{"id":399,"date":"2015-01-29T18:54:59","date_gmt":"2015-01-29T18:54:59","guid":{"rendered":"http:\/\/fisicaevestibular.com.br\/novo\/?page_id=399"},"modified":"2024-09-03T12:58:41","modified_gmt":"2024-09-03T12:58:41","slug":"exercicios-resolvidos-da-unicamp-2015","status":"publish","type":"page","link":"https:\/\/fisicaevestibular.com.br\/novo\/universidades-2015\/exercicios-resolvidos-da-unicamp-2015\/","title":{"rendered":"Exerc\u00edcios Resolvidos da UNICAMP 2015"},"content":{"rendered":"

\"\"<\/p>\n

A\u00a0<\/span>Unicamp\u00a0\u00e9 uma autarquia, aut\u00f4noma em pol\u00edtica educacional, mas subordinada ao Governo Estadual no que se refere a subs\u00eddios para a sua opera\u00e7\u00e3o. Assim, os recursos financeiros s\u00e3o obtidos principalmente do Governo do Estado de S\u00e3o Paulo e de institui\u00e7\u00f5es nacionais e internacionais de fomento.<\/b><\/span><\/span><\/span><\/p>\n

A\u00a0Cidade Universit\u00e1ria “Zeferino Vaz”\u00a0se localiza no distrito de Bar\u00e3o Geraldo, regi\u00e3o noroeste de Campinas. Fica a 12km do centro da cidade.<\/b><\/span><\/span><\/span><\/p>\n

A\u00a0Unicamp n\u00e3o se limita ao campus de Bar\u00e3o Geraldo, onde est\u00e3o 19 de seus institutos e faculdades. O complexo se estende pelas cidades de Piracicaba, sede da Faculdade de Odontologia de Piracicaba (FOP), por Limeira, onde funcionam a Faculdade de Ci\u00eancias Aplicadas (FCA), a Faculdade de Tecnologia (FT) e o Col\u00e9gio T\u00e9cnico de Limeira (Cotil) e por Paul\u00ednia, onde fica o Centro Pluridisciplinar de Pesquisas Qu\u00edmicas, Biol\u00f3gicas e Agr\u00edcolas (CPQBA). Em Campinas est\u00e1 ainda, na regi\u00e3o central, o Col\u00e9gio T\u00e9cnico de Campinas (Cotuca).<\/b><\/span><\/span><\/span><\/p>\n

Em 2011, o\u00a0QS World University\u00a0classificou a Unicamp como a 235\u00aa melhor universidade do mundo e a 3\u00aa melhor da\u00a0Am\u00e9rica Latina.\u00a0De acordo com a\u00a0Classifica\u00e7\u00e3o Acad\u00eamica das Universidades Mundiais\u00a0(ARWU – sigla em ingl\u00eas) de 2011, a Unicamp est\u00e1 classificada entre as posi\u00e7\u00f5es 201\u00aa e 300\u00aa entre as 500 universidades analisadas no mundo.\u00a0Em novembro do mesmo ano, a Unicamp foi considerada a melhor universidade do pa\u00eds, segundo o \u00cdndice Geral de Cursos (IGC) do Minist\u00e9rio da Educa\u00e7\u00e3o.<\/b><\/span><\/span><\/span><\/p>\n

A principal forma de ingresso na UNICAMP \u00e9 o \u00a0Vestibular Nacional da Unicamp avalia a aptid\u00e3o e o potencial dos candidatos que pretendem ingressar em seus diversos cursos.<\/b><\/span><\/span><\/span><\/p>\n

A sele\u00e7\u00e3o \u00e9 feita pela Comiss\u00e3o Permanente para os Vestibulares (COMVEST) atrav\u00e9s de provas discursivas e valoriza\u00e7\u00e3o da reda\u00e7\u00e3o.<\/b><\/span><\/span><\/span><\/p>\n

PRIMEIRA FASE<\/span><\/span><\/span><\/p>\n

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

\"\"<\/p>\n

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

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

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

\"\"<\/p>\n

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

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

b)<\/b><\/span><\/span><\/span> <\/b>confirmaram<\/b><\/span><\/span><\/span> as teorias defendidas por Ptolomeu<\/b><\/span><\/span><\/span> e 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><\/span> s\u00e3o a <\/b><\/span><\/span>base do modelo planet\u00e1rio geoc\u00eantrico<\/b><\/span><\/span><\/span> e se tornaram as premissas cientificas que vigoram at\u00e9 hoje.<\/b><\/span><\/span><\/p>\n

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

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

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

Texto para as quest\u00f5es <\/b><\/span><\/span><\/span>02, 03 e 04.<\/b><\/span><\/span><\/span><\/p>\n

Recentemente,<\/b><\/span><\/span><\/span> uma equipe de astr\u00f4nomos afirmou ter <\/b><\/span><\/span><\/span>identificado uma estrela com dimens\u00f5es<\/b><\/span><\/span><\/span> <\/b>compar\u00e1veis \u00e0s da Terra<\/b><\/span><\/span><\/span>, composta predominantemente de<\/b><\/span><\/span><\/span>diamante.<\/b><\/span><\/span><\/span> <\/b>Por ser muito frio<\/b><\/span><\/span><\/span>, o astro,<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

possivelmente uma <\/b><\/span><\/span><\/span>estrela an\u00e3 branca<\/b><\/span><\/span><\/span>, teria tido o <\/b><\/span><\/span><\/span>carbono de sua composi\u00e7\u00e3o cristalizado<\/b><\/span><\/span><\/span> em forma de um <\/b><\/span><\/span><\/span>diamante<\/b><\/span><\/span><\/span> <\/b>praticamente do tamanho da Terra.<\/b><\/span><\/span><\/span><\/p>\n

