded6\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/lei-da-gravitacao-universal\">Lei da Gravita&ccedil;&atilde;o Universal<\/span>, que foi proposta por <span id=\"urn:enhancement-6c7c85da-a18e-45d7-b5d4-de39262b52f3\" class=\"textannotation disambiguated wl-person\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/isaac-newton\">Isaac Newton<\/span> e embasa a maior parte das teorias sobre o <span id=\"urn:enhancement-584a3929-718a-4c2f-8e38-15b3889d4985\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/universo\">universo<\/span>, &oacute;rbitas, <span id=\"urn:enhancement-bb52c5db-6a70-47a0-a4ae-b4db006578f7\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/translacao\">transla&ccedil;&atilde;o<\/span> e <span id=\"urn:enhancement-8f423982-06f4-4d69-b071-02b269fd220c\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/rotacao\">rota&ccedil;&atilde;o<\/span>.&nbsp;<\/p><p class=\"wp-block-paragraph\">A rela&ccedil;&atilde;o entre os corpos de massas diferentes &eacute; a principal respons&aacute;vel pela acelera&ccedil;&atilde;o da <span id=\"urn:enhancement-d5dca6ed-1a9e-4664-8cda-2ec965356910\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/gravidade\">gravidade<\/span> (g) e, consequentemente, tamb&eacute;m pela <span id=\"urn:enhancement-18583479-a597-4ea4-99f9-298dda3950a6\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca\">for&ccedil;a<\/span> peso (P) que age sobre os objetos (P=m.g).&nbsp;<\/p><div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" src=\"https:\/\/lh7-rt.googleusercontent.com\/docsz\/AD_4nXehGr93CSD8juEw36CRIYY1AY0kIjjlGqzycktV9SP5F-_Ty2nvIq8npR0ibJ0-WGJ38IG7EUXYx4arYqjWLU7YKIA7q2EwxHRkujXDDq2hs-pGcgCv3cH2YkSWR5vBm8E8Ivli3lpET4gjAI1QSTRcwtc?key=RGDJuVXiek5WKCtgBCToVw\" alt=\"campo gravitacional\" style=\"width:346px;height:auto\"><figcaption class=\"wp-element-caption\">Imagem: Reprodu&ccedil;&atilde;o\/Wikimedia<\/figcaption><\/figure>\n<\/div><p class=\"wp-block-paragraph\">O esquema acima demonstra como seria a a&ccedil;&atilde;o dessas for&ccedil;as que surgem a partir dos campos gravitacionais, que puxam &ldquo;para o centro&rdquo; da massa. Isso &eacute; aplicado, por exemplo, com a acelera&ccedil;&atilde;o da <span id=\"urn:enhancement-96591bac-437e-4dec-a005-859d66a7efd3\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/gravidade\">gravidade<\/span>, que sempre se direciona ao centro da Terra.<\/p><p class=\"wp-block-paragraph\">Note que, em geral, &eacute; um consenso que a acelera&ccedil;&atilde;o da <span id=\"urn:enhancement-bfdbd87a-0265-4e97-b2aa-1a4a111217a5\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/gravidade\">gravidade<\/span> tem dire&ccedil;&atilde;o e sentido para baixo (aponta para o ch&atilde;o), mas isso acontece porque o planeta tem dimens&otilde;es gigantescas que fazem com que a esse vetor aponte aproximadamente para o centro de massa da Terra.<\/p><h2 class=\"wp-block-heading\" id=\"h-intensidade-do-campo-gravitacional\"><span class=\"ez-toc-section\" id=\"Intensidade-do-campo-gravitacional\"><\/span>Intensidade do campo gravitacional<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">A intensidade do campo gravitacional em um ponto do espa&ccedil;o pode ser mensurada por meio de f&oacute;rmulas, que utilizam uma constante importante, a constante de gravita&ccedil;&atilde;o universal, que vale G = 6,67 . 