{"id":1077,"date":"2015-07-19T04:06:30","date_gmt":"2015-07-19T04:06:30","guid":{"rendered":"http:\/\/fisicaevestibular.com.br\/novo\/?page_id=1077"},"modified":"2024-08-23T12:51:10","modified_gmt":"2024-08-23T12:51:10","slug":"exercicios-sobre-vetores","status":"publish","type":"page","link":"https:\/\/fisicaevestibular.com.br\/novo\/mecanica\/cinematica\/vetores-diferencas-entre-grandezas-escalares-e-grandezas-vetoriais\/exercicios-sobre-vetores\/","title":{"rendered":"Exerc\u00edcios sobre Vetores"},"content":{"rendered":"

Exerc\u00edcios de vestibulares sobre vetores<\/span><\/span><\/span><\/p>\n

 <\/p>\n

01-(<\/b><\/span><\/span><\/span>UFB) Observe a figura a seguir e determine quais os vetores que:<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

a) tem a mesma dire\u00e7\u00e3o.<\/b><\/span><\/span><\/p>\n

b) tem o mesmo sentido.<\/b><\/span><\/span><\/p>\n

c) tem a mesma intensidade (m\u00f3dulo)<\/b><\/span><\/span><\/p>\n

d) s\u00e3o iguais.<\/b><\/span><\/span><\/p>\n

 <\/p>\n

02<\/b><\/span><\/span><\/span>-(UFB) Quantos sentidos possui uma dire\u00e7\u00e3o?<\/b><\/span><\/span><\/p>\n

 <\/p>\n

03<\/b><\/span><\/span><\/span>-(FGV-SP) S\u00e3o grandezas escalares:<\/b><\/span><\/span><\/p>\n

a) tempo, deslocamento e for\u00e7a\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

b) for\u00e7a, velocidade e acelera\u00e7\u00e3o\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

c) tempo, temperatura e volume\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

d) temperatura, velocidade e volume\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

e) tempo, temperatura e deslocamento<\/b><\/span><\/span><\/p>\n

 <\/p>\n

04-<\/b><\/span><\/span><\/span> (Cefet-PR) Verifique quais s\u00e3o as grandezas escalares e vetoriais nas afirma\u00e7\u00f5es abaixo.<\/b><\/span><\/span><\/p>\n

\"\"\u00a0\u00a0\"\"<\/span>\u00a0\u00a0\"\"\u00a0\u00a0\"\"\u00a0\u00a0\"\"<\/p>\n

1) O deslocamento de um avi\u00e3o foi de 100 km, na dire\u00e7\u00e3o Norte do Brasil.<\/b><\/span><\/span><\/p>\n

2) A \u00e1rea da resid\u00eancia a ser constru\u00edda \u00e9 de 120,00 m<\/b><\/span><\/span>2<\/b><\/span><\/span><\/sup>.<\/b><\/span><\/span><\/p>\n

3) A for\u00e7a necess\u00e1ria para colocar uma caixa de 10 kg em uma prateleira \u00e9 de 100 N.<\/b><\/span><\/span><\/p>\n

4) A velocidade marcada no veloc\u00edmetro de um autom\u00f3vel \u00e9 de 80 km\/h.<\/b><\/span><\/span><\/p>\n

5) Um jogo de futebol tem um tempo de dura\u00e7\u00e3o de 90 minutos.<\/b><\/span><\/span><\/p>\n

Assinale a alternativa que apresenta a seq\u00fc\u00eancia correta.<\/b><\/span><\/span><\/p>\n

a) vetorial, vetorial, escalar, vetorial, escalar.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 b) vetorial, escalar, escalar, vetorial, escalar.<\/b><\/span><\/span><\/p>\n

c) escalar, escalar, vetorial, vetorial, escalar.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 d) vetorial, escalar, vetorial, vetorial, escalar.<\/b><\/span><\/span><\/p>\n

e) escalar, escalar, vetorial, escalar, escalar.<\/b><\/span><\/span><\/p>\n

 <\/p>\n

05-(<\/b><\/span><\/span><\/span>UEPG-PR) Quando dizemos que a velocidade de uma bola \u00e9 de 20m\/s, horizontal e para a direita,<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

estamos definindo a velocidade como uma grandeza:<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