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

\"\"<\/p>\n

Os <\/b><\/span><\/span><\/span>astr\u00f4nomos estimam<\/b><\/span><\/span><\/span> que a estrela estaria situada a <\/b><\/span><\/span><\/span>uma dist\u00e2ncia d = 9,0.10<\/b><\/span><\/span><\/span>18<\/b><\/span><\/span><\/sup><\/span> m da Terra.<\/b><\/span><\/span><\/span> Considerando um <\/b><\/span><\/span><\/span>foguete que se desloca a uma <\/b><\/span><\/span><\/span>velocidade v = 1,5.10<\/b><\/span><\/span><\/span>4<\/b><\/span><\/span><\/sup><\/span> m\/s<\/b><\/span><\/span><\/span>,<\/b><\/span><\/span><\/span> o <\/b><\/span><\/span><\/span>tempo de viagem do foguete da Terra at\u00e9 essa estrela seria de <\/b><\/span><\/span><\/span>(1 ano \u2248 3,0.10<\/b><\/span><\/span><\/span>7<\/b><\/span><\/span><\/sup><\/span> s)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

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

\"\"<\/p>\n

Considerando que a <\/b><\/span><\/span>massa e as dimens\u00f5es dessa estrela s\u00e3o compar\u00e1veis \u00e0s da Terra<\/b><\/span><\/span><\/span>, espera-se que a <\/b><\/span><\/span>acelera\u00e7\u00e3o da gravidade que atua em corpos pr\u00f3ximos \u00e0 superf\u00edcie de ambos os astros seja constante e de valor n\u00e3o muito diferente.<\/b><\/span><\/span><\/span> Suponha que um <\/b><\/span><\/span>corpo abandonado, a partir do repouso,<\/b><\/span><\/span><\/span> de uma <\/b><\/span><\/span>altura h = 54 m da superf\u00edcie da estrela<\/b><\/span><\/span><\/span>, <\/b><\/span><\/span>apresente um <\/b><\/span><\/span><\/span>tempo de queda t = 3,0 s<\/b><\/span><\/span><\/span>. Desta forma,<\/b><\/span><\/span><\/p>\n

pode-se afirmar que <\/b><\/span><\/span><\/span>a acelera\u00e7\u00e3o da gravidade<\/b><\/span><\/span><\/span> na estrela<\/b><\/span><\/span><\/span> \u00e9 de<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

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

\"\"<\/p>\n

Os <\/b><\/span><\/span>c\u00e1lculos dos pesquisadores<\/b><\/span><\/span><\/span> sugerem que a <\/b><\/span><\/span>temperatura m\u00e9dia dessa estrela \u00e9 de Ti = 2.700 <\/b><\/span><\/span><\/span>o<\/b><\/span><\/span><\/sup><\/span>C.<\/b><\/span><\/span><\/span> Considere <\/b><\/span><\/span>uma estrela como um corpo homog\u00eaneo de <\/b><\/span><\/span><\/span>massa M = 6,0.10<\/b><\/span><\/span><\/span>24<\/b><\/span><\/span><\/sup><\/span> kg<\/b><\/span><\/span><\/span> constitu\u00edda de um <\/b><\/span><\/span>material com <\/b><\/span><\/span><\/span>calor espec\u00edfico c = 0,5 kJ\/(kg <\/b><\/span><\/span><\/span>o<\/b><\/span><\/span><\/sup><\/span>C).<\/b><\/span><\/span><\/span> A <\/b><\/span><\/span>quantidade de calor que deve ser perdida pela estrela para que ela atinja uma temperatura final de T<\/b><\/span><\/span><\/span>f<\/b><\/span><\/span><\/sub><\/span> = 700 <\/b><\/span><\/span><\/span>o<\/b><\/span><\/span><\/sup><\/span>C \u00e9 igual a<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

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

\"\"<\/p>\n

Considere um <\/b><\/span><\/span><\/span>computador que armazena informa\u00e7\u00f5es em um disco r\u00edgido<\/b><\/span><\/span><\/span> que gira a uma <\/b><\/span><\/span><\/span>frequ\u00eancia<\/b><\/span><\/span><\/span> <\/b>de 120 Hz<\/b><\/span><\/span><\/span>. Cada <\/b><\/span><\/span><\/span>unidade de informa\u00e7\u00e3o<\/b><\/span><\/span><\/span> ocupa um<\/b><\/span><\/span><\/span>comprimento f\u00edsico de 0,2 \u03bcm<\/b><\/span><\/span><\/span> na dire\u00e7\u00e3o do movimento de rota\u00e7\u00e3o do disco.<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Quantas informa\u00e7\u00f5es magn\u00e9ticas<\/b><\/span><\/span><\/span> passam, <\/b><\/span><\/span><\/span>por segundo<\/b><\/span><\/span><\/span>, pela cabe\u00e7a de leitura, se ela estiver<\/b><\/span><\/span><\/span> <\/b>posicionada a 3 cm do centro de seu eixo<\/b><\/span><\/span><\/span>, como mostra o <\/b><\/span><\/span><\/span>esquema simplificado<\/b><\/span><\/span><\/span> apresentado abaixo? <\/b><\/span><\/span><\/span>(Considere \u03c0 \u2248 3.)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Texto para as quest\u00f5es 06 e 07.<\/b><\/span><\/span><\/span><\/p>\n