10<sup>-11<\/sup>Nm&sup2;\/Kg&sup2;.&nbsp;<\/p><p class=\"has-text-align-center wp-block-paragraph\">g = G.M\/d<sup>2<\/sup><\/p><p class=\"has-text-align-center wp-block-paragraph\">g &eacute; a <span id=\"urn:enhancement-b90002d0-194f-499a-8b3b-e02033e521bb\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/gravidade\">gravidade<\/span> no local observado;<br>M &eacute; a massa da terra;<br>d &eacute; a <span id=\"urn:enhancement-c084f5af-6382-43f0-aac4-321e1ee03b19\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/distancia\">dist&acirc;ncia<\/span> entre o ponto do planeta observado e o raio da Terra.<\/p><p class=\"wp-block-paragraph\">Em geral, admite-se que o ponto observado &eacute; uma massa m na superf&iacute;cie na Terra e, considerando o aspecto esferoide do planeta, conclui-se que a <span id=\"urn:enhancement-bbf7f94c-4a7d-4faa-bfcc-76522a831b93\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/distancia\">dist&acirc;ncia<\/span> entre a superf&iacute;cie e o centro &eacute; igual ao raio desse planeta (r), de <span id=\"urn:enhancement-d6f58a09-17e0-48a3-80f1-e91349601d7e\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/geometria\">forma<\/span> que:<\/p><p class=\"has-text-align-center wp-block-paragraph\">g = G.M\/r<sup>2<\/sup><\/p><p class=\"wp-block-paragraph\">Com os dados coletados em <a href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/fisica\/astronomia\/\" target=\"_blank\">estudos astron&ocirc;micos<\/a>, concluiu-se que M &eacute; aproximadamente 5,98.10<sup>24 <\/sup>kg e r = 6,37.10<sup>6 <\/sup>metros, e utilizando o valor da constante de gravita&ccedil;&atilde;o universal, tem-se que g &eacute; aproximadamente 9,83 <span id=\"urn:enhancement-59175680-7929-4a0e-8713-584fc5ba8a06\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/metro-por-segundo\">m\/s<\/span><sup>2<\/sup> que, muitas vezes, &eacute; substitu&iacute;do por 10 <span id=\"urn:enhancement-77faae2d-0a2c-4348-9428-ca970613b38b\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/metro-por-segundo\">m\/s<\/span><sup>2<\/sup>.<\/p><p class=\"wp-block-paragraph\">Abaixo est&aacute; demonstrada uma quest&atilde;o da Uece, em 2021, que explorou essa f&oacute;rmula e suas aplica&ccedil;&otilde;es.<\/p><p class=\"wp-block-paragraph\">Uma miss&atilde;o tripulada a Marte foi, por muito tempo, assunto de fic&ccedil;&atilde;o cient&iacute;fica. Com os avan&ccedil;os tecnol&oacute;gicos obtidos durante os s&eacute;culos XX e XXI, a possibilidade de estabelecer col&ocirc;nia nesse planeta tem se mostrado promissora, pelo menos em um futuro pr&oacute;ximo. Entre os diversos efeitos f&iacute;sicos e psicol&oacute;gicos a que uma miss&atilde;o tripulada estaria sujeita, pode-se destacar o que seria gerado pela perman&ecirc;ncia em um ambiente de baixa <span id=\"urn:enhancement-c67a9baa-8c99-4712-8bea-ededcfdb51d1\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/gravidade\">gravidade<\/span>. Considerando que a massa da Terra &eacute; dez vezes maior do que a massa de Marte, que o raio da Terra corresponde ao dobro do raio de Marte e que os dois planetas apresentam densidade uniforme, assinale a op&ccedil;&atilde;o que apresenta corretamente a raz&atilde;o entre as acelera&ccedil;&otilde;es da <span id=\"urn:enhancement-5e1ecebb-57d6-40ce-8ae9-91b4c1b6111b\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/gravidade\">gravidade<\/span> da Terra e de Marte.