06-<\/b><\/span><\/span><\/span>(UESC-BA) Desprezando-se a for\u00e7a de resist\u00eancia do ar, a acelera\u00e7\u00e3o de queda de um corpo nas proximidades da superf\u00edcie terrestre \u00e9, aproximadamente, igual a 10m\/s<\/b><\/span><\/span>2<\/b><\/span><\/span><\/sup>.<\/b><\/span><\/span><\/p>\n

Nessas condi\u00e7\u00f5es, um corpo que cai durante 3 segundos, a partir do repouso, atinge o solo com velocidade igual a v, ap\u00f3s percorrer, no ar, uma dist\u00e2ncia h.<\/b><\/span><\/span><\/p>\n

a) Das grandezas f\u00edsicas citadas, t\u00eam natureza vetorial:<\/b><\/span><\/span><\/p>\n

a) acelera\u00e7\u00e3o, velocidade e for\u00e7a;\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

b) \u00a0for\u00e7a, acelera\u00e7\u00e3o e tempo;\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

c) tempo, velocidade e dist\u00e2ncia;\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

d) dist\u00e2ncia, tempo e acelera\u00e7\u00e3o;\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

e) velocidade, for\u00e7a e dist\u00e2ncia.<\/b><\/span><\/span><\/p>\n

 <\/p>\n

Exerc\u00edcios de vestibulares sobre adi\u00e7\u00e3o de vetores<\/b><\/span><\/span><\/span><\/p>\n

 <\/p>\n

07<\/b><\/span><\/span><\/span>-(UFMG) Uma pessoa sai para dar um passeio pela cidade, fazendo o seguinte percurso: sai de casa e anda 2 quarteir\u00f5es para o Norte; dobra \u00e0 esquerda andando mais 2 quarteir\u00f5es para Oeste, virando, a seguir, novamente \u00e0 esquerda e andando mais dois quarteir\u00f5es para o Sul. Sabendo que cada quarteir\u00e3o mede 100m, o deslocamento da pessoa \u00e9:<\/b><\/span><\/span><\/p>\n

a) 700m para Sudeste\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

b) 200m para Oeste\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

c) 200m para Norte\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

d) 700m em dire\u00e7\u00f5es variadas\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

e) 0m<\/b><\/span><\/span><\/p>\n

 <\/p>\n

08-(<\/b><\/span><\/span><\/span>UFC-CE) Analisando a disposi\u00e7\u00e3o dos vetores BA, EA, CB, CD e DE, conforme figura a seguir, assinale a alternativa que cont\u00e9m a rela\u00e7\u00e3o vetorial correta.<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

a) CB + CD + DE = BA + EA\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

b) BA + EA + CB = DE + CD\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

c) EA – DE + CB = BA + CD\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

d) EA – CB + DE = BA \u2013 CD\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

e) BA – DE – CB = EA + CD<\/b><\/span><\/span><\/p>\n

 <\/p>\n

09-(<\/b><\/span><\/span><\/span>PUC-RJ) Os ponteiros de hora e minuto de um rel\u00f3gio su\u00ed\u00e7o t\u00eam, respectivamente, 1 cm e 2 cm. Supondo que cada ponteiro do rel\u00f3gio \u00e9 um vetor que sai do centro do rel\u00f3gio e aponta na dire\u00e7\u00e3o dos n\u00fameros na extremidade do rel\u00f3gio, determine o vetor resultante da soma dos dois vetores correspondentes aos ponteiros de hora e minuto quando o rel\u00f3gio marca 6 horas.<\/b><\/span><\/span><\/p>\n

