{"id":3142,"date":"2017-08-19T02:49:53","date_gmt":"2017-08-19T02:49:53","guid":{"rendered":"http:\/\/fisicaevestibular.com.br\/novo\/?page_id=3142"},"modified":"2024-06-29T23:42:16","modified_gmt":"2024-06-29T23:42:16","slug":"cinematica","status":"publish","type":"page","link":"https:\/\/fisicaevestibular.com.br\/novo\/vestibulares-recentes\/mecanica\/cinematica\/","title":{"rendered":"Cinem\u00e1tica"},"content":{"rendered":"

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

CINEM\u00c1TICA<\/b><\/span><\/span><\/span><\/p>\n

(2015, 2016 e 2017)<\/b><\/span><\/span><\/span><\/p>\n

MOVIMENTO UNIFORME<\/b><\/span><\/span><\/span><\/p>\n

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

\"\"<\/p>\n

A tabela mostra a programa\u00e7\u00e3o dos treinos de corrida de um atleta durante uma semana.<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

De acordo com a tabela, nessa semana o atleta\u00a0<\/b><\/span><\/span>percorreu<\/b><\/span><\/span>\u00a0em seus treinos <\/b><\/span><\/span>uma dist\u00e2ncia, em quil\u00f4metros, igual a<\/b><\/span><\/span><\/p>\n

(A) 63,0.<\/b><\/span><\/span><\/p>\n

(B) 56,6.<\/b><\/span><\/span><\/p>\n

(C) 52,0.<\/b><\/span><\/span><\/p>\n

(D) 68,8.<\/b><\/span><\/span><\/p>\n

(E) 72,0.<\/b><\/span><\/span><\/p>\n

02-(FATEC \u2013 SP \u2013 16\/17)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

A denominada Zona Econ\u00f4mica Exclusiva (ZEE), cuja<\/b><\/span><\/span><\/span>\"\"<\/p>\n

responsabilidade de vigil\u00e2ncia e seguran\u00e7a \u00e9 da Marinha Brasileira, estende-se at\u00e9 as\u00a0<\/b><\/span><\/span>200 milhas mar\u00edtimas<\/b><\/span><\/span>.<\/b><\/span><\/span><\/p>\n

Suponha que uma embarca\u00e7\u00e3o suspeita entre irregularmente na ZEE dirigindo-se ao continente. No exato momento em que essa embarca\u00e7\u00e3o passa pelo\u00a0<\/b><\/span><\/span>ponto A<\/b><\/span><\/span>, com\u00a0<\/b><\/span><\/span>uma velocidade constante de 10 n\u00f3s<\/b><\/span><\/span>, uma embarca\u00e7\u00e3o da Marinha Brasileira\u00a0<\/b><\/span><\/span>dirige-se at\u00e9 ela<\/b><\/span><\/span>, com uma\u00a0<\/b><\/span><\/span>velocidade constante de 30 n\u00f3s<\/b><\/span><\/span>, passando pelo\u00a0<\/b><\/span><\/span>ponto B<\/b><\/span><\/span>, localizado sobre a linha de base.<\/b><\/span><\/span><\/p>\n

Considerando que as embarca\u00e7\u00f5es percorrem a<\/b><\/span><\/span>trajet\u00f3ria retil\u00ednea<\/b><\/span><\/span>, que \u00e9 mostrada na figura e desprezando quaisquer tipos de resist\u00eancias, podemos afirmar que o encontro se d\u00e1 em<\/b><\/span><\/span><\/p>\n

(A) 200 minutos.<\/b><\/span><\/span><\/p>\n

(B) 400 minutos.<\/b><\/span><\/span><\/p>\n

(C) 10 horas.<\/b><\/span><\/span><\/p>\n

(D) 5 horas.<\/b><\/span><\/span><\/p>\n

(E) 1 hora.<\/b><\/span><\/span><\/p>\n

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

\"\"<\/p>\n

04-(UNICAMP-SP-017)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

O\u00a0<\/b><\/span><\/span>sem\u00e1foro \u00e9 um dos recursos\u00a0<\/b><\/span><\/span>utilizados para\u00a0<\/b><\/span><\/span>organizar o tr\u00e1fego de ve\u00edculos e de pedestres\u00a0<\/b><\/span><\/span>nas grandes cidades.<\/b><\/span><\/span><\/p>\n

Considere que\u00a0<\/b><\/span><\/span>um carro trafega em um trecho de uma via retil\u00ednea,<\/b><\/span><\/span>\u00a0em que\u00a0<\/b><\/span><\/span>temos 3 sem\u00e1foros.<\/b><\/span><\/span><\/p>\n

O\u00a0<\/b><\/span><\/span>gr\u00e1fico abaixo<\/b><\/span><\/span>\u00a0mostra a\u00a0<\/b><\/span><\/span>velocidade do carro, em fun\u00e7\u00e3o do tempo,\u00a0<\/b><\/span><\/span>ao<\/b><\/span><\/span>passar\u00a0<\/b><\/span><\/span>por\u00a0<\/b><\/span><\/span>esse trecho<\/b><\/span><\/span>\u00a0em<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

que o carro\u00a0<\/b><\/span><\/span>teve que parar nos tr\u00eas sem\u00e1foros.<\/b><\/span><\/span><\/p>\n

A\u00a0<\/b><\/span><\/span>dist\u00e2ncia entre o primeiro e o terceiro sem\u00e1foro<\/b><\/span><\/span>\u00a0\u00e9 de<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

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

\"\"<\/p>\n

Um\u00a0<\/b><\/span><\/span>ve\u00edculo percorre a dist\u00e2ncia entre duas cidades\u00a0<\/b><\/span><\/span>de tal forma que, quando\u00a0<\/b><\/span><\/span>percorre a primeira metade desse trajeto com velocidade constante e igual a 15 m\/s, gasta 2h a mais do que quando o percorre, tamb\u00e9m com velocidade constante e igual a 25 m\/s.<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

A\u00a0<\/b><\/span><\/span>segunda metade\u00a0<\/b><\/span><\/span>desse trajeto \u00e9\u00a0<\/b><\/span><\/span>sempre percorrida com velocidade constante e igual \u00e0 m\u00e9dia aritm\u00e9tica das duas velocidades anteriores.<\/b><\/span><\/span><\/span><\/span><\/p>\n

Nestas condi\u00e7\u00f5es,\u00a0<\/b><\/span><\/span>quando o ve\u00edculo percorrer a primeira metade do trajeto com velocidade constante de 25 m\/s, a velocidade m\u00e9dia, em km\/h, ao longo de todo o trajeto, a dist\u00e2ncia, em km<\/b><\/span><\/span>,\u00a0<\/b><\/span><\/span>entre as cidades e o tempo gasto, em h, na primeira metade do trajeto quando a velocidade vale 15 m\/s valem,\u00a0<\/b><\/span><\/span>respectivamente,<\/b><\/span><\/span><\/span><\/span><\/p>\n

(A)\u00a0<\/b><\/span><\/span>40, 270 e 2,5<\/b><\/span><\/span><\/span><\/span><\/p>\n

(B)\u00a0<\/b><\/span><\/span>40, 270 e 4,5<\/b><\/span><\/span><\/span><\/span><\/p>\n

(C)\u00a0<\/b><\/span><\/span>80, 540 e 5,0<\/b><\/span><\/span><\/span><\/span><\/p>\n

(D)\u00a0<\/b><\/span><\/span>80, 540 e 3,0<\/b><\/span><\/span><\/span><\/span><\/p>\n

 <\/p>\n

06-(EsPCEx- AMAN \u2013 SP- RJ \u2013 2016\/17)<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

\"\"<\/p>\n

 <\/p>\n

07-(UERJ-RJ\/017)<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

\"\"<\/p>\n

 <\/p>\n

08-(PUC-RJ\/017)<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Um\u00a0<\/b><\/span><\/span>carro\u00a0<\/b><\/span><\/span>saiu da\u00a0<\/b><\/span><\/span>posi\u00e7\u00e3o xi\u00a0= 0 km\u00a0<\/b><\/span><\/span>e\u00a0<\/b><\/span><\/span>percorreu uma estrada retil\u00ednea e horizontal\u00a0<\/b><\/span><\/span>at\u00e9\u00a0<\/b><\/span><\/span>xf\u00a0= 10 km.<\/b><\/span><\/span><\/span><\/span><\/p>\n

Entre 0 km e 5 km<\/b><\/span><\/span>, sua\u00a0<\/b><\/span><\/span>velocidade foi 60 km\/h\u00a0<\/b><\/span><\/span>e,\u00a0<\/b><\/span><\/span>entre 5 km e 10 km<\/b><\/span><\/span>, sua <\/b><\/span><\/span>velocidade foi 30 km\/h<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Calcule, em\u00a0<\/b><\/span><\/span>km\/h<\/b><\/span><\/span>, a\u00a0<\/b><\/span><\/span>velocidade m\u00e9dia para percorrer os 10 km totais<\/b><\/span><\/span>.<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

09-(CEDERJ-RJ-2017)<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Dois autom\u00f3veis numa estrada est\u00e3o, inicialmente,\u00a0<\/b><\/span><\/span>separados por uma dist\u00e2ncia de 12 km\u00a0<\/b><\/span><\/span>medida ao longo dessa estrada. Eles come\u00e7am a se <\/b><\/span><\/span>aproximar trafegando em sentido opostos<\/b><\/span><\/span>. O m\u00f3dulo da\u00a0<\/b><\/span><\/span>velocidade de um dos autom\u00f3veis \u00e9 a metade do m\u00f3dulo da velocidade do outro<\/b><\/span><\/span>. Considerando que os dois ve\u00edculos mant\u00eam suas\u00a0<\/b><\/span><\/span>velocidades constantes em m\u00f3dulo<\/b><\/span><\/span>, o\u00a0<\/b><\/span><\/span>espa\u00e7o percorrido pelo autom\u00f3vel mais lento at\u00e9 ele cruzar com o outro autom\u00f3vel ser\u00e1<\/b><\/span><\/span><\/span><\/span><\/p>\n

