{"id":5394,"date":"2020-09-03T02:14:05","date_gmt":"2020-09-03T02:14:05","guid":{"rendered":"http:\/\/fisicaevestibular.com.br\/novo\/?page_id=5394"},"modified":"2024-07-04T03:52:29","modified_gmt":"2024-07-04T03:52:29","slug":"universidade-presbiteriana-mackenzie-sp-2020","status":"publish","type":"page","link":"https:\/\/fisicaevestibular.com.br\/novo\/universidades-2020\/universidade-presbiteriana-mackenzie-sp-2020\/","title":{"rendered":"Universidade Presbiteriana Mackenzie \u2013 SP \u2013 2020"},"content":{"rendered":"

Universidade Presbiteriana Mackenzie<\/b><\/span><\/span><\/span>\u00a0\u2013 SP \u2013 2020<\/b><\/span><\/span><\/span><\/p>\n

Compare essa e outras resolu\u00e7\u00f5es da <\/b><\/span><\/span><\/span>Mackenzie \u2013 SP <\/b><\/span><\/span><\/span>pelo\u00a0<\/b><\/span><\/span><\/span>fisicaevestibular.com.br\u00a0<\/b><\/span><\/span><\/span>com outras e voc\u00ea ver\u00e1 que ela:<\/b><\/span><\/span><\/span><\/p>\n

Tem melhor visual e mais ilustra\u00e7\u00f5es esclarecedoras.<\/b><\/span><\/span><\/span><\/p>\n

Foi feito para alunos que realmente tenham dificuldades nos conceitos de F\u00edsica e Matem\u00e1tica procurando sempre explicar os menores detalhes.<\/b><\/span><\/span><\/span><\/p>\n

N\u00e3o coloca apenas as f\u00f3rmulas procurando sempre mostrar suas proced\u00eancias e utilidades.<\/b><\/span><\/span><\/span><\/p>\n

Sempre que preciso procura explicar por meio de desenhos e ilustra\u00e7\u00f5es.<\/b><\/span><\/span><\/span><\/p>\n

N\u00e3o queima etapas explicando sequ\u00eancia por sequ\u00eancia.<\/b><\/span><\/span><\/span><\/p>\n

A preocupa\u00e7\u00e3o com que o aluno entenda as resolu\u00e7\u00f5es \u00e9 muito grande. O professor se coloca no lugar do aluno.<\/b><\/span><\/span><\/span><\/p>\n

Muitas vezes fornece informa\u00e7\u00f5es al\u00e9m das necess\u00e1rias para as resolu\u00e7\u00f5es, mas \u00fateis nos pr\u00f3ximos Vestibulares.<\/b><\/span><\/span><\/span><\/p>\n

\u00a0E muito, muito mais.<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

Universidade Presbiteriana Mackenzie<\/b><\/span><\/span><\/span>\u00a0\u00e9 uma\u00a0institui\u00e7\u00e3o de ensino superior<\/a>\u00a0privada<\/a>,\u00a0filantr\u00f3pica<\/a>\u00a0e\u00a0confessional<\/a>\u00a0do Brasil.<\/b><\/span><\/span><\/span><\/p>\n

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

Atualmente, a Universidade Presbiteriana Mackenzie lidera ranking entre as institui\u00e7\u00f5es n\u00e3o p\u00fablicas do Estado de S\u00e3o Paulo, segundo o RUF 2018 (<\/b><\/span><\/span><\/span>Ranking Universit\u00e1rio Folha<\/b><\/i><\/span><\/span><\/span><\/a>), atingindo a 33\u00aa coloca\u00e7\u00e3o, dentre as 196 avaliadas em \u00e2mbito nacional (p\u00fablicas e n\u00e3o p\u00fablicas).<\/b><\/span><\/span><\/span><\/p>\n

Unidades acad\u00eamicas<\/b><\/span><\/span><\/span><\/p>\n

Escola de Engenharia (EE)<\/b><\/span><\/span><\/span><\/p>\n

Faculdade de Computa\u00e7\u00e3o e Inform\u00e1tica (FCI)<\/b><\/span><\/span><\/span><\/p>\n

Faculdade de Direito (FD)<\/b><\/span><\/span><\/span><\/p>\n

Faculdade de Arquitetura e Urbanismo<\/a>\u00a0(FAU)<\/b><\/span><\/span><\/span><\/p>\n

Centro de Comunica\u00e7\u00e3o e Letras (CCL)<\/b><\/span><\/span><\/span><\/p>\n

Centro de Ci\u00eancias Sociais e Aplicadas (CCSA)<\/b><\/span><\/span><\/span><\/p>\n

Centro de Ci\u00eancias Biol\u00f3gicas e da Sa\u00fade (CCBS)<\/b><\/span><\/span><\/span><\/p>\n