a) O vetor tem m\u00f3dulo 1 cm e aponta na dire\u00e7\u00e3o do n\u00famero 12 do rel\u00f3gio.<\/b><\/span><\/span><\/p>\n

b) O vetor tem m\u00f3dulo 2 cm e aponta na dire\u00e7\u00e3o do n\u00famero 12 do rel\u00f3gio.<\/b><\/span><\/span><\/p>\n

c) O vetor tem m\u00f3dulo 1 cm e aponta na dire\u00e7\u00e3o do n\u00famero 6 do rel\u00f3gio.<\/b><\/span><\/span><\/p>\n

d) O vetor tem m\u00f3dulo 2 cm e aponta na dire\u00e7\u00e3o do n\u00famero 6 do rel\u00f3gio.<\/b><\/span><\/span><\/p>\n

e) O vetor tem m\u00f3dulo 1,5 cm e aponta na dire\u00e7\u00e3o do n\u00famero 6 do rel\u00f3gio.<\/b><\/span><\/span><\/p>\n

 <\/p>\n

10-(<\/b><\/span><\/span><\/span>CFT-CE) Para se posicionar frente ao gol advers\u00e1rio, um jogador efetua deslocamentos r\u00e1pidos e<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

sucessivos em linha reta,com m\u00f3dulos de 1,8 m e 2,4 m, deixando completamente para tr\u00e1s a defesa oponente. Para que o deslocamento resultante da bola seja de 3,0m, o \u00e2ngulo entre estes deslocamentos deve ser de:<\/b><\/span><\/span><\/p>\n

a) 0\u00b0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 b) 30\u00b0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 c) 60\u00b0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 d) 90\u00b0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0e) 120\u00b0<\/b><\/span><\/span><\/p>\n

 <\/p>\n

11-(<\/b><\/span><\/span><\/span>CFT-CE) Dados os vetores “a”, “b”, “c”, “d” e “e” a seguir representados, obtenha o m\u00f3dulo do vetor soma:<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

\"\"<\/p>\n

a) zero\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 b) \u221a20\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 c) 1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 d) 2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 e) \u221a52<\/b><\/span><\/span><\/p>\n

 <\/p>\n

12-<\/b><\/span><\/span><\/span>\u00a0(PUC- SP) Os esquemas ao lado mostram um barco retirado de um rio por dois homens. Em (a) s\u00e3o usadas cordas que transmitem ao barco for\u00e7as paralelas de intensidades F<\/b><\/span><\/span>1<\/b><\/span><\/span><\/sub>\u00a0<\/b><\/span><\/span><\/span>e F<\/b><\/span><\/span>2<\/b><\/span><\/span><\/sub>. Em (b) s\u00e3o usadas cordas inclinadas de 90\u00ba que transmitem ao barco for\u00e7as de intensidades iguais \u00e0s anteriores.<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

\u00a0\u00a0Sabe-se que, no caso (a), a for\u00e7a resultante transmitida ao barco tem intensidade 50kgf e que, no caso (b), tem intensidade de 70kgf. Nessas condi\u00e7\u00f5es, determine os esfor\u00e7os desenvolvidos pelos dois homens.<\/b><\/span><\/span><\/p>\n

 <\/p>\n

13-(<\/b><\/span><\/span><\/span>FATEC-SP) Um autom\u00f3vel percorre 6,0km para o norte e, em seguida 8,0km para o leste. A intensidade do vetor posi\u00e7\u00e3o, em rela\u00e7\u00e3o ao ponto de partida \u00e9:<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

