{"id":2564,"date":"2016-10-26T03:45:05","date_gmt":"2016-10-26T03:45:05","guid":{"rendered":"http:\/\/fisicaevestibular.com.br\/novo\/?page_id=2564"},"modified":"2024-09-02T15:11:06","modified_gmt":"2024-09-02T15:11:06","slug":"gravitacao-universal","status":"publish","type":"page","link":"https:\/\/fisicaevestibular.com.br\/novo\/raciocinio-logico\/gravitacao-universal\/","title":{"rendered":"Gravita\u00e7\u00e3o Universal"},"content":{"rendered":"

Gravita\u00e7\u00e3o Universal<\/b><\/span><\/span><\/span><\/p>\n

Como esse conte\u00fado envolve muita teoria, em caso de d\u00favidas voc\u00ea pode encontr\u00e1-lo em <\/b><\/span><\/span><\/span><\/p>\n

fisicaevestibular.com.br \u2013 Mec\u00e2nica – Gravita\u00e7\u00e3o.<\/b><\/span><\/span><\/span><\/p>\n

(UNICAMP-SP)<\/b><\/span><\/span><\/span> <\/b>TEXTO PARA AS <\/b><\/span><\/span><\/span>QUEST\u00d5ES <\/b><\/span><\/span><\/span>01 e 02<\/b><\/span><\/span><\/span><\/p>\n

Em <\/b><\/span><\/span><\/span>setembro de 2010, J\u00fapiter<\/b><\/span><\/span><\/span> atingiu a <\/b><\/span><\/span><\/span>menor dist\u00e2ncia da Terra em muitos anos. <\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

\u00a0As <\/b><\/span><\/span><\/span>figuras acima ilustram<\/b><\/span><\/span><\/span> a situa\u00e7\u00e3o de <\/b><\/span><\/span><\/span>maior afastamento e a de maior aproxima\u00e7\u00e3o <\/b><\/span><\/span><\/span>dos planetas, considerando que <\/b><\/span><\/span><\/span>suas \u00f3rbitas s\u00e3o circulares, que o raio da \u00f3rbita terrestre (R<\/b><\/span><\/span><\/span>T<\/b><\/span><\/span><\/sub><\/span>) mede 1,5.10<\/b><\/span><\/span><\/span>11<\/b><\/span><\/span><\/sup><\/span>m e que o raio da \u00f3rbita de J\u00fapiter (R<\/b><\/span><\/span><\/span>J<\/b><\/span><\/span><\/sub><\/span>) equivale a 7,5.10<\/b><\/span><\/span><\/span>11<\/b><\/span><\/span><\/sup><\/span>m<\/b><\/span><\/span><\/span><\/p>\n

01-(UNICAMP-SP)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

De <\/b><\/span><\/span><\/span>acordo com a terceira lei de Kepler,<\/b><\/span><\/span><\/span> o <\/b><\/span><\/span><\/span>per\u00edodo\u00a0 de revolu\u00e7\u00e3o <\/b><\/span><\/span><\/span>e o <\/b><\/span><\/span><\/span>raio da \u00f3rbita desses planetas <\/b><\/span><\/span><\/span>em <\/b><\/span><\/span><\/span>torno do Sol obedecem \u00e0 rela\u00e7\u00e3o (T<\/b><\/span><\/span><\/span>j<\/b><\/span><\/span><\/sub><\/span>\/T<\/b><\/span><\/span><\/span>T<\/b><\/span><\/span><\/sub><\/span>)<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sup><\/span>\u00a0= (R<\/b><\/span><\/span><\/span>J<\/b><\/span><\/span><\/sub><\/span>\/R<\/b><\/span><\/span><\/span>T<\/b><\/span><\/span><\/sub><\/span>)<\/b><\/span><\/span><\/span>3<\/b><\/span><\/span><\/sup><\/span>, <\/b><\/span><\/span><\/span>em que <\/b><\/span><\/span><\/span>T<\/b><\/span><\/span><\/span>J<\/b><\/span><\/span><\/sub><\/span>\u00a0e T<\/b><\/span><\/span><\/span>T<\/b><\/span><\/span><\/sub><\/span>\u00a0<\/b><\/span><\/span><\/span>s\u00e3o os <\/b><\/span><\/span><\/span>per\u00edodos de J\u00fapiter\u00a0 e da Terra, respectivamente. <\/b><\/span><\/span><\/span><\/p>\n

