{"id":3135,"date":"2017-08-19T02:26:02","date_gmt":"2017-08-19T02:26:02","guid":{"rendered":"http:\/\/fisicaevestibular.com.br\/novo\/?page_id=3135"},"modified":"2024-06-29T23:45:26","modified_gmt":"2024-06-29T23:45:26","slug":"gravitacao","status":"publish","type":"page","link":"https:\/\/fisicaevestibular.com.br\/novo\/vestibulares-recentes\/mecanica\/gravitacao\/","title":{"rendered":"Gravita\u00e7\u00e3o"},"content":{"rendered":"

VESTIBULARES RECENTES POR ASSUNTO<\/span><\/span><\/span><\/p>\n

Gravita\u00e7\u00e3o Universal \u2013 2017, 2016 e 2015<\/span><\/span><\/span><\/p>\n

LEIS DE KEPLER<\/span><\/span><\/span><\/p>\n

01- <\/span><\/span><\/span>(FATEC \u2013 SP \u2013 017)<\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

O\u00a0<\/b><\/span><\/span>Sistema de Coordenadas Geogr\u00e1ficas\u00a0<\/b><\/span><\/span>\u00e9 definido por\u00a0<\/b><\/span><\/span>linhas imagin\u00e1rias<\/b><\/span><\/span>, que t\u00eam como objetivo\u00a0<\/b><\/span><\/span>localizar qualquer ponto sobre a superf\u00edcie terrestre<\/b><\/span><\/span>.<\/b><\/span><\/span><\/span><\/span><\/p>\n

No\u00a0<\/b><\/span><\/span>Planeta Marte<\/b><\/span><\/span>, um sistema\u00a0<\/b><\/span><\/span>semelhante<\/b><\/span><\/span>\u00a0ao descrito.<\/b><\/span><\/span><\/span><\/span><\/p>\n

(A)\u00a0<\/b><\/span><\/span>pode ser utilizado<\/b><\/span><\/span>, uma vez que esse planeta \u00e9 o\u00a0<\/b><\/span><\/span>maior do sistema solar\u00a0<\/b><\/span><\/span>e o que\u00a0<\/b><\/span><\/span>possui a maior massa<\/b><\/span><\/span>.<\/b><\/span><\/span><\/span><\/span><\/p>\n

(B)\u00a0<\/b><\/span><\/span>pode ser utilizado<\/b><\/span><\/span>, pois esse planeta\u00a0<\/b><\/span><\/span>possui formato aproximadamente esf\u00e9rico<\/b><\/span><\/span>, assim como a\u00a0<\/b><\/span><\/span>Terra<\/b><\/span><\/span>.<\/b><\/span><\/span><\/span><\/span><\/p>\n

(C)\u00a0<\/b><\/span><\/span>n\u00e3o pode ser utilizado<\/b><\/span><\/span>, por causa da exist\u00eancia de um\u00a0<\/b><\/span><\/span>intenso campo gravitacional ao seu redor<\/b><\/span><\/span>.<\/b><\/span><\/span><\/span><\/span><\/p>\n

(D)\u00a0<\/b><\/span><\/span>n\u00e3o pode ser utilizado<\/b><\/span><\/span>, j\u00e1 que sua\u00a0<\/b><\/span><\/span>composi\u00e7\u00e3o atmosf\u00e9rica \u00e9 diferente <\/b><\/span><\/span>da composi\u00e7\u00e3o encontrada na\u00a0<\/b><\/span><\/span>Terra<\/b><\/span><\/span>.<\/b><\/span><\/span><\/span><\/span><\/p>\n

(E)\u00a0<\/b><\/span><\/span>n\u00e3o pode ser utilizado<\/b><\/span><\/span>, haja vista que esse sistema\u00a0<\/b><\/span><\/span>s\u00f3 pode<\/b><\/span><\/span>\u00a0ser aplicado em um planeta que apresente\u00a0<\/b><\/span><\/span>hidrosfera semelhante \u00e0 terrestre<\/b><\/span><\/span>.<\/b><\/span><\/span><\/span><\/span><\/p>\n

02-<\/span><\/span><\/span>(FATEC \u2013 SP \u2013017)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Considere que essa viagem da Terra a Marte tem\u00a0<\/b><\/span><\/span>dura\u00e7\u00e3o de 210 dias terrestres<\/b><\/span><\/span>. Sabe-se que um ano marciano\u00a0<\/b><\/span><\/span>equivale a 687 dias terrestres<\/b><\/span><\/span>. Uma expedi\u00e7\u00e3o a Marte\u00a0<\/b><\/span><\/span>sair\u00e1 da Terra daqui a exatos seis anos terrestres<\/b><\/span><\/span>.<\/b><\/span><\/span><\/p>\n

O\u00a0<\/b><\/span><\/span>total de anos marcianos\u00a0<\/b><\/span><\/span>para que essa expedi\u00e7\u00e3o\u00a0<\/b><\/span><\/span>chegue a Marte \u00e9<\/b><\/span><\/span>, aproximadamente, igual a<\/b><\/span><\/span><\/p>\n

(A) 1,5.<\/b><\/span><\/span><\/p>\n

(B) 2,0.<\/b><\/span><\/span><\/p>\n

(C) 2,5.<\/b><\/span><\/span><\/p>\n

(D) 3,0.<\/b><\/span><\/span><\/p>\n

(E) 3,5.<\/b><\/span><\/span><\/p>\n

03-<\/b><\/span><\/span><\/span>(FGV-SP-017)<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

Johannes Kepler<\/b><\/span><\/span>\u00a0(1571-1630) foi um\u00a0<\/b><\/span><\/span>cientista dedicado ao estudo do sistema solar.<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

Uma\u00a0<\/b><\/span><\/span>das suas leis\u00a0<\/b><\/span><\/span>enuncia que as \u00f3rbitas dos planetas, em torno do Sol, s\u00e3o el\u00edpticas,\u00a0<\/b><\/span><\/span>com o\u00a0<\/b><\/span><\/span>Sol situado em um dos focos dessas elipses.<\/b><\/span><\/span><\/p>\n

Uma das\u00a0<\/b><\/span><\/span>consequ\u00eancias dessa lei resulta na varia\u00e7\u00e3o<\/b><\/span><\/span><\/p>\n

(A)\u00a0<\/b><\/span><\/span>do\u00a0<\/b><\/span><\/span>m\u00f3dulo da acelera\u00e7\u00e3o da gravidade\u00a0<\/b><\/span><\/span>na superf\u00edcie dos planetas.<\/b><\/span><\/span><\/p>\n

(B)\u00a0<\/b><\/span><\/span>da\u00a0<\/b><\/span><\/span>quantidade de mat\u00e9ria gasosa presente na atmosfera\u00a0<\/b><\/span><\/span>dos planetas.<\/b><\/span><\/span><\/p>\n