14-(<\/b><\/span><\/span><\/span>INATEL- MG) – Jo\u00e3o caminha 3 metros para oeste e depois 6 metros para o sul. Em seguida, caminha 11 metros para leste. Em rela\u00e7\u00e3o ao ponto de partida, podemos afirmar que Jo\u00e3o est\u00e1:<\/b><\/span><\/span><\/p>\n

a) a 10 m para sudeste; \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

b) a 10 m para sudoeste; \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

c) a 14 m para sudeste; \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

d) a 14 m para sudoeste;<\/b><\/span><\/span><\/p>\n

e) a 20 m para sudoeste.<\/b><\/span><\/span><\/p>\n

 <\/p>\n

15-(<\/b><\/span><\/span><\/span>UEL-PR) Na figura a seguir est\u00e3o desenhados dois vetores (\"\"e\"\"). Esses vetores representam deslocamentos sucessivos de um corpo. Qual \u00e9 o m\u00f3dulo do vetor igual a<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>+\"\"?<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

\"\"<\/p>\n

16<\/b><\/span><\/span><\/span>-(MACKENZIE-SP) Com seis vetores de m\u00f3dulo iguais a 8u, construiu-se o hex\u00e1gono regular abaixo. O m\u00f3dulo do vetor resultante desses seis vetores \u00e9:<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

\"\"<\/p>\n

17<\/b><\/span><\/span><\/span>-(URCAMP-RS) No sistema plano figurado, representamos os vetores R iguais em m\u00f3dulo. Calcule<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

a intensidade do vetor soma.<\/b><\/span><\/span><\/p>\n

 <\/p>\n

18-<\/b><\/span><\/span><\/span>(<\/b><\/span><\/span><\/span>FCC-SP) Qual \u00e9 a rela\u00e7\u00e3o entre os<\/b><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>vetores,<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>,\"\",\"\", e<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>\u00a0representados abaixo?<\/b><\/span><\/span><\/p>\n


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

a)<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>. \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

b)<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>. \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

c)<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>. \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

d)<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>. \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

e)<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>.<\/b><\/span><\/span><\/p>\n

 <\/p>\n

19<\/b><\/span><\/span><\/span>–<\/b><\/span><\/span><\/span>(<\/b><\/span><\/span><\/span>UnB-DF) Sobre a composi\u00e7\u00e3o dos vetores a seguir podemos dizer que:<\/b><\/span><\/span><\/p>\n


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

a)<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

b)<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

c)<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

d)<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>.<\/b><\/span><\/span><\/p>\n

 <\/p>\n

20-(<\/b><\/span><\/span><\/span>UnB-DF) \u00c9 dado o diagrama vetorial da figura. Qual a express\u00e3o correta?<\/b><\/span><\/span><\/p>\n


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

a)<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>.\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

b)<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>.\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

c)<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

d)<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

e)<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>.<\/b><\/span><\/span><\/p>\n

 <\/p>\n

21<\/b><\/span><\/span><\/span>-(UnB-DF) Considere um rel\u00f3gio com mostrador circular de 10 cm de raio e cujo ponteiro dos minutos tem comprimento igual ao raio do mostrador. Considere esse ponteiro como um vetor de origem no centro do rel\u00f3gio e dire\u00e7\u00e3o vari\u00e1vel. O m\u00f3dulo da soma dos tr\u00eas vetores determinados pela posi\u00e7\u00e3o desse ponteiro quando o rel\u00f3gio marca exatamente 12 horas, 12 horas e 20 minutos e, por fim, 12 horas e 40 minutos \u00e9, em cm, igual a:<\/b><\/span><\/span><\/p>\n

a) 30.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

b)<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

c) 20.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

d) zero.<\/b><\/span><\/span><\/p>\n

 <\/p>\n

22-(<\/b><\/span><\/span><\/span>UNEB-BA) Um jogador de golfe necessita de quatro tacadas para colocar a bola no buraco. Os quatro deslocamentos est\u00e3o representados na figura abaixo.<\/b><\/span><\/span><\/p>\n