<\/p><p class=\"wp-block-paragraph\"><strong>A) <\/strong>4\/5<br><strong>B) <\/strong>5\/2<br><strong>C) <\/strong>2\/5<br><strong>D) <\/strong>5\/4<\/p><details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>Resposta<\/summary>\n<p class=\"wp-block-paragraph\">Inicialmente, iremos encontrar uma rela&ccedil;&atilde;o entre as acelera&ccedil;&otilde;es gravitacionais na superf&iacute;cie do planeta.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" fetchpriority=\"low\" src=\"https:\/\/lh7-rt.googleusercontent.com\/docsz\/AD_4nXd1H_bKE6z74xjNC0TKijISFiHfpKpqh2UCJjX45ECJksPUkEju1CmpblE4tJf_2O5otg6sg4tuYmoTdK-pKGl0IDRQ1t3MK1r4TIYlG2BJrveE11Vr25GTMDryhFCU_3tss6a29ioc67gWWsNM3hxsLNk6?key=RGDJuVXiek5WKCtgBCToVw\" alt=\"\"><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Do enunciado, &eacute; pedido a raz&atilde;o entre as acelera&ccedil;&otilde;es gravitacionais da Terra e de Marte.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" fetchpriority=\"low\" src=\"https:\/\/lh7-rt.googleusercontent.com\/docsz\/AD_4nXcxI0txFlJ-4VXUXC5LKSJl0MggepmwtRv2VUnKrYCIERrVSqgLoXpwQGw9mezxlwxC6MaxRKmgTPjNQ7wLBVz8pKqJzvrzmi-pwODzWa_kQFL5fs9TojmTeJ36VU6oOWxVlJLXiLPmjLm-OrDAEDBuIN4j?key=RGDJuVXiek5WKCtgBCToVw\" alt=\"\"><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Alternativa correta: <\/strong>B.<\/p>\n<\/details><h2 class=\"wp-block-heading\" id=\"h-campo-gravitacional-da-terra\"><span class=\"ez-toc-section\" id=\"Campo-Gravitacional-da-Terra\"><\/span>Campo Gravitacional da Terra<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">O campo gravitacional da Terra est&aacute; intimamente relacionado com a massa do planeta, porque esse elemento aparece na conceitua&ccedil;&atilde;o da <span id=\"urn:enhancement-c93249e7-3059-4c0e-9daa-92569e0c8e4e\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/gravidade\">gravidade<\/span>. A quest&atilde;o &eacute; que essa entidade <span id=\"urn:enhancement-3d17dc80-0168-4352-88b0-6843fdf67f62\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/fisica\">f&iacute;sica<\/span> &eacute; quem permite que os corpos mantenham-se &ldquo;colados&rdquo; &agrave; superf&iacute;cie do planeta e n&atilde;o fiquem flutuando.&nbsp;<\/p><p class=\"wp-block-paragraph\">A a&ccedil;&atilde;o da <span id=\"urn:enhancement-bcdb14ff-12d0-4ec3-aeee-cd2ca2a0a431\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/gravidade\">gravidade<\/span>, dentro desse campo gravitacional gerado pelas massas &eacute; necess&aacute;ria, &eacute; pela falta delas que os <span id=\"urn:enhancement-9fd03246-8e9b-484a-b671-ee31d94265a7\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/astronautas\">astronautas<\/span> n&atilde;o podem andar no espa&ccedil;o, a alimenta&ccedil;&atilde;o &eacute; restrita e os objetos ficam &ldquo;soltos&rdquo;, como &eacute; demonstrado em filmes e tamb&eacute;m v&iacute;deos que viralizam na internet.<\/p><p class=\"wp-block-paragraph\">A esp&eacute;cie humana e outras esp&eacute;cies do planeta se desenvolveram em contexto de forte influ&ecirc;ncia da acelera&ccedil;&atilde;o da <span id=\"urn:enhancement-619abd9f-5406-42af-a038-5d0c0826580f\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/gravidade\">gravidade<\/span>, ent&atilde;o, todo o funcionamento dos &oacute;rg&atilde;os, a circula&ccedil;&atilde;o sangu&iacute;nea, a fala e a at&eacute; a deambula&ccedil;&atilde;o dependem da a&ccedil;&atilde;o da <span id=\"urn:enhancement-f7a8d8f3-2fa2-4cf9-bd1f-ea819b9d957b\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/forca\">for&ccedil;a<\/span> gravitacional.