Considerando as <\/b><\/span><\/span><\/span>\u00f3rbitas circulares <\/b><\/span><\/span><\/span>representadas na figura, o <\/b><\/span><\/span><\/span>valor de T<\/b><\/span><\/span><\/span>J<\/b><\/span><\/span><\/sub><\/span>\u00a0em anos terrestres \u00e9 mais pr\u00f3ximo de<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

02-(UNICAMP-SP)<\/b><\/span><\/span><\/span><\/p>\n


\n<\/b><\/span><\/span><\/span>Quando o segmento de reta que liga J\u00fapiter ao Sol <\/b><\/span><\/span><\/span>faz um <\/b><\/span><\/span><\/span>\u00e2ngulo de 120\u00ba <\/b><\/span><\/span><\/span>com o <\/b><\/span><\/span><\/span>segmento de reta que liga a Terra ao Sol, a<\/b><\/span><\/span><\/span>\"\"<\/p>\n

\"\"<\/p>\n

dist\u00e2ncia entre os dois planetas \u00e9 de<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

03–(UFMG-MG)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Nesta <\/b><\/span><\/span><\/span>figura<\/b><\/span><\/span><\/span> est\u00e1 representada, de <\/b><\/span><\/span><\/span>forma esquem\u00e1tica, a \u00f3rbita de um cometa em torno do Sol:<\/b><\/span><\/span><\/span><\/p>\n

Nesse <\/b><\/span><\/span><\/span>esquema, est\u00e3o assinalados quatro pontos \u2013 P. Q, R e S <\/b><\/span><\/span><\/span>\u2013 da <\/b><\/span><\/span><\/span>\u00f3rbita do cometa.<\/b><\/span><\/span><\/span>\"\"<\/p>\n

Assinalando <\/b><\/span><\/span><\/span>com um x a quadr\u00edcula apropriada, <\/b><\/span><\/span><\/span>indique em <\/b><\/span><\/span><\/span>qual dos pontos \u2013 P, Q, R ou S \u2013 o m\u00f3dulo da acelera\u00e7\u00e3o do cometa \u00e9 maior.<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Justifique sua resposta.<\/b><\/span><\/span><\/span><\/p>\n

\u00a0<\/span><\/p>\n

04-(ITA-SP)\u00a0<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Na <\/b><\/span><\/span><\/span>fic\u00e7\u00e3o cient\u00edfica A Estrela,<\/b><\/span><\/span><\/span> de H.G. Wells, um <\/b><\/span><\/span><\/span>grande aster\u00f3ide passa pr\u00f3ximo a Terra que, <\/b><\/span><\/span><\/span>em<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

consequ\u00eancia, \u00a0<\/b><\/span><\/span><\/span>fica com sua nova \u00f3rbita mais pr\u00f3xima do Sol e tem seu ciclo lunar alterado para 80 dias.<\/b><\/span><\/span><\/span><\/p>\n

Pode-se <\/b><\/span><\/span><\/span>concluir que, ap\u00f3s o fen\u00f4meno,<\/b><\/span><\/span><\/span> o <\/b><\/span><\/span><\/span>ano terrestre e a dist\u00e2ncia Terra-Lua v\u00e3o tornar-se, respectivamente,<\/b><\/span><\/span><\/span><\/p>\n

a) mais curto <\/b><\/span><\/span><\/span>\u2013 aproximadamente a <\/b><\/span><\/span><\/span>metade do que era antes. \u00a0<\/b><\/span><\/span><\/span><\/p>\n

b) mais curto <\/b><\/span><\/span><\/span>\u2013 aproximadamente <\/b><\/span><\/span><\/span>duas vezes o que era antes. \u00a0<\/b><\/span><\/span><\/span><\/p>\n

c) mais curto \u2013 <\/b><\/span><\/span><\/span>aproximadamente<\/b><\/span><\/span><\/span> quatro vezes o que era antes.\u00a0\u00a0<\/b><\/span><\/span><\/span><\/p>\n

d) mais longo <\/b><\/span><\/span><\/span>\u2013 aproximadamente a <\/b><\/span><\/span><\/span>metade do que era antes. \u00a0<\/b><\/span><\/span><\/span><\/p>\n

e) mais longo <\/b><\/span><\/span><\/span>\u2013 aproximadamente <\/b><\/span><\/span><\/span>um quarto do que era antes. \u00a0<\/b><\/span><\/span><\/span><\/p>\n