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

\u00a0Sendo<\/b><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>d<\/b><\/span><\/span>1<\/b><\/span><\/span><\/sub>\u00a0<\/b><\/span><\/span><\/span>= 15 m, d<\/b><\/span><\/span>2<\/b><\/span><\/span><\/sub>\u00a0<\/b><\/span><\/span><\/span>= 6,0 m, d<\/b><\/span><\/span>3<\/b><\/span><\/span><\/sub>\u00a0<\/b><\/span><\/span><\/span>= 3,0 m e d<\/b><\/span><\/span>4<\/b><\/span><\/span><\/sub>\u00a0<\/b><\/span><\/span><\/span>= 1,0 m,<\/b><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>a dist\u00e2ncia inicial da bola ao buraco era, em metros, igual a:<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

23<\/b><\/span><\/span><\/span>-(UEL-PR) Dados os vetores<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>,<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>,<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>,<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>\u00a0e<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>\u00a0de mesmo m\u00f3dulo, qual das rela\u00e7\u00f5es abaixo est\u00e1 correta?<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

 <\/p>\n

 <\/p>\n

\"\"<\/p>\n

24-(<\/b><\/span><\/span><\/span>UFRN) – A figura abaixo representa os deslocamentos de um m\u00f3vel em v\u00e1rias etapas.<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

Cada vetor tem m\u00f3dulo igual a 20 m. A dist\u00e2ncia percorrida pelo m\u00f3vel e o m\u00f3dulo do vetor deslocamento s\u00e3o, respectivamente:<\/b><\/span><\/span><\/p>\n

a) 20\u221a5m e \u00a020\u221a5m\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 b) 40 m e 40\u221a5m\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 c) 100 m e 20\u221a5m\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 d) 20\u221a5m e 40 m\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 e) 100 m e 40\u221a5m<\/b><\/span><\/span><\/p>\n

 <\/p>\n

25<\/b><\/span><\/span><\/span>-(UCSal-BA) Dado o conjunto de vetores, marque V para as quest\u00f5es verdadeiras e F para as falsas.<\/b><\/span><\/span><\/p>\n

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

26<\/b><\/span><\/span><\/span>–<\/b><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>(Fatec-SP) Sobre o corpo C atuam duas for\u00e7as<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>e<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>, conforme esquema. O diagrama que fornece a resultante<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>\u00a0\u00e9:<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

27<\/b><\/span><\/span><\/span>-(Ufc-CE) Na figura a seguir, onde o reticulado forma quadrados de lado L=0,50cm, est\u00e3o desenhados dez vetores, contidos no plano xy. O m\u00f3dulo da soma de todos esses vetores \u00e9, em cent\u00edmetros:<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

\"\"<\/p>\n

28<\/b><\/span><\/span><\/span>-(MACKENZIE-SP) A resultante dos vetores<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>\u00a0mostrados na figura \u00e9:<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

\"\"<\/p>\n

29-(<\/b><\/span><\/span><\/span>UNIUBE-MG) Qual \u00e9 o m\u00f3dulo da resultante da soma dos vetores representados abaixo?<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

a) 2,0u\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

b) 3,5u\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

c) 4,0u\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

d) 7,0u\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

e) 8,0u<\/b><\/span><\/span><\/p>\n

 <\/p>\n

30<\/b><\/span><\/span><\/span>-(PUC-BA) Nas figuras seguintes est\u00e3o representados pares de vetores<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>e<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>nos quais cada segmento orientado est\u00e1 subdividido em segmentos unit\u00e1rios.<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

Quais destes pares t\u00eam a mesma resultante?<\/b><\/span><\/span><\/p>\n

 <\/p>\n

31<\/b><\/span><\/span><\/span>-(UNESP-SP) A figura mostra, em escala, duas for\u00e7as<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>\u00a0e<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>, atuando num mesmo ponto material P.<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

a) Represente na figura reproduzida a for\u00e7a<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>, resultante das for\u00e7as<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>\u00a0e<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>, e determine o valor de seu m\u00f3dulo , em newtons.<\/b><\/span><\/span><\/p>\n

b) Represente, tamb\u00e9m na mesma figura, a for\u00e7a<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>, de tal modo que<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>.<\/b><\/span><\/span><\/p>\n