Centro de Educa\u00e7\u00e3o, Filosofia e Teologia (CEFT)<\/b><\/span><\/span><\/span><\/p>\n

01-(MACKENZIE \u2013 SP \u2013 2020)<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

Um <\/b><\/span><\/span>vestibulando da UPM \u2013 Universidade Presbiteriana Mackenzie encontra o seu pai, um engenheiro, escrevendo no sistema <\/b><\/span><\/span>MLT <\/b><\/span><\/span>a express\u00e3o dimensional da grandeza f\u00edsica <\/b><\/span><\/span>A<\/b><\/span><\/span>. <\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

Ele \u00e9 ent\u00e3o informado que, na express\u00e3o abaixo descrita, a grandeza <\/b><\/span><\/span>B <\/b><\/span><\/span>\u00e9 <\/b><\/span><\/span>inversamente <\/b><\/span><\/span>proporcional \u00e0 raiz quadrada do comprimento <\/b><\/span><\/span>L<\/b><\/span><\/span>, \u00e0 massa <\/b><\/span><\/span>M <\/b><\/span><\/span>e ao quadrado do tempo <\/b><\/span><\/span>T<\/b><\/span><\/span>.<\/b><\/span><\/span> <\/b><\/span><\/span><\/span><\/p>\n

Sabe ainda que a constante <\/b><\/span><\/span>k <\/b><\/span><\/span>\u00e9 adimensional, <\/b><\/span><\/span>C <\/b><\/span><\/span>\u00e9 acelera\u00e7\u00e3o angular e <\/b><\/span><\/span>D <\/b><\/span><\/span>\u00e9 o produto entre \u00e2ngulo plano e a acelera\u00e7\u00e3o centr\u00edpeta. <\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

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

Tomando a express\u00e3o como dimensionalmente homog\u00eanea, o vestibulando auxilia corretamente o seu pai e encontra, para os expoentes de <\/b><\/span><\/span>M<\/b><\/span><\/span>, <\/b><\/span><\/span>L <\/b><\/span><\/span>e <\/b><\/span><\/span>T, <\/b><\/span><\/span>respectivamente, <\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

a) <\/b><\/span><\/span>\u2013 3\/2 ; – 5\/4 ; -3 <\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

b) <\/b><\/span><\/span>\u2013 3\/4 ; – 5\/2 ; 3 <\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

c) <\/b><\/span><\/span>\u2013 2\/3 ; – 4\/5 ; -2 <\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

d) <\/b><\/span><\/span>3\/2 ; – 5\/4 ; -2 <\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

e) <\/b><\/span><\/span>\u2013 3\/4 ; 5\/4 ; 2 <\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

02-(MACKENZIE \u2013 SP \u2013 2020)<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

O <\/b><\/span><\/span>modelo de uma locomotiva \u00e9 constru\u00eddo com dimens\u00f5es lineares vinte e cinco vezes menores que<\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

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

as dimens\u00f5es do original e de um material cuja massa espec\u00edfica volum\u00e9trica \u00e9 1\/3 da massa espec\u00edfica do material com que ser\u00e1 constru\u00edda a locomotiva. <\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

Admite-se invari\u00e1vel a acelera\u00e7\u00e3o gravitacional local. Sabe-se que a velocidade escalar m\u00e9dia da locomotiva \u00e9 . <\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

Pode-se afirmar corretamente, ent\u00e3o, que a velocidade escalar m\u00e9dia do modelo vale, em km\/h, <\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

a) <\/b><\/span><\/span>4,00 <\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

b) <\/b><\/span><\/span>10,0 <\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

c) <\/b><\/span><\/span>12,5 <\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

d) <\/b><\/span><\/span>20,0 <\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

e) <\/b><\/span><\/span><\/span>25,0<\/b><\/span><\/span><\/span><\/p>\n

03-(MACKENZIE \u2013 SP \u2013 2020)<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

A <\/b><\/span><\/span><\/span>barra da figura acima \u00e9 homog\u00eanea, possui massa m = 30 kg e comprimento L = 4,0 m. <\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

Ela est\u00e1 apoiada sobre o ponto A em um plano horizontal rugoso <\/b><\/span><\/span><\/span>e<\/b><\/span><\/span><\/span> \u00e9 vinculada pelo ponto <\/b><\/span><\/span><\/span>C<\/b><\/span><\/span><\/span>, a um metro de topo da barra, a uma mola de constante el\u00e1stica <\/b><\/span><\/span><\/span>K<\/b><\/span><\/span><\/span>. <\/b><\/span><\/span><\/span><\/p>\n