(A)\u00a02 km<\/b><\/span><\/span><\/span><\/span><\/p>\n

(B)\u00a03 km<\/b><\/span><\/span><\/span><\/span><\/p>\n

(C)\u00a04 km<\/b><\/span><\/span><\/span><\/span><\/p>\n

(D)\u00a06 km<\/b><\/span><\/span><\/span><\/span><\/p>\n

10-<\/b><\/span><\/span><\/span>(FPS-Faculdade Pernambucana de Sa\u00fade-PE-2017)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

\"\"<\/p>\n

11-(UNISINOS-RS-017)<\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Um homem\u00a0<\/b><\/span><\/span>cor\u00adre ao lado de um trem, de 100 m de comprimento,<\/b><\/span><\/span>\u00a0que se move vagarosa\u00admente no mesmo sentido do homem. A\u00a0<\/b><\/span><\/span>velocidade do homem \u00e9 o qu\u00edn\u00adtuplo da velocidade do trem, ambas constan\u00adtes.\u00a0<\/b><\/span><\/span>Em rela\u00e7\u00e3o ao solo,\u00a0<\/b><\/span><\/span>a dist\u00e2ncia percor\u00adrida pelo homem, desde o instante em que est\u00e1 na traseira do trem at\u00e9 o instante em que alcan\u00e7a a dianteira \u00e9,\u00a0<\/b><\/span><\/span>em m, de:<\/b><\/span><\/span><\/span><\/span>\"\"<\/p>\n

a) 100<\/b><\/span><\/span><\/span><\/span><\/p>\n

b) 125<\/b><\/span><\/span><\/span><\/span><\/p>\n

c) 250<\/b><\/span><\/span><\/span><\/span><\/p>\n

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

e) 500<\/b><\/span><\/span><\/span><\/span><\/p>\n

 <\/p>\n

12-<\/b><\/span><\/span>(AFA \u2013 015\/016)<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Dois m\u00f3veis, A e B,<\/b><\/span><\/span>\u00a0<\/b><\/span><\/span>partindo juntos<\/b><\/span><\/span>\u00a0de uma mesma posi\u00e7\u00e3o, por\u00e9m com <\/b><\/span><\/span>velocidades diferentes<\/b><\/span><\/span>, que<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

variam conforme o\u00a0<\/b><\/span><\/span>gr\u00e1fico abaixo<\/b><\/span><\/span>, ir\u00e3o se\u00a0<\/b><\/span><\/span>encontrar novamente em um determinado instante.<\/b><\/span><\/span>\u00a0Considerando que os\u00a0<\/b><\/span><\/span>intervalos de tempo t<\/b><\/span><\/span>1<\/b><\/span><\/sub><\/span>\u00a0\u2013 t<\/b><\/span><\/span>o<\/b><\/span><\/sub><\/span>\u00a0, t<\/b><\/span><\/span>2<\/b><\/span><\/sub><\/span>\u00a0\u2013 t<\/b><\/span><\/span>1<\/b><\/span><\/sub><\/span>\u00a0, t<\/b><\/span><\/span>3<\/b><\/span><\/sub><\/span>\u00a0\u2013 t<\/b><\/span><\/span>2<\/b><\/span><\/sub><\/span>\u00a0, t<\/b><\/span><\/span>4<\/b><\/span><\/sub><\/span>\u00a0\u2013 t<\/b><\/span><\/span>3<\/b><\/span><\/sub><\/span>\u00a0e t<\/b><\/span><\/span>5<\/b><\/span><\/sub><\/span>\u00a0\u2013 t<\/b><\/span><\/span>4<\/b><\/span><\/sub><\/span>\u00a0s\u00e3o todos iguais<\/b><\/span><\/span>, os\u00a0<\/b><\/span><\/span>m\u00f3veis A e B novamente se encontrar\u00e3o no instante<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

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

\"\"<\/p>\n

A\u00a0<\/b><\/span><\/span>figura ilustra o gr\u00e1fico da velocidade, em fun\u00e7\u00e3o do tempo,<\/b><\/span><\/span>\u00a0do movimento de\u00a0<\/b><\/span><\/span>subida do elevador de um hospital,<\/b><\/span><\/span>\u00a0desde sua\u00a0<\/b><\/span><\/span>partida do repouso, no t\u00e9rreo, at\u00e9 sua parada emdeterminado andar.<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

A\u00a0<\/b><\/span><\/span>velocidade m\u00e9dia\u00a0<\/b><\/span><\/span>desse elevador nesse movimento \u00e9,\u00a0<\/b><\/span><\/span>em m\/s,<\/b><\/span><\/span>\u00a0igual a<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

14-(Faculdade Israelita de Ci\u00eancias da Sa\u00fade Albert Einstein \u2013 SP \u2013 016)<\/b><\/span><\/span><\/span><\/p>\n

Jetpack para corredores os far\u00e1 correr 1,6 km em quatro minutos<\/b><\/span><\/span><\/p>\n

Trata-se do 4 Minute Mile (4MM), um acess\u00f3rio capaz de\u00a0<\/b><\/span><\/span>aumentar\u00a0<\/b><\/span><\/span>a velocidade de corrida de uma pessoa que esteja a\u00a0<\/b><\/span><\/span>p\u00e9.<\/b><\/span><\/span><\/p>\n

Foi desenvolvido por estudantes do Arizona StateUniversity.<\/b><\/span><\/span><\/p>\n

Enquanto pesquisava pr\u00f3teses para amputados, a equipe notou que poderia trabalhar no design de um\u00a0<\/b><\/span><\/span>prot\u00f3tipo<\/b><\/span><\/span>\u00a0que ajudasse o\u00a0<\/b><\/span><\/span>ser humano a correr mais r\u00e1pido.<\/b><\/span><\/span><\/p>\n

Como aplicar as for\u00e7as? At\u00e9 mesmo um exoesqueleto foi pensado para gerar a for\u00e7a necess\u00e1ria para aumentar a velocidade, mas o resultado final foi o jetpack.<\/b><\/span><\/span><\/p>\n

Como\u00a0<\/b><\/span><\/span>o pr\u00f3prio nome sugere<\/b><\/span><\/span>, o\u00a0<\/b><\/span><\/span>objetivo final<\/b><\/span><\/span>\u00a0\u00e9 fazer com que seja poss\u00edvel\u00a0<\/b><\/span><\/span>correr uma milha (1,6 km) em quatro minutos.<\/b><\/span><\/span>Os testes tem sido promissores.<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

O\u00a0<\/b><\/span><\/span>tempo gasto<\/b><\/span><\/span>\u00a0por um atleta usando Jetpack em\u00a0<\/b><\/span><\/span>corridas de 200 m foi 3 segundos mais r\u00e1pido<\/b><\/span><\/span>\u00a0que o normal usando o jetpack, mesmo carregando esse peso extra.<\/b><\/span><\/span><\/p>\n

Outra ideia \u00e9 usar o jetpack (que precisa ser acompanhado de um capacete e pode ser \u201cvestido nas costas) em\u00a0<\/b><\/span><\/span>miss\u00f5es militares, como infiltra\u00e7\u00f5es e ofensivas que necessitem de r\u00e1pido<\/b><\/span><\/span>deslocamento. Por enquanto, o projeto ainda n\u00e3o passou da fase de prot\u00f3tipo.<\/b><\/span><\/span><\/p>\n

Com base nas informa\u00e7\u00f5es do texto<\/b><\/span><\/span>,\u00a0<\/b><\/span><\/span>determine a velocidade m\u00e9dia<\/b><\/span><\/span>aproximada, em\u00a0<\/b><\/span><\/span>km\/h<\/b><\/span><\/span>\u00a0de uma pessoa que,\u00a0<\/b><\/span><\/span>usando o Jetpack4MM,<\/b><\/span><\/span>\u00a0tenha<\/b><\/span><\/span>percorrido uma milha dentro do tempo previsto<\/b><\/span><\/span>\u00a0pelos estudantes da Arizona StateUniversity.<\/b><\/span><\/span><\/p>\n

15-<\/b><\/span><\/span>(UNESP-SP)<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Em uma\u00a0<\/b><\/span><\/span>viagem de carro<\/b><\/span><\/span>\u00a0com sua fam\u00edlia, um garoto colocou em pr\u00e1tica o que havia aprendido nas aulas de f\u00edsica. Quando seu pai\u00a0<\/b><\/span><\/span>ultrapassou um caminh\u00e3o em um trecho reto da estrada, ele calculou a velocidade do caminh\u00e3o ultrapassado utilizando um cron\u00f4metro.<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

\"\"<\/p>\n

16-<\/b><\/span><\/span> (UNIFESP-SP-016)<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Dois ve\u00edculos, A e B,<\/b><\/span><\/span>\u00a0partem\u00a0<\/b><\/span><\/span>simultaneamente de uma mesma posi\u00e7\u00e3o<\/b><\/span><\/span>\u00a0e movem-se no\u00a0<\/b><\/span><\/span>mesmo sentido<\/b><\/span><\/span>\u00a0<\/b><\/span><\/span>ao longo de uma\u00a0<\/b><\/span><\/span>rodovia plana e retil\u00ednea durante 120 s<\/b><\/span><\/span>.<\/b><\/span><\/span>\u00a0As <\/b><\/span><\/span>curvas do<\/b><\/span><\/span>\u00a0<\/b><\/span><\/span>gr\u00e1fico\u00a0<\/b><\/span><\/span>representam,\u00a0<\/b><\/span><\/span>nesse intervalo de tempo<\/b><\/span><\/span>, como\u00a0<\/b><\/span><\/span>variam<\/b><\/span><\/span>\u00a0suas\u00a0<\/b><\/span><\/span>velocidades escalares em fun\u00e7\u00e3o do tempo.<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