A <\/b><\/span><\/span>figura abaixo<\/b><\/span><\/span><\/span> mostra, de forma simplificada, o <\/b><\/span><\/span>sistema de freios a disco de um autom\u00f3vel<\/b><\/span><\/span><\/span>. Ao se <\/b><\/span><\/span>pressionar o pedal do freio<\/b><\/span><\/span><\/span>, este <\/b><\/span><\/span>empurra o \u00eambolo de um primeiro pist\u00e3o<\/b><\/span><\/span><\/span> que, por sua vez, <\/b><\/span><\/span>atrav\u00e9s<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

do \u00f3leo do circuito hidr\u00e1ulico<\/b><\/span><\/span><\/span>, <\/b><\/span><\/span>empurra um segundo pist\u00e3o<\/b><\/span><\/span><\/span>. O <\/b><\/span><\/span>segundo pist\u00e3o<\/b><\/span><\/span><\/span> pressiona uma<\/b><\/span><\/span><\/span><\/p>\n

pastilha de freio contra um disco met\u00e1lico preso \u00e0 roda,<\/b><\/span><\/span><\/span> fazendo com que ela diminua sua velocidade angular.<\/b><\/span><\/span><\/span><\/p>\n

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

\"\"<\/p>\n

Considerando o <\/b><\/span><\/span><\/span>di\u00e2metro <\/b><\/span><\/span><\/span>d<\/b><\/i><\/span><\/span><\/span>2<\/b><\/i><\/span><\/span><\/sub><\/span> <\/b><\/i>do segundo pist\u00e3o <\/b><\/span><\/span><\/span>duas vezes maior que o di\u00e2metro <\/b><\/span><\/span><\/span>d<\/b><\/i><\/span><\/span><\/span>1<\/b><\/i><\/span><\/span><\/sub><\/span> <\/b><\/i>do primeiro<\/b><\/span><\/span><\/span>, qual a <\/b><\/span><\/span>raz\u00e3o entre a for\u00e7a aplicada ao pedal de freio<\/b><\/span><\/span><\/span> pelo p\u00e9 do motorista e a <\/b><\/span><\/span><\/span>for\u00e7a aplicada \u00e0 pastilha de freio?<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

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

\"\"<\/p>\n

Qual o <\/b><\/span><\/span><\/span>trabalho <\/b><\/span><\/span><\/span>executado pela <\/b><\/span><\/span><\/span>for\u00e7a de atrito<\/b><\/span><\/span><\/span> entre o pneu e o solo<\/b><\/span><\/span><\/span> para <\/b><\/span><\/span>parar <\/b><\/span><\/span><\/span>um carro de <\/b><\/span><\/span><\/span>massa<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

m <\/b><\/span><\/span>= 1.000 kg, inicialmente a v = 72 km\/h<\/b><\/span><\/span><\/span>, sabendo que os <\/b><\/span><\/span>pneus travam no instante da frenagem<\/b><\/span><\/span><\/span>, <\/b><\/span><\/span>deixando de girar, e o carro <\/b><\/span><\/span><\/span>desliza <\/b><\/span><\/span><\/span>durante todo o tempo de frenagem?<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

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

\"\"<\/p>\n

Por sua <\/b><\/span><\/span>baixa efici\u00eancia energ\u00e9tica<\/b><\/span><\/span><\/span>, as <\/b><\/span><\/span>l\u00e2mpadas incandescentes<\/b><\/span><\/span><\/span> deixar\u00e3o de ser comercializadas<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

para <\/b><\/span><\/span>uso dom\u00e9stico comum<\/b><\/span><\/span><\/span> no Brasil. <\/b><\/span><\/span>Nessas l\u00e2mpadas, <\/b><\/span><\/span><\/span>apenas 5% da energia el\u00e9trica<\/b><\/span><\/span><\/span> consumida \u00e9<\/b><\/span><\/span><\/span> <\/b>convertida em luz vis\u00edvel<\/b><\/span><\/span><\/span>, sendo o <\/b><\/span><\/span>restante <\/b><\/span><\/span><\/span>transformado em<\/b><\/span><\/span><\/span>calor.<\/b><\/span><\/span><\/span> Considerando uma <\/b><\/span><\/span>l\u00e2mpada i<\/b><\/span><\/span><\/span>ncandescente<\/b><\/span><\/span><\/span> que consome <\/b><\/span><\/span><\/span>60 W de pot\u00eancia el\u00e9trica<\/b><\/span><\/span><\/span>, qual a <\/b><\/span><\/span>energia perdida em forma de calor<\/b><\/span><\/span><\/span><\/p>\n

em uma hora de opera\u00e7\u00e3o?<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

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

\"\"<\/p>\n

A <\/b><\/span><\/span>figura 1<\/b><\/span><\/span><\/span> apresentada a seguir <\/b><\/span><\/span>representa a <\/b><\/span><\/span><\/span>pot\u00eancia el\u00e9trica dissipada pelo filamento de tungst\u00eanio<\/b><\/span><\/span><\/span><\/b><\/p>\n

\"\"<\/p>\n

de uma <\/b><\/span><\/span><\/span>l\u00e2mpada incandescente em fun\u00e7\u00e3o da sua resist\u00eancia el\u00e9trica.<\/b><\/span><\/span><\/span> J\u00e1 a <\/b><\/span><\/span>figura 2<\/b><\/span><\/span><\/span> apresenta a <\/b><\/span><\/span>temperatura<\/b><\/span><\/span><\/span> de opera\u00e7\u00e3o do filamento <\/b><\/span><\/span><\/span>em fun\u00e7\u00e3o de sua resist\u00eancia el\u00e9trica<\/b><\/span><\/span><\/span>.<\/b><\/span><\/span><\/span> Se <\/b><\/span><\/span>uma l\u00e2mpada em funcionamento <\/b><\/span><\/span><\/span>dissipa 150 W de pot\u00eancia el\u00e9trica, a temperatura do filamento da l\u00e2mpada <\/b><\/span><\/span><\/span>\u00e9 mais<\/b><\/span><\/span><\/span><\/p>\n