(C)\u00a0<\/b><\/span><\/span>da\u00a0<\/b><\/span><\/span>dura\u00e7\u00e3o do dia e da noite<\/b><\/span><\/span>\u00a0em cada planeta.<\/b><\/span><\/span><\/p>\n

(D)\u00a0<\/b><\/span><\/span>da\u00a0<\/b><\/span><\/span>dura\u00e7\u00e3o do ano\u00a0<\/b><\/span><\/span>de cada planeta.<\/b><\/span><\/span><\/p>\n

(E)\u00a0<\/b><\/span><\/span>da\u00a0<\/b><\/span><\/span>velocidade orbital de cada planeta\u00a0<\/b><\/span><\/span>em torno do Sol.<\/b><\/span><\/span><\/p>\n

04<\/b><\/span><\/span><\/span>–<\/b><\/span><\/span><\/span> <\/b>(IFMG-MG-2017)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

As leis de Kepler trouxeram uma nova compreens\u00e3o para a mec\u00e2nica celeste. Elas possibilitaram analisar as trajet\u00f3rias, per\u00edodos e dist\u00e2ncias de corpos celestes.<\/b><\/span><\/span>\u00a0De acordo com as Leis de Kepler, \u00e9\u00a0<\/b><\/span><\/span>CORRETO\u00a0<\/b><\/i><\/span><\/span>afirmar que o:<\/b><\/span><\/span><\/p>\n

A)\u00a0m\u00f3dulo da velocidade de um planeta em \u00f3rbita el\u00edptica \u00e9 constante.<\/b><\/span><\/span><\/p>\n

B) Sol se situa em um dos focos da trajet\u00f3ria el\u00edptica descrita por um planeta.<\/b><\/span><\/span><\/p>\n

C)\u00a0per\u00edodo de transla\u00e7\u00e3o e a massa de um planeta se relacionam atrav\u00e9s de uma propor\u00e7\u00e3o direta.<\/b><\/span><\/span><\/p>\n

D)\u00a0per\u00edodo de rota\u00e7\u00e3o de um planeta, em torno de seu eixo, e seu o per\u00edodo de transla\u00e7\u00e3o em torno do Sol s\u00e3o diretamente proporcionais.<\/b><\/span><\/span><\/p>\n

 <\/p>\n

 <\/p>\n

05- <\/b><\/span><\/span><\/span>(UNCISAL-AL-017)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Na\u00a0<\/b><\/span><\/span>noite\u00a0<\/b><\/span><\/span>do dia 14 de novembro de 2016 aconteceu o\u00a0<\/b><\/span><\/span>chamado fen\u00f4meno da Super Lua.<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

A\u00a0<\/b><\/span><\/span>informa\u00e7\u00e3o transmitida\u00a0<\/b><\/span><\/span>por muitos dos ve\u00edculos de comunica\u00e7\u00e3o era de que,\u00a0<\/b><\/span><\/span>naquela noite, \u201ca lua cheia aumentaria de tamanho\u201d.<\/b><\/span><\/span><\/p>\n

Essa afirmativa n\u00e3o \u00e9 cientificamente correta,\u00a0<\/b><\/span><\/span>visto que a Lua em si<\/b><\/span><\/span>mant\u00e9m seu tamanho natural. Qual a explica\u00e7\u00e3o mais correta para o fen\u00f4meno?<\/b><\/span><\/span><\/p>\n

A)\u00a0<\/b><\/span><\/span>O\u00a0<\/b><\/span><\/span>aumento visual no tamanho da L<\/b><\/span><\/span>ua ocorre pelo\u00a0<\/b><\/span><\/span>aumento de seu brilho<\/b><\/span><\/span>gerado quando nosso sat\u00e9lite se encontra na\u00a0<\/b><\/span><\/span>fase de lua cheia.<\/b><\/span><\/span><\/p>\n

B)\u00a0<\/b><\/span><\/span>A\u00a0<\/b><\/span><\/span>Terra se encontra no ponto mais pr\u00f3ximo do So<\/b><\/span><\/span>l, o que\u00a0<\/b><\/span><\/span>aproxima mais a Lua da Terra\u00a0<\/b><\/span><\/span>devido ao aumento dos\u00a0<\/b><\/span><\/span>efeitos gravitacionais do Sol.<\/b><\/span><\/span><\/p>\n

C) No perigeu da \u00f3rbita lunar,\u00a0<\/b><\/span><\/span>a\u00a0<\/b><\/span><\/span>coluna de ar\u00a0<\/b><\/span><\/span>entre a\u00a0<\/b><\/span><\/span>Terra e a Lua diminui; <\/b><\/span><\/span>assim, a\u00a0<\/b><\/span><\/span>atmosfera\u00a0<\/b><\/span><\/span>proporciona um\u00a0<\/b><\/span><\/span>efeito de amplia\u00e7\u00e3o visual por refra\u00e7\u00e3o.<\/b><\/span><\/span><\/p>\n

D)\u00a0<\/b><\/span><\/span>As\u00a0<\/b><\/span><\/span>for\u00e7as de mar\u00e9 s\u00e3o mais intensas<\/b><\/span><\/span>\u00a0durante o per\u00edodo\u00a0<\/b><\/span><\/span>de Lua cheia <\/b><\/span><\/span>proporcionando, assim, uma\u00a0<\/b><\/span><\/span>maior aproxima\u00e7\u00e3o desse astro em rela\u00e7\u00e3o \u00e0 Terra.<\/b><\/span><\/span><\/p>\n

E)\u00a0<\/b><\/span><\/span>A\u00a0<\/b><\/span><\/span>trajet\u00f3ria lunar n\u00e3o \u00e9 circular,<\/b><\/span><\/span>\u00a0de forma que ao\u00a0<\/b><\/span><\/span>atingir o ponto mais pr\u00f3ximo da Terra temos apenas um aumento aparente devido \u00e0 proximidade.<\/b><\/span><\/span><\/p>\n

 <\/p>\n

06- <\/b><\/span><\/span><\/span>(FUVEST-SP-016)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Quando a\u00a0<\/b><\/span><\/span>Lua est\u00e1 em quarto crescente ou quarto minguante<\/b><\/span><\/span>, o\u00a0<\/b><\/span><\/span>tri\u00e2ngulo <\/b><\/span><\/span>formado pela\u00a0<\/b><\/span><\/span>Terra, pelo Sol e pela Lua \u00e9 ret\u00e2ngulo, com a Lua no v\u00e9rtice do \u00e2ngulo reto.<\/b><\/span><\/span><\/p>\n

O astr\u00f4nomo grego Aristarco, do s\u00e9culo III a.C., usou este fato para\u00a0<\/b><\/span><\/span>obter um valor aproximado da raz\u00e3o entre as dist\u00e2ncias da Terra \u00e0 Lua, dL, e da Terra ao Sol, dS.<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