Calcule:<\/b><\/span><\/span><\/p>\n

a)<\/b><\/span><\/span>\u00a0o\u00a0<\/b><\/span><\/span>m\u00f3dulo das velocidades escalares m\u00e9dias de A e de B, em m\/s, durante os 120 s<\/b><\/span><\/span>.<\/b><\/span><\/span><\/p>\n

b)<\/b><\/span><\/span>\u00a0a\u00a0<\/b><\/span><\/span>dist\u00e2ncia entre os ve\u00edculos, em metros<\/b><\/span><\/span>, no\u00a0<\/b><\/span><\/span>instante t = 60 s.<\/b><\/span><\/span><\/p>\n

MOVIMENTO UNIFORMEMENTE VARIADO<\/b><\/span><\/span><\/span><\/p>\n

01- (ENEM-MEC-016)<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Dois ve\u00edculos<\/b><\/span><\/span>\u00a0que\u00a0<\/b><\/span><\/span>trafegam com velocidade constante<\/b><\/span><\/span>\u00a0em uma\u00a0<\/b><\/span><\/span>estrada,\u00a0<\/b><\/span><\/span>na <\/b><\/span><\/span>mesma dire\u00e7\u00e3o e sentido, devem manter entre si uma dist\u00e2ncia m\u00ednima.<\/b><\/span><\/span><\/span><\/span><\/p>\n

Isso porque<\/b><\/span><\/span>\u00a0o\u00a0<\/b><\/span><\/span>movimento de um ve\u00edculo,<\/b><\/span><\/span>\u00a0at\u00e9 que\u00a0<\/b><\/span><\/span>ele pare totalmente, <\/b><\/span><\/span>ocorre em\u00a0<\/b><\/span><\/span>duas etapas,<\/b><\/span><\/span>\u00a0a\u00a0<\/b><\/span><\/span>partir do momento em que\u00a0<\/b><\/span><\/span>o motorista<\/b><\/span><\/span>\u00a0detecta um\u00a0<\/b><\/span><\/span>problema que exige<\/b><\/span><\/span>\u00a0uma freada brusca.<\/b><\/span><\/span><\/span><\/span><\/p>\n

A primeira etapa \u00e9 associada \u00e0 dist\u00e2ncia<\/b><\/span><\/span>\u00a0que o\u00a0<\/b><\/span><\/span>ve\u00edculo percorre entre o intervalo de tempo da detec\u00e7\u00e3o do problema e o acionamento dos freios.<\/b><\/span><\/span><\/span><\/span><\/p>\n

J\u00e1 a segunda<\/b><\/span><\/span>\u00a0se\u00a0<\/b><\/span><\/span>relaciona<\/b><\/span><\/span>\u00a0com a\u00a0<\/b><\/span><\/span>dist\u00e2ncia que o autom\u00f3vel percorre enquanto os freios agem com desacelera\u00e7\u00e3o constante.<\/b><\/span><\/span><\/span><\/span><\/p>\n

Considerando a situa\u00e7\u00e3o descrita,\u00a0<\/b><\/span><\/span>qual\u00a0<\/b><\/span><\/span>esbo\u00e7o gr\u00e1fico<\/b><\/span><\/span>\u00a0representa a <\/b><\/span><\/span>velocidade do autom\u00f3vel<\/b><\/span><\/span>\u00a0em rela\u00e7\u00e3o \u00e0<\/b><\/span><\/span>\u00a0dist\u00e2ncia percorrida at\u00e9 parar totalmente?<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

02-(FATEC \u2013 SP \u2013 16\/17)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Ao chegar a uma ladeira, um motorista resolve testar os rolamentos do seu carro. Para isso, utiliza uma t\u00e9cnica que n\u00e3o \u00e9 recomendada por especialistas em seguran\u00e7a. Ele deixa o carro descer em ponto morto (ou \u201cbanguela\u201d), isto \u00e9, sem usar quaisquer tipos de freios. Verifica que sua <\/b><\/span><\/span>velocidade inicial \u00e9 de 36 km\/h<\/b><\/span><\/span>, e que no final da descida, depois de <\/b><\/span><\/span>percorridos os 300 m\u00a0<\/b><\/span><\/span>da ladeira, seu carro atinge a\u00a0<\/b><\/span><\/span>velocidade de 72 km\/h<\/b><\/span><\/span>.<\/b><\/span><\/span><\/p>\n

Assinale a alternativa que apresenta a\u00a0<\/b><\/span><\/span>figura que cont\u00e9m os dados descritos, corretamente<\/b><\/span><\/span>, de acordo com a situa\u00e7\u00e3o apresentada.<\/b><\/span><\/span><\/p>\n

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

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

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

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

\"\"<\/p>\n

O\u00a0<\/b><\/span><\/span>gr\u00e1fico hor\u00e1rio da posi\u00e7\u00e3o (S),\u00a0<\/b><\/span><\/span>em\u00a0<\/b><\/span><\/span>fun\u00e7\u00e3o do tempo (t),\u00a0<\/b><\/span><\/span>descreve, <\/b><\/span><\/span>qualitativamente, o deslocamento de um ve\u00edculo sobre uma trajet\u00f3ria.<\/b><\/span><\/span>\"\"<\/p>\n

As curvas, nos trechos A, B e D,\u00a0<\/b><\/span><\/span>s\u00e3o<\/b><\/span><\/span>arcos de par\u00e1bola\u00a0<\/b><\/span><\/span>cujos\u00a0<\/b><\/span><\/span>v\u00e9rtices est\u00e3o presentes no gr\u00e1fico.<\/b><\/span><\/span><\/p>\n

Analisando o gr\u00e1fico<\/b><\/span><\/span>, \u00e9\u00a0<\/b><\/span><\/span>correto\u00a0<\/b><\/span><\/span>concluir que<\/b><\/span><\/span><\/p>\n

(A)\u00a0<\/b><\/span><\/span>a\u00a0<\/b><\/span><\/span>trajet\u00f3ria\u00a0<\/b><\/span><\/span>por onde o ve\u00edculo se move\u00a0<\/b><\/span><\/span>\u00e9 sinuosa nos trechos A, B e D e retil\u00ednea no trecho C.<\/b><\/span><\/span><\/p>\n

(B)\u00a0<\/b><\/span><\/span>a\u00a0<\/b><\/span><\/span>trajet\u00f3ria\u00a0<\/b><\/span><\/span>por onde o ve\u00edculo se move\u00a0<\/b><\/span><\/span>\u00e9 toda retil\u00ednea, mas com lombada em B e valetas em A e D.<\/b><\/span><\/span><\/p>\n

(C)\u00a0<\/b><\/span><\/span>o\u00a0<\/b><\/span><\/span>trecho B\u00a0<\/b><\/span><\/span>\u00e9 percorrido em\u00a0<\/b><\/span><\/span>movimento uniformemente desacelerado e retr\u00f3grado.<\/b><\/span><\/span><\/p>\n

(D) nos trechos A e D,\u00a0<\/b><\/span><\/span>o ve\u00edculo se desloca em\u00a0<\/b><\/span><\/span>movimentos uniformemente acelerados com velocidade inicial nula.<\/b><\/span><\/span><\/p>\n

(E)\u00a0<\/b><\/span><\/span>a\u00a0<\/b><\/span><\/span>velocidade escalar\u00a0<\/b><\/span><\/span>do ve\u00edculo\u00a0<\/b><\/span><\/span>no trecho C \u00e9 constante e n\u00e3o nula<\/b><\/span><\/span>, sendo\u00a0<\/b><\/span><\/span>vari\u00e1vel nos outros trechos.<\/b><\/span><\/span><\/p>\n

 <\/p>\n

04-(Medicina \u2013 USCS-SP-017)<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

O\u00a0<\/b><\/span><\/span>gr\u00e1fico marca<\/b><\/span><\/span>\u00a0a\u00a0<\/b><\/span><\/span>velocidade\u00a0<\/b><\/span><\/span>de um\u00a0<\/b><\/span><\/span>atleta em fun\u00e7\u00e3o do tempo<\/b><\/span><\/span>, contado<\/b><\/span><\/span>do in\u00edcio at\u00e9 o final de uma\u00a0<\/b><\/span><\/span>prova.<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

A partir do gr\u00e1fico,\u00a0<\/b><\/span><\/span>a\u00a0<\/b><\/span><\/span>dist\u00e2ncia percorrida\u00a0<\/b><\/span><\/span>pelo atleta do\u00a0<\/b><\/span><\/span>come\u00e7o ao fim do registro compreende um valor entre<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