pr\u00f3xima de:<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

a)<\/b><\/span><\/span><\/span> <\/b>325 <\/b><\/span><\/span><\/span>o<\/b><\/span><\/span><\/sup><\/span>C<\/b><\/span><\/span><\/span>. <\/b><\/span><\/span>b) <\/b><\/span><\/span><\/span>1.250 <\/b><\/span><\/span><\/span>o<\/b><\/span><\/span><\/sup><\/span>C.<\/b><\/span><\/span><\/span> <\/b>c)<\/b><\/span><\/span><\/span> <\/b>3.000 <\/b><\/span><\/span><\/span>o<\/b><\/span><\/span><\/sup><\/span>C<\/b><\/span><\/span><\/span>. <\/b><\/span><\/span>d)<\/b><\/span><\/span><\/span> <\/b>3.750 <\/b><\/span><\/span><\/span>o<\/b><\/span><\/span><\/sup><\/span>C.<\/b><\/span><\/span><\/span><\/p>\n

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

\"\"<\/p>\n

Quando as <\/b><\/span><\/span>fontes de tens\u00e3o cont\u00ednua que alimentam os aparelhos el\u00e9tricos e eletr\u00f4nicos s\u00e3o<\/b><\/span><\/span><\/span> <\/b>desligadas<\/b><\/span><\/span><\/span>, elas levam\"\" normalmente <\/b><\/span><\/span>certo tempo para atingir a tens\u00e3o de U = 0 V<\/b><\/span><\/span><\/span>. Um estudante interessado em estudar tal <\/b><\/span><\/span>fen\u00f4meno<\/b><\/span><\/span><\/span> usa um <\/b><\/span><\/span>amper\u00edmetro e um rel\u00f3gio para acompanhar o<\/b><\/span><\/span><\/span> <\/b>decr\u00e9scimo da corrente que circula pelo circuito a seguir em fun\u00e7\u00e3o do tempo<\/b><\/span><\/span><\/span>, ap\u00f3s a fonte ser<\/b><\/span><\/span><\/p>\n

desligada em t = 0 s.<\/b><\/span><\/span><\/span> Usando os valores de <\/b><\/span><\/span>corrente e tempo medidos pelo estudante<\/b><\/span><\/span><\/span>, pode-se dizer que <\/b><\/span><\/span>a diferen\u00e7a de potencial<\/b><\/span><\/span><\/span> sobre o <\/b><\/span><\/span><\/span>resisto<\/b><\/span><\/span><\/span>r R = 0,5 k\u03a9 para t = 400 ms \u00e9 igual a<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

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

\"\"<\/p>\n

Espelhos <\/b><\/span><\/span><\/span>esf\u00e9ricos c\u00f4ncavos<\/b><\/span><\/span><\/span> s\u00e3o comumente utilizados por dentistas porque<\/b><\/span><\/span><\/span>, dependendo da <\/b><\/span><\/span>posi\u00e7\u00e3o relativa entre objeto e imagem<\/b><\/span><\/span><\/span>, eles permitem <\/b><\/span><\/span>visualizar<\/b><\/span><\/span><\/span>detalhes precisos<\/b><\/span><\/span><\/span> dos dentes do<\/b><\/span><\/span><\/span> <\/b>paciente.<\/b><\/span><\/span><\/span> Na <\/b><\/span><\/span>figura abaixo<\/b><\/span><\/span><\/span>, pode-se <\/b><\/span><\/span>observar esquematicamente a imagem formada por um espelho<\/b><\/span><\/span><\/span> <\/b>c\u00f4ncavo<\/b><\/span><\/span><\/span>. Fazendo <\/b><\/span><\/span>uso de raios not\u00e1veis, podemos dizer que a flecha que representa o objeto<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

a)<\/b><\/span><\/span><\/span> <\/b>se encontra entre<\/b><\/span><\/span><\/span> F e V <\/b><\/span><\/span><\/span>e aponta<\/b><\/span><\/span><\/span> na dire\u00e7\u00e3o da imagem.<\/b><\/span><\/span><\/span><\/p>\n

b)<\/b><\/span><\/span><\/span> <\/b>se encontra entre<\/b><\/span><\/span><\/span> F e C <\/b><\/span><\/span><\/span>e aponta<\/b><\/span><\/span><\/span> na dire\u00e7\u00e3o da imagem.<\/b><\/span><\/span><\/span><\/p>\n

c)<\/b><\/span><\/span><\/span> <\/b>se encontra entre <\/b><\/span><\/span><\/span>F e V <\/b><\/span><\/span><\/span>e aponta<\/b><\/span><\/span><\/span> na dire\u00e7\u00e3o oposta \u00e0 imagem.<\/b><\/span><\/span><\/span><\/p>\n

d)<\/b><\/span><\/span><\/span> <\/b>se encontra entre<\/b><\/span><\/span><\/span> F e C <\/b><\/span><\/span><\/span>e aponta<\/b><\/span><\/span><\/span> na dire\u00e7\u00e3o oposta \u00e0 imagem.<\/b><\/span><\/span><\/span><\/p>\n

