{"id":2022,"date":"2016-03-08T00:23:17","date_gmt":"2016-03-08T00:23:17","guid":{"rendered":"http:\/\/fisicaevestibular.com.br\/novo\/?page_id=2022"},"modified":"2024-09-03T13:48:17","modified_gmt":"2024-09-03T13:48:17","slug":"mackenzie-2016","status":"publish","type":"page","link":"https:\/\/fisicaevestibular.com.br\/novo\/universidades-2016\/mackenzie-2016\/","title":{"rendered":"Mackenzie 2016"},"content":{"rendered":"

\"\"<\/p>\n

A Universidade Presbiteriana Mackenzie\u00a0\u00e9 uma institui\u00e7\u00e3o de\u00a0ensino superior confessional\u00a0brasileira\u00a0sediada na\u00a0cidade\u00a0de\u00a0S\u00e3o Paulo. Possui\u00a0campi\u00a0de gradua\u00e7\u00e3o\u00a0e\u00a0p\u00f3s-gradua\u00e7\u00e3o\u00a0em\u00a0S\u00e3o Paulo\u00a0(Campus\u00a0Higien\u00f3polis,\u00a0Barueri(Campus\u00a0Alphaville),\u00a0Bras\u00edlia,\u00a0Campinas,\u00a0Recife\u00a0e\u00a0Rio de Janeiro, como Faculdade Morais J\u00fanior \u2013 Mackenzie Rio.<\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

A universidade \u00e9 mantida pelo\u00a0Instituto Presbiteriano Mackenzie, uma associa\u00e7\u00e3o civil de direito privado, sem fins lucrativos, de finalidade educacional e filantr\u00f3pica.<\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

O Mackenzie, tradicional Institui\u00e7\u00e3o que em 2012 completou 140 anos de hist\u00f3ria, \u00e9 classificada no RUF como a melhor universidade particular do estado de S\u00e3o Paulo e a 4\u00aa melhor do Brasil. \u00c9 destaque pela alta posi\u00e7\u00e3o nos indicadores de produ\u00e7\u00e3o cient\u00edfica, aceita\u00e7\u00e3o do mercado de trabalho e inova\u00e7\u00e3o, avaliada pela quantidade de pedidos de patentes no INPI. Al\u00e9m dos indicadores do ranking, a Universidade possui nota 4 no \u00cdndice Geral de Cursos (IGC) do Minist\u00e9rio da Educa\u00e7\u00e3o (MEC).<\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

 <\/p>\n

01 \u2013 (Mackenzie-SP-016)<\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Dois <\/b><\/span><\/span><\/span>resistores<\/b><\/span><\/span><\/span>, de resist\u00eancias el\u00e9tricas <\/b><\/span><\/span><\/span>R<\/b><\/span><\/span><\/span>1<\/b><\/span><\/span><\/sub><\/span> e R<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sub><\/span>, s\u00e3o formados por fios met\u00e1licos, de <\/b><\/span><\/span><\/span>mesmo comprimento<\/b><\/span><\/span><\/span> e <\/b><\/span><\/span><\/span>mesmo di\u00e2metro<\/b><\/span><\/span><\/span>, s\u00e3o constitu\u00eddos de materiais cujas <\/b><\/span><\/span><\/span>resistividades s\u00e3o r<\/b><\/span><\/span><\/span>1<\/b><\/span><\/span><\/sub><\/span> e r<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sub><\/span><\/p>\n

respectivamente. Quando esses resistores s\u00e3o <\/b><\/span><\/span><\/span>associados em paralelo <\/b><\/span><\/span><\/span>e submetidos a uma bateria de <\/b><\/span><\/span><\/span>tens\u00e3o el\u00e9trica U<\/b><\/span><\/span><\/span>, a <\/b><\/span><\/span><\/span>corrente<\/b><\/span><\/span><\/span> que passa pelo fio de resist\u00eancia el\u00e9trica <\/b><\/span><\/span><\/span>R<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sub><\/span> \u00e9 o <\/b><\/span><\/span><\/span>dobro <\/b><\/span><\/span><\/span>da que passa por <\/b><\/span><\/span><\/span>R<\/b><\/span><\/span><\/span>1<\/b><\/span><\/span><\/sub><\/span>. Nessas condi\u00e7\u00f5es, a <\/b><\/span><\/span><\/span>rela\u00e7\u00e3o entre as resistividades dos materiais \u00e9<\/b><\/span><\/span><\/span><\/p>\n