Sabe-se que o campo gravitacional local tem m\u00f3dulo g = 10 <\/b><\/span><\/span><\/span> e que <\/b><\/span><\/span><\/span>o sistema encontra-se em equil\u00edbrio quando \u04e8 = 45<\/b><\/span><\/span><\/span>\u00ba e a <\/b><\/span><\/span><\/span>mola tem sua extens\u00e3o m\u00e1xima = 0,20 m. <\/b><\/span><\/span><\/span><\/p>\n

Com base nos dados fornecidos, pode-se afirmar que o valor de <\/b><\/span><\/span><\/span>K, <\/b><\/span><\/span><\/span>em kN\/m, \u00e9 <\/b><\/span><\/span><\/span><\/p>\n

a) <\/b><\/span><\/span><\/span>5,0 <\/b><\/span><\/span><\/span><\/p>\n

b) <\/b><\/span><\/span><\/span>4,0 <\/b><\/span><\/span><\/span><\/p>\n

c) <\/b><\/span><\/span><\/span>3,0 <\/b><\/span><\/span><\/span><\/p>\n

d) <\/b><\/span><\/span><\/span>2,0 <\/b><\/span><\/span><\/span><\/p>\n

e) <\/b><\/span><\/span><\/span>1,0 <\/b><\/span><\/span><\/span><\/p>\n

04-(MACKENZIE \u2013 SP \u2013 2020)<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

Para fazer a sua \u201cescova progressiva\u201d, procedimento que j\u00e1 esteve em moda para as pessoas mais vaidosas, J\u00e9ssica est\u00e1 sentada na cadeira do sal\u00e3o, com o rosto a 1,4 m do espelho plano (<\/b><\/span><\/span><\/span>EP<\/b><\/span><\/span><\/span>) e vertical. <\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

A <\/b><\/span><\/span><\/span>sua <\/b><\/span><\/span><\/span>hair design <\/b><\/i><\/span><\/span><\/span>(cabeleireira de sal\u00f5es elitizados)<\/b><\/span><\/span><\/span> est\u00e1 posicionada a 60 cm mais distante do espelho que a sua cliente. <\/b><\/span><\/span><\/span><\/p>\n

Ent\u00e3o \u00e9 poss\u00edvel afirmar corretamente que a dist\u00e2ncia entre a imagem da <\/b><\/span><\/span><\/span>hair design <\/b><\/i><\/span><\/span><\/span>fornecida pelo espelho plano (<\/b><\/span><\/span><\/span>EP<\/b><\/span><\/span><\/span>) e J\u00e9ssica vale, em cent\u00edmetros, <\/b><\/span><\/span><\/span><\/p>\n

a) <\/b><\/span><\/span><\/span>30 <\/b><\/span><\/span><\/span><\/p>\n

b) <\/b><\/span><\/span><\/span>60 <\/b><\/span><\/span><\/span><\/p>\n

c) <\/b><\/span><\/span><\/span>280 <\/b><\/span><\/span><\/span><\/p>\n

d) <\/b><\/span><\/span><\/span>340 <\/b><\/span><\/span><\/span><\/p>\n

e) <\/b><\/span><\/span><\/span>400<\/b><\/span><\/span><\/span> <\/b><\/p>\n

05-(MACKENZIE \u2013 SP \u2013 2020)<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

A <\/b><\/span><\/span>segunda lei da Termodin\u00e2mica afirma, em sucintas palavras, que n\u00e3o h\u00e1 a possibilidade de converter integralmente calor em trabalho. <\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

Esquematicamente, a figura abaixo revela como funciona uma m\u00e1quina t\u00e9rmica.<\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

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

Considerando-se que o trabalho realizado nessa m\u00e1quina valha 1,2 kJ e que a parte energ\u00e9tica rejeitada para a fonte fria valha dois quintos da recebida da fonte quente, \u00e9 correto afirmar que o rendimento da m\u00e1quina retratada na figura e a parte energ\u00e9tica rejeitada (em kJ) valem, respectivamente, <\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

a) <\/b><\/span><\/span>40% e 1,2 <\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

b) <\/b><\/span><\/span>60% e 0,80 <\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

c) <\/b><\/span><\/span>40% e 1,0 <\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

d) <\/b><\/span><\/span>60% e 1,2 <\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

e) <\/b><\/span><\/span><\/span>40% e 0,60<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

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

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

Ainda que haja eleva\u00e7\u00e3o no custo da energia consumida de uma resid\u00eancia, os seus moradores n\u00e3o abrem m\u00e3o da possibilidade de um banho aquecido agrad\u00e1vel em dias de baixa temperatura.<\/b><\/span><\/span> <\/b><\/span><\/span><\/span><\/p>\n