 <\/p>\n

Confira a resolu\u00e7\u00e3o comentada<\/span><\/a><\/h3>\n

 <\/p>\n

 <\/p>\n

UNICAMP – SEGUNDA FASE<\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

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

\"\"<\/p>\n

A <\/b><\/span><\/span>Ag\u00eancia Espacial Brasileira<\/b><\/span><\/span><\/span> est\u00e1 desenvolvendo um <\/b><\/span><\/span>ve\u00edculo lan\u00e7ador de sat\u00e9lites<\/b><\/span><\/span><\/span> <\/b>(VLS)<\/b><\/span><\/span><\/span> com a<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

finalidade de colocar sat\u00e9lites em \u00f3rbita ao redor da Terra<\/b><\/span><\/span><\/span>. A <\/b><\/span><\/span>ag\u00eancia pretende lan\u00e7ar o VLS <\/b><\/span><\/span><\/span>em 2016, a partir do Centro de Lan\u00e7amento de <\/b><\/span><\/span>Alc\u00e2ntara, no Maranh\u00e3o.<\/b><\/span><\/span><\/span><\/p>\n

a)<\/b><\/span><\/span><\/span> Considere que, <\/b><\/span><\/span>durante um lan\u00e7amento, o <\/b><\/span><\/span><\/span>VLS <\/b><\/span><\/span><\/span>percorre uma <\/b><\/span><\/span><\/span>dist\u00e2ncia de 1200 km em 800 s.<\/b><\/span><\/span><\/span> Qual \u00e9 a <\/b><\/span><\/span>velocidade m\u00e9dia do VLS nesse trecho?<\/b><\/span><\/span><\/span><\/p>\n

b)<\/b><\/span><\/span><\/span> Suponha que no primeiro <\/b><\/span><\/span>est\u00e1gio do lan\u00e7amento o VLS <\/b><\/span><\/span><\/span>suba a partir do repouso<\/b><\/span><\/span><\/span> com <\/b><\/span><\/span><\/span>acelera\u00e7\u00e3o<\/b><\/span><\/span><\/span><\/p>\n

resultante constante de m\u00f3dulo <\/b><\/span><\/span><\/span>a<\/b><\/i><\/span><\/span><\/span>R<\/b><\/i><\/span><\/span><\/sub><\/span> <\/b><\/i>. <\/b><\/span><\/span>Considerando que o <\/b><\/span><\/span><\/span>primeiro est\u00e1gio dura 80 s, e que o VLS<\/b><\/span><\/span><\/span><\/p>\n

percorre uma dist\u00e2ncia de 32 km, calcule <\/b><\/span><\/span><\/span>a<\/b><\/i><\/span><\/span><\/span>R<\/b><\/i><\/span><\/span><\/sub><\/span> <\/b><\/i>.<\/b><\/span><\/span><\/span><\/p>\n

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

\"\"<\/p>\n

Movimento browniano<\/b><\/span><\/span><\/span> \u00e9 o <\/b><\/span><\/span>deslocamento aleat\u00f3rio de <\/b><\/span><\/span><\/span>part\u00edculas microsc\u00f3picas<\/b><\/span><\/span><\/span> suspensas em um fluido, devido \u00e0s <\/b><\/span><\/span><\/span>colis\u00f5es com mol\u00e9culas do fluido em agita\u00e7\u00e3o t\u00e9rmica.<\/b><\/span><\/span><\/span><\/p>\n

a)<\/b><\/span><\/span><\/span> A <\/b><\/span><\/span>figura abaixo<\/b><\/span><\/span><\/span> mostra a <\/b><\/span><\/span>trajet\u00f3ria de uma part\u00edcula<\/b><\/span><\/span><\/span> em movimento browniano em um l\u00edquido<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

ap\u00f3s v\u00e1rias colis\u00f5es<\/b><\/span><\/span><\/span>. Sabendo-se que os <\/b><\/span><\/span>pontos negros<\/b><\/span><\/span><\/span> correspondem a posi\u00e7\u00f5es da part\u00edcula a<\/b><\/span><\/span><\/span> <\/b>cada 30 s,<\/b><\/span><\/span><\/span> qual \u00e9 o <\/b><\/span><\/span>m\u00f3dulo da velocidade m\u00e9dia desta part\u00edcula entre as posi\u00e7\u00f5es A e B?<\/b><\/span><\/span><\/span><\/p>\n

b)<\/b><\/span><\/span><\/span> Em um de seus famosos trabalhos<\/b><\/span><\/span>, Einstein<\/b><\/span><\/span><\/span> prop\u00f4s uma <\/b><\/span><\/span>teoria microsc\u00f3pica<\/b><\/span><\/span><\/span> para explicar o <\/b><\/span><\/span>movimento<\/b><\/span><\/span><\/span> de part\u00edculas sujeitas ao <\/b><\/span><\/span>movimento browniano<\/b><\/span><\/span><\/span>. Segundo <\/b><\/span><\/span>essa teoria,<\/b><\/span><\/span><\/span> o <\/b><\/span><\/span>valor eficaz<\/b><\/span><\/span><\/span> <\/b>do deslocamento de uma part\u00edcula em uma dimens\u00e3o \u00e9 dado por<\/b><\/span><\/span><\/span> <\/b>l = \u221a(2Dt),<\/b><\/span><\/span><\/span> onde <\/b><\/span><\/span>t <\/b><\/span><\/span><\/span>\u00e9 o tempo em segundos<\/b><\/span><\/span><\/span> e <\/b><\/span><\/span>D = kT\/r<\/b><\/span><\/span><\/span> <\/b>\u00e9 o coeficiente de difus\u00e3o de uma part\u00edcula em um determinado fluido<\/b><\/span><\/span><\/span>, em que , <\/b><\/span><\/span>k = 3.10<\/b><\/span><\/span><\/span>-18<\/b><\/span><\/span><\/sup><\/span> m<\/b><\/span><\/span><\/span>3<\/b><\/span><\/span><\/sup><\/span>\/sK<\/b><\/span><\/span><\/span>,<\/b><\/span><\/span> <\/b>T <\/b><\/span><\/span><\/span>\u00e9 a <\/b><\/span><\/span>temperatura absoluta<\/b><\/span><\/span><\/span> e <\/b><\/span><\/span>r <\/b><\/span><\/span><\/span>\u00e9 o <\/b><\/span><\/span>raio da part\u00edcula em suspens\u00e3o.<\/b><\/span><\/span><\/span><\/b>Qual \u00e9 o <\/b><\/span><\/span><\/span>deslocamento eficaz<\/b><\/span><\/span><\/span> de uma <\/b><\/span><\/span><\/span>part\u00edcula de raio r = 3 \u03bcm neste fluido a T = 300 K ap\u00f3s 10 minutos?<\/b><\/span><\/span><\/span><\/b><\/p>\n