 <\/p>\n

32-(<\/b><\/span><\/span><\/span>FATEC-SP) Duas for\u00e7as t\u00eam intensidades F<\/b><\/span><\/span>1<\/b><\/span><\/span><\/sub>=10N e F<\/b><\/span><\/span>2<\/b><\/span><\/span><\/sub>=15N. O m\u00f3dulo da resultante da soma vetorial desses dois vetores, n\u00e3o pode ser:<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

33-(<\/b><\/span><\/span><\/span>FATEC-SP) No gr\u00e1fico anexo est\u00e3o representados tr\u00eas vetores \u00a0\"\". Os vetores<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>e<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>s\u00e3o unit\u00e1rios. Analise as informa\u00e7\u00f5es:<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

\"\"<\/p>\n

34-(<\/b><\/span><\/span><\/span>PUC-RJ) Um veleiro deixa o porto navegando 70 km em dire\u00e7\u00e3o leste.<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

Em seguida, para atingir seu destino, navega mais 100 km na dire\u00e7\u00e3o nordeste. Desprezando a curvatura da terra admitindo que todos os deslocamentos s\u00e3o coplanares, determine o deslocamento total do veleiro em rela\u00e7\u00e3o ao porto de origem.<\/b><\/span><\/span><\/p>\n

(Considere \u221a2 = 1,40 e \u221a5 = 2,20)<\/b><\/span><\/span><\/p>\n

a) 106 km\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

b) 34 km\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

c) 154 km\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

d) 284 km\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

e) 217 km<\/b><\/span><\/span><\/p>\n

 <\/p>\n

35<\/b><\/span><\/span><\/span>-(UFPB-PB) Uma bola de bilhar sofre quatro deslocamentos sucessivos representados pelos vetores<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>apresentados no diagrama abaixo.<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

\"\"<\/p>\n

 <\/p>\n

36-(<\/b><\/span><\/span><\/span>UFAL-AL)\u00a0 A localiza\u00e7\u00e3o de um lago, em rela\u00e7\u00e3o a uma caverna pr\u00e9-hist\u00f3rica, exigia que se<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

caminhasse 200 m numa certa dire\u00e7\u00e3o e, a seguir, 480 m numa dire\u00e7\u00e3o perpendicular \u00e0 primeira. A dist\u00e2ncia em linha reta, da caverna ao lago era, em metros,\u00a0<\/b><\/span><\/span><\/p>\n

a) 680\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

b) 600\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

c) 540\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

d) 520\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

e) 500\u00a0<\/b><\/span><\/span><\/p>\n

 <\/p>\n

\u00a037<\/b><\/span><\/span><\/span>-(UFPB-PB) Considere os vetores\"\",<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>\u00a0e<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>, nos diagramas numerados de I a IV.<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

Os diagramas que, corretamente, representam a rela\u00e7\u00e3o vetorial<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>\u00a0=<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>\u00a0–<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>\u00a0s\u00e3o apenas:\u00a0<\/b><\/span><\/span><\/p>\n

a) I e III\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

b) II e IV\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

c) II e III\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

d) III e IV\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

e) I e IV\u00a0<\/b><\/span><\/span><\/p>\n

 <\/p>\n

38<\/b><\/span><\/span><\/span>-(UEG-GO)\u00a0 Considerando que os vetores<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>,<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>\u00a0e<\/b><\/span><\/span>\u00a0\"\" <\/b><\/span><\/span><\/span>satisfazem \u00e0 equa\u00e7\u00e3o vetorial<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>\u00a0+<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>\u00a0=\"\"<\/b><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>e seus m\u00f3dulos est\u00e3o relacionados pela equa\u00e7\u00e3o escalar A + B = C, responda ao que se pede.<\/b><\/span><\/span><\/p>\n

a) Como est\u00e1 orientado o vetor A em rela\u00e7\u00e3o ao vetor B? Justifique o seu racioc\u00ednio.<\/b><\/span><\/span><\/p>\n

b) Considere agora que a rela\u00e7\u00e3o entre os seus m\u00f3dulos seja dada por A<\/b><\/span><\/span>2<\/b><\/span><\/span><\/sup> + B<\/b><\/span><\/span>2<\/b><\/span><\/span><\/sup> = C<\/b><\/span><\/span>2<\/b><\/span><\/span><\/sup>.<\/b><\/span><\/span><\/p>\n

