{"id":426,"date":"2015-02-11T02:19:01","date_gmt":"2015-02-11T02:19:01","guid":{"rendered":"http:\/\/fisicaevestibular.com.br\/novo\/?page_id=426"},"modified":"2024-09-02T17:21:01","modified_gmt":"2024-09-02T17:21:01","slug":"exercicios-resolvidos-da-fuvest-2a-fase-2015","status":"publish","type":"page","link":"https:\/\/fisicaevestibular.com.br\/novo\/universidades-2015\/exercicios-resolvidos-da-fuvest-2a-fase-2015\/","title":{"rendered":"Exerc\u00edcios resolvidos da FUVEST 2a Fase – 2015"},"content":{"rendered":"

Segunda fase<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

A\u00a0Universidade de S\u00e3o Paulo\u00a0(USP) \u00e9 uma das tr\u00eas\u00a0universidades p\u00fablicas mantidas pelo governo do\u00a0<\/b><\/span><\/span>estado<\/b><\/span><\/span><\/span><\/a>\u00a0brasileiro\u00a0de\u00a0S\u00e3o Paulo, junto com a\u00a0Universidade Estadual de Campinas\u00a0(Unicamp) e a\u00a0Universidade Estadual Paulista\u00a0(UNESP). \u00c9 a maior\u00a0universidade\u00a0p\u00fablica brasileira, bem como uma das universidades mais prestigiadas do pa\u00eds. \u00a0A USP \u00e9 uma das maiores institui\u00e7\u00f5es de\u00a0<\/b><\/span><\/span>ensino superior<\/b><\/span><\/span><\/span><\/a>\u00a0naAm\u00e9rica Latina, com aproximadamente 88\u00a0000 alunos matriculados. Ela possui doze\u00a0<\/b><\/span><\/span>campi<\/b><\/span><\/span><\/span><\/a>, quatro deles em S\u00e3o Paulo\u00a0(o\u00a0campus\u00a0principal \u00e9 chamado\u00a0Cidade Universit\u00e1ria Armando de Salles Oliveira, com uma \u00e1rea de 7\u00a0443\u00a0770\u00a0<\/b><\/span><\/span>m\u00b2<\/b><\/span><\/span><\/span><\/a>). H\u00e1 campi nas cidades de\u00a0Bauru,\u00a0Lorena,\u00a0Piracicaba,\u00a0Pirassununga,\u00a0Santos,\u00a0Ribeir\u00e3o Preto\u00a0e dois em\u00a0S\u00e3o Carlos. A USP est\u00e1 envolvida no ensino, pesquisa e extens\u00e3o universit\u00e1ria em todas as \u00e1reas do conhecimento.<\/b><\/span><\/span><\/p>\n

Segundo o relat\u00f3rio mundial de 2012 (SIR World Report) da SCImago Institutions Rankings, a USP est\u00e1 classificada na d\u00e9cima primeira posi\u00e7\u00e3o mundial entre as 3\u00a0290 institui\u00e7\u00f5es de ensino e pesquisa internacionais classificadas.\u00a0No ano de 2012, de acordo com o University Ranking by Academic Performance (URAP),\u00a0a USP continua sendo a melhor universidade iberoamericana e est\u00e1 colocada na vig\u00e9sima oitava posi\u00e7\u00e3o no mundo.<\/b><\/span><\/span><\/p>\n

<\/a>A principal forma de ingresso \u00e9 o vestibular da Fuvest<\/b><\/span><\/span><\/p>\n

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

\"\"<\/p>\n

\"\"<\/p>\n

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

\"\"<\/p>\n

O <\/b><\/span><\/span>aquecimento de um forno el\u00e9trico<\/b><\/span><\/span><\/span> \u00e9 baseado na convers\u00e3o de <\/b><\/span><\/span>energia el\u00e9trica em energia t\u00e9rmica<\/b><\/span><\/span><\/span><\/b><\/p>\n