&nbsp;<\/p><div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/lh7-rt.googleusercontent.com\/docsz\/AD_4nXcX1egKaJMul3Rr7hm8vwhDs6Ob9ZrNpz87KtvTac2WpknqDIkd3ja0c-sG8ddgUs9xtgWeuaw5eWSwWTddxnNHugX3R_ehAcgaxbf0kQUDITEuOKfGDE_RrX1Y_jHQPXY57xtjv-93uJqEwT-Z8FcTZ33A?key=RGDJuVXiek5WKCtgBCToVw\" alt=\"campo gravitacional\"><figcaption class=\"wp-element-caption\">Imagem: Reprodu&ccedil;&atilde;o\/Wikimedia<\/figcaption><\/figure>\n<\/div><p class=\"wp-block-paragraph\">A imagem acima, embora n&atilde;o esteja em escala padronizada nem reflita as propor&ccedil;&otilde;es reais, confere um panorama da intera&ccedil;&atilde;o entre os campos gravitacionais da Terra e da Lua. Afinal, de alguma <span id=\"urn:enhancement-b1a5950b-f085-4a1b-815c-d0849cb938c3\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/geometria\">forma<\/span>, a lua &eacute; um sat&eacute;lite natural preso &agrave; influ&ecirc;ncia do planeta Terra, sobre o qual ela orbita h&aacute; milh&otilde;es de anos.&nbsp;<\/p><p class=\"wp-block-paragraph\">Da mesma <span id=\"urn:enhancement-b5316024-3dcc-4959-a7d3-afe55873aed2\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/geometria\">forma<\/span>, a Terra tamb&eacute;m est&aacute; sob a influ&ecirc;ncia do campo gravitacional do Sol, que a puxa para si e essa &eacute; a explica&ccedil;&atilde;o basal para a <span id=\"urn:enhancement-b1537d80-27d5-41bb-9e25-2d05bf72a874\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/translacao\">transla&ccedil;&atilde;o<\/span> de todos os planetas ao redor da grande estrela solar, cada uma sob mais ou menos intensidade gravitacional.&nbsp;<\/p><p class=\"wp-block-paragraph\">Veja outra aplica&ccedil;&atilde;o dos conceitos de campo gravitacional que compara dois corpos astron&ocirc;micos, que apareceu no enunciado de uma quest&atilde;o da Faculdade Albert Einstein em 2020:<\/p><p class=\"wp-block-paragraph\">Leia o texto para responder &agrave; quest&atilde;o.<\/p><p class=\"wp-block-paragraph\">A NASA anunciou para 2026 o in&iacute;cio de uma miss&atilde;o muito esperada para explorar Tit&atilde;, a maior lua de Saturno: a miss&atilde;o Dragonfly. Tit&atilde; &eacute; a &uacute;nica lua do Sistema Solar que possui uma atmosfera significativa, onde haveria condi&ccedil;&otilde;es te&oacute;ricas de gera&ccedil;&atilde;o de formas rudimentares de vida. Essa miss&atilde;o ser&aacute; realizada por um drone porque a atmosfera de Tit&atilde; &eacute; bastante densa, mais do que a da Terra, e a <span id=\"urn:enhancement-eb190f1d-d679-44c8-aa72-970e63f03fdc\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/gravidade\">gravidade<\/span> &eacute; muito baixa, menor do que a da nossa Lua.<\/p><p class=\"wp-block-paragraph\">(&ldquo;NASA lan&ccedil;ar&aacute; drone para procurar sinais de vida na lua Tit&atilde;&rdquo;. www.inovacaotecnologica.com.br, 28.06.2019. Adaptado.)<\/p><p class=\"wp-block-paragraph\">Sejam m&#127481; e m&#127473; massas de Tit&atilde; e da Lua, respectivamente, e d&#127481; e d&#127473; os di&acirc;metros de Tit&atilde; e da Lua, respectivamente.