05-(ITA-SP)\u00a0<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Considere um <\/b><\/span><\/span><\/span>segmento de reta que liga o centro de qualquer planeta do sistema solar ao centro do Sol.<\/b><\/span><\/span><\/span> De acordo com a <\/b><\/span><\/span><\/span>2\u00aa Lei de Kepler, tal segmento percorre \u00e1reas iguais em tempos iguais. <\/b><\/span><\/span><\/span>\"\"<\/p>\n

Considere, ent\u00e3o, que em <\/b><\/span><\/span><\/span>dado instante deixasse de existir o efeito da gravita\u00e7\u00e3o entre o Sol e o planeta.<\/b><\/span><\/span><\/span><\/p>\n

Assinale a <\/b><\/span><\/span><\/span>alternativa correta.<\/b><\/span><\/span><\/span><\/p>\n

a) <\/b><\/span><\/span><\/span>O <\/b><\/span><\/span><\/span>segmento de reta <\/b><\/span><\/span><\/span>em quest\u00e3o <\/b><\/span><\/span><\/span>continuaria a percorrer \u00e1reas iguais em tempos iguais.\u00a0<\/b><\/span><\/span><\/span><\/p>\n

b) <\/b><\/span><\/span><\/span>A <\/b><\/span><\/span><\/span>\u00f3rbita do planeta continuaria a ser el\u00edptica<\/b><\/span><\/span><\/span>, porem com <\/b><\/span><\/span><\/span>focos diferentes e a 2\u00aa Lei de Kepler continuaria v\u00e1lida.\u00a0<\/b><\/span><\/span><\/span><\/p>\n

c) <\/b><\/span><\/span><\/span>A <\/b><\/span><\/span><\/span>\u00f3rbita do planeta deixaria de ser el\u00edptica <\/b><\/span><\/span><\/span>e a <\/b><\/span><\/span><\/span>2\u00aa Lei de Kepler n\u00e3o seria mais v\u00e1lida.\u00a0<\/b><\/span><\/span><\/span><\/p>\n

d) <\/b><\/span><\/span><\/span>A <\/b><\/span><\/span><\/span>2\u00aa Lei de Kepler s\u00f3 \u00e9 valida <\/b><\/span><\/span><\/span>quando se <\/b><\/span><\/span><\/span>considera uma for\u00e7a que depende do inverso<\/b><\/span><\/span><\/span> do <\/b><\/span><\/span><\/span>quadrado das dist\u00e2ncias entre os corpos e, portanto, deixaria de ser v\u00e1lida. <\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span><\/p>\n

e) <\/b><\/span><\/span><\/span>O <\/b><\/span><\/span><\/span>planeta iria se dirigir em dire\u00e7\u00e3o ao Sol.\u00a0<\/b><\/span><\/span><\/span><\/p>\n

06-(UNESP-SP)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

A <\/b><\/span><\/span><\/span>Terra descreve uma elipse em torno do Sol cuja \u00e1rea \u00e9 A = 6,98.10<\/b><\/span><\/span><\/span>22\u00a0<\/b><\/span><\/span><\/sup><\/span>m<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sup><\/span>\u00a0.<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

a) <\/b><\/span><\/span><\/span>Qual \u00e9 a <\/b><\/span><\/span><\/span>\u00e1rea varrida pelo raio que liga a Terra ao Sol desde zero hora do dia 1<\/b><\/span><\/span><\/span>o<\/b><\/span><\/span><\/sup><\/span>\u00a0de Abril at\u00e9 as 24horas do dia 30 de Maio do mesmo ano?\u00a0<\/b><\/span><\/span><\/span><\/p>\n

b) <\/b><\/span><\/span><\/span>Qual foi o <\/b><\/span><\/span><\/span>princ\u00edpio ou lei que voc\u00ea usou para efetuar o c\u00e1lculo acima?<\/b><\/span><\/span><\/span><\/p>\n

07-(UFPR-PR)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Neste ano, <\/b><\/span><\/span><\/span>comemoram-se os 400 anos das primeiras descobertas astron\u00f4micas <\/b><\/span><\/span><\/span>com a utiliza\u00e7\u00e3o de um <\/b><\/span><\/span><\/span>telesc\u00f3pio,<\/b><\/span><\/span><\/span> realizadas pelo cientista <\/b><\/span><\/span><\/span>italiano Galileu Galilei. <\/b><\/span><\/span><\/span><\/p>\n