\"\"<\/p>\n

em um resistor<\/b><\/span><\/span><\/span>. A <\/b><\/span><\/span>resist\u00eancia R <\/b><\/span><\/span><\/span>do resistor desse forno, submetido a uma <\/b><\/span><\/span>diferen\u00e7a de potencial V<\/b><\/span><\/span><\/span> <\/b>constante, varia com a sua <\/b><\/span><\/span><\/span>temperatura T<\/b><\/span><\/span><\/span>. Na <\/b><\/span><\/span>figura da p\u00e1gina de respostas<\/b><\/span><\/span><\/span> \u00e9 mostrado o <\/b><\/span><\/span>gr\u00e1fico da<\/b><\/span><\/span><\/span> <\/b>fun\u00e7\u00e3o R(T) = R<\/b><\/span><\/span><\/span>o<\/b><\/span><\/span><\/sub><\/span> + \u03b1(T \u2013 T<\/b><\/span><\/span><\/span>o<\/b><\/span><\/span><\/sub><\/span>),<\/b><\/span><\/span><\/span> sendo <\/b><\/span><\/span>R<\/b><\/span><\/span><\/span>o<\/b><\/span><\/span><\/sub><\/span> <\/b>o valor da resist\u00eancia na temperatura <\/b><\/span><\/span><\/span>T<\/b><\/span><\/span><\/span>o<\/b><\/span><\/span><\/sub><\/span> <\/b>e <\/b><\/span><\/span><\/span>\u03b1<\/b><\/span><\/span><\/span> uma constante.<\/b><\/span><\/span><\/span><\/p>\n

Ao se <\/b><\/span><\/span>ligar o forno, com o <\/b><\/span><\/span><\/span>resistor a 20\u00ba C, a corrente \u00e9 10 A<\/b><\/span><\/span><\/span>. Ao <\/b><\/span><\/span>atingir a <\/b><\/span><\/span><\/span>temperatura T<\/b><\/span><\/span><\/span>M<\/b><\/span><\/span><\/sub><\/span>,<\/b><\/span><\/span><\/span> a <\/b><\/span><\/span><\/span>corrent<\/b><\/span><\/span><\/span>e \u00e9<\/b><\/span><\/span><\/span> <\/b>5 A.<\/b><\/span><\/span><\/span> <\/b>Determine a<\/b><\/span><\/span><\/span><\/p>\n

a)<\/b><\/span><\/span><\/span> <\/b>constante \u03b1<\/b><\/span><\/span><\/span>;<\/b><\/span><\/span><\/p>\n

b)<\/b><\/span><\/span><\/span> <\/b>diferen\u00e7a de potencial V<\/b><\/span><\/span><\/span>;<\/b><\/span><\/span><\/p>\n

c)<\/b><\/span><\/span><\/span> <\/b>temperatura T<\/b><\/span><\/span><\/span>M<\/b><\/span><\/span><\/sub><\/span>;<\/b><\/span><\/span><\/span><\/p>\n

d)<\/b><\/span><\/span><\/span> <\/b>pot\u00eancia P<\/b><\/span><\/span><\/span> dissipada no resistor <\/b><\/span><\/span><\/span>na temperatura T<\/b><\/span><\/span><\/span>M<\/b><\/span><\/span><\/sub><\/span>.<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

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

\"\"<\/p>\n

Um <\/b><\/span><\/span>recipiente<\/b><\/span><\/span><\/span> <\/b>hermeticamente fechado e termicamente isolado<\/b><\/span><\/span><\/span>, com <\/b><\/span><\/span>volume de 750 L<\/b><\/span><\/span><\/span> cont\u00e9m ar <\/b><\/span><\/span>inicialmente \u00e0 press\u00e3o atmosf\u00e9rica de 1 atm e \u00e0 temperatura de 27<\/b><\/span><\/span><\/span>o<\/b><\/span><\/span><\/sup><\/span>C.<\/b><\/span><\/span><\/span> No <\/b><\/span><\/span>interior do recipiente<\/b><\/span><\/span><\/span>, foi<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

colocada uma <\/b><\/span><\/span>pequena vela acesa, de <\/b><\/span><\/span><\/span>2,5 g<\/b><\/span><\/span><\/span>.<\/b><\/span><\/span><\/span> Sabendo<\/b><\/span><\/span>\u2010<\/b><\/span>se que a <\/b><\/span><\/span>massa da vela \u00e9 consumida a uma<\/b><\/span><\/span><\/span> <\/b>taxa de 0,1 g\/min<\/b><\/span><\/span><\/span> e que a <\/b><\/span><\/span>queima da vela<\/b><\/span><\/span><\/span> produz <\/b><\/span><\/span>energia \u00e0 raz\u00e3o de 3,6.10<\/b><\/span><\/span><\/span>4<\/b><\/span><\/span><\/sup><\/span> J\/g,<\/b><\/span><\/span><\/span> <\/b>determine<\/b><\/span><\/span><\/span><\/p>\n