Qual seria a nova orienta\u00e7\u00e3o do vetor B em rela\u00e7\u00e3o ao vetor A? Justifique seu racioc\u00ednio.<\/b><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span><\/p>\n

39<\/b><\/span><\/span><\/span>– (FUVEST-SP) Um viajante saiu de Araripe, no Cear\u00e1, percorreu, inicialmente, 1.000 km para o<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

sul, depois 1.000 km para o oeste e, por fim, mais 750 km para o sul. Com base nesse trajeto e no mapa acima, pode-se afirmar que, durante seu percurso, o viajante passou pelos estados do Cear\u00e1,<\/b><\/span><\/span><\/p>\n

a) Rio Grande do Norte, Bahia, Minas Gerais, Goi\u00e1s e Rio de Janeiro, tendo visitado os ecossistemas da Caatinga, Mata Atl\u00e2ntica e Pantanal. Encerrou sua viagem a cerca de 250 km da cidade de S\u00e3o Paulo.<\/b><\/span><\/span><\/p>\n

b) Rio Grande do Norte, Bahia, Minas Gerais, Goi\u00e1s e Rio de Janeiro, tendo visitado os ecossistemas da Caatinga, Mata Atl\u00e2ntica e Cerrado. Encerrou sua viagem a cerca de 750 km da cidade de S\u00e3o Paulo.<\/b><\/span><\/span><\/p>\n

c) Pernambuco, Bahia, Minas Gerais, Goi\u00e1s e S\u00e3o Paulo, tendo visitado os ecossistemas da Caatinga, Mata Atl\u00e2ntica e Pantanal. Encerrou sua viagem a cerca de 250 km da cidade de S\u00e3o Paulo.<\/b><\/span><\/span><\/p>\n

d) Pernambuco, Bahia, Minas Gerais, Goi\u00e1s e S\u00e3o Paulo, tendo visitado os ecossistemas da Caatinga, Mata Atl\u00e2ntica e Cerrado. Encerrou sua viagem a cerca de 750 km da cidade de S\u00e3o Paulo.<\/b><\/span><\/span><\/p>\n

e) Pernambuco, Bahia, Minas Gerais, Goi\u00e1s e S\u00e3o Paulo, tendo visitado os ecossistemas da Caatinga, Mata Atl\u00e2ntica e Cerrado. Encerrou sua viagem a cerca de 250 km da cidade de S\u00e3o Paulo.<\/b><\/span><\/span><\/p>\n

 <\/p>\n

Instru\u00e7\u00e3o: As quest\u00f5es 40 e 41 devem ser respondidas com base na situa\u00e7\u00e3o f\u00edsica descrita a seguir.<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

No esquema apresentado na figura abaixo, uma part\u00edcula de poeira c\u00f3smica, cuja massa \u00e9 igual a 2,0 g, move-se livremente de norte para o sul, com velocidade de m\u00f3dulo igual a 1,2 km\/s. No instante visualizado nesse esquema (t = 0), passam a atuar sobre essa part\u00edcula as for\u00e7as A, B e C nele representadas, sendo todas elas constantes.<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

Considere tamb\u00e9m que os valores num\u00e9ricos associados aos eixos \u201cnorte\u201d e \u201cleste\u201d referem-se \u00e0 unidade de for\u00e7a do Sistema Internacional: newton (N).<\/b><\/span><\/span><\/p>\n