Assim, <\/b><\/span><\/span>nesse momento de prazer, a chave seletora do chuveiro \u00e9 colocada na posi\u00e7\u00e3o <\/b><\/span><\/span>inverno <\/b><\/span><\/span>conferindo ao chuveiro uma pot\u00eancia de 5.600 W. <\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

06-(MACKENZIE \u2013 SP \u2013 2020)<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

Para um banho de quinze minutos de dura\u00e7\u00e3o, a energia el\u00e9trica consumida, em kWh, vale, <\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

a) <\/b><\/span><\/span>2,3 <\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

b) <\/b><\/span><\/span>3,6 <\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

c) <\/b><\/span><\/span>1,4 <\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

d) <\/b><\/span><\/span>1,2 <\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

e) <\/b><\/span><\/span>1,0 <\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

07-(MACKENZIE \u2013 SP \u2013 2020)<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

Toma-se o mesmo chuveiro do exerc\u00edcio anterior e, em um dia de temperatura m\u00e9dia elevada, a chave seletora \u00e9 passada para a posi\u00e7\u00e3o ver\u00e3o, que leva a pot\u00eancia do chuveiro para 3.200 W. <\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

Se na resid\u00eancia moram quatro pessoas, que tomam um banho di\u00e1rio de quinze minutos, e se R$ <\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

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

0,40 \u00e9 o pre\u00e7o de 1,0 kWh consumido, a parte da conta mensal de luz relativa aos banhos custa em reais (R$) <\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

a) <\/b><\/span><\/span>56,40 <\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

b) <\/b><\/span><\/span>67,20 <\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

c) <\/b><\/span><\/span>42,00 <\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

d) <\/b><\/span><\/span>31,20 <\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

e) <\/b><\/span><\/span><\/span>28,80<\/b><\/span><\/span><\/span><\/p>\n

Resolu\u00e7\u00e3o comentada das quest\u00f5es de F\u00edsica do vestibular da <\/b><\/span><\/span><\/span>Universidade Presbiteriana Mackenzie<\/b><\/span><\/span><\/span>\u00a0\u2013 SP \u2013 2020<\/b><\/span><\/span><\/span><\/p>\n

01-<\/b><\/span><\/span><\/span><\/p>\n

Representa\u00e7\u00e3o de uma grandeza dimensional<\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

Uma\u00a0<\/b><\/span><\/span><\/span>grandeza dimensional\u00a0<\/b><\/span><\/span><\/span>\u00e9\u00a0<\/b><\/span><\/span><\/span>representada por\u00a0<\/b><\/span><\/span><\/span>colchetes<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span>e voc\u00ea\u00a0<\/b><\/span><\/span><\/span>pode expressa-la em fun\u00e7\u00e3o das grandezas fundamentais.<\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

Por exemplo,\u00a0<\/b><\/span><\/span><\/span>uma grandeza f\u00edsica (F),\u00a0<\/b><\/span><\/span><\/span>que\u00a0<\/b><\/span><\/span><\/span>depende da massa, do comprimento e do tempo, tem sua equa\u00e7\u00e3o dimensional escrita da seguinte maneira:<\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

<\/p>\n

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

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

R- A<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

02-<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

R- A<\/b><\/span><\/span><\/span><\/p>\n

03-<\/b><\/span><\/span><\/span><\/p>\n

C\u00e1lculo do peso da barra que est\u00e1 localizado no centro de massa M da mesma, equidistante 2m de A e de C P = m.g<\/b><\/span><\/span><\/span> = 30.10 <\/b><\/span><\/span><\/span>P = 300 N. <\/b><\/span><\/span><\/span><\/p>\n

Colocando todas as for\u00e7as que agem sobre a barra:<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

R- E<\/b><\/span><\/span><\/span><\/p>\n

04-<\/b><\/span><\/span><\/span><\/p>\n

Caracter\u00edsticas da imagem num espelho plano<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

No caso do exerc\u00edcio, veja a figura abaixo.<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

Dist\u00e2ncia da imagem da cabeleireira at\u00e9 J\u00e9ssica d <\/b><\/span><\/span><\/span>= 60 + 140 + 140 <\/b><\/span><\/span><\/span>= 340 cm<\/b><\/span><\/span><\/span><\/p>\n

R- D<\/b><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

05-<\/b><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

Rendimento de uma m\u00e1quina t\u00e9rmica de Carnot<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

R- B<\/b><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

06-<\/b><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

Pot\u00eancia El\u00e9trica (P<\/b><\/span><\/span><\/span>o<\/b><\/span><\/span><\/sub><\/span>)<\/b><\/span><\/span><\/span><\/p>\n

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

<\/p>\n

R- C<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

07-<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

<\/p>\n

R- ?<\/b><\/span><\/span><\/span><\/p>\n

<\/a><\/p>\n

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

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

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