a) \"\"<\/b><\/span><\/span><\/span><\/p>\n

b) \"\"<\/b><\/span><\/span><\/span><\/p>\n

c) \"\"<\/b><\/span><\/span><\/span><\/p>\n

d) \"\"<\/b><\/span><\/span><\/span><\/p>\n

e) \"\"<\/b><\/span><\/span><\/span><\/p>\n

02 \u2013 (Mackenzie-SP-016)\"\"<\/b><\/span><\/span><\/span><\/p>\n

Dois corpos eletrizados com cargas el\u00e9tricas <\/b><\/span><\/span><\/span>puntiformes<\/b><\/span><\/span><\/span> <\/b>+Q<\/b><\/span><\/span><\/span> e <\/b><\/span><\/span><\/span>\u2013Q<\/b><\/span><\/span><\/span> s\u00e3o colocados sobre o <\/b><\/span><\/span><\/span>eixo x<\/b><\/span><\/span><\/span> nas posi\u00e7\u00f5es <\/b><\/span><\/span><\/span>+x<\/b><\/span><\/span><\/span> e <\/b><\/span><\/span><\/span>\u2013x<\/b><\/span><\/span><\/span>, respectivamente. Uma <\/b><\/span><\/span><\/span>carga el\u00e9trica<\/b><\/span><\/span><\/span> de prova <\/b><\/span><\/span><\/span>\u2013q<\/b><\/span><\/span><\/span> \u00e9 colocada sobre o <\/b><\/span><\/span><\/span>eixo y<\/b><\/span><\/span><\/span> na posi\u00e7\u00e3o <\/b><\/span><\/span><\/span>+y<\/b><\/span><\/span><\/span>, como mostra a figura acima. A <\/b><\/span><\/span><\/span>for\u00e7a eletrost\u00e1tica resultante <\/b><\/span><\/span><\/span>sobre a carga el\u00e9trica de prova.<\/b><\/span><\/span><\/span>\"\"<\/p>\n

a) tem dire\u00e7\u00e3o horizontal e sentido da esquerda para a direita.<\/b><\/span><\/span><\/span><\/p>\n

b) tem dire\u00e7\u00e3o horizontal e sentido da direita para a esquerda.<\/b><\/span><\/span><\/span><\/p>\n

c) tem dire\u00e7\u00e3o vertical e sentido ascendente.<\/b><\/span><\/span><\/span><\/p>\n

d) tem dire\u00e7\u00e3o vertical e sentido descendente.<\/b><\/span><\/span><\/span><\/p>\n

e) \u00e9 um vetor nulo.<\/b><\/span><\/span><\/span><\/p>\n

03 \u2013 (Mackenzie-SP-016) <\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Uma esteira rolante \u00e9 utilizada para o transporte de pessoas entre dois pisos de um shopping center. A esteira est\u00e1 inclinada de <\/b><\/span><\/span><\/span>30,0\u00ba <\/b><\/span><\/span><\/span>em rela\u00e7\u00e3o \u00e0 horizontal e o desn\u00edvel entre os pisos \u00e9 de <\/b><\/span><\/span><\/span>5,00m<\/b><\/span><\/span><\/span>.<\/b><\/span><\/span><\/span><\/p>\n

\"\"\"\"<\/p>\n

Considerando o <\/b><\/span><\/span><\/span>tempo de percurso <\/b><\/span><\/span><\/span>entre os pisos, desde o in\u00edcio do <\/b><\/span><\/span><\/span>plano inclinado <\/b><\/span><\/span><\/span>at\u00e9 o seu final, de <\/b><\/span><\/span><\/span>10,0 s<\/b><\/span><\/span><\/span>, a <\/b><\/span><\/span><\/span>velocidade escalar m\u00e9dia <\/b><\/span><\/span><\/span>da esteira, em <\/b><\/span><\/span><\/span>km\/h<\/b><\/span><\/span><\/span>, ser\u00e1 <\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