 <\/p>\n

40<\/b><\/span><\/span><\/span>-(IFNMG-MG)<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

O m\u00f3dulo da velocidade da part\u00edcula no instante t = 1,0 s, expresso em km\/s, est\u00e1 corretamente apresentado na alternativa:<\/b><\/span><\/span><\/p>\n

A) 1,3\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/span><\/p>\n

B) 2,4\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/span><\/p>\n

C) 1,0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0<\/b><\/span><\/span><\/span><\/p>\n

D) 1,8<\/b><\/span><\/span><\/span><\/p>\n

 <\/p>\n

41<\/b><\/span><\/span><\/span><\/span>-(IFNMG-MG)<\/b><\/span><\/span><\/span><\/p>\n

\"\"<\/p>\n

No instante t = 1,0 s, as for\u00e7as A, B e C deixam de atuar na part\u00edcula. Nessas condi\u00e7\u00f5es, a forma da trajet\u00f3ria da part\u00edcula, desde t = 0, est\u00e1 corretamente descrita na alternativa:<\/b><\/span><\/span><\/p>\n

A) Retil\u00ednea, desde t = 0, e ainda retil\u00ednea, ap\u00f3s t = 1,0 s.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

B) Inicialmente circular e, ap\u00f3s 1,0 s, retil\u00ednea.<\/b><\/span><\/span><\/p>\n

C) Inicialmente circular e, ap\u00f3s 1,0 s, parab\u00f3lica.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

D) Inicialmente parab\u00f3lica e, ap\u00f3s t = 1,0 s, retil\u00ednea.<\/b><\/span><\/span><\/p>\n

 <\/p>\n

 <\/p>\n

42<\/b><\/span><\/span><\/span>-(AFA) Os vetores<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>\u00a0, na figura abaixo, representam, respectivamente, a velocidade do vento medida em rela\u00e7\u00e3o ao solo e a<\/b><\/span><\/span><\/p>\n

\"\"<\/p>\n

velocidade de um avi\u00e3o em pleno v\u00f4o, medida em rela\u00e7\u00e3o ao vento.<\/b><\/span><\/span><\/p>\n

Sabendo-se que o movimento resultante do avi\u00e3o acontece em uma dire\u00e7\u00e3o perpendicular \u00e0 dire\u00e7\u00e3o da velocidade do vento, tem-se que o cosseno do \u00e2ngulo \u03b8 entre os vetores velocidades<\/b><\/span><\/span>\u00a0\"\"<\/b><\/span><\/span><\/span>, em m\u00f3dulo, vale<\/b><\/span><\/span><\/p>\n

a) B\/A\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

b) A\/B\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

c) \u2013 A\/B\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/span><\/span><\/p>\n

d) \u2013 A.B<\/b><\/span><\/span><\/p>\n

Resolu\u00e7\u00e3o dos Exerc\u00edcios sobre Vetores\u00a0<\/span><\/a><\/h3>\n","protected":false},"excerpt":{"rendered":"

Exerc\u00edcios de vestibulares sobre vetores   01-(UFB) Observe a figura a seguir e determine quais os vetores que: a) tem a mesma dire\u00e7\u00e3o. b) tem o mesmo sentido. c) tem a mesma intensidade (m\u00f3dulo) d) s\u00e3o iguais.   02-(UFB) Quantos sentidos possui uma dire\u00e7\u00e3o?   03-(FGV-SP) S\u00e3o grandezas escalares: a) tempo, deslocamento e for\u00e7a\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 b) for\u00e7a, velocidade e acelera\u00e7\u00e3o\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 c)<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":1075,"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-1077","page","type-page","status-publish","hentry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/1077","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=1077"}],"version-history":[{"count":2,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/1077\/revisions"}],"predecessor-version":[{"id":1082,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/1077\/revisions\/1082"}],"up":[{"embeddable":true,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/1075"}],"wp:attachment":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/media?parent=1077"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}