Al\u00e9m de <\/b><\/span><\/span><\/span>revelar ao mundo que a Lua tem montanhas e crateras <\/b><\/span><\/span><\/span>e que o <\/b><\/span><\/span><\/span>Sol possui manchas<\/b><\/span><\/span><\/span>, ele tamb\u00e9m foi o <\/b><\/span><\/span><\/span>primeiro a apontar um telesc\u00f3pio para o planeta J\u00fapiter e observar os seus quatro<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

\u00a0<\/span>maiores sat\u00e9lites, <\/b><\/span><\/span><\/span>posteriormente<\/b><\/span><\/span><\/span> denominados de\u00a0Io, Europa,\u00a0Ganimedes\u00a0e Calisto.<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Supondo que as <\/b><\/span><\/span><\/span>\u00f3rbitas desses sat\u00e9lites ao redor de J\u00fapiter sejam circulares, <\/b><\/span><\/span><\/span>e com base nas <\/b><\/span><\/span><\/span>informa\u00e7\u00f5es da tabela acima, <\/b><\/span><\/span><\/span>assinale a <\/b><\/span><\/span><\/span>alternativa correta.<\/b><\/span><\/span><\/span> (Os valores da tabela foram arredondados por conveni\u00eancia)<\/b><\/span><\/span><\/span><\/p>\n

a) <\/b><\/span><\/span><\/span>A <\/b><\/span><\/span><\/span>for\u00e7a de atra\u00e7\u00e3o entre J\u00fapiter e\u00a0Ganimedes\u00a0<\/b><\/span><\/span><\/span>\u00e9 <\/b><\/span><\/span><\/span>maior do que entre J\u00fapiter e\u00a0Io.\u00a0<\/b><\/span><\/span><\/span><\/p>\n

b) <\/b><\/span><\/span><\/span>Quanto <\/b><\/span><\/span><\/span>maior a massa de um sat\u00e9lite, maior <\/b><\/span><\/span><\/span>ser\u00e1 o<\/b><\/span><\/span><\/span> seu per\u00edodo orbital.\u00a0<\/b><\/span><\/span><\/span><\/p>\n

c) A <\/b><\/span><\/span><\/span>circunfer\u00eancia descrita pelo sat\u00e9lite Calisto \u00e9 quatro vezes maior <\/b><\/span><\/span><\/span>que a <\/b><\/span><\/span><\/span>circunfer\u00eancia descrita pelo sat\u00e9lite Europa.\u00a0<\/b><\/span><\/span><\/span><\/p>\n

d) <\/b><\/span><\/span><\/span>A <\/b><\/span><\/span><\/span>maior velocidade angular \u00e9 a do sat\u00e9lite Calisto, por possuir maior per\u00edodo orbital.\u00a0<\/b><\/span><\/span><\/span><\/p>\n

e) <\/b><\/span><\/span><\/span>O <\/b><\/span><\/span><\/span>per\u00edodo orbital de Europa <\/b><\/span><\/span><\/span>\u00e9 aproximadamente o <\/b><\/span><\/span><\/span>dobro do per\u00edodo orbital de\u00a0Io.\u00a0<\/b><\/span><\/span><\/span><\/p>\n

08-(UDESC-SC)<\/b><\/span><\/span><\/span>\u00a0 <\/b><\/span><\/span><\/span>A <\/b><\/span><\/span><\/span>mar\u00e9 \u00e9 o fen\u00f4meno natural de subida e descida do n\u00edvel das \u00e1guas,<\/b><\/span><\/span><\/span> percebido <\/b><\/span><\/span><\/span>principalmente nos oceanos, causado pela atra\u00e7\u00e3o gravitacional do Sol e da Lua.<\/b><\/span><\/span><\/span> A <\/b><\/span><\/span><\/span>ilustra\u00e7\u00e3o<\/b><\/span><\/span><\/span> a <\/b><\/span><\/span><\/span>esquematiza <\/b><\/span><\/span><\/span>a varia\u00e7\u00e3o do <\/b><\/span><\/span><\/span>n\u00edvel das \u00e1guas ao longo de<\/b><\/span><\/span><\/span>\"\"<\/p>\n

\u00a0\u00a0uma <\/b><\/span><\/span><\/span>rota\u00e7\u00e3o completa da Terra. <\/b><\/span><\/span><\/span><\/p>\n