04 \u2013 (Mackenzie-SP-016)<\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Devido \u00e0 crise h\u00eddrica que se instalou na cidade de S\u00e3o Paulo, um estudante, ap\u00f3s a aula de hidrost\u00e1tica, resolveu colocar uma garrafa de <\/b><\/span><\/span><\/span>1,0 litro, cheia de \u00e1gua<\/b><\/span><\/span><\/span>, no interior da <\/b><\/span><\/span><\/span>caixa acoplada de descarga<\/b><\/span><\/span><\/span>. Essa medida gerou uma <\/b><\/span><\/span><\/span>economia de \u00e1gua<\/b><\/span><\/span><\/span> no final de um per\u00edodo. Essa ideia colocada em pr\u00e1tica <\/b><\/span><\/span><\/span>foi baseada no <\/b><\/span><\/span><\/span><\/p>\n

a) Princ\u00edpio de Stevin.<\/b><\/span><\/span><\/span><\/p>\n

b) Princ\u00edpio de Arquimedes. <\/b><\/span><\/span><\/span><\/p>\n

c) Princ\u00edpio de Pascal.<\/b><\/span><\/span><\/span><\/p>\n

d) Princ\u00edpio dos vasos comunicantes.<\/b><\/span><\/span><\/span><\/p>\n

e) Teorema de Bernoulli.<\/b><\/span><\/span><\/span><\/p>\n

 <\/p>\n

05-(Mackenzie \u2013 SP-016)<\/b><\/span><\/span><\/span> <\/b><\/p>\n

\"\"<\/p>\n

Uma part\u00edcula percorre a <\/b><\/span><\/span><\/span>trajet\u00f3ria circular <\/b><\/span><\/span><\/span>de <\/b><\/span><\/span><\/span>centro C <\/b><\/span><\/span><\/span>e <\/b><\/span><\/span><\/span>raio R<\/b><\/span><\/span><\/span>. Os <\/b><\/span><\/span><\/span>vetores velocidade (\"\") e <\/b><\/span><\/span><\/span>\"\"<\/p>\n

acelera\u00e7\u00e3o ( \"\"<\/b><\/span><\/span><\/span>da part\u00edcula no <\/b><\/span><\/span><\/span>instante<\/b><\/span><\/span><\/span> em que ela passa pelo <\/b><\/span><\/span><\/span>ponto P<\/b><\/span><\/span><\/span> da trajet\u00f3ria, est\u00e3o <\/b><\/span><\/span><\/span>representados<\/b><\/span><\/span><\/span> na figura acima. O <\/b><\/span><\/span><\/span>vetor velocidade e o vetor acelera\u00e7\u00e3o <\/b><\/span><\/span><\/span>formam um \u00e2ngulo de <\/b><\/span><\/span><\/span>90\u00ba<\/b><\/span><\/span><\/span>. Se \"\"<\/b><\/span><\/span><\/span> = 10,0 m\/s <\/b><\/span><\/span><\/span>e <\/b><\/span><\/span><\/span>R = 2,00 m<\/b><\/span><\/span><\/span>, o m\u00f3dulo da <\/b><\/span><\/span><\/span>acelera\u00e7\u00e3o (\"\") <\/b><\/span><\/span><\/span>ser\u00e1 igual a<\/b><\/span><\/span><\/span><\/p>\n

a) 4,00 m\/s<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sup><\/span><\/p>\n

b) 5,00 m\/s<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sup><\/span><\/p>\n

c) 20,0 m\/s<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sup><\/span> <\/b><\/p>\n

d) 40,0 m\/s<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sup><\/span> <\/b><\/p>\n

e) 50,0 m\/s<\/b><\/span><\/span><\/span>2<\/b><\/span><\/span><\/sup><\/span><\/p>\n