\u00c9 poss\u00edvel\u00a0<\/b><\/span><\/span>estimar<\/b><\/span><\/span>\u00a0a\u00a0<\/b><\/span><\/span>medida do \u00e2ngulo \u03b1,relativo<\/b><\/span><\/span>\u00a0ao\u00a0<\/b><\/span><\/span>v\u00e9rticeda Terra,<\/b><\/span><\/span>nessas\u00a0<\/b><\/span><\/span>duas fases<\/b><\/span><\/span>, a partir da observa\u00e7\u00e3o de que o\u00a0<\/b><\/span><\/span>tempo t1\u00a0, decorrido de uma lua quarto crescente a uma lua quarto minguante, \u00e9\u00a0<\/b><\/span><\/span>um pouco <\/b><\/span><\/span>maior do que o tempo t2,decorrido de uma lua quarto minguante a uma lua quarto<\/b><\/span><\/span><\/p>\n

crescente.<\/b><\/span><\/span><\/p>\n

Supondo que a Lua\u00a0<\/b><\/span><\/span>descreva em torno da Terra um movimento circular uniforme,<\/b><\/span><\/span>\u00a0tomando\u00a0<\/b><\/span><\/span>t1\u00a0= 14,9 dias e t2\u00a0= 14,8 dias, conclui-se que a raz\u00e3o dL\/dS\u00a0seria aproximadamente dada por<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

07- <\/b><\/span><\/span><\/span>(FAMERP-SP-015) <\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Atualmente, a\u00a0<\/b><\/span><\/span>Lua afasta-se da Terra<\/b><\/span><\/span>\u00a0a uma raz\u00e3o m\u00e9dia aproximada de\u00a0<\/b><\/span><\/span>4 cm\/ano.<\/b><\/span><\/span>\u00a0Considerando <\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

as<\/b><\/span><\/span> Leis de Kepler,<\/b><\/span><\/span>\u00a0\u00e9\u00a0<\/b><\/span><\/span>correto\u00a0<\/b><\/span><\/span>concluir que o\u00a0<\/b><\/span><\/span>per\u00edodo\u00a0<\/b><\/span><\/span>de<\/b><\/span><\/span><\/p>\n

(A)<\/b><\/span><\/span>\u00a0rota\u00e7\u00e3o da Lua n\u00e3o se altera.<\/b><\/span><\/span><\/p>\n

(B)<\/b><\/span><\/span>\u00a0rota\u00e7\u00e3o da Lua est\u00e1 diminuindo.<\/b><\/span><\/span><\/p>\n

(C)<\/b><\/span><\/span>\u00a0transla\u00e7\u00e3o da Lua ao redor da Terra n\u00e3o se altera.<\/b><\/span><\/span><\/p>\n

(D)<\/b><\/span><\/span>\u00a0transla\u00e7\u00e3o da Lua ao redor da Terra est\u00e1 aumentando.<\/b><\/span><\/span><\/p>\n

(E)<\/b><\/span><\/span>\u00a0transla\u00e7\u00e3o da Lua ao redor da Terra est\u00e1 diminuindo.<\/b><\/span><\/span><\/p>\n

08- <\/b><\/span><\/span><\/span>(UNICAMP-SP-015)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

A primeira lei de Kepler<\/b><\/span><\/span>\u00a0demonstrou que os\u00a0<\/b><\/span><\/span>planetas se movem em \u00f3rbitas el\u00edpticas e n\u00e3o circulares.<\/b><\/span><\/span><\/p>\n

A\u00a0<\/b><\/span><\/span>segunda lei<\/b><\/span><\/span>\u00a0mostrou que os\u00a0<\/b><\/span><\/span>planetas n\u00e3o se movem a uma velocidade constante.<\/b><\/span><\/span><\/p>\n

(Adaptado Marvin Perry,\u00a0<\/b><\/span><\/span>Civiliza\u00e7\u00e3o Ocidental:\u00a0<\/b><\/i><\/span><\/span>uma hist\u00f3ria concisa. S\u00e3o Paulo: Martins Fontes, 1999, p. 289.)<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

\u00c9\u00a0<\/b><\/span><\/span>correto afirmar que as leis de Kepler<\/b><\/span><\/span><\/p>\n

a)<\/b><\/span><\/span>\u00a0<\/b><\/span><\/span>confirmaram as teorias definidas por Cop\u00e9rnico<\/b><\/span><\/span>\u00a0e s\u00e3o exemplos do<\/b><\/span><\/span>modelo cient\u00edfico que passou a vigorar a partir da Alta Idade M\u00e9dia.<\/b><\/span><\/span><\/p>\n

b)<\/b><\/span><\/span>\u00a0<\/b><\/span><\/span>confirmaram<\/b><\/span><\/span>\u00a0as teorias defendidas por Ptolomeu<\/b><\/span><\/span>\u00a0e permitiram a produ\u00e7\u00e3o das cartas n\u00e1uticas usadas no per\u00edodo do descobrimento da Am\u00e9rica.<\/b><\/span><\/span><\/p>\n

c)<\/b><\/span><\/span>\u00a0s\u00e3o a\u00a0<\/b><\/span><\/span>base do modelo planet\u00e1rio geoc\u00eantrico<\/b><\/span><\/span>\u00a0e se tornaram as premissas cientificas que vigoram at\u00e9 hoje.<\/b><\/span><\/span><\/p>\n

d)<\/b><\/span><\/span>\u00a0<\/b><\/span><\/span>forneceram subs\u00eddios para demonstrar o modelo\u00a0<\/b><\/span><\/span>planet\u00e1rio helioc\u00eantrico<\/b><\/span><\/span>\u00a0e\u00a0<\/b><\/span><\/span>criticar as posi\u00e7\u00f5es<\/b><\/span><\/span><\/p>\n

defendidas pela Igreja naquela \u00e9poca.<\/b><\/span><\/span><\/p>\n

O\u00a0texto a seguir\u00a0refere-se \u00e0s quest\u00f5es de n\u00fameros\u00a009\u00a0e\u00a010.<\/b><\/span><\/span><\/span><\/p>\n

Em seu livro\u00a0<\/b><\/span><\/span>O pequeno pr\u00edncipe<\/b><\/i><\/span><\/span>, Antoine de Saint-Exup\u00e9ry<\/b><\/span><\/span>\u00a0imaginou haver vida em certo\u00a0<\/b><\/span><\/span>planeta<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

ideal.<\/b><\/span><\/span><\/p>\n

Tal planeta teria dimens\u00f5es curiosas e grandezas gravitacionais inimagin\u00e1veis na pr\u00e1tica.\u00a0<\/b><\/span><\/span>Pesquisas cient\u00edficas<\/b><\/span><\/span>, entretanto, continuam sendo realizadas e\u00a0<\/b><\/span><\/span>n\u00e3o se descarta a possibilidade<\/b><\/span><\/span> <\/b>de haver mais planetas no sistema solar, al\u00e9m dos j\u00e1 conhecidos.<\/b><\/span><\/span><\/p>\n