<\/p><figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh7-rt.googleusercontent.com\/docsz\/AD_4nXcVZQMrQmrlbwMe6gH1ZTT8aYu9U69TD-kGZdDdjE0WoA0-mTyfOJdECElq0Rjr8cmm-dsWP6tyvI-1AlAj5HYsQeCLmPw0QIVD2tshlrTkNjEBmOKpnb7ZUCBRLanD5ymZG0kz57bLrJDIBlBDM-HStuGd?key=RGDJuVXiek5WKCtgBCToVw\" alt=\"campo gravitacional - quest&atilde;o\"><\/figure><p class=\"wp-block-paragraph\">Considere que m&#127481; &cong; 1,8 x m&#127473; , d&#127481; &cong; 1,5 x d&#127473; e que esses dois sat&eacute;lites naturais sejam perfeitamente esf&eacute;ricos. Adotando-se a acelera&ccedil;&atilde;o da <span id=\"urn:enhancement-0376d21e-5cab-4db9-a05f-cf5f53f23210\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/gravidade\">gravidade<\/span> na superf&iacute;cie da Lua igual a 1,6 <span id=\"urn:enhancement-f1c607ff-e6f8-446f-b4d9-1c78c33e5452\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/metro-por-segundo\">m\/s<\/span>&sup2;, a acelera&ccedil;&atilde;o da <span id=\"urn:enhancement-12a57579-7d3f-4db3-8399-7efb33eb2465\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/gravidade\">gravidade<\/span> na superf&iacute;cie de Tit&atilde; &eacute;, aproximadamente,<\/p><p class=\"wp-block-paragraph\"><strong>A) <\/strong>0,3 <span id=\"urn:enhancement-0ab6dc53-7e26-4a59-8156-e4a9a0d9ad4e\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/metro-por-segundo\">m\/s<\/span>&sup2;.<br><strong>B) <\/strong>0,5 <span id=\"urn:enhancement-63f89cf1-8080-4355-a680-a3ce483a1a70\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/metro-por-segundo\">m\/s<\/span>&sup2;.<br><strong>C) <\/strong>1,3 <span id=\"urn:enhancement-48adea9c-9acc-4c41-95aa-41c92b006590\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/metro-por-segundo\">m\/s<\/span>&sup2;.<br><strong>D) <\/strong>0,8 <span id=\"urn:enhancement-8655361a-2fa2-4413-9fe3-6f8199423959\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/metro-por-segundo\">m\/s<\/span>&sup2;.<br><strong>E) <\/strong>1,0 <span id=\"urn:enhancement-7787621c-c630-460a-8c33-76766d43382a\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/metro-por-segundo\">m\/s<\/span>&sup2;.<\/p><details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>Resposta<\/summary>\n<p class=\"wp-block-paragraph\">Para o <span id=\"urn:enhancement-92ffef64-e47b-4198-9df1-595e4bed74c8\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/calculo\">c&aacute;lculo<\/span> da acelera&ccedil;&atilde;o da <span id=\"urn:enhancement-93710664-8774-489a-b344-da4657acda3d\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/gravidade\">gravidade<\/span> temos g = G.M\/r<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Para o 4b80-be4d-7b55605d2c7b&rdquo; class=&rdquo;textannotation disambiguated wl-creative-work&rdquo; itemid=&rdquo;https:\/\/data.wordlift.io\/wl110249\/entity\/calculo&rdquo;&gt;c&aacute;lculo da acelera&ccedil;&atilde;o da <span id=\"urn:enha&lt;\/span&gt;ncement-eafbcdb3-1971-46b3-b298-0a22d62fb593&Prime; class=&rdquo;textannotation disambiguated wl-thing&rdquo; itemid=&rdquo;https:\/\/data.wordlift.io\/wl110249\/entity\/gravidade&rdquo;&gt;gravidade&lt;\/span&gt; de Tit&atilde; g&lt;sub&gt;T&lt;\/sub&gt; = G.M&lt;sub&gt;T&lt;\/sub&gt;\/r&lt;sub&gt;T&lt;\/sub&gt;&lt;sup&gt;2&lt;\/sup&gt;&lt;\/p&gt;\n\n\n\n&lt;p class=\" wp-block-paragraph>Como &#119898;&#119879; = 1,8 &sdot; &#119898;&#119871; e r<sub>&#119879;<\/sub> = 1,5 &sdot; r<sub>&#119871;<\/sub> , assim:<\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">g<sub>T<\/sub> = G.1,8 &sdot; &#119898;&#119871;\/(1,5 &sdot; r<sub>&#119871;<\/sub>)<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Agora, vamos escrever a <span id=\"urn:enhancement-dffc8c3a-650b-450c-8b81-16e287ca1592\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/gravidade\">gravidade<\/span> da Lua, g<sub>L<\/sub> = G.M<sub>L<\/sub>\/r<sub>L<\/sub><sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">1,6 = G.M<sub>L<\/sub>\/r<sub>L<\/sub><sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Podemos substituir a rela&ccedil;&atilde;o acima na equa&ccedil;&atilde;o para a <span id=\"urn:enhancement-f29d1f03-e10d-4c02-bffe-36f75b7d7e6c\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/gravidade\">gravidade<\/span> de Tit&atilde;:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">g<sub>T<\/sub> = <strong>G.<\/strong>1,8 &sdot; <strong>&#119898;&#119871;<\/strong>\/(1,5 &sdot;<strong>r<\/strong><strong><sub>&#119871;<\/sub><\/strong> )<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">g<sub>T<\/sub> = <strong>1.6 <\/strong>. 1,8\/1,5<sup>2<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">g<sub>T<\/sub> = 2,88\/2,25<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">&#119892;&#119879; = 1,28 &#119898;\/&#119904;&sup2;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">&#119892;&#119879; &asymp; 1,3 &#119898;\/&#119904;&sup2;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Alternativa correta: <\/strong>C.<\/p>\n<\/details><h2 class=\"wp-block-heading\" id=\"h-estude-para-as-provas-com-a-coruja\"><span class=\"ez-toc-section\" id=\"Estude-para-as-provas-com-a-Coruja\"><\/span>Estude para as provas com a Coruja!<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">Nos pacotes do Estrat&eacute;gia Vestibulares, voc&ecirc; pode acessar trilhas estrat&eacute;gias, elas s&atilde;o compostas por cronogramas completos para te guiar sobre o que, como e quando estudar. Al&eacute;m disso, o Livro Digital Interativo (LDI) te ajuda durante todo o processo de aprendizagem, voc&ecirc; ler, grifar e anotar e, quando precisar revisar, todas as informa&ccedil;&otilde;es estar&atilde;o dispon&iacute;veis.<\/p><p class=\"wp-block-paragraph\">A Coruja te proporciona tudo isso alinhado com aulas did&aacute;ticas, que te d&atilde;o a base de conhecimento necess&aacute;rio em todas as disciplinas. Clique no banner e saiba mais!<\/p><figure class=\"wp-block-image size-large\"><a href=\"https:\/\/gratis.estrategiaconcursos.com.br\/ev-ebook-livro-digital-interativo-2024\/\" target=\"_blank\" rel=\"noopener noreferrer\"><img decoding=\"async\" width=\"1024\" height=\"512\" src=\"https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2024\/05\/Banner_Hero_Desktop-1-1024x512.jpg\" alt=\"\" class=\"wp-image-117037\" srcset=\"https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2024\/05\/Banner_Hero_Desktop-1-1024x512.jpg 1024w, https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2024\/05\/Banner_Hero_Desktop-1-768x384.jpg 768w, https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2024\/05\/Banner_Hero_Desktop-1-1536x768.jpg 1536w, https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2024\/05\/Banner_Hero_Desktop-1-800x400.jpg 800w, 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