Considere as <\/b><\/span><\/span><\/span>seguintes proposi\u00e7\u00f5es sobre mar\u00e9,<\/b><\/span><\/span><\/span> e assinale a alternativa <\/b><\/span><\/span><\/span>incorreta.<\/b><\/span><\/span><\/span><\/p>\n

a) <\/b><\/span><\/span><\/span>As <\/b><\/span><\/span><\/span>mar\u00e9s de maior amplitude ocorrem pr\u00f3ximo das situa\u00e7\u00f5es de Lua Nova ou Lua Cheia, quando as for\u00e7as atrativas, devido ao Sol e \u00e0 Lua, se refor\u00e7am mutuamente.\u00a0<\/b><\/span><\/span><\/span><\/p>\n

b) <\/b><\/span><\/span><\/span>A <\/b><\/span><\/span><\/span>influ\u00eancia da Lua \u00e9 maior do que a do Sol, <\/b><\/span><\/span><\/span>pois, <\/b><\/span><\/span><\/span>embora a sua massa seja muito menor <\/b><\/span><\/span><\/span>do que a <\/b><\/span><\/span><\/span>do Sol, <\/b><\/span><\/span><\/span>esse fato \u00e9 <\/b><\/span><\/span><\/span>compensado pela menor dist\u00e2ncia \u00e0 Terra.\u00a0<\/b><\/span><\/span><\/span><\/p>\n

c) <\/b><\/span><\/span><\/span>A <\/b><\/span><\/span><\/span>mar\u00e9 cheia \u00e9 vista por um observador quando a Lua<\/b><\/span><\/span><\/span> passa <\/b><\/span><\/span><\/span>por cima dele, <\/b><\/span><\/span><\/span>ou <\/b><\/span><\/span><\/span>quando a Lua passa por baixo dele.\u00a0<\/b><\/span><\/span><\/span><\/p>\n

d) <\/b><\/span><\/span><\/span>As <\/b><\/span><\/span><\/span>massas de \u00e1gua que est\u00e3o mais pr\u00f3ximas da Lua ou do Sol sofrem atra\u00e7\u00e3o maior <\/b><\/span><\/span><\/span>do que as <\/b><\/span><\/span><\/span>massas de \u00e1gua que est\u00e3o mais afastadas, devido \u00e0 rota\u00e7\u00e3o da Terra.\u00a0<\/b><\/span><\/span><\/span><\/p>\n

e) <\/b><\/span><\/span><\/span>As <\/b><\/span><\/span><\/span>mar\u00e9s alta e baixa sucedem-se em intervalos de aproximadamente 6 horas.\u00a0<\/b><\/span><\/span><\/span><\/p>\n

09-(UFRGS)<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

O <\/b><\/span><\/span><\/span>cometa de Halley atingiu, <\/b><\/span><\/span><\/span>em 1986, <\/b><\/span><\/span><\/span>sua posi\u00e7\u00e3o mais pr\u00f3xima do Sol <\/b><\/span><\/span><\/span>(peri\u00e9lio) e, <\/b><\/span><\/span><\/span>no ano de 2023,\u00a0 atingir\u00e1 sua posi\u00e7\u00e3o mais afastada do Sol (af\u00e9lio).<\/b><\/span><\/span><\/span><\/p>\n

Assinale a <\/b><\/span><\/span><\/span>op\u00e7\u00e3o correta:
\n<\/b><\/span><\/span><\/span>a)<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>Entre 1986 e 2023 a <\/b><\/span><\/span><\/span>for\u00e7a gravitacional que o Sol aplica no cometa ser\u00e1 centr\u00edpeta\u00a0<\/b><\/span><\/span><\/span>
\n<\/b><\/span><\/span><\/span>b)<\/b><\/span><\/span><\/span>\u00a0Entre 1986 e 2023 o <\/b><\/span><\/span><\/span>cometa ter\u00e1 movimento uniforme\u00a0<\/b><\/span><\/span><\/span>
\n<\/b><\/span><\/span><\/span>c)<\/b><\/span><\/span><\/span>\u00a0No <\/b><\/span><\/span><\/span>ano de 2041 <\/b><\/span><\/span><\/span>a <\/b><\/span><\/span><\/span>energia potencial do sistema Sol-cometa ser\u00e1 m\u00e1xima<\/b><\/span><\/span><\/span>
\n<\/b><\/span><\/span><\/span>d)<\/b><\/span><\/span><\/span>\u00a0Ao <\/b><\/span><\/span><\/span>atingir o af\u00e9lio, no ano de 2023, a energia potencial gravitacional do sistema Sol-cometa ser\u00e1\u00a0m\u00e1xima<\/b><\/span><\/span><\/span>\"\"<\/p>\n