Imagine um\u00a0<\/b><\/span><\/span>hipot\u00e9tico planeta, distante do Sol 10 vezes mais longe do que a Terra se encontra desse astro, com massa 4 vezes maior que a terrestre e raio superficial igual \u00e0 metade do raio da Terra.<\/b><\/span><\/span>\u00a0Considere a\u00a0<\/b><\/span><\/span>acelera\u00e7\u00e3o da gravidade na superf\u00edcie da Terra expressa por g.<\/b><\/span><\/span><\/p>\n

09-(FGV-SP-015)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Esse planeta completaria uma volta em torno do Sol\u00a0<\/b><\/span><\/span>em um <\/b><\/span><\/span>tempo, expresso em anos terrestres<\/b><\/span><\/span>,<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

mais pr\u00f3ximo de<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

10-(FGV-SP-015)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Em seu livro\u00a0<\/b><\/span><\/span>O pequeno pr\u00edncipe<\/b><\/i><\/span><\/span>, Antoine de Saint-Exup\u00e9ry<\/b><\/span><\/span>\u00a0imaginou haver vida em certo\u00a0<\/b><\/span><\/span>planeta<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

ideal.<\/b><\/span><\/span>\u00a0<\/b><\/span><\/span><\/p>\n

Tal planeta teria dimens\u00f5es curiosas e grandezas gravitacionais inimagin\u00e1veis na pr\u00e1tica.\u00a0<\/b><\/span><\/span><\/p>\n

Pesquisas cient\u00edficas<\/b><\/span><\/span>, entretanto, continuam sendo realizadas e\u00a0<\/b><\/span><\/span>n\u00e3o se descarta a possibilidade<\/b><\/span><\/span> <\/b>de haver mais planetas no sistema solar, al\u00e9m dos j\u00e1 conhecidos.<\/b><\/span><\/span><\/p>\n

Imagine um\u00a0<\/b><\/span><\/span>hipot\u00e9tico planeta, distante do Sol 10 vezes mais longe do que a Terra se encontra desse astro, com massa 4 vezes maior que a terrestre e raio superficial igual \u00e0 metade do raio da Terra.<\/b><\/span><\/span>\u00a0<\/b><\/span><\/span><\/p>\n

Considere a <\/b><\/span><\/span>acelera\u00e7\u00e3o da gravidade na superf\u00edcie da Terra expressa por g.<\/b><\/span><\/span><\/p>\n

Um objeto, de\u00a0<\/b><\/span><\/span>massa m<\/b><\/span><\/span>, a uma\u00a0<\/b><\/span><\/span>altura\u00a0<\/b><\/span><\/span>h\u00a0<\/b><\/span><\/span>acima do solo desse planeta<\/b><\/span><\/span>, com h muito menor do que o raio superficial do planeta teria uma\u00a0<\/b><\/span><\/span>energia potencial dada por m\u00b7g\u00b7h multiplicada pelo fator<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

11-<\/span><\/span><\/span>(UFLA-MG-015)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Sobre a\u00a0<\/b><\/span><\/span>trajet\u00f3ria el\u00edptica realizada pela Terra em torno do Sol,\u00a0<\/b><\/span><\/span>ilustrado na figura abaixo, \u00e9\u00a0<\/b><\/span><\/span>CORRETO<\/b><\/span><\/span>\u00a0afirmar:<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

(A)\u00a0<\/b><\/span><\/span>O sistema mostrado na figura representa o modelo helioc\u00eantrico.<\/b><\/span><\/span><\/p>\n

(B)\u00a0<\/b><\/span><\/span>O sistema mostrado na figura representa o modelo geoc\u00eantrico.<\/b><\/span><\/span><\/p>\n

(C)\u00a0<\/b><\/span><\/span>O per\u00edodo de evolu\u00e7\u00e3o da Terra em torno do Sol \u00e9 de aproximadamente 24 horas.<\/b><\/span><\/span><\/p>\n

(D)\u00a0<\/b><\/span><\/span>O per\u00edodo de evolu\u00e7\u00e3o da Terra em torno do Sol \u00e9 de aproximadamente 28 dias.<\/b><\/span><\/span><\/p>\n

12-(UFJF-MG-015)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Muitas\u00a0<\/b><\/span><\/span>teorias sobre o Sistema Solar\u00a0<\/b><\/span><\/span>se sucederam, at\u00e9 que, no s\u00e9culo XVI, o polon\u00eas Nicolau<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

Cop\u00e9rnico apresentou uma vers\u00e3o revolucion\u00e1ria. Para Cop\u00e9rnico, o Sol, e n\u00e3o a Terra era o centro do sistema.<\/b><\/span><\/span><\/p>\n

Atualmente, o modelo aceito para o Sistema Solar \u00e9, basicamente, o de Cop\u00e9rnico, feitas as corre\u00e7\u00f5es propostas pelo alem\u00e3o Johannes Keppler e por cientistas subsequentes.<\/b><\/span><\/span><\/p>\n

Sobre Gravita\u00e7\u00e3o e as Leis de Kepler, considere as afirmativas, a seguir, verdadeiras\u00a0(V) ou\u00a0falsas\u00a0(F).<\/b><\/span><\/span><\/p>\n

I)\u00a0<\/b><\/span><\/span>( )\u00a0Adotando-se o Sol como referencial, todos os planetas movem-se descrevendo \u00f3rbitas el\u00edpticas, tendo o Sol como um dos focos da elipse.<\/b><\/span><\/span><\/p>\n

II)\u00a0<\/b><\/span><\/span>( )\u00a0O vetor posi\u00e7\u00e3o do centro de massa de um planeta do Sistema Solar, em rela\u00e7\u00e3o ao centro de massa do Sol, varre \u00e1reas iguais em intervalos de tempo iguais, n\u00e3o importando a posi\u00e7\u00e3o do planeta em sua \u00f3rbita.<\/b><\/span><\/span><\/p>\n

III)\u00a0<\/b><\/span><\/span>( )\u00a0O vetor posi\u00e7\u00e3o do centro de massa de um planeta do Sistema Solar, em rela\u00e7\u00e3o ao centro de massa do Sol, varre \u00e1reas proporcionais em intervalos de tempo iguais, n\u00e3o importando a posi\u00e7\u00e3o do planeta em sua \u00f3rbita.<\/b><\/span><\/span><\/p>\n

IV)\u00a0<\/b><\/span><\/span>( )\u00a0Para qualquer planeta do Sistema Solar, o quociente do cubo do raio m\u00e9dio da \u00f3rbita pelo quadrado do per\u00edodo de revolu\u00e7\u00e3o em torno do Sol \u00e9 constante.<\/b><\/span><\/span><\/p>\n