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

\"\"<\/p>\n

Jetlev <\/b><\/span><\/span><\/span>\u00e9 um <\/b><\/span><\/span>equipamento de divers\u00e3o movido a \u00e1gua<\/b><\/span><\/span><\/span>. Consiste em um <\/b><\/span><\/span>colete conectado a uma<\/b><\/span><\/span><\/span> <\/b>mangueira <\/b><\/span><\/span><\/span>que, por sua vez, est\u00e1 conectada a uma <\/b><\/span><\/span><\/span>bomba de \u00e1gua que permanece submersa<\/b><\/span><\/span><\/span>. O <\/b><\/span><\/span>aparelho retira \u00e1gua<\/b><\/span><\/span><\/span> do mar e a transforma em <\/b><\/span><\/span><\/span>jatos para a propuls\u00e3o do piloto<\/b><\/span><\/span><\/span>, que pode ser <\/b><\/span><\/span><\/span>elevado a at\u00e9 10 metros de altura<\/b><\/span><\/span><\/span> (ver figura abaixo).<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

a)<\/b><\/span><\/span><\/span> Qual \u00e9 a <\/b><\/span><\/span>energia potencial gravitacional<\/b><\/span><\/span><\/span>, em <\/b><\/span><\/span>rela\u00e7\u00e3o \u00e0 superf\u00edcie da \u00e1gua<\/b><\/span><\/span><\/span>, de um <\/b><\/span><\/span>piloto de 60 kg, quando elevado a 10 metros de altura? g = 10 m\/s<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sup><\/span>.<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

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

\"\"<\/p>\n

Alguns <\/b><\/span><\/span>experimentos muito importantes em f\u00edsica<\/b><\/span><\/span><\/span>, tais como os realizados em <\/b><\/span><\/span>grandes <\/b><\/span><\/span><\/span>aceleradores de part\u00edculas<\/b><\/span><\/span><\/span>, necessitam de um ambiente com uma <\/b><\/span><\/span>atmosfera extremamente rarefeita<\/b><\/span><\/span><\/span>, comumente denominada de <\/b><\/span><\/span>ultra-alto-v\u00e1cuo<\/b><\/span><\/span><\/span>. Em <\/b><\/span><\/span>tais ambientes a press\u00e3o \u00e9 menor ou igual a 10<\/b><\/span><\/span><\/span>-6<\/b><\/span><\/span><\/sup><\/span> Pa.<\/b><\/span><\/span><\/span><\/b><\/p>\n

a)<\/b><\/span><\/span><\/span> Supondo que as <\/b><\/span><\/span>mol\u00e9culas que comp\u00f5em uma atmosfera de ultra-alto-v\u00e1cuo<\/b><\/span><\/span><\/span> est\u00e3o distribu\u00eddas uniformemente no espa\u00e7o e <\/b><\/span><\/span>se comportam como um <\/b><\/span><\/span><\/span>g\u00e1s ideal<\/b><\/span><\/span><\/span>,<\/b><\/span><\/span>qual \u00e9 o n\u00famero de mol\u00e9culas por unidade de volume em uma atmosfera cuja press\u00e3o seja P = 3,2.10<\/b><\/span><\/span><\/span>-8<\/b><\/span><\/span><\/sup><\/span> Pa, \u00e0 <\/b><\/span><\/span><\/span>temperatura <\/b><\/span><\/span><\/span>ambiente T = 300 K? <\/b><\/span><\/span><\/span>Se necess\u00e1rio, use:<\/b><\/span><\/span><\/span><\/b>N\u00famero de Avogrado<\/b><\/span><\/span><\/span> N<\/b><\/span><\/span><\/span>A<\/b><\/span><\/span><\/sub><\/span> = 6.10<\/b><\/span><\/span><\/span>23<\/b><\/span><\/span><\/sup><\/span> e a <\/b><\/span><\/span><\/span>Constante universal dos gases<\/b><\/span><\/span><\/span> <\/b>ideais<\/b><\/span><\/span><\/span> <\/b>R <\/b><\/i><\/span><\/span><\/span>= 8 J\/molK.<\/b><\/span><\/span><\/span><\/p>\n

b)<\/b><\/span><\/span><\/span> Sabe-se que a <\/b><\/span><\/span>press\u00e3o atmosf\u00e9rica diminui com a altitude<\/b><\/span><\/span><\/span>, de tal forma que, a <\/b><\/span><\/span>centenas de<\/b><\/span><\/span><\/span> <\/b>quil\u00f4metros de altitude<\/b><\/span><\/span><\/span>, ela se <\/b><\/span><\/span>aproxima do v\u00e1cuo absoluto<\/b><\/span><\/span><\/span>. Por outro lado, <\/b><\/span><\/span>press\u00f5es acima da encontrada na superf\u00edcie terrestre podem ser atingidas facilmente em uma <\/b><\/span><\/span><\/span>submers\u00e3o aqu\u00e1tica.<\/b><\/span><\/span><\/span> Calcule a <\/b><\/span><\/span>raz\u00e3o entre as press\u00f5es P<\/b><\/span><\/span><\/span>sub<\/b><\/span><\/span><\/sub><\/span> e P<\/b><\/span><\/span><\/span>nave<\/b><\/span><\/span><\/sub><\/span> que devem suportar a <\/b><\/span><\/span><\/span>carca\u00e7a de uma nave espacial<\/b><\/span><\/span><\/span> <\/b>(P<\/b><\/span><\/span><\/span>nave<\/b><\/span><\/span><\/sub><\/span>)<\/b><\/span><\/span><\/span> a centenas de quil\u00f4metros de altitude e a de <\/b><\/span><\/span><\/span>um submarino (P<\/b><\/span><\/span><\/span>sub<\/b><\/span><\/span><\/sub><\/span>) a 100 m de profundidade,<\/b><\/span><\/span><\/span>supondo que o <\/b><\/span><\/span>interior de ambos os ve\u00edculos se encontra \u00e0 press\u00e3o de 1 atm.<\/b><\/span><\/span><\/span> Considere a <\/b><\/span><\/span>densidade da \u00e1gua como \u03c1 = 1000 kg\/m<\/b><\/span><\/span><\/span>3<\/b><\/span><\/span><\/sup><\/span>.<\/b><\/span><\/span><\/span><\/p>\n