10-(UEMG-MG)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

\"\"<\/p>\n

A <\/b><\/span><\/span><\/span>figura<\/b><\/span><\/span><\/span> representa <\/b><\/span><\/span><\/span>dois sat\u00e9lites artificiais <\/b><\/span><\/span><\/span>em <\/b><\/span><\/span><\/span>\u00f3rbita, em torno da Terra.<\/b><\/span><\/span><\/span><\/p>\n

Baseando-se <\/b><\/span><\/span><\/span>nas <\/b><\/span><\/span><\/span>leis de Kepler,<\/b><\/span><\/span><\/span> e <\/b><\/span><\/span><\/span>diante da representa\u00e7\u00e3o mostrada, \u00c9 CORRETO <\/b><\/span><\/span><\/span>afirmar que<\/b><\/span><\/span><\/span><\/p>\n

A) <\/b><\/span><\/span><\/span>os <\/b><\/span><\/span><\/span>sat\u00e9lites 1 e 2 possuem a mesma velocidade.<\/b><\/span><\/span><\/span><\/p>\n

B) <\/b><\/span><\/span><\/span>o <\/b><\/span><\/span><\/span>sat\u00e9lite 2 <\/b><\/span><\/span><\/span>percorre uma <\/b><\/span><\/span><\/span>dist\u00e2ncia maior que o sat\u00e9lite 1, <\/b><\/span><\/span><\/span>num <\/b><\/span><\/span><\/span>mesmo intervalo de tempo.<\/b><\/span><\/span><\/span><\/p>\n

C) <\/b><\/span><\/span><\/span>o <\/b><\/span><\/span><\/span>sat\u00e9lite 2 leva mais tempo que o sat\u00e9lite 1 <\/b><\/span><\/span><\/span>para dar <\/b><\/span><\/span><\/span>uma volta completa em torno da Terra.<\/b><\/span><\/span><\/span><\/p>\n

D) <\/b><\/span><\/span><\/span>os <\/b><\/span><\/span><\/span>sat\u00e9lites 1 e 2 d\u00e3o uma volta completa em torno da Terra <\/b><\/span><\/span><\/span>no <\/b><\/span><\/span><\/span>mesmo intervalo de tempo.<\/b><\/span><\/span><\/span><\/p>\n

11-(UFBA)<\/b><\/span><\/span><\/span> <\/b><\/p>\n

\"\"<\/p>\n

Sabemos<\/b><\/span><\/span><\/span> que a <\/b><\/span><\/span><\/span>velocidade de escape da Terra \u00e9 aproximadamente 11km\/s.<\/b><\/span><\/span><\/span><\/p>\n

Entretanto, <\/b><\/span><\/span><\/span>quando observamos o lan\u00e7amento de um foguete, <\/b><\/span><\/span><\/span>\u00e9 <\/b><\/span><\/span><\/span>f\u00e1cil perceber <\/b><\/span><\/span><\/span>que sua <\/b><\/span><\/span><\/span>velocidade nos instantes iniciais \u00e9 muito inferior a este valor. Por qu\u00ea?<\/b><\/span><\/span><\/span><\/p>\n

12-(ITA-SP)<\/b><\/span><\/span><\/span> <\/b>Numa <\/b><\/span><\/span><\/span>dada balan\u00e7a, <\/b><\/span><\/span><\/span>a leitura \u00e9 <\/b><\/span><\/span><\/span>baseada na deforma\u00e7\u00e3o de uma mola <\/b><\/span><\/span><\/span>quando um <\/b><\/span><\/span><\/span>objeto \u00e9 colocado sobre sua plataforma.\u00a0 <\/b><\/span><\/span><\/span><\/p>\n