Assinale a alternativa\u00a0<\/b><\/span><\/span>CORRETA.<\/b><\/span><\/span><\/p>\n

a)\u00a0<\/b><\/span><\/span>Todas as afirmativas s\u00e3o verdadeiras.<\/b><\/span><\/span><\/p>\n

b)\u00a0<\/b><\/span><\/span>Apenas as afirmativas I, II e III s\u00e3o verdadeiras.<\/b><\/span><\/span><\/p>\n

c)\u00a0<\/b><\/span><\/span>Apenas as afirmativas I, II e IV s\u00e3o verdadeiras.<\/b><\/span><\/span><\/p>\n

d)\u00a0<\/b><\/span><\/span>Apenas as afirmativas II, III e IV s\u00e3o verdadeiras.<\/b><\/span><\/span><\/p>\n

e)\u00a0<\/b><\/span><\/span>Apenas as afirmativas I e II s\u00e3o verdadeiras.<\/b><\/span><\/span><\/p>\n

LEI DA ATRA\u00c7\u00c3O UNIVERSAL<\/span><\/span><\/span><\/p>\n

01- <\/span><\/span><\/span>(UEFS-BA-017)<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

A\u00a0<\/b><\/span><\/span>figura<\/b><\/span><\/span>\u00a0mostra como a\u00a0<\/b><\/span><\/span>for\u00e7a gravitacional entre dois corpos de massas M1\u00a0e M2<\/b><\/span><\/span>\u00a0<\/b><\/span><\/span>varia com a<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

dist\u00e2ncia entre seus centros de massas.<\/b><\/span><\/span><\/p>\n

Baseado nas\u00a0<\/b><\/span><\/span>informa\u00e7\u00f5es contidas no diagrama\u00a0<\/b><\/span><\/span>\u00e9\u00a0<\/b><\/span><\/span>correto afirmar\u00a0<\/b><\/span><\/span>que a<\/b><\/span><\/span>raz\u00e3o F1\/F2<\/b><\/span><\/span>\u00a0<\/b><\/span><\/span>\u00e9\u00a0<\/b><\/span><\/span>dada por<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

02-<\/b><\/span><\/span><\/span> (CEFET-MG-015)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

A\u00a0<\/b><\/span><\/span>figura\u00a0<\/b><\/span><\/span>seguinte mostra\u00a0<\/b><\/span><\/span>dois corpos 1 e 2 id\u00eanticos<\/b><\/span><\/span>, em\u00a0<\/b><\/span><\/span>repouso<\/b><\/span><\/span>, completamente\u00a0<\/b><\/span><\/span>imersos<\/b><\/span><\/span>\u00a0em recipientes com o\u00a0<\/b><\/span><\/span>mesmo l\u00edquido, pr\u00f3ximos \u00e0<\/b><\/span><\/span>superf\u00edcie da Terra e da Lua<\/b><\/span><\/span>, respectivamente<\/b><\/span><\/span>.<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

Se\u00a0<\/b><\/span><\/span>T<\/b><\/i><\/span><\/span>1\u00a0e\u00a0<\/b><\/span><\/span>T<\/b><\/i><\/span><\/span>2<\/b><\/span><\/span>\u00a0<\/b><\/span><\/span>s\u00e3o as\u00a0<\/b><\/span><\/span>tens\u00f5es<\/b><\/span><\/span>\u00a0nos fios,\u00a0<\/b><\/span><\/span>P<\/b><\/i><\/span><\/span>1\u00a0e\u00a0<\/b><\/span><\/span>P<\/b><\/i><\/span><\/span>2<\/b><\/span><\/span>\u00a0<\/b><\/span><\/span>os\u00a0<\/b><\/span><\/span>pesos\u00a0<\/b><\/span><\/span>dos corpos e\u00a0<\/b><\/span><\/span>F<\/b><\/i><\/span><\/span>1\u00a0e\u00a0<\/b><\/span><\/span>F<\/b><\/i><\/span><\/span>2<\/b><\/span><\/span>as for\u00e7as de\u00a0<\/b><\/span><\/span>empuxo\u00a0<\/b><\/span><\/span>que agem sobre esses corpos, ent\u00e3o \u00e9\u00a0<\/b><\/span><\/span>correto <\/b><\/span><\/span>afirmar que<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

ACELERA\u00c7\u00c2O GRAVITACIONAL<\/b><\/span><\/span><\/span><\/p>\n

01-<\/b><\/span><\/span><\/span> <\/b>(UEMG-MG-015)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

No poema\u00a0<\/b><\/span><\/span>O que se afasta,<\/b><\/span><\/span>\u00a0o eu-po\u00e9tico de S\u00edsifo<\/b><\/span><\/span>desce a montanha<\/b><\/span><\/span>afirma, por compara\u00e7\u00e3o, que as\u00a0<\/b><\/span><\/span>coisas perdem seu peso e gravidade<\/b><\/span><\/span>, percep\u00e7\u00e3o que est\u00e1 relacionada ao\u00a0<\/b><\/span><\/span>envelhecimento do homem<\/b><\/span><\/span>:<\/b><\/span><\/span><\/p>\n

\u201cDe repente voc\u00ea come\u00e7a a se despedir<\/b><\/span><\/span><\/p>\n

das pessoas, paisagens e objetos<\/b><\/span><\/span><\/p>\n

como se um trem<\/b><\/span><\/span><\/p>\n

\u2014\u00a0<\/span>fosse se afastando (\u2026)\u201d.<\/b><\/span><\/span><\/p>\n

Aproveitando o ensejo liter\u00e1rio, imagine um\u00a0<\/b><\/span><\/span>objeto pr\u00f3ximo \u00e0 superf\u00edcie da Terra<\/b><\/span><\/span>\u00a0e uma situa\u00e7\u00e3o<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

hipot\u00e9tica, por\u00e9m sem abrir m\u00e3o de\u00a0<\/b><\/span><\/span>seus importantes conhecimentos de F\u00edsica.<\/b><\/span><\/span>\u00a0Supondo a\u00a0<\/b><\/span><\/span>possibilidade de haver altera\u00e7\u00e3o no raio e\/ou na massa da Terra,<\/b><\/span><\/span>\u00a0assinale a\u00a0<\/b><\/span><\/span>op\u00e7\u00e3o\u00a0<\/b><\/span><\/span>que traz uma\u00a0<\/b><\/span><\/span>hip\u00f3tese que justificaria a diminui\u00e7\u00e3o do peso desse objeto, que se mant\u00e9m pr\u00f3ximo \u00e0 superf\u00edcie do Planeta:<\/b><\/span><\/span><\/p>\n

A)<\/b><\/span><\/span>\u00a0diminui\u00e7\u00e3o do raio da Terra e manuten\u00e7\u00e3o de sua massa.\u00a0<\/b><\/span><\/span><\/p>\n

B)<\/b><\/span><\/span>\u00a0aumento da massa da Terra e manuten\u00e7\u00e3o de seu raio.<\/b><\/span><\/span><\/p>\n

C)<\/b><\/span><\/span>\u00a0aumento do raio da Terra e diminui\u00e7\u00e3o de sua massa, na mesma propor\u00e7\u00e3o.<\/b><\/span><\/span><\/p>\n