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

\"\"<\/p>\n

A posi\u00e7\u00e3o<\/b><\/span><\/span>\u00a0de um objeto, cujas\u00a0<\/b><\/span><\/span>dimens\u00f5es<\/b><\/span><\/span>\u00a0s\u00e3o desprez\u00edveis, em rela\u00e7\u00e3o a um\u00a0<\/b><\/span><\/span>observador<\/b><\/span><\/span>\u00a0inercial, localizado na\u00a0<\/b><\/span><\/span>origem do sistema\u00a0<\/b><\/span><\/span>de coordenadas, \u00e9 dada pela\u00a0<\/b><\/span><\/span>seguinte<\/b><\/span><\/span>\u00a0fun\u00e7\u00e3o: x(t) = -10 + 4t +2t<\/b><\/span><\/span>2<\/b><\/span><\/sup><\/span>, onde x \u00e9\u00a0<\/b><\/span><\/span>medido<\/b><\/span><\/span>\u00a0em metros e t em\u00a0<\/b><\/span><\/span>segundos<\/b><\/span><\/span>.<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Sobre o\u00a0<\/b><\/span><\/span>movimento<\/b><\/span><\/span>\u00a0desse objeto, \u00e9 TOTALMENTE\u00a0<\/b><\/span><\/span>CORRETO<\/b><\/span><\/span>\u00a0afirmar:<\/b><\/span><\/span><\/span><\/span><\/p>\n

a) A\u00a0<\/b><\/span><\/span>trajet\u00f3ria do movimento<\/b><\/span><\/span>\u00a0\u00e9 uma par\u00e1bola no intervalo de t > 0,\u00a0<\/b><\/span><\/span>como mostra\u00a0<\/b><\/span><\/span>a figura abaixo.<\/b><\/span><\/span><\/span><\/span><\/p>\n

b) Quando o\u00a0<\/b><\/span><\/span>cron\u00f4metro<\/b><\/span><\/span>\u00a0do observador\u00a0<\/b><\/span><\/span>foi acionado\u00a0<\/b><\/span><\/span>(t = 0s), o objeto estava a 4 m de\u00a0<\/b><\/span><\/span>dist\u00e2ncia<\/b><\/span><\/span>\u00a0do observador.<\/b><\/span><\/span><\/span><\/span><\/p>\n

c)\u00a0<\/b><\/span><\/span>O movimento\u00a0<\/b><\/span><\/span>\u00e9 do tipo\u00a0<\/b><\/span><\/span>MRUV<\/b><\/span><\/span>, ou seja, movimento\u00a0<\/b><\/span><\/span>retil\u00edneo <\/b><\/span><\/span>uniformemente\u00a0<\/b><\/span><\/span>variado<\/b><\/span><\/span>.<\/b><\/span><\/span><\/span><\/span><\/p>\n

d) Quando o\u00a0<\/b><\/span><\/span>cron\u00f4metro<\/b><\/span><\/span>\u00a0do observador foi\u00a0<\/b><\/span><\/span>acionado<\/b><\/span><\/span>\u00a0(t = 0s), o objeto estava com uma\u00a0<\/b><\/span><\/span>velocidade\u00a0<\/b><\/span><\/span>de m\u00f3dulo 2 m\/s.<\/b><\/span><\/span><\/span><\/span><\/p>\n

e) Quando o cron\u00f4metro do\u00a0<\/b><\/span><\/span>observador\u00a0<\/b><\/span><\/span>indicou dois segundos (t = 2s), o <\/b><\/span><\/span>objeto estava\u00a0<\/b><\/span><\/span>a uma\u00a0<\/b><\/span><\/span>dist\u00e2ncia<\/b><\/span><\/span>\u00a0de 20 m do observador.<\/b><\/span><\/span><\/span><\/span><\/p>\n

 <\/p>\n

06-(UFLA \u2013 MG \u2013 PAS \u2013 017\/019)<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Em um\u00a0<\/b><\/span><\/span>Movimento Retil\u00edneo Uniformemente Variado MRUV<\/b><\/span><\/span>\u00a0de um objeto com\u00a0<\/b><\/span><\/span>velocidade inicial nula,<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

a\u00a0<\/b><\/span><\/span>equa\u00e7\u00e3o CORRETA para calcular a velocidade no tempo t<\/b><\/span><\/span>\u00a0\u00e9:<\/b><\/span><\/span><\/span><\/span><\/p>\n

(A) v = a t<\/b><\/span><\/span>; em que\u00a0<\/b><\/span><\/span>a<\/b><\/span><\/span>\u00a0\u00e9 a\u00a0<\/b><\/span><\/span>acelera\u00e7\u00e3o<\/b><\/span><\/span>\u00a0aplicada no intervalo de tempo t.<\/b><\/span><\/span><\/span><\/span><\/p>\n

(B) v = a\/t<\/b><\/span><\/span>; em que\u00a0<\/b><\/span><\/span>a<\/b><\/span><\/span>\u00a0\u00e9 a\u00a0<\/b><\/span><\/span>acelera\u00e7\u00e3o\u00a0<\/b><\/span><\/span>aplicada no intervalo de tempo t.<\/b><\/span><\/span><\/span><\/span><\/p>\n

(C) v = Da\/t<\/b><\/span><\/span>; em que\u00a0<\/b><\/span><\/span>a<\/b><\/span><\/span>\u00a0\u00e9 a\u00a0<\/b><\/span><\/span>acelera\u00e7\u00e3o<\/b><\/span><\/span>\u00a0aplicada no intervalo de tempo t.<\/b><\/span><\/span><\/span><\/span><\/p>\n

(D) v = D\/t;\u00a0<\/b><\/span><\/span>em que\u00a0<\/b><\/span><\/span>D<\/b><\/span><\/span>\u00a0\u00e9 a\u00a0<\/b><\/span><\/span>dist\u00e2ncia percorrida\u00a0<\/b><\/span><\/span>no intervalo de tempo t.<\/b><\/span><\/span><\/span><\/span><\/p>\n

07-(UEM-PR-017)<\/b><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Seja\u00a0<\/b><\/span><\/span>S(t)\u00a0<\/b><\/span><\/span>\uf03d<\/b><\/span><\/span><\/span>\u00a0at<\/b><\/span><\/span>2<\/b><\/span><\/sup><\/span>\u00a0<\/b><\/span>\uf02b<\/b><\/span><\/span><\/span>\u00a0bt\u00a0<\/b><\/span><\/span>\uf02b<\/b><\/span><\/span><\/span>\u00a0c\u00a0<\/b><\/span><\/span>a\u00a0<\/b><\/span><\/span>fun\u00e7\u00e3o hor\u00e1ria do movimento de uma part\u00edcula, <\/b><\/span><\/span>em que a\u00a0<\/b><\/span><\/span>posi\u00e7\u00e3o S(t)\u00a0<\/b><\/span><\/span>da\u00a0<\/b><\/span><\/span>part\u00edcula \u00e9 dada em metros,\u00a0<\/b><\/span><\/span>o\u00a0<\/b><\/span><\/span>tempo t \u00e9 dado em segundos,<\/b><\/span><\/span>\u00a0e\u00a0<\/b><\/span><\/span>a , b e c s\u00e3o constantes.<\/b><\/span><\/span><\/span><\/span><\/p>\n

Assinale\u00a0<\/b><\/span><\/span>o que for\u00a0<\/b><\/span><\/span>correto.<\/b><\/span><\/span><\/span><\/span><\/p>\n

01)\u00a0<\/b><\/span><\/span>Se\u00a0<\/b><\/span><\/span>a\u00a0<\/b><\/span><\/span>\uf03d<\/b><\/span><\/span><\/span>\u00a00 , b\u00a0<\/b><\/span><\/span>\uf03d\uf02d<\/b><\/span><\/span><\/span>1 e c\u00a0<\/b><\/span><\/span>\uf03d<\/b><\/span><\/span><\/span>15\u00a0<\/b><\/span><\/span>, ent\u00e3o o\u00a0<\/b><\/span><\/span>movimento da part\u00edcula \u00e9 um movimento progressivo.<\/b><\/span><\/span><\/span><\/span><\/p>\n

02)\u00a0<\/b><\/span><\/span>Se\u00a0<\/b><\/span><\/span>a\u00a0<\/b><\/span><\/span>\uf0b9<\/b><\/span><\/span><\/span>\u00a00 , b\u00a0<\/b><\/span><\/span>\uf0b9<\/b><\/span><\/span><\/span>\u00a00 e c\u00a0<\/b><\/span><\/span>\uf03e<\/b><\/span><\/span><\/span>\u00a00\u00a0<\/b><\/span><\/span>, ent\u00e3o\u00a0<\/b><\/span><\/span>S<\/b><\/span><\/span>\u00a0\u00e9 uma\u00a0<\/b><\/span><\/span>fun\u00e7\u00e3o bijetora.<\/b><\/span><\/span><\/span><\/span><\/p>\n

04)\u00a0<\/b><\/span><\/span>Se\u00a0<\/b><\/span><\/span>a\u00a0<\/b><\/span><\/span>\uf03d<\/b><\/span><\/span><\/span>1, b\u00a0<\/b><\/span><\/span>\uf03d<\/b><\/span><\/span><\/span>\u00a02 e c\u00a0<\/b><\/span><\/span>\uf03d<\/b><\/span><\/span><\/span>\u00a03 ,\u00a0<\/b><\/span><\/span>ent\u00e3o a\u00a0<\/b><\/span><\/span>velocidade m\u00e9dia da part\u00edcula<\/b><\/span><\/span>, quando\u00a0<\/b><\/span><\/span>t varia de 1 t\u00a0<\/b><\/span><\/span>\uf03d<\/b><\/span><\/span><\/span>\u00a02 s a 2 t\u00a0<\/b><\/span><\/span>\uf03d<\/b><\/span><\/span><\/span>\u00a06 s,\u00a0<\/b><\/span><\/span>\u00e9 de\u00a0<\/b><\/span><\/span>10 m\/s.<\/b><\/span><\/span><\/span><\/span><\/p>\n