Considerando a <\/b><\/span><\/span><\/span>Terra como uma esfera homog\u00eanea, <\/b><\/span><\/span><\/span>assinale a <\/b><\/span><\/span><\/span>op\u00e7\u00e3o que indica uma posi\u00e7\u00e3o <\/b><\/span><\/span><\/span>da <\/b><\/span><\/span><\/span>balan\u00e7a sobre a superf\u00edcie terrestre onde o objeto ter\u00e1 a maior leitura<\/b><\/span><\/span><\/span>.<\/b><\/span><\/span><\/span><\/p>\n

a) latitude de 45<\/b><\/span><\/span><\/span>o<\/b><\/span><\/span><\/sup><\/span><\/p>\n

b) latitude de 60<\/b><\/span><\/span><\/span>o<\/b><\/span><\/span><\/sup><\/span><\/p>\n

c) latitude de 90<\/b><\/span><\/span><\/span>o<\/b><\/span><\/span><\/sup><\/span><\/p>\n

d) em qualquer ponto do equador<\/b><\/span><\/span><\/span><\/p>\n

e) <\/b><\/span><\/span><\/span>a <\/b><\/span><\/span><\/span>leitura independe <\/b><\/span><\/span><\/span>da <\/b><\/span><\/span><\/span>localiza\u00e7\u00e3o da balan\u00e7a j\u00e1 que a massa do objeto \u00e9 invari\u00e1vel<\/b><\/span><\/span><\/span><\/p>\n

13-(UNESP-SP)<\/b><\/span><\/span><\/span> Turistas que visitam Moscou <\/b><\/span><\/span><\/span>podem <\/b><\/span><\/span><\/span>experimentar a aus\u00eancia de gravidade <\/b><\/span><\/span><\/span>voando em <\/b><\/span><\/span><\/span>avi\u00f5es de treinamento de cosmonautas.\u00a0 <\/b><\/span><\/span><\/span><\/p>\n

Uma das <\/b><\/span><\/span><\/span>maneiras de dar aos passageiros desses v\u00f4os a sensa\u00e7\u00e3o de aus\u00eancia de gravidade, <\/b><\/span><\/span><\/span>durante um <\/b><\/span><\/span><\/span>determinado intervalo de tempo, \u00e9 fazer um desses avi\u00f5es:<\/b><\/span><\/span><\/span><\/p>\n

a) voar<\/b><\/span><\/span><\/span> em <\/b><\/span><\/span><\/span>c\u00edrculos,<\/b><\/span><\/span><\/span> num\u00a0 <\/b><\/span><\/span><\/span>plano vertical, <\/b><\/span><\/span><\/span>com<\/b><\/span><\/span><\/span> velocidade escalar constante.<\/b><\/span><\/span><\/span><\/p>\n

b) voar<\/b><\/span><\/span><\/span> em <\/b><\/span><\/span><\/span>c\u00edrculos, <\/b><\/span><\/span><\/span>num <\/b><\/span><\/span><\/span>plano horizontal,<\/b><\/span><\/span><\/span> com <\/b><\/span><\/span><\/span>velocidade escalar constante.<\/b><\/span><\/span><\/span><\/p>\n

c) voar verticalmente para cima, <\/b><\/span><\/span><\/span>com <\/b><\/span><\/span><\/span>acelera\u00e7\u00e3o igual a g.<\/b><\/span><\/span><\/span><\/p>\n

d) voar horizontalmente, <\/b><\/span><\/span><\/span>em <\/b><\/span><\/span><\/span>qualquer dire\u00e7\u00e3o, com acelera\u00e7\u00e3o igual a g.<\/b><\/span><\/span><\/span><\/p>\n

e) cair verticalmente de grande altura, em queda livre.<\/b><\/span><\/span><\/span><\/p>\n

14-(UFPE-PE)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

\"\"<\/p>\n

Um <\/b><\/span><\/span><\/span>planeta realiza uma \u00f3rbita el\u00edptica<\/b><\/span><\/span><\/span> com uma <\/b><\/span><\/span><\/span>estrela em um dos focos. <\/b><\/span><\/span><\/span><\/p>\n

Em <\/b><\/span><\/span><\/span>dois meses,<\/b><\/span><\/span><\/span> o <\/b><\/span><\/span><\/span>segmento de reta que liga aestrela ao planeta varre uma \u00e1rea A no plano da \u00f3rbita do planeta. <\/b><\/span><\/span><\/span><\/p>\n

Em <\/b><\/span><\/span><\/span>32 meses tal segmento varre uma \u00e1rea igual a \u03b1A.<\/b><\/span><\/span><\/span> Qual o <\/b><\/span><\/span><\/span>valor de \u03b1?<\/b><\/span><\/span><\/span><\/p>\n