D)<\/b><\/span><\/span>\u00a0diminui\u00e7\u00e3o do raio da Terra e aumento de sua massa, na mesma propor\u00e7\u00e3o.<\/b><\/span><\/span><\/p>\n

02- <\/b><\/span><\/span><\/span>(ESCS-DF-015)<\/b><\/span><\/span><\/span>\u00a0RL<\/b><\/span><\/span><\/span> RLU2\/R= 4,2 J Sendo a densidade da \u00e1gua 1g\/cm3= 103kg\/m3\u00a0=<\/b><\/span><\/span><\/p>\n

\"\"QUEST\u00c3O 10<\/b><\/span><\/span><\/p>\n

O\u00a0<\/b><\/span><\/span>volume<\/b><\/span><\/span>\u00a0e a\u00a0<\/b><\/span><\/span>massa\u00a0<\/b><\/span><\/span>do planeta\u00a0<\/b><\/span><\/span>Marte s\u00e3o menores que os da Terra<\/b><\/span><\/span>. L\u00e1, a <\/b><\/span><\/span>press\u00e3o atmosf\u00e9rica<\/b><\/span><\/span>\u00a0\u00e9 muito\u00a0<\/b><\/span><\/span>pequena, da ordem de 0,007 atm,<\/b><\/span><\/span>\u00a0e a temperatura pode variar de \u2013 12 <\/b><\/span><\/span>o<\/b><\/span><\/sup><\/span>C a 62\u00a0<\/b><\/span><\/span>o<\/b><\/span><\/sup><\/span>C.<\/b><\/span><\/span><\/p>\n

A tabela a seguir apresenta alguns\u00a0<\/b><\/span><\/span>par\u00e2metros de Marte e da Terra<\/b><\/span><\/span>, considerando-se que as orbitas desses planetas\u00a0<\/b><\/span><\/span>sejam circulares.<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

Tendo como\u00a0<\/b><\/span><\/span>referencia as informa\u00e7\u00f5es acima<\/b><\/span><\/span>, assinale a\u00a0<\/b><\/span><\/span>op\u00e7\u00e3o correta.<\/b><\/span><\/span><\/p>\n

A.<\/b><\/span><\/span>\u00a0A gravidade em Marte e duas vezes maior que na Terra.<\/b><\/span><\/span><\/p>\n

B<\/b><\/span><\/span>. Caso exista \u00e1gua em Marte, ela ferver\u00e1 a uma temperatura menor que na Terra.<\/b><\/span><\/span><\/p>\n

C.<\/b><\/span><\/span>\u00a0Se, na Terra, um corpo tem massa de 70 kg, ent\u00e3o, em Marte, ele ter\u00e1 massa menor.<\/b><\/span><\/span><\/p>\n

D<\/b><\/span><\/span>. O ano em Marte \u00e9 menor que o ano na Terra.<\/b><\/span><\/span><\/p>\n

03- <\/b><\/span><\/span><\/span>(Medicina \u2013 USCS-SP-016)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Em julho deste ano, a nave americana\u00a0<\/b><\/span><\/span>New Horizons<\/b><\/span><\/span>\u00a0passou bem perto da<\/b><\/span><\/span>superf\u00edcie de Plut\u00e3o,<\/b><\/span><\/span>\u00a0colhendo\u00a0<\/b><\/span><\/span>dados\u00a0<\/b><\/span><\/span>importantes sobre esse\u00a0<\/b><\/span><\/span>planeta-an\u00e3o.<\/b><\/span><\/span><\/p>\n

Agora se sabe que\u00a0<\/b><\/span><\/span>Plut\u00e3o possui 5 sat\u00e9lites naturais<\/b><\/span><\/span>\u00a0orbitando ao seu redor.\u00a0 <\/b><\/span><\/span>Caronte,<\/b><\/span><\/span>\u00a0o\u00a0<\/b><\/span><\/span>maior\u00a0<\/b><\/span><\/span>deles,<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

possui\u00a0<\/b><\/span><\/span>massa aproximadamente igual \u00e0 d\u00e9cima parte da de Plut\u00e3o<\/b><\/span><\/span>, tendo o\u00a0<\/b><\/span><\/span>di\u00e2metro superficial igual<\/b><\/span><\/span>\u00a0<\/b><\/span><\/span>\u00e0 metade do di\u00e2metro superficial de Plut\u00e3o.<\/b><\/span><\/span>Com base\u00a0<\/b><\/span><\/span>nesses dados,<\/b><\/span><\/span>\u00a0a\u00a0<\/b><\/span><\/span>rela\u00e7\u00e3o correta<\/b><\/span><\/span>\u00a0entre as\u00a0<\/b><\/span><\/span>intensidades dos campos gravitacionais na superf\u00edcie de Caronte e na de Plut\u00e3o (gC\u00a0\/gP\u00a0)<\/b><\/span><\/span>\u00a0\u00e9<\/b><\/span><\/span><\/p>\n

(A)\u00a0<\/b><\/span><\/span>5\/4<\/b><\/span><\/span>\u00a0(B)\u00a0<\/b><\/span><\/span>1\/5<\/b><\/span><\/span>\u00a0(C)\u00a0<\/b><\/span><\/span>2\/5<\/b><\/span><\/span>\u00a0(D)\u00a0<\/b><\/span><\/span>5\/6<\/b><\/span><\/span>\u00a0(E)\u00a0<\/b><\/span><\/span>3\/5<\/b><\/span><\/span><\/p>\n

04- <\/span><\/span><\/span>(MACKENZIE-SP-2017)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

\"\"<\/p>\n

Quando o\u00a0<\/b><\/span><\/span>astronauta Neil Armstrong<\/b><\/span><\/span>\u00a0desceu do m\u00f3dulo lunar e\u00a0<\/b><\/span><\/span>pisou na Lua,<\/b><\/span><\/span>\u00a0em 20 de julho de 1969,<\/b><\/span><\/span> <\/b>a\u00a0<\/b><\/span><\/span>sua massa total, incluindo seu corpo, trajes especiais e equipamento de sobreviv\u00eancia\u00a0<\/b><\/span><\/span>eram de aproximadamente<\/b><\/span><\/span>300 kg.<\/b><\/span><\/span><\/p>\n

O\u00a0<\/b><\/span><\/span>campo gravitacional lunar\u00a0<\/b><\/span><\/span>\u00e9, aproximadamente,\u00a0<\/b><\/span><\/span>1\/6 do campo gravitacional terrestre.<\/b><\/span><\/span><\/p>\n