08)\u00a0<\/b><\/span><\/span>Se a\u00a0<\/b><\/span><\/span>part\u00edcula realiza um movimento uniforme,\u00a0<\/b><\/span><\/span>ent\u00e3o podemos concluir que\u00a0<\/b><\/span><\/span>a\u00a0<\/b><\/span><\/span>\uf0b9<\/b><\/span><\/span><\/span>\u00a00 e b\u00a0<\/b><\/span><\/span>\uf03c<\/b><\/span><\/span><\/span>\u00a00 .<\/b><\/span><\/span><\/span><\/span><\/p>\n

16)\u00a0<\/b><\/span><\/span>Se\u00a0<\/b><\/span><\/span>S(0)\u00a0<\/b><\/span><\/span>\uf03d<\/b><\/span><\/span><\/span>\u00a03, S(1)\u00a0<\/b><\/span><\/span>\uf03d<\/b><\/span><\/span><\/span>\u00a05 e S(2)\u00a0<\/b><\/span><\/span>\uf03d<\/b><\/span><\/span><\/span>\u00a07, ent\u00e3o S(t)\u00a0<\/b><\/span><\/span>\uf03d<\/b><\/span><\/span><\/span>\u00a02t\u00a0<\/b><\/span><\/span>\uf02b<\/b><\/span><\/span><\/span>\u00a03.<\/b><\/span><\/span><\/span><\/span><\/p>\n

08-<\/b><\/span><\/span><\/span>(UNICAMP-SP-016)<\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

A demanda por\u00a0<\/b><\/span><\/span>trens de alta velocidade\u00a0<\/b><\/span><\/span>tem crescido em todo o mundo. Uma preocupa\u00e7\u00e3o importante no projeto desses trens \u00e9 o\u00a0<\/b><\/span><\/span>conforto dos passageiros durante a acelera\u00e7\u00e3o.<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

Sendo assim, considere que, em uma\u00a0<\/b><\/span><\/span>viagem de trem de alta velocidade<\/b><\/span><\/span>, a <\/b><\/span><\/span>acelera\u00e7\u00e3o experimentada<\/b><\/span><\/span>\u00a0<\/b><\/span><\/span>pelos passageiros foi limitada a\u00a0<\/b><\/span><\/span>a<\/b><\/i><\/span><\/span>max<\/b><\/i><\/span><\/sub><\/span> <\/b><\/i>= 0,09<\/b><\/span><\/span>g<\/b><\/i><\/span><\/span>, <\/b><\/span><\/span>onde\u00a0<\/b><\/span><\/span>g = 10\u00a0<\/b><\/i><\/span><\/span>m\/s<\/b><\/span><\/span>2<\/b><\/span><\/sup><\/span> <\/b>\u00e9 a\u00a0<\/b><\/span><\/span>acelera\u00e7\u00e3o da gravidade.<\/b><\/span><\/span><\/p>\n

Se o trem acelera a\u00a0<\/b><\/span><\/span>partir do repouso<\/b><\/span><\/span>\u00a0com\u00a0<\/b><\/span><\/span>acelera\u00e7\u00e3o constante igual a<\/b><\/span><\/span>max<\/b><\/i><\/span><\/sub><\/span>,<\/b><\/span><\/span>\u00a0a\u00a0<\/b><\/span><\/span>dist\u00e2ncia<\/b><\/span><\/span><\/p>\n

m\u00ednima<\/b><\/span><\/span>\u00a0<\/b><\/span><\/span>percorrida pelo trem para atingir uma velocidade de 1080 km\/h <\/b><\/span><\/span>corresponde a<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

MOVIMENTOS VERTICAIS<\/b><\/span><\/span><\/span><\/p>\n

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

\"\"<\/p>\n

\"\"<\/p>\n

O\u00a0<\/b><\/span><\/span>gr\u00e1fico<\/b><\/span><\/span>\u00a0que\u00a0<\/b><\/span><\/span>melhor representa, em fun\u00e7\u00e3o do tempo t, o m\u00f3dulo da velocidade v<\/b><\/span><\/span>\u00a0desse parafuso em\u00a0<\/b><\/span><\/span>rela\u00e7\u00e3o ao ch\u00e3o do elevador<\/b><\/span><\/span>\u00a0\u00e9<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

\"\"<\/p>\n

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

Uma\u00a0<\/b><\/span><\/span>bola rola sobre uma bancada horizontal\u00a0<\/b><\/span><\/span>e a\u00a0<\/b><\/span><\/span>abandona,\u00a0<\/b><\/span><\/span>com <\/b><\/span><\/span>velocidade V<\/b><\/span><\/span>o<\/b><\/span><\/sub><\/span>, caindo at\u00e9 o ch\u00e3o.<\/b><\/span><\/span>\"\"<\/p>\n

As\u00a0<\/b><\/span><\/span>figuras representam a vis\u00e3o de cima e a vis\u00e3o de frente desse movimento,\u00a0<\/b><\/span><\/span>mostrando a\u00a0<\/b><\/span><\/span>bola em instantes diferentes durante sua queda, at\u00e9 o momento em que ela toca o solo.<\/b><\/span><\/span><\/p>\n

Desprezando a <\/b><\/span><\/span>resist\u00eancia do ar e considerando as informa\u00e7\u00f5es das figuras<\/b><\/span><\/span>, o\u00a0<\/b><\/span><\/span>m\u00f3dulo de V<\/b><\/span><\/span>o<\/b><\/span><\/sub><\/span>\u00a0<\/b><\/span><\/span>\u00e9 igual a<\/b><\/span><\/span><\/p>\n

(A)\u00a0<\/b><\/span><\/span>2,4 m\/s<\/b><\/span><\/span>. (B)\u00a0<\/b><\/span><\/span>0,6 m\/s. \u00a0<\/b><\/span><\/span>(C)\u00a0<\/b><\/span><\/span>1,2 m\/s. <\/b><\/span><\/span>(D)\u00a0<\/b><\/span><\/span>4,8 m\/s.\u00a0 <\/b><\/span><\/span>(E)\u00a0<\/b><\/span><\/span>3,6 m\/s.<\/b><\/span><\/span><\/p>\n

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

\"\"<\/p>\n

A\u00a0<\/b><\/span><\/span>Ag\u00eancia Espacial Brasileira<\/b><\/span><\/span>\u00a0est\u00e1 desenvolvendo um\u00a0<\/b><\/span><\/span>ve\u00edculo lan\u00e7ador de sat\u00e9lites<\/b><\/span><\/span>\u00a0<\/b><\/span><\/span>(V<\/b><\/span><\/span>LS<\/b><\/span><\/sub><\/span>)<\/b><\/span><\/span>\u00a0com a<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

finalidade de colocar sat\u00e9lites em \u00f3rbita ao redor da Terra<\/b><\/span><\/span>. A\u00a0<\/b><\/span><\/span>ag\u00eancia pretende lan\u00e7ar o VLS\u00a0<\/b><\/span><\/span>em 2016, a partir do Centro de Lan\u00e7amento de <\/b><\/span><\/span>Alc\u00e2ntara, no Maranh\u00e3o.<\/b><\/span><\/span><\/p>\n

a)<\/b><\/span><\/span>\u00a0Considere que,\u00a0<\/b><\/span><\/span>durante um lan\u00e7amento, o\u00a0<\/b><\/span><\/span>V<\/b><\/span><\/span>LS<\/b><\/span><\/sub><\/span>\u00a0<\/b><\/span><\/span>percorre uma\u00a0<\/b><\/span><\/span>dist\u00e2ncia de 1200 km em 800 s.<\/b><\/span><\/span>\u00a0Qual \u00e9 a\u00a0<\/b><\/span><\/span>velocidade m\u00e9dia do V<\/b><\/span><\/span>LS<\/b><\/span><\/sub><\/span> nesse trecho?<\/b><\/span><\/span><\/p>\n

b)<\/b><\/span><\/span>\u00a0Suponha que no primeiro\u00a0<\/b><\/span><\/span>est\u00e1gio do lan\u00e7amento o V<\/b><\/span><\/span>LS<\/b><\/span><\/sub><\/span>\u00a0<\/b><\/span><\/span>suba a partir do repouso<\/b><\/span><\/span>\u00a0com\u00a0<\/b><\/span><\/span>acelera\u00e7\u00e3o<\/b><\/span><\/span><\/p>\n

resultante constante de m\u00f3dulo\u00a0<\/b><\/span><\/span>a<\/b><\/i><\/span><\/span>R<\/b><\/i><\/span><\/sub><\/span>\u00a0<\/b><\/i><\/span><\/span>.\u00a0<\/b><\/span><\/span>Considerando que o\u00a0<\/b><\/span><\/span>primeiro est\u00e1gio dura 80 s, e que o V<\/b><\/span><\/span>LS<\/b><\/span><\/sub><\/span><\/p>\n

percorre uma dist\u00e2ncia de 32 km, calcule\u00a0<\/b><\/span><\/span>a<\/b><\/i><\/span><\/span>R<\/b><\/i><\/span><\/sub><\/span>\u00a0<\/b><\/i><\/span><\/span>.<\/b><\/span><\/span><\/p>\n