<\/a> 15-(ENEM-MEC)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

A <\/b><\/span><\/span><\/span>caracter\u00edstica <\/b><\/span><\/span><\/span>que <\/b><\/span><\/span><\/span>permite identificar um planeta no c\u00e9u <\/b><\/span><\/span><\/span>\u00e9 o seu <\/b><\/span><\/span><\/span>movimento relativo \u00e0s estrelas fixas. <\/b><\/span><\/span><\/span><\/p>\n

Se <\/b><\/span><\/span><\/span>observarmos a posi\u00e7\u00e3o de um planeta por v\u00e1rios dias, <\/b><\/span><\/span><\/span>verificaremos que <\/b><\/span><\/span><\/span>sua posi\u00e7\u00e3o em rela\u00e7\u00e3o \u00e0s estrelas fixas se modifica regularmente. <\/b><\/span><\/span><\/span><\/p>\n

A <\/b><\/span><\/span><\/span>figura<\/b><\/span><\/span><\/span> destaca o <\/b><\/span><\/span><\/span>movimento de Marte observado em intervalos de 10 dias, registrado da Terra.<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Qual a <\/b><\/span><\/span><\/span>causa da forma da trajet\u00f3ria do planeta Marte registrada na figura?<\/b><\/span><\/span><\/span><\/p>\n

a) <\/b><\/span><\/span><\/span>A <\/b><\/span><\/span><\/span>maior velocidade orbital da Terra <\/b><\/span><\/span><\/span>faz com que, em <\/b><\/span><\/span><\/span>certas \u00e9pocas, ela ultrapasse Marte.<\/b><\/span><\/span><\/span><\/p>\n

b) <\/b><\/span><\/span><\/span>A <\/b><\/span><\/span><\/span>presen\u00e7a de outras estrelas <\/b><\/span><\/span><\/span>faz com que <\/b><\/span><\/span><\/span>sua trajet\u00f3ria seja desviada por meio da atra\u00e7\u00e3o gravitacional.<\/b><\/span><\/span><\/span><\/p>\n

c) <\/b><\/span><\/span><\/span>A <\/b><\/span><\/span><\/span>\u00f3rbita de Marte<\/b><\/span><\/span><\/span>, em <\/b><\/span><\/span><\/span>torno do Sol, <\/b><\/span><\/span><\/span>possui uma <\/b><\/span><\/span><\/span>forma el\u00edptica mais acentuada que a dos demais planetas.<\/b><\/span><\/span><\/span><\/p>\n

d) <\/b><\/span><\/span><\/span>A <\/b><\/span><\/span><\/span>atra\u00e7\u00e3o gravitacional entre a Terra e Marte faz <\/b><\/span><\/span><\/span>com que <\/b><\/span><\/span><\/span>este planeta apresente uma \u00f3rbita irregular em torno do Sol.<\/b><\/span><\/span><\/span><\/p>\n

e) <\/b><\/span><\/span><\/span>A <\/b><\/span><\/span><\/span>proximidade de Marte com J\u00fapiter, <\/b><\/span><\/span><\/span>em <\/b><\/span><\/span><\/span>algumas \u00e9pocas do ano<\/b><\/span><\/span><\/span>, faz com que a <\/b><\/span><\/span><\/span>atra\u00e7\u00e3o gravitacional de J\u00fapiter interfira em seu movimento.<\/b><\/span><\/span><\/span><\/p>\n

 <\/p>\n

Confira as resolu\u00e7\u00f5es comentadas<\/span><\/a><\/h3>\n","protected":false},"excerpt":{"rendered":"

Gravita\u00e7\u00e3o Universal Como esse conte\u00fado envolve muita teoria, em caso de d\u00favidas voc\u00ea pode encontr\u00e1-lo em fisicaevestibular.com.br \u2013 Mec\u00e2nica – Gravita\u00e7\u00e3o. (UNICAMP-SP) TEXTO PARA AS QUEST\u00d5ES 01 e 02 Em setembro de 2010, J\u00fapiter atingiu a menor dist\u00e2ncia da Terra em muitos anos. \u00a0As figuras acima ilustram a situa\u00e7\u00e3o de maior afastamento e a de maior aproxima\u00e7\u00e3o dos planetas, considerando<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":2508,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-2564","page","type-page","status-publish","hentry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/2564","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/comments?post=2564"}],"version-history":[{"count":2,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/2564\/revisions"}],"predecessor-version":[{"id":2569,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/2564\/revisions\/2569"}],"up":[{"embeddable":true,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/2508"}],"wp:attachment":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/media?parent=2564"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}