06 \u2013 (Mackenzie-SP-016) <\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Um objeto extenso de <\/b><\/span><\/span><\/span>altura h<\/b><\/span><\/span><\/span> est\u00e1 fixo, disposto frontalmente diante de uma superf\u00edcie refletora de um <\/b><\/span><\/span><\/span>espelho plano<\/b><\/span><\/span><\/span>, a uma dist\u00e2ncia de <\/b><\/span><\/span><\/span>120,0 cm. Aproximando-se <\/b><\/span><\/span><\/span>o espelho do objeto de uma dist\u00e2ncia de <\/b><\/span><\/span><\/span>20,0 cm<\/b><\/span><\/span><\/span>, a <\/b><\/span><\/span><\/span>imagem conjugada<\/b><\/span><\/span><\/span>, nessa condi\u00e7\u00e3o, encontra-se <\/b><\/span><\/span><\/span>distante do objeto de <\/b><\/span><\/span><\/span><\/p>\n

a) 100,0 cm<\/b><\/span><\/span><\/span><\/p>\n

b) 120,0 cm<\/b><\/span><\/span><\/span><\/p>\n

c) 200,0 cm<\/b><\/span><\/span><\/span><\/p>\n

d) 240,0 cm<\/b><\/span><\/span><\/span><\/p>\n

e) 300,0 cm<\/b><\/span><\/span><\/span><\/p>\n

07 \u2013 (Mackenzie-SP-016)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Uma part\u00edcula de massa m \u00e9 <\/b><\/span><\/span><\/span>lan\u00e7ada<\/b><\/span><\/span><\/span> com uma <\/b><\/span><\/span><\/span>velocidade inicial \"\", vertical e para cima<\/b><\/span><\/span><\/span>. O gr\u00e1fico que melhor representa a <\/b><\/span><\/span><\/span>energia cin\u00e9tica ( \"\" ) <\/b><\/span><\/span><\/span>em fun\u00e7\u00e3o do <\/b><\/span><\/span><\/span>tempo (t)<\/b><\/span><\/span><\/span> \u00e9:<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

 <\/p>\n

08 \u2013 (Mackenzie-SP-016)<\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Um corpo de <\/b><\/span><\/span><\/span>massa m<\/b><\/span><\/span><\/span> est\u00e1 apoiado sobre a <\/b><\/span><\/span><\/span>superf\u00edcie vertical <\/b><\/span><\/span><\/span>de um carro <\/b><\/span><\/span><\/span>de massa M<\/b><\/span><\/span><\/span>, como <\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

mostra a figura abaixo. O coeficiente de <\/b><\/span><\/span><\/span>atrito est\u00e1tico <\/b><\/span><\/span><\/span>entre a superf\u00edcie do carro e a do corpo \u00e9 \"\". Sendo <\/b><\/span><\/span><\/span>g<\/b><\/span><\/span><\/span> o m\u00f3dulo da <\/b><\/span><\/span><\/span>acelera\u00e7\u00e3o da gravidade<\/b><\/span><\/span><\/span>, a <\/b><\/span><\/span><\/span>menor acelera\u00e7\u00e3o (a)<\/b><\/span><\/span><\/span> que o carro deve ter para que o corpo de massa m <\/b><\/span><\/span><\/span>n\u00e3o escorregue <\/b><\/span><\/span><\/span>\u00e9<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

 <\/p>\n

09 \u2013 (Mackenzie-SP-016)<\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Um recipiente de <\/b><\/span><\/span><\/span>capacidade t\u00e9rmica desprez\u00edvel <\/b><\/span><\/span><\/span>cont\u00e9m <\/b><\/span><\/span><\/span>100 g<\/b><\/span><\/span><\/span> de gelo \u00e0 temperatura de <\/b><\/span><\/span><\/span>\u201310,0 \u00baC<\/b><\/span><\/span><\/span>. O conjunto \u00e9 aquecido at\u00e9 a temperatura de <\/b><\/span><\/span><\/span>+10,0 \u00baC <\/b><\/span><\/span><\/span>atrav\u00e9s de uma fonte t\u00e9rmica que fornece calor \u00e0 <\/b><\/span><\/span><\/span>raz\u00e3o constante <\/b><\/span><\/span><\/span>de <\/b><\/span><\/span><\/span>1000 cal\/min<\/b><\/span><\/span><\/span>. <\/b><\/span><\/span><\/span>\"\"<\/p>\n