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

\"\"<\/p>\n

Dois corpos A e B de massas m<\/b><\/span><\/span>A<\/b><\/span><\/sub><\/span>\u00a0= 1,0 kg e m<\/b><\/span><\/span>B<\/b><\/span><\/sub><\/span>\u00a0= 1,0.10<\/b><\/span><\/span>3<\/b><\/span><\/sup><\/span>\u00a0kg<\/b><\/span><\/span>, respectivamente,\u00a0<\/b><\/span><\/span>s\u00e3o abandonados de<\/b><\/span><\/span>\u00a0<\/b><\/span><\/span>uma mesma altura h<\/b><\/span><\/span>, no interior de um tubo vertical onde\u00a0<\/b><\/span><\/span>existe o v\u00e1cuo<\/b><\/span><\/span>. Para\u00a0<\/b><\/span><\/span>percorrer a altura h,<\/b><\/span><\/span><\/p>\n

a)<\/b><\/span><\/span>\u00a0<\/b><\/span><\/span>o tempo de queda do corpo A \u00e9 igual que o do corpo B.<\/b><\/span><\/span><\/p>\n

b)<\/b><\/span><\/span>\u00a0<\/b><\/span><\/span>o tempo de queda do corpo A \u00e9 maior que o do corpo B.<\/b><\/span><\/span><\/p>\n

c)<\/b><\/span><\/span>\u00a0<\/b><\/span><\/span>o tempo de queda do corpo A \u00e9 menor que o do corpo B<\/b><\/span><\/span>.<\/b><\/span><\/span><\/p>\n

d)<\/b><\/span><\/span>\u00a0<\/b><\/span><\/span>o tempo de queda depende do volume dos corpos A e B.<\/b><\/span><\/span><\/p>\n

e)<\/b><\/span><\/span>\u00a0<\/b><\/span><\/span>o tempo de queda depende da forma geom\u00e9trica dos corpos A e B.<\/b><\/span><\/span><\/p>\n

05-(COL\u00c9GIO NAVAL-015)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Analise a situa\u00e7\u00e3o a seguir.<\/b><\/span><\/span><\/p>\n

Um\u00a0<\/b><\/span><\/span>jovem<\/b><\/span><\/span>,<\/b><\/span><\/span>\u00a0desejando estimar a\u00a0<\/b><\/span><\/span>altura do terra\u00e7o\u00a0<\/b><\/span><\/span>onde se encontrava,<\/b><\/span><\/span>deixou cair v\u00e1rias esferas\u00a0<\/b><\/span><\/span>de a\u00e7o e, munido de um\u00a0<\/b><\/span><\/span>cron\u00f4metro<\/b><\/span><\/span>, anotou o<\/b><\/span><\/span>tempo de queda de todas<\/b><\/span><\/span>. Ap\u00f3s alguns c\u00e1lculos, elaborou o\u00a0<\/b><\/span><\/span>gr\u00e1fico abaixo com o tempo m\u00e9dio \u201ct\u201d gasto pelas esferas na queda.<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

Considere que, para\u00a0<\/b><\/span><\/span>facilitar os c\u00e1lculos<\/b><\/span><\/span>, o jovem\u00a0<\/b><\/span><\/span>desprezou a resist\u00eancia do ar e adotou g=10m\/s<\/b><\/span><\/span>2<\/b><\/span><\/sup><\/span>.<\/b><\/span><\/span><\/p>\n

Pode-se afirmar que: o\u00a0<\/b><\/span><\/span>valor encontrado para o tempo m\u00e9dio\u00a0<\/b><\/span><\/span>(t)\u00a0<\/b><\/span><\/span>e a altura do terra\u00e7o\u00a0<\/b><\/span><\/span>foram, respectivamente:<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

06-(UEL-PR-015)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Com o avan\u00e7o do\u00a0<\/b><\/span><\/span>conhecimento cient\u00edfico<\/b><\/span><\/span>\u00a0acerca da\u00a0<\/b><\/span><\/span>queda livre dos corpos<\/b><\/span><\/span>, assinale a\u00a0<\/b><\/span><\/span>alternativa<\/b><\/span><\/span><\/p>\n

que indica, corretamente<\/b><\/span><\/span>, o gr\u00e1fico de\u00a0<\/b><\/span><\/span>deslocamento versus tempo que melhor representa esse movimento em regi\u00f5es onde a resist\u00eancia do ar \u00e9 desprez\u00edvel.<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

LAN\u00c7AMENTO OBL\u00cdQUO<\/b><\/span><\/span><\/span><\/p>\n

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

\"\"<\/p>\n

\"\"<\/p>\n

02-(Faculdade de Tecnologia Termomec\u00e2nica \u2013 SP- 017)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Um corpo r\u00edgido, de tamanho desprez\u00edvel, \u00e9 lan\u00e7ado de uma\u00a0<\/b><\/span><\/span>altura de 1,0 metro\u00a0<\/b><\/span><\/span>do solo por meio de uma catapulta, com uma\u00a0<\/b><\/span><\/span>velocidade inicial V<\/b><\/span><\/span>o<\/b><\/span><\/sub><\/span>\u00a0<\/b><\/span><\/span>e formando um\u00a0<\/b><\/span><\/span>\u00e2ngulo \u03b1<\/b><\/span><\/span>\u00a0em rela\u00e7\u00e3o \u00e0 dire\u00e7\u00e3o\u00a0<\/b><\/span><\/span>horizontal.<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

(http:\/\/3.bp.blogspot.com)<\/b><\/span><\/span><\/p>\n

\u00c9 dado que\u00a0<\/b><\/span><\/span>sen 30\u00ba =\u00a0\"\"<\/b><\/span><\/span>\u00a0e\u00a0<\/b><\/span><\/span>cos 30\u00ba =\u00a0\"\"<\/b><\/span><\/span>\/2, a\u00a0<\/b><\/span><\/span>acelera\u00e7\u00e3o<\/b><\/span><\/span>\u00a0da gravidade \u00e9\u00a0<\/b><\/span><\/span>10 m\/s\u00b2\u00a0<\/b><\/span><\/span>e n\u00e3o h\u00e1 resist\u00eancia do ar. Se\u00a0<\/b><\/span><\/span>v<\/b><\/span><\/span>o<\/b><\/span><\/sub><\/span>\u00a0for igual a\u00a0<\/b><\/span><\/span>40 m\/s\u00a0<\/b><\/span><\/span>e\u00a0<\/b><\/span><\/span>\u03b1\u00a0<\/b><\/span><\/span>for igual a\u00a0<\/b><\/span><\/span>30\u00ba<\/b><\/span><\/span>, a\u00a0<\/b><\/span><\/span>altura m\u00e1xima\u00a0<\/b><\/span><\/span>alcan\u00e7ada pelo objeto lan\u00e7ado\u00a0<\/b><\/span><\/span>ser\u00e1<\/b><\/span><\/span><\/p>\n

(A) 10 m.<\/b><\/span><\/span><\/p>\n

(B) 12 m.<\/b><\/span><\/span><\/p>\n

(C) 15 m.<\/b><\/span><\/span><\/p>\n

(D) 18 m.<\/b><\/span><\/span><\/p>\n

(E) 21 m.<\/b><\/span><\/span><\/p>\n

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

\"\"<\/p>\n

Um objeto<\/b><\/span><\/span>, cujas dimens\u00f5es s\u00e3o\u00a0<\/b><\/span><\/span>desprez\u00edveis, \u00e9 lan\u00e7ado a\u00a0<\/b><\/span><\/span>uma velocidade<\/b><\/span><\/span>inicial de m\u00f3dulo v0, formando um \u00e2ngulo de 30\u00ba com a superf\u00edcie da Terra\u00a0<\/b><\/span><\/span>(superf\u00edcie horizontal).<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

Considere essa superf\u00edcie totalmente<\/b><\/span><\/span>\u00a0<\/b><\/span><\/span>plana\u00a0<\/b><\/span><\/span>e<\/b><\/span><\/span>\u00a0despreze\u00a0<\/b><\/span><\/span>quaisquer efeitos de atrito no movimento.\u00a0<\/b><\/span><\/span>A posi\u00e7\u00e3o do objeto,\u00a0<\/b><\/span><\/span>em rela\u00e7\u00e3o a um observador inercial localizado<\/b><\/span><\/span>\u00a0<\/b><\/span><\/span>na origem do\u00a0<\/b><\/span><\/span>sistema de coordenadas<\/b><\/span><\/span>, \u00e9 dada pelas seguintes fun\u00e7\u00f5es:<\/b><\/span><\/span>\u00a0<\/b><\/span><\/span>x(t) = (30 cos300)t e y(t) = (30 sen300) t -5t<\/b><\/span><\/span>2<\/b><\/span><\/sup><\/span>; onde x e y s\u00e3o medidos em metros, e t, em segundos.<\/b><\/span><\/span>\u00a0<\/b><\/span><\/span>Considere: sen30\u00b0 = 0,5; cos30\u00b0 = 0,87 e o<\/b><\/span><\/span>\u00a0m\u00f3dulo da acelera\u00e7\u00e3o\u00a0<\/b><\/span><\/span>gravitacional igual a 10 m\/s<\/b><\/span><\/span>2<\/b><\/span><\/sup><\/span>.<\/b><\/span><\/span><\/p>\n

Sobre<\/b><\/span><\/span>\u00a0o movimento do objeto, \u00e9 TOTALMENTE\u00a0<\/b><\/span><\/span>CORRETO<\/b><\/span><\/span>\u00a0afirmar:<\/b><\/span><\/span><\/p>\n

a) A\u00a0<\/b><\/span><\/span>trajet\u00f3ria<\/b><\/span><\/span>\u00a0do movimento \u00e9 uma linha reta.<\/b><\/span><\/span><\/p>\n

b) O movimento \u00e9\u00a0<\/b><\/span><\/span>do tipo MRU<\/b><\/span><\/span>, ou seja, movimento retil\u00edneo uniforme.<\/b><\/span><\/span><\/p>\n

c) A altura\u00a0<\/b><\/span><\/span>m\u00e1xima<\/b><\/span><\/span>\u00a0atingida pelo objeto, medida\u00a0<\/b><\/span><\/span>em rela\u00e7\u00e3o\u00a0<\/b><\/span><\/span>\u00e0 superf\u00edcie (solo), \u00e9 de 45 m.<\/b><\/span><\/span><\/p>\n

d)\u00a0<\/b><\/span><\/span>O tempo de voo\u00a0<\/b><\/span><\/span>(movimento completo de subida e descida) \u00e9 de 1,5 s.<\/b><\/span><\/span><\/p>\n

e) O objeto\u00a0<\/b><\/span><\/span>atinge\u00a0<\/b><\/span><\/span>o solo, no final do movimento de descida, a uma <\/b><\/span><\/span>dist\u00e2ncia horizontal<\/b><\/span><\/span>\u00a0de 78,3 m em rela\u00e7\u00e3o ao ponto de lan\u00e7amento.<\/b><\/span><\/span><\/p>\n