a)<\/b><\/span><\/span><\/span> a <\/b><\/span><\/span>pot\u00eancia W da vela acesa;<\/b><\/span><\/span><\/span><\/p>\n

b)<\/b><\/span><\/span><\/span> a <\/b><\/span><\/span>quantidade de energia E<\/b><\/span><\/span><\/span> produzida pela <\/b><\/span><\/span>queima completa da vela;<\/b><\/span><\/span><\/span><\/p>\n

c)<\/b><\/span><\/span><\/span> o <\/b><\/span><\/span>aumento <\/b><\/span><\/span><\/span>\u0394T <\/b><\/span><\/span><\/span>da temperatura do ar<\/b><\/span><\/span><\/span> no interior do recipiente, <\/b><\/span><\/span>durante a queima da vela;<\/b><\/span><\/span><\/span><\/p>\n

d)<\/b><\/span><\/span><\/span> a <\/b><\/span><\/span>press\u00e3o P<\/b><\/span><\/span><\/span> do ar no interior do recipiente, logo ap\u00f3s a queima da vela.<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

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

\"\"<\/p>\n

O espelho <\/b><\/span><\/span>principal de um dos maiores telesc\u00f3pios refletores do mundo<\/b><\/span><\/span><\/span>, localizado nas Ilhas Can\u00e1rias, tem <\/b><\/span><\/span>10 m de di\u00e2metro e dist\u00e2ncia focal de 15 m<\/b><\/span><\/span><\/span>. Supondo que,<\/b><\/span><\/span>inadvertidamente, o espelho seja apontado <\/b><\/span><\/span><\/span>diretamente para o Sol<\/b><\/span><\/span><\/span>, determine<\/b><\/span><\/span><\/span><\/p>\n

a)<\/b><\/span><\/span><\/span> o <\/b><\/span><\/span>di\u00e2metro D <\/b><\/span><\/span><\/span>da imagem do Sol;<\/b><\/span><\/span><\/span><\/p>\n

b)<\/b><\/span><\/span><\/span> a <\/b><\/span><\/span>densidade S de pot\u00eancia no plano da imagem, em W\/m\u00b2;<\/b><\/span><\/span><\/span><\/p>\n

c)<\/b><\/span><\/span><\/span> a <\/b><\/span><\/span>varia\u00e7\u00e3o \u0394T da temperatura <\/b><\/span><\/span><\/span>de um <\/b><\/span><\/span>disco de alum\u00ednio de massa 0,6 kg<\/b><\/span><\/span><\/span> colocado no <\/b><\/span><\/span>plano da<\/b><\/span><\/span><\/span><\/p>\n

imagem,<\/b><\/span><\/span><\/span> considerando que <\/b><\/span><\/span>ele tenha absorvido toda a energia incidente durante 4 s<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

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

\"\"<\/p>\n

Uma crian\u00e7a <\/b><\/span><\/span>de <\/b><\/span><\/span><\/span>30 kg est\u00e1 em repouso<\/b><\/span><\/span><\/span> no <\/b><\/span><\/span><\/span>topo<\/b><\/span><\/span><\/span> de um escorregador plano de <\/b><\/span><\/span><\/span>2,5 m de altura,<\/b><\/span><\/span><\/span><\/b><\/p>\n

\"\"<\/p>\n

inclinado <\/b><\/span><\/span><\/span>30<\/b><\/span><\/span><\/span>o <\/b><\/span><\/span><\/sup><\/span>em rela\u00e7\u00e3o ao ch\u00e3o horizontal<\/b><\/span><\/span><\/span>. Num certo instante, ela come\u00e7a a <\/b><\/span><\/span>deslizar e percorre todo o escorregador.<\/b><\/span><\/span><\/span><\/p>\n

Determine<\/b><\/span><\/span><\/span><\/p>\n

a)<\/b><\/span><\/span><\/span> a energia <\/b><\/span><\/span>cin\u00e9tica E e o m\u00f3dulo Q da quantidade de movimento<\/b><\/span><\/span><\/span> da crian\u00e7a, <\/b><\/span><\/span>na metade do percurso<\/b><\/span><\/span><\/span>;<\/b><\/span><\/span><\/p>\n

b)<\/b><\/span><\/span><\/span> o <\/b><\/span><\/span>m\u00f3dulo F da for\u00e7a de contato<\/b><\/span><\/span><\/span> <\/b>entre a crian\u00e7a e o escorregador;<\/b><\/span><\/span><\/span><\/p>\n

c)<\/b><\/span><\/span><\/span> o<\/b><\/span><\/span> <\/b>m\u00f3dulo da acelera\u00e7\u00e3o<\/b><\/span><\/span><\/span> da crian\u00e7a.<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