Dados:calor espec\u00edfico do gelo: c<\/b><\/span><\/span><\/span>g <\/b><\/span><\/span><\/sub><\/span>= 0,5 cal\/g.\u00b0C<\/b><\/span><\/span><\/span><\/p>\n

calor espec\u00edfico da \u00e1gua: c<\/b><\/span><\/span><\/span>a <\/b><\/span><\/span><\/sub><\/span>= 1 cal\/g.\u00b0C<\/b><\/span><\/span><\/span><\/p>\n

calor latente de fus\u00e3o do gelo: L<\/b><\/span><\/span><\/span>f <\/b><\/span><\/span><\/sub><\/span>= 80 cal\/g<\/b><\/span><\/span><\/span><\/p>\n

A <\/b><\/span><\/span><\/span>temperatura<\/b><\/span><\/span><\/span> do conjunto (\u03b8) em <\/b><\/span><\/span><\/span>fun\u00e7\u00e3o do tempo <\/b><\/span><\/span><\/span>(t) de aquecimento \u00e9 <\/b><\/span><\/span><\/span>melhor representado <\/b><\/span><\/span><\/span>por<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

10 \u2013 (Mackenzie-SP-016)<\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Uma <\/b><\/span><\/span><\/span>lente convergente de dist\u00e2ncia focal <\/b><\/span><\/span><\/span>f e <\/b><\/span><\/span><\/span>centro \u00f3ptico O <\/b><\/span><\/span><\/span>conjuga de um <\/b><\/span><\/span><\/span>objeto real<\/b><\/span><\/span><\/span>, uma <\/b><\/span><\/span><\/span>imagem real, invertida <\/b><\/span><\/span><\/span>e <\/b><\/span><\/span><\/span>de mesmo tamanho<\/b><\/span><\/span><\/span>. Esse objeto encontra-se<\/b><\/span><\/span><\/span><\/p>\n

a) entre o centro \u00f3ptico e o foco.<\/b><\/span><\/span><\/span><\/p>\n

b) sobre o foco.<\/b><\/span><\/span><\/span><\/p>\n

c) sobre o ponto anti-principal objeto.<\/b><\/span><\/span><\/span><\/p>\n

d) entre o foco e o ponto anti-principal objeto.<\/b><\/span><\/span><\/span><\/p>\n

e) antes do ponto anti-principal objeto.<\/b><\/span><\/span><\/span><\/p>\n

 <\/p>\n

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

A Universidade Presbiteriana Mackenzie\u00a0\u00e9 uma institui\u00e7\u00e3o de\u00a0ensino superior confessional\u00a0brasileira\u00a0sediada na\u00a0cidade\u00a0de\u00a0S\u00e3o Paulo. Possui\u00a0campi\u00a0de gradua\u00e7\u00e3o\u00a0e\u00a0p\u00f3s-gradua\u00e7\u00e3o\u00a0em\u00a0S\u00e3o Paulo\u00a0(Campus\u00a0Higien\u00f3polis,\u00a0Barueri(Campus\u00a0Alphaville),\u00a0Bras\u00edlia,\u00a0Campinas,\u00a0Recife\u00a0e\u00a0Rio de Janeiro, como Faculdade Morais J\u00fanior \u2013 Mackenzie Rio. A universidade \u00e9 mantida pelo\u00a0Instituto Presbiteriano Mackenzie, uma associa\u00e7\u00e3o civil de direito privado, sem fins lucrativos, de finalidade educacional e filantr\u00f3pica. O Mackenzie, tradicional Institui\u00e7\u00e3o que em 2012 completou 140 anos de hist\u00f3ria, \u00e9 classificada no RUF<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":1419,"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-2022","page","type-page","status-publish","hentry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/2022","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=2022"}],"version-history":[{"count":2,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/2022\/revisions"}],"predecessor-version":[{"id":2026,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/2022\/revisions\/2026"}],"up":[{"embeddable":true,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/1419"}],"wp:attachment":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/media?parent=2022"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}