04-<\/b><\/span><\/span><\/span> (UERJ-RJ-015)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Em uma\u00a0<\/b><\/span><\/span>\u00e1rea\u00a0<\/b><\/span><\/span>onde ocorreu uma cat\u00e1strofe natural, um\u00a0<\/b><\/span><\/span>helic\u00f3ptero em movimento retil\u00edneo<\/b><\/span><\/span>, a uma<\/b><\/span><\/span>\u00a0altura fixa do ch\u00e3o, deixa cair pacotes contendo alimentos. Cada pacote lan\u00e7ado atinge\u00a0<\/b><\/span><\/span>osolo em um\u00a0<\/b><\/span><\/span>ponto exatamente embaixo do helic\u00f3ptero.<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

Desprezando for\u00e7as de atrito e de resist\u00eancia<\/b><\/span><\/span>, pode-se afirmar que as grandezas\u00a0<\/b><\/span><\/span>velocidade e<\/b><\/span><\/span><\/p>\n

Acelera\u00e7\u00e3o \u00a0<\/b><\/span><\/span>dessa aeronave s\u00e3o classificadas, respectivamente, como:<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

05-<\/b><\/span><\/span><\/span> (UFRGS-RS-015)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Em uma regi\u00e3o onde a\u00a0<\/b><\/span><\/span>acelera\u00e7\u00e3o da gravidade tem m\u00f3dulo constante<\/b><\/span><\/span>, um\u00a0<\/b><\/span><\/span>proj\u00e9til \u00e9 disparado<\/b><\/span><\/span>\u00a0a\u00a0<\/b><\/span><\/span>partir do solo<\/b><\/span><\/span>, em uma dire\u00e7\u00e3o que faz um<\/b><\/span><\/span>\u00e2ngulo \u03b1 com a dire\u00e7\u00e3o horizontal<\/b><\/span><\/span>, conforme representado na figura abaixo.<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

Assinale a op\u00e7\u00e3o<\/b><\/span><\/span>\u00a0que,\u00a0<\/b><\/span><\/span>desconsiderando a resist\u00eancia do<\/b><\/span><\/span>\u00a0ar, indica os gr\u00e1ficos que melhor<\/b><\/span><\/span><\/p>\n

representam, respectivamente<\/b><\/span><\/span>, o comportamento da\u00a0<\/b><\/span><\/span>componente horizontal e o da componente<\/b><\/span><\/span><\/p>\n

vertical, da velocidade do proj\u00e9til, em fun\u00e7\u00e3o do tempo.<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

\"\"<\/p>\n

MOVIMENTO CIRCULAR<\/b><\/span><\/span><\/span><\/p>\n

01-(ENEM-MEC-016)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

A\u00a0<\/b><\/span><\/span>inven\u00e7\u00e3o e o acoplamento<\/b><\/span><\/span>\u00a0entre\u00a0<\/b><\/span><\/span>engrenagens revolucionaram a ci\u00eancia na \u00e9poca<\/b><\/span><\/span>\u00a0e propiciaram a\u00a0<\/b><\/span><\/span>inven\u00e7\u00e3o de v\u00e1rias tecnologias,\u00a0<\/b><\/span><\/span>como os <\/b><\/span><\/span>rel\u00f3gios.<\/b><\/span><\/span><\/p>\n

Ao\u00a0<\/b><\/span><\/span>construir um pequeno cron\u00f4metro,<\/b><\/span><\/span>\u00a0um r<\/b><\/span><\/span>elojoeiro<\/b><\/span><\/span>\u00a0usa o\u00a0<\/b><\/span><\/span>sistema de engrenagens mostrado.<\/b><\/span><\/span><\/p>\n

De acordo\u00a0<\/b><\/span><\/span>com afigura, um motor \u00e9 ligado ao eixo<\/b><\/span><\/span>\u00a0e\u00a0<\/b><\/span><\/span>movimenta<\/b><\/span><\/span>\u00a0as <\/b><\/span><\/span>engrenagens\u00a0<\/b><\/span><\/span>fazendo o\u00a0<\/b><\/span><\/span>ponteiro girar.<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

A\u00a0<\/b><\/span><\/span>frequ\u00eancia do motor \u00e9 de 18 rpm,<\/b><\/span><\/span>\u00a0e o\u00a0<\/b><\/span><\/span>n\u00famero de dentes das engrenagens\u00a0<\/b><\/span><\/span>est\u00e1\u00a0<\/b><\/span><\/span>apresentado<\/b><\/span><\/span>\u00a0no\u00a0<\/b><\/span><\/span>quadro acima.<\/b><\/span><\/span><\/p>\n

A f<\/b><\/span><\/span>requ\u00eancia\u00a0<\/b><\/span><\/span>de\u00a0<\/b><\/span><\/span>giro do ponteiro,<\/b><\/span><\/span>\u00a0em\u00a0<\/b><\/span><\/span>rpm,<\/b><\/span><\/span>\u00a0\u00e9<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

02-(FMJ-SP-017)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Durante a audi\u00e7\u00e3o de um CD de m\u00fasicas, a\u00a0<\/b><\/span><\/span>rota\u00e7\u00e3o varia de 540 rpm<\/b><\/span><\/span>, na leitura da parte mais interna do CD,\u00a0<\/b><\/span><\/span>a 180 rpm<\/b><\/span><\/span>, na parte mais externa. Nessa situa\u00e7\u00e3o, a\u00a0<\/b><\/span><\/span>varia\u00e7\u00e3o da velocidade angular durante a audi\u00e7\u00e3o desse CD \u00e9<\/b><\/span><\/span>, em m\u00f3dulo, de<\/b><\/span><\/span><\/p>\n

(A) 24<\/b><\/span><\/span><\/span>\u03c0<\/b><\/span><\/span>\u00a0rad\/s.<\/b><\/span><\/span><\/span><\/p>\n

(B) 12<\/b><\/span><\/span><\/span>\u03c0<\/b><\/span><\/span>\u00a0rad\/s.<\/b><\/span><\/span><\/span><\/p>\n

(C) 18<\/b><\/span><\/span><\/span>\u03c0<\/b><\/span><\/span>\u00a0rad\/s.<\/b><\/span><\/span><\/span><\/p>\n

(D) 6<\/b><\/span><\/span><\/span>\u03c0<\/b><\/span><\/span>\u00a0rad\/s.<\/b><\/span><\/span><\/span><\/p>\n

(E) 30\u03c0 rad\/s.<\/b><\/span><\/span><\/p>\n

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

\"\"<\/p>\n

\"\"<\/p>\n

a)<\/b><\/span><\/span>\u00a0a\u00a0<\/b><\/span><\/span>dist\u00e2ncia, em metros,<\/b><\/span><\/span>\u00a0<\/b><\/span><\/span>percorrida\u00a0<\/b><\/span><\/span>pelo avi\u00e3o\u00a0<\/b><\/span><\/span>enquanto sua h\u00e9lice d\u00e1 12 voltas completas.<\/b><\/span><\/span><\/p>\n

b)<\/b><\/span><\/span>\u00a0o\u00a0<\/b><\/span><\/span>m\u00f3dulo da velocidade vetorial instant\u00e2nea,<\/b><\/span><\/span>\u00a0em\u00a0<\/b><\/span><\/span>m\/s,<\/b><\/span><\/span>\u00a0de\u00a0<\/b><\/span><\/span>um ponto<\/b><\/span><\/span>\u00a0da extremidade\u00a0<\/b><\/span><\/span>de uma das p\u00e1s<\/b><\/span><\/span>\u00a0<\/b><\/span><\/span>da h\u00e9lice<\/b><\/span><\/span>\u00a0do avi\u00e3o,\u00a0<\/b><\/span><\/span>em rela\u00e7\u00e3o ao solo,<\/b><\/span><\/span>\u00a0em <\/b><\/span><\/span>determinado instante desse intervalo.<\/b><\/span><\/span><\/p>\n

04-<\/b><\/span><\/span><\/span>(UNESP-SP-016)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Um\u00a0<\/b><\/span><\/span>pequeno motor a pilha<\/b><\/span><\/span>\u00a0\u00e9 utilizado para\u00a0<\/b><\/span><\/span>movimentar um carrinho de brinquedo.<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

Nessas condi\u00e7\u00f5es, quando o\u00a0<\/b><\/span><\/span>motor girar com frequ\u00eancia f<\/b><\/span><\/span>M<\/b><\/span><\/sub><\/span>,<\/b><\/span><\/span>\u00a0as\u00a0<\/b><\/span><\/span>duas rodas do carrinho girar\u00e3o<\/b><\/span><\/span>\u00a0com\u00a0<\/b><\/span><\/span>frequ\u00eancia f<\/b><\/span><\/span>R<\/b><\/span><\/sub><\/span>.<\/b><\/span><\/span><\/p>\n