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

\"\"<\/p>\n

A <\/b><\/span><\/span>regi\u00e3o entre duas placas met\u00e1licas, planas e paralelas<\/b><\/span><\/span><\/span> est\u00e1 esquematizada na figura abaixo.<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

As <\/b><\/span><\/span>linhas tracejadas<\/b><\/span><\/span><\/span> representam o <\/b><\/span><\/span>campo el\u00e9trico uniforme<\/b><\/span><\/span><\/span> existente <\/b><\/span><\/span>entre as placas.<\/b><\/span><\/span><\/span> A <\/b><\/span><\/span>dist\u00e2ncia <\/b><\/span><\/span><\/span>entre as placas \u00e9 <\/b><\/span><\/span><\/span>5 mm<\/b><\/span><\/span><\/span> e a <\/b><\/span><\/span><\/span>diferen\u00e7a de potencial<\/b><\/span><\/span><\/span> entre elas \u00e9 <\/b><\/span><\/span><\/span>300 V.<\/b><\/span><\/span><\/span> As <\/b><\/span><\/span>coordenadas dos pontos <\/b><\/span><\/span><\/span>A, B<\/b><\/span><\/span><\/span> e <\/b><\/span><\/span>C <\/b><\/span><\/span><\/span>s\u00e3o <\/b><\/span><\/span>mostradas na figura.<\/b><\/span><\/span><\/span> Determine<\/b><\/span><\/span><\/p>\n

a)<\/b><\/span><\/span><\/span> os <\/b><\/span><\/span>m\u00f3dulos E<\/b><\/span><\/span><\/span>A<\/b><\/span><\/span><\/sub><\/span>, E<\/b><\/span><\/span><\/span>B<\/b><\/span><\/span><\/sub><\/span> e E<\/b><\/span><\/span><\/span>C<\/b><\/span><\/span><\/sub><\/span> <\/b>do <\/b><\/span><\/span>campo el\u00e9trico<\/b><\/span><\/span><\/span> nos pontos <\/b><\/span><\/span>A, B e C, respectivamente;<\/b><\/span><\/span><\/span><\/p>\n

b)<\/b><\/span><\/span><\/span> as <\/b><\/span><\/span>diferen\u00e7as de potencial V<\/b><\/span><\/span><\/span>AB<\/b><\/span><\/span><\/sub><\/span> e V<\/b><\/span><\/span><\/span>BC<\/b><\/span><\/span><\/sub><\/span> entre os <\/b><\/span><\/span>pontos A e B e entre os pontos B e C,<\/b><\/span><\/span><\/span><\/p>\n

respectivamente;<\/b><\/span><\/span><\/span><\/p>\n

c)<\/b><\/span><\/span><\/span> o <\/b><\/span><\/span>trabalho W<\/b><\/span><\/span><\/span> realizado pela <\/b><\/span><\/span><\/span>for\u00e7a el\u00e9trica<\/b><\/span><\/span><\/span> sobre um <\/b><\/span><\/span><\/span>el\u00e9tron<\/b><\/span><\/span><\/span> que se desloca do <\/b><\/span><\/span><\/span>ponto C ao ponto A.<\/b><\/span><\/span><\/span><\/p>\n

 <\/p>\n

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

Segunda fase A\u00a0Universidade de S\u00e3o Paulo\u00a0(USP) \u00e9 uma das tr\u00eas\u00a0universidades p\u00fablicas mantidas pelo governo do\u00a0estado\u00a0brasileiro\u00a0de\u00a0S\u00e3o Paulo, junto com a\u00a0Universidade Estadual de Campinas\u00a0(Unicamp) e a\u00a0Universidade Estadual Paulista\u00a0(UNESP). \u00c9 a maior\u00a0universidade\u00a0p\u00fablica brasileira, bem como uma das universidades mais prestigiadas do pa\u00eds. \u00a0A USP \u00e9 uma das maiores institui\u00e7\u00f5es de\u00a0ensino superior\u00a0naAm\u00e9rica Latina, com aproximadamente 88\u00a0000 alunos matriculados. Ela possui doze\u00a0campi, quatro deles em<\/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-426","page","type-page","status-publish","hentry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/426","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=426"}],"version-history":[{"count":5,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/426\/revisions"}],"predecessor-version":[{"id":433,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/426\/revisions\/433"}],"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=426"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}