Se a\u00a0<\/b><\/span><\/span>acelera\u00e7\u00e3o da gravidade na Terra \u00e9 aproximadamente 10,0 m\/s2, podemos afirmar\u00a0<\/b><\/span><\/span>que<\/b><\/span><\/span><\/p>\n

a)\u00a0<\/b><\/span><\/span>a\u00a0<\/b><\/span><\/span>massa total\u00a0<\/b><\/span><\/span>de Armstrong na\u00a0<\/b><\/span><\/span>Lua \u00e9 de 300 kg e seu peso \u00e9 500 N.\u00a0<\/b><\/span><\/span><\/p>\n

b)\u00a0<\/b><\/span><\/span>a\u00a0<\/b><\/span><\/span>massa total\u00a0<\/b><\/span><\/span>de Armstrong na\u00a0<\/b><\/span><\/span>Terra \u00e9 de 50,0 kg e seu peso \u00e9 3000 N.\u00a0<\/b><\/span><\/span><\/p>\n

c)\u00a0<\/b><\/span><\/span>a\u00a0<\/b><\/span><\/span>massa total\u00a0<\/b><\/span><\/span>de Armstrong na\u00a0<\/b><\/span><\/span>Terra \u00e9 de 300 kg e seu peso \u00e9 500 N.\u00a0<\/b><\/span><\/span><\/p>\n

d)\u00a0<\/b><\/span><\/span>a\u00a0<\/b><\/span><\/span>massa total\u00a0<\/b><\/span><\/span>de Armstrong na\u00a0<\/b><\/span><\/span>Lua \u00e9 de 50,0 kg e seu peso \u00e9 3000 N.\u00a0<\/b><\/span><\/span><\/p>\n

e)\u00a0<\/b><\/span><\/span>o\u00a0<\/b><\/span><\/span>peso\u00a0de Armstrong\u00a0<\/b><\/span><\/span>na\u00a0<\/b><\/span><\/span>Lua e na Terra s\u00e3o iguais.<\/b><\/span><\/span><\/p>\n

05- <\/span><\/span><\/span>(FAMERP-SP-017)<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

A\u00a0<\/b><\/span><\/span>figura\u00a0<\/b><\/span><\/span>representa um\u00a0<\/b><\/span><\/span>sat\u00e9lite artificial girando ao redor da Terra em movimento circular e<\/b><\/span><\/span>\u00a0<\/b><\/span><\/span>uniforme com per\u00edodo de rota\u00e7\u00e3o de 140 minutos.<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

O\u00a0<\/b><\/span><\/span>gr\u00e1fico\u00a0<\/b><\/span><\/span>representa\u00a0<\/b><\/span><\/span>como varia o m\u00f3dulo da acelera\u00e7\u00e3o da gravidade terrestre\u00a0<\/b><\/span><\/span>para pontos\u00a0<\/b><\/span><\/span>situados at\u00e9 uma dist\u00e2ncia 2R do centro da Terra, onde R = 6 400 km \u00e9 o raio da Terra.<\/b><\/span><\/span><\/p>\n

Considere a\u00a0<\/b><\/span><\/span>Terra perfeitamente esf\u00e9rica\u00a0<\/b><\/span><\/span>e as\u00a0<\/b><\/span><\/span>informa\u00e7\u00f5es contidas na figura e no gr\u00e1fico.<\/b><\/span><\/span><\/p>\n

a) Calcule<\/b><\/span><\/span>\u00a0o\u00a0<\/b><\/span><\/span>menor intervalo de tempo,\u00a0<\/b><\/span><\/span>em\u00a0<\/b><\/span><\/span>minutos, para que o sat\u00e9lite se movimente da posi\u00e7\u00e3o A para a posi\u00e7\u00e3o B.<\/b><\/span><\/span><\/p>\n

b)\u00a0<\/b><\/span><\/span>Determine o\u00a0<\/b><\/span><\/span>m\u00f3dulo da acelera\u00e7\u00e3o da gravidade terrestre,\u00a0<\/b><\/span><\/span>em\u00a0<\/b><\/span><\/span>m\/s2,<\/b><\/span><\/span>\u00a0na <\/b><\/span><\/span>posi\u00e7\u00e3o em que se encontra o sat\u00e9lite.<\/b><\/span><\/span><\/p>\n

 <\/p>\n

VELOCIDADES EM \u00d3RBITAS CIRCULARES<\/b><\/span><\/span><\/span><\/p>\n

01- <\/span><\/span><\/span>(PUC-RJ-016)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Dois pequenos sat\u00e9lites de\u00a0<\/b><\/span><\/span>mesma massa\u00a0<\/b><\/span><\/span>descrevem\u00a0<\/b><\/span><\/span>\u00f3rbitas circulares <\/b><\/span><\/span>em torno de um planeta, tal que o\u00a0<\/b><\/span><\/span>raio da \u00f3rbita de um \u00e9 quatro vezes menor que o do outro<\/b><\/span><\/span>. O\u00a0<\/b><\/span><\/span>sat\u00e9lite mais distante tem um per\u00edodo de 28 dias<\/b><\/span><\/span>. Qual \u00e9 o per\u00edodo, em dias, do sat\u00e9lite mais pr\u00f3ximo?<\/b><\/span><\/span><\/p>\n

(A) 3,5<\/b><\/span><\/span><\/p>\n

(B) 7,0<\/b><\/span><\/span><\/p>\n

(C) 14<\/b><\/span><\/span><\/p>\n

(D) 56<\/b><\/span><\/span><\/p>\n

(E) 112<\/b><\/span><\/span><\/p>\n

02-<\/b><\/span><\/span><\/span>(UFSC-SC-016)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Quer subir de\u00a0<\/b><\/span><\/span>elevador<\/b><\/span><\/span>\u00a0at\u00e9 o espa\u00e7o? Apesar de esta ideia j\u00e1 ter surgido h\u00e1\u00a0<\/b><\/span><\/span>mais de 100 anos<\/b><\/span><\/span>, um avan\u00e7o em nanotecnologia pode significar que iremos de elevador at\u00e9 o espa\u00e7o com um cabo feito de diamante ou de carbono. A empresa japonesa de constru\u00e7\u00e3o Obayashi investiga a viabilidade de um elevador espacial, visando a uma esta\u00e7\u00e3o espacial ligada ao equador por um cabo de 96000 quil\u00f4metros feito de nanotecnologia de carbono, conforme a figura abaixo. A esta\u00e7\u00e3o espacial orbitaria a Terra numa\u00a0<\/b><\/span><\/span>posi\u00e7\u00e3o geoestacion\u00e1ria<\/b><\/span><\/span>\u00a0e carros rob\u00f3ticos com motores magn\u00e9ticos levariam sete dias para alcan\u00e7ar a esta\u00e7\u00e3o espacial, transportando carga e pessoas at\u00e9 o espa\u00e7o por uma fra\u00e7\u00e3o dos custos atuais.<\/b><\/span><\/span>\"\"<\/p>\n

Considerando que, <\/b><\/span><\/span>fisicamente<\/b><\/span><\/span>, seja poss\u00edvel a implementa\u00e7\u00e3o desse elevador espacial, \u00e9 <\/b><\/span><\/span>CORRETO<\/b><\/span><\/span>\u00a0afirmar que:<\/b><\/span><\/span><\/p>\n