Sabendo que as engrenagens A e C possuem 8 dentes,<\/b><\/span><\/span>\u00a0que as <\/b><\/span><\/span>engrenagens B e D possuem 24<\/b><\/span><\/span>\u00a0<\/b><\/span><\/span>dentes,<\/b><\/span><\/span>\u00a0que\u00a0<\/b><\/span><\/span>n\u00e3o h\u00e1 escorregamento entre elas e que f<\/b><\/span><\/span>M<\/b><\/span><\/sub><\/span>\u00a0= 13,5 Hz, \u00e9 correto afirmar que f<\/b><\/span><\/span>R<\/b><\/span><\/sub><\/span>, em Hz<\/b><\/span><\/span>, \u00e9 igual a<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

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

\"\"<\/p>\n

A\u00a0<\/b><\/span><\/span>figura representa<\/b><\/span><\/span>, de forma simplificada,\u00a0<\/b><\/span><\/span>parte\u00a0<\/b><\/span><\/span>de um\u00a0<\/b><\/span><\/span>sistema de engrenagens\u00a0<\/b><\/span><\/span>que tem a fun\u00e7\u00e3o de fazer <\/b><\/span><\/span>girar duas h\u00e9lices, H1\u00a0e H2.\u00a0<\/b><\/span><\/span>Um <\/b><\/span><\/span>eixo ligado a um motor\u00a0<\/b><\/span><\/span>gira com\u00a0<\/b><\/span><\/span>velocidade angular constante\u00a0<\/b><\/span><\/span>e\u00a0<\/b><\/span><\/span>nele est\u00e3 opresas duas engrenagens, A e B.\u00a0<\/b><\/span><\/span>Esse eixo pode se\u00a0<\/b><\/span><\/span>movimentar horizontalmente\u00a0<\/b><\/span><\/span>assumindo a posi\u00e7\u00e3o\u00a0<\/b><\/span><\/span>1 ou2.<\/b><\/span><\/span><\/p>\n

Na\u00a0<\/b><\/span><\/span>posi\u00e7\u00e3o 1,<\/b><\/span><\/span>\u00a0a engrenagem\u00a0<\/b><\/span><\/span>B<\/b><\/span><\/span>\u00a0acopla-se \u00e0 engrenagem\u00a0<\/b><\/span><\/span>C<\/b><\/span><\/span>\u00a0e, na\u00a0<\/b><\/span><\/span>posi\u00e7\u00e3o 2<\/b><\/span><\/span>, a engrenagem\u00a0<\/b><\/span><\/span>A<\/b><\/span><\/span>\u00a0acopla-se \u00e0engrenagem\u00a0<\/b><\/span><\/span>D<\/b><\/span><\/span>. Com as\u00a0<\/b><\/span><\/span>engrenagens B e C acopladas<\/b><\/span><\/span>, a h\u00e9lice\u00a0<\/b><\/span><\/span>H1<\/b><\/span><\/span>gira com velocidade angular constante\u00a0<\/b><\/span><\/span>\u03c91\u00a0<\/b><\/span><\/span>e, com as engrenagens\u00a0<\/b><\/span><\/span>A e D acopladas<\/b><\/span><\/span>, a h\u00e9lice\u00a0<\/b><\/span><\/span>H2<\/b><\/span><\/span>gira com velocidade angular constante\u00a0<\/b><\/span><\/span>\u03c92.<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

Considere\u00a0<\/b><\/span><\/span>rA\u00a0, rB\u00a0, rC\u00a0e rD\u00a0<\/b><\/span><\/span>os raios das engrenagens\u00a0<\/b><\/span><\/span>A, B, C e D<\/b><\/span><\/span>, respectivamente. Sabendo que\u00a0<\/b><\/span><\/span>rB\u00a0= 2rA<\/b><\/span><\/span>e que\u00a0<\/b><\/span><\/span>rC\u00a0= RD<\/b><\/span><\/span>, \u00e9 correto afirmar que a\u00a0<\/b><\/span><\/span>rela\u00e7\u00e3o \u03c91\/\u03c92\u00a0\u00e9 igual a<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

06-<\/b><\/span><\/span><\/span> UNIFESO-RJ-015)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Para se\u00a0<\/b><\/span><\/span>exercitarem<\/b><\/span><\/span>, ganhando\u00a0<\/b><\/span><\/span>resist\u00eancia<\/b><\/span><\/span>\u00a0e simulando o ritmo de competi\u00e7\u00e3o, os\u00a0<\/b><\/span><\/span>maratonistas\u00a0<\/b><\/span><\/span>costumam correr durante longos per\u00edodos de tempo mantendo uma <\/b><\/span><\/span>velocidade de m\u00f3dulo constante<\/b><\/span><\/span>. Considere\u00a0<\/b><\/span><\/span>dois maratonistas<\/b><\/span><\/span>\u00a0que se exercitam em uma\u00a0<\/b><\/span><\/span>pista circular de 1200 m de per\u00edmetr<\/b><\/span><\/span>o, ambos com\u00a0<\/b><\/span><\/span>movimentos uniformes. <\/b><\/span><\/span>Quando eles se movem <\/b><\/span><\/span>no mesmo sentido, o mais<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

r\u00e1pido alcan\u00e7a o mais lento a cada 10 minutos.<\/b><\/span><\/span>\u00a0Quando eles se movem em<\/b><\/span><\/span>sentidos opostos,decorrem 2 minutos entre dois cruzamentos sucessivos<\/b><\/span><\/span>. A\u00a0<\/b><\/span><\/span>raz\u00e3o<\/b><\/span><\/span>\u00a0entre o <\/b><\/span><\/span>m\u00f3dulo da velocidadeescalar do mais r\u00e1pido e o m\u00f3dulo da velocidade escalar do mais lento<\/b><\/span><\/span>\u00a0\u00e9<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

07-<\/b><\/span><\/span><\/span> (UnB-DF-015)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

A figura abaixo ilustra, de forma esquematizada, um sistema de<\/b><\/span><\/span>transmiss\u00e3o coroa-catraca\u00a0<\/b><\/span><\/span>de uma<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

bicicleta<\/b><\/span><\/span>. Na figura,\u00a0<\/b><\/span><\/span>ra, rb, rc\u00a0e Wa, Wb, Wc <\/b><\/span><\/span>identificam, respectivamente, os\u00a0<\/b><\/span><\/span>raios e as velocidades angulares da coroa, da catraca e da roda da bicicleta.\u00a0<\/b><\/span><\/span>Considere a situa\u00e7\u00e3o em que um ciclista, pedalando em um modelo de bicicleta com\u00a0<\/b><\/span><\/span>ra\u00a0= 10 cm, rb\u00a0= 5 cm e rc\u00a0= 40 cm<\/b><\/span><\/span>, mantem <\/b><\/span><\/span>velocidade constante <\/b><\/span><\/span>em bicicleta cujo\u00a0<\/b><\/span><\/span>pedal leva 0,1 segundo\u00a0<\/b><\/span><\/span>para ser deslocado da\u00a0<\/b><\/span><\/span>posi\u00e7\u00e3o 1 para a posi\u00e7\u00e3o\u00a0<\/b><\/span><\/span>2, na horizontal.\u00a0<\/b><\/span><\/span>Considere, ainda, que a bicicleta\u00a0<\/b><\/span><\/span>n\u00e3o sofre deslizamentos<\/b><\/span><\/span>.<\/b><\/span><\/span><\/p>\n

Tendo como referencia as informa\u00e7\u00f5es acima<\/b><\/span><\/span>, julgue os itens 01 e 02<\/b><\/span><\/span>e<\/b><\/span><\/span>fa\u00e7a o que se pede no item 03.<\/b><\/span><\/span><\/p>\n

01-(UnB-DF-015)<\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Se o\u00a0<\/b><\/span><\/span>per\u00edodo do movimento da roda \u00e9 igual a 0,5 segundo<\/b><\/span><\/span>, ent\u00e3o o modulo da\u00a0<\/b><\/span><\/span>acelera\u00e7\u00e3o centr\u00edpeta<\/b><\/span><\/span><\/p>\n

de um ponto da\u00a0<\/b><\/span><\/span>periferia da rodada bicicleta \u00e9 inferior a 50 m\/s2.<\/b><\/span><\/span><\/p>\n

02-(UnB-DF-015)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

Na\u00a0<\/b><\/span><\/span>situa\u00e7\u00e3o apresentada<\/b><\/span><\/span>, o\u00a0<\/b><\/span><\/span>per\u00edodo<\/b><\/span><\/span>\u00a0do movimento da\u00a0<\/b><\/span><\/span>roda da bicicleta \u00e9 superior a 0,5 segundo.<\/b><\/span><\/span><\/p>\n

03-(UnB-DF-015)<\/b><\/span><\/span><\/span><\/p>\n

\"Cinem\u00e1tica\"<\/p>\n

Na\u00a0<\/b><\/span><\/span>situa\u00e7\u00e3o apresentada,<\/b><\/span><\/span><\/p>\n

\"\"<\/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 CINEM\u00c1TICA (2015, 2016 e 2017) MOVIMENTO UNIFORME 01-(FMJ-SP-017) A tabela mostra a programa\u00e7\u00e3o dos treinos de corrida de um atleta durante uma semana. De acordo com a tabela, nessa semana o atleta\u00a0percorreu\u00a0em seus treinos uma dist\u00e2ncia, em quil\u00f4metros, igual a (A) 63,0. (B) 56,6. (C) 52,0. (D) 68,8. (E) 72,0. 02-(FATEC \u2013 SP \u2013 16\/17) A<\/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-3142","page","type-page","status-publish","hentry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/3142","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=3142"}],"version-history":[{"count":4,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/3142\/revisions"}],"predecessor-version":[{"id":9857,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/3142\/revisions\/9857"}],"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=3142"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}