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

\"\"<\/p>\n

O <\/b><\/span><\/span>primeiro trecho do monotrilho de S\u00e3o Paulo<\/b><\/span><\/span><\/span>, entre as <\/b><\/span><\/span>esta\u00e7\u00f5es Vila Prudente e Orat\u00f3rio<\/b><\/span><\/span><\/span>, foi<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

inaugurado em agosto de 2014. Uma das <\/b><\/span><\/span>vantagens do trem utilizado em S\u00e3o<\/b><\/span><\/span><\/span> Paulo \u00e9 que <\/b><\/span><\/span>cada carro \u00e9 feito de <\/b><\/span><\/span><\/span>ligas de alum\u00ednio, mais leve que o a\u00e7o<\/b><\/span><\/span><\/span>, o que, ao lado de um <\/b><\/span><\/span><\/span>motor mais eficiente<\/b><\/span><\/span><\/span>, permite<\/b><\/span><\/span><\/span> <\/b>ao trem atingir uma velocidade de oitenta quil\u00f4metros por hora.<\/b><\/span><\/span><\/span><\/p>\n

a)<\/b><\/span><\/span><\/span> A <\/b><\/span><\/span>densidade do a\u00e7o \u00e9 <\/b><\/span><\/span><\/span>\u03c1<\/b><\/i><\/span><\/span><\/span>a\u00e7o<\/b><\/i><\/span><\/span><\/sub><\/span> = <\/b><\/i><\/span><\/span><\/span>7,9 g\/cm<\/b><\/span><\/span><\/span>3<\/b><\/span><\/span><\/sup><\/span> e a do alum\u00ednio \u00e9 <\/b><\/span><\/span><\/span>\u03c1<\/b><\/i><\/span><\/span><\/span>Al<\/b><\/i><\/span><\/span><\/sub><\/span> = 2,7 <\/b><\/i><\/span><\/span><\/span>g\/cm<\/b><\/span><\/span><\/span>3<\/b><\/span><\/span><\/sup><\/span>. Obtenha a <\/b><\/span><\/span>raz\u00e3o (<\/b><\/span><\/span><\/span>W<\/b><\/i><\/span><\/span><\/span>a\u00e7o<\/b><\/i><\/span><\/span><\/sub><\/span>\/<\/b><\/span><\/span><\/span>W<\/b><\/i><\/span><\/span><\/span>Al<\/b><\/i><\/span><\/span><\/sub><\/span>)<\/b><\/span><\/span><\/span><\/p>\n

entre os <\/b><\/span><\/span>trabalhos realizados<\/b><\/span><\/span><\/span> pelas <\/b><\/span><\/span><\/span>for\u00e7as resultantes<\/b><\/span><\/span><\/span> que aceleram <\/b><\/span><\/span><\/span>dois trens de dimens\u00f5es<\/b><\/span><\/span><\/span> <\/b>id\u00eanticas<\/b><\/span><\/span><\/span>, um feito <\/b><\/span><\/span><\/span>de a\u00e7o<\/b><\/span><\/span><\/span> e outro feito de <\/b><\/span><\/span><\/span>alum\u00ednio,<\/b><\/span><\/span><\/span> com a <\/b><\/span><\/span><\/span>mesma acelera\u00e7\u00e3o constante de m\u00f3dulo <\/b><\/span><\/span><\/span>a<\/b><\/i><\/span><\/span><\/span>, por uma mesma dist\u00e2ncia <\/b><\/span><\/span><\/span>l.<\/b><\/i><\/span><\/span><\/span><\/p>\n

b)<\/b><\/span><\/span><\/span> Outra <\/b><\/span><\/span>vantagem do monotrilho de S\u00e3o Paulo<\/b><\/span><\/span><\/span> em rela\u00e7\u00e3o a outros tipos de transporte urbano \u00e9 o <\/b><\/span><\/span>menor n\u00edvel de ru\u00eddo que ele produz<\/b><\/span><\/span><\/span>. Considere que o trem <\/b><\/span><\/span>emite ondas esf\u00e9ricas como uma fonte<\/b><\/span><\/span><\/span> <\/b>pontual<\/b><\/span><\/span><\/span>. Se a <\/b><\/span><\/span>pot\u00eancia sonora<\/b><\/span><\/span><\/span> emitida pelo trem \u00e9 igual a <\/b><\/span><\/span><\/span>P <\/b><\/i><\/span><\/span><\/span>= 1,2 mW,<\/b><\/span><\/span><\/span> qual \u00e9 o <\/b><\/span><\/span><\/span>n\u00edvel sonoro <\/b><\/span><\/span><\/span>S <\/b><\/i><\/span><\/span><\/span>em dB<\/b><\/span><\/span><\/span>, a uma <\/b><\/span><\/span><\/span>dist\u00e2ncia <\/b><\/span><\/span><\/span>R <\/b><\/i><\/span><\/span><\/span>= 10 m do trem?<\/b><\/span><\/span><\/span> O <\/b><\/span><\/span><\/span>n\u00edvel sonoro <\/b><\/span><\/span><\/span>S <\/b><\/i><\/span><\/span><\/span>em dB<\/b><\/span><\/span><\/span> \u00e9 dado pela express\u00e3o <\/b><\/span><\/span><\/span>S = 10 dB log(I\/I<\/b><\/span><\/span><\/span>o<\/b><\/span><\/span><\/sub><\/span>)<\/b><\/span><\/span><\/span>, em que <\/b><\/span><\/span><\/span>I<\/b><\/i><\/span><\/span><\/span> \u00e9 a intensidade da onda sonora e <\/b><\/span><\/span><\/span>I<\/b><\/i><\/span><\/span><\/span>o<\/b><\/i><\/span><\/span><\/sub><\/span> = 10<\/b><\/i><\/span><\/span><\/span>-12<\/b><\/i><\/span><\/span><\/sup><\/span> W\/m<\/b><\/i><\/span><\/span><\/span>2<\/b><\/i><\/span><\/span><\/sup><\/span> <\/b><\/i>\u00e9 a intensidade de refer\u00eancia padr\u00e3o correspondente ao limiar da audi\u00e7\u00e3o do ouvido humano.<\/b><\/span><\/span><\/span><\/p>\n