01. a esta\u00e7\u00e3o espacial japonesa\u00a0<\/b><\/span><\/span>deve<\/b><\/span><\/span>\u00a0possuir <\/b><\/span><\/span>movimento circular<\/b><\/span><\/span>\u00a0ao redor da Terra com <\/b><\/span><\/span>velocidade linear<\/b><\/span><\/span>\u00a0igual \u00e0 <\/b><\/span><\/span>velocidade linear<\/b><\/span><\/span>\u00a0de rota\u00e7\u00e3o da superf\u00edcie da\u00a0<\/b><\/span><\/span>Terra<\/b><\/span><\/span>.<\/b><\/span><\/span><\/p>\n

02. as pessoas que visitarem a esta\u00e7\u00e3o espacial poder\u00e3o\u00a0<\/b><\/span><\/span>flutuar<\/b><\/span><\/span>\u00a0no seu interior porque l\u00e1\u00a0<\/b><\/span><\/span>n\u00e3o<\/b><\/span><\/span>\u00a0haver\u00e1\u00a0<\/b><\/span><\/span>atra\u00e7\u00e3o gravitacional<\/b><\/span><\/span>.<\/b><\/span><\/span><\/p>\n

04. a\u00a0<\/b><\/span><\/span>velocidade angular<\/b><\/span><\/span>\u00a0da esta\u00e7\u00e3o espacial deve ser\u00a0<\/b><\/span><\/span>igual<\/b><\/span><\/span>\u00a0\u00e0\u00a0<\/b><\/span><\/span>velocidade angular<\/b><\/span><\/span>\u00a0de rota\u00e7\u00e3o da\u00a0<\/b><\/span><\/span>Terra<\/b><\/span><\/span>.<\/b><\/span><\/span><\/p>\n

08. um\u00a0<\/b><\/span><\/span>carro rob\u00f3tico<\/b><\/span><\/span>\u00a0ter\u00e1, no trajeto da Terra at\u00e9 a esta\u00e7\u00e3o espacial, <\/b><\/span><\/span>vetor velocidade constante<\/b><\/span><\/span>.<\/b><\/span><\/span><\/p>\n

16. o\u00a0<\/b><\/span><\/span>per\u00edodo<\/b><\/span><\/span>\u00a0do movimento da\u00a0<\/b><\/span><\/span>esta\u00e7\u00e3o espacial<\/b><\/span><\/span>\u00a0ao redor da Terra deve ser\u00a0<\/b><\/span><\/span>igual<\/b><\/span><\/span>\u00a0ao\u00a0<\/b><\/span><\/span>per\u00edodo<\/b><\/span><\/span>\u00a0de rota\u00e7\u00e3o di\u00e1ria da\u00a0<\/b><\/span><\/span>Terra<\/b><\/span><\/span>.<\/b><\/span><\/span><\/p>\n

32. a\u00a0<\/b><\/span><\/span>for\u00e7a de atra\u00e7\u00e3o gravitacional<\/b><\/span><\/span>\u00a0da Terra\u00a0<\/b><\/span><\/span>ser\u00e1<\/b><\/span><\/span>\u00a0a\u00a0<\/b><\/span><\/span>for\u00e7a centr\u00edfuga<\/b><\/span><\/span>, respons\u00e1vel por manter a esta\u00e7\u00e3o espacial em \u00f3rbita.<\/b><\/span><\/span><\/p>\n

64. o valor da\u00a0<\/b><\/span><\/span>acelera\u00e7\u00e3o da gravidade (g)<\/b><\/span><\/span>\u00a0na posi\u00e7\u00e3o da esta\u00e7\u00e3o espacial ter\u00e1 um\u00a0<\/b><\/span><\/span>m\u00f3dulo menor<\/b><\/span><\/span>\u00a0que seu valor na superf\u00edcie da\u00a0<\/b><\/span><\/span>Terra<\/b><\/span><\/span>.<\/b><\/span><\/span><\/p>\n

03-(FUVEST-SP-015)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

A\u00a0<\/b><\/span><\/span>not\u00edcia<\/b><\/span><\/span>\u00a0\u201cSat\u00e9lite brasileiro cai na Terra ap\u00f3s lan\u00e7amento falhar\u201d, veiculada pelo jornal O Estado de S. Paulo de 10\/12\/2013, relata que o <\/b><\/span><\/span>sat\u00e9lite CBERS-3, desenvolvido em parceria entre Brasil e <\/b><\/span><\/span><\/p>\n

\"Gravita\u00e7\u00e3o\"<\/p>\n

China,<\/b><\/span><\/span> <\/b>foi lan\u00e7ado no espa\u00e7o a uma\u00a0<\/b><\/span><\/span>altitude de 720 km<\/b><\/span><\/span>\u00a0(menor do que a planejada) e com uma\u00a0<\/b><\/span><\/span>velocidade abaixo da necess\u00e1ria para coloc\u00e1-lo em \u00f3rbita em torno da Terra<\/b><\/span><\/span>. Para que o sat\u00e9lite pudesse\u00a0<\/b><\/span><\/span>ser colocado em <\/b><\/span><\/span>\u00f3rbita circular na altitude de 720 km,<\/b><\/span><\/span>\u00a0o\u00a0<\/b><\/span><\/span>m\u00f3dulo de sua velocidade<\/b><\/span><\/span>\u00a0(com dire\u00e7\u00e3o tangente \u00e0 \u00f3rbita)\u00a0<\/b><\/span><\/span>deveria ser de, aproximadamente<\/b><\/span><\/span>,<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

Confira as resolu\u00e7\u00f5es comentadas<\/span><\/a><\/h3>\n

 <\/p>\n

Clique aqui para ver sobre o tema!<\/a><\/p>\n

Confira as v\u00eddeo aulas!<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

VESTIBULARES RECENTES POR ASSUNTO Gravita\u00e7\u00e3o Universal \u2013 2017, 2016 e 2015 LEIS DE KEPLER 01- (FATEC \u2013 SP \u2013 017) O\u00a0Sistema de Coordenadas Geogr\u00e1ficas\u00a0\u00e9 definido por\u00a0linhas imagin\u00e1rias, que t\u00eam como objetivo\u00a0localizar qualquer ponto sobre a superf\u00edcie terrestre. No\u00a0Planeta Marte, um sistema\u00a0semelhante\u00a0ao descrito. (A)\u00a0pode ser utilizado, uma vez que esse planeta \u00e9 o\u00a0maior do sistema solar\u00a0e o que\u00a0possui a maior massa.<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":3123,"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-3135","page","type-page","status-publish","hentry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/3135","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=3135"}],"version-history":[{"count":5,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/3135\/revisions"}],"predecessor-version":[{"id":9855,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/3135\/revisions\/9855"}],"up":[{"embeddable":true,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/3123"}],"wp:attachment":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/media?parent=3135"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}