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

\"\"<\/p>\n

Um <\/b><\/span><\/span>desafio tecnol\u00f3gico<\/b><\/span><\/span><\/span> atual \u00e9 a <\/b><\/span><\/span>produ\u00e7\u00e3o de baterias biocompat\u00edveis e biodegrad\u00e1veis<\/b><\/span><\/span><\/span> que possam ser usadas para <\/b><\/span><\/span>alimentar dispositivos inteligentes com fun\u00e7\u00f5es m\u00e9dicas<\/b><\/span><\/span><\/span>. Um par\u00e2metro importante de uma <\/b><\/span><\/span>bateria biocompat\u00edvel<\/b><\/span><\/span><\/span> \u00e9 sua <\/b><\/span><\/span>capacidade espec\u00edfica <\/b><\/span><\/span><\/span>(<\/b><\/span><\/span><\/span>C<\/b><\/i><\/span><\/span><\/span>),<\/b><\/span><\/span><\/span> definida como a sua <\/b><\/span><\/span>carga <\/b><\/span><\/span><\/span>por unidade massa,<\/b><\/span><\/span><\/span>geralmente dada<\/b><\/span><\/span> em mAh\/g<\/b><\/span><\/span><\/span>. O <\/b><\/span><\/span>gr\u00e1fico abaixo<\/b><\/span><\/span><\/span> mostra de maneira simplificada a<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

diferen\u00e7a de potencial de uma bateria \u00e0 base de melanina em fun\u00e7\u00e3o de <\/b><\/span><\/span><\/span>C<\/b><\/i><\/span><\/span><\/span>.<\/b><\/span><\/span><\/span><\/p>\n

a)<\/b><\/span><\/span><\/span> Para uma <\/b><\/span><\/span>diferen\u00e7a de potencial de <\/b><\/span><\/span><\/span>0,4 V<\/b><\/span><\/span><\/span>, que <\/b><\/span><\/span><\/span>corrente m\u00e9dia<\/b><\/span><\/span><\/span> a bateria de <\/b><\/span><\/span><\/span>massa <\/b><\/span><\/span><\/span>m <\/b><\/i><\/span><\/span><\/span>= 5,0 g<\/b><\/span><\/span><\/span> fornece, supondo que ela se descarregue completamente em um<\/b><\/span><\/span><\/span>tempo <\/b><\/span><\/span><\/span>t <\/b><\/i><\/span><\/span><\/span>= 4 h?<\/b><\/span><\/span><\/span><\/p>\n

b)<\/b><\/span><\/span><\/span> Suponha que uma <\/b><\/span><\/span>bateria preparada com <\/b><\/span><\/span><\/span>C <\/b><\/i><\/span><\/span><\/span>= 10 mAh\/g<\/b><\/span><\/span><\/span> esteja fornecendo uma <\/b><\/span><\/span><\/span>corrente constante<\/b><\/span><\/span><\/span> <\/b>total <\/b><\/span><\/span><\/span>i <\/b><\/i><\/span><\/span><\/span>= 2 mA<\/b><\/span><\/span><\/span> a um dispositivo. Qual \u00e9 a <\/b><\/span><\/span><\/span>pot\u00eancia el\u00e9trica fornecida ao dispositivo nessa situa\u00e7\u00e3o?<\/b><\/span><\/span><\/span><\/p>\n

 <\/p>\n

Confira a resolu\u00e7\u00e3o comentada<\/span><\/a><\/h3>\n","protected":false},"excerpt":{"rendered":"

A\u00a0Unicamp\u00a0\u00e9 uma autarquia, aut\u00f4noma em pol\u00edtica educacional, mas subordinada ao Governo Estadual no que se refere a subs\u00eddios para a sua opera\u00e7\u00e3o. Assim, os recursos financeiros s\u00e3o obtidos principalmente do Governo do Estado de S\u00e3o Paulo e de institui\u00e7\u00f5es nacionais e internacionais de fomento. A\u00a0Cidade Universit\u00e1ria “Zeferino Vaz”\u00a0se localiza no distrito de Bar\u00e3o Geraldo, regi\u00e3o noroeste de Campinas. Fica a<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":5,"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-399","page","type-page","status-publish","hentry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/399","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=399"}],"version-history":[{"count":3,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/399\/revisions"}],"predecessor-version":[{"id":10998,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/399\/revisions\/10998"}],"up":[{"embeddable":true,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/5"}],"wp:attachment":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/media?parent=399"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}