{"id":3613,"date":"2018-02-13T12:32:58","date_gmt":"2018-02-13T12:32:58","guid":{"rendered":"http:\/\/fisicaevestibular.com.br\/novo\/?page_id=3613"},"modified":"2024-08-21T13:28:21","modified_gmt":"2024-08-21T13:28:21","slug":"resolucao-comentada-vetores-cinematica-vetorial","status":"publish","type":"page","link":"https:\/\/fisicaevestibular.com.br\/novo\/enem\/vetores-cinematica-vetorial\/resolucao-comentada-vetores-cinematica-vetorial\/","title":{"rendered":"Vetores \u2013 Cinem\u00e1tica Vetorial &#8211; Resolu\u00e7\u00e3o"},"content":{"rendered":"<p align=\"CENTER\"><span style=\"color: #c00000;\"><span style=\"font-family: Arial\\ Black, serif;\"><span style=\"font-size: large;\"><b>Resolu\u00e7\u00e3o Comentada<\/b><\/span><\/span><\/span><\/p>\n<p align=\"CENTER\"><span style=\"color: #0000cc;\"><span style=\"font-family: Arial\\ Black, serif;\"><span style=\"font-size: large;\"><b>Vetores \u2013 Cinem\u00e1tica Vetorial<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #c00000;\"><span style=\"font-family: Arial\\ Black, serif;\"><span style=\"font-size: large;\"><b>01-<\/b><\/span><\/span><\/span><span style=\"color: #c00000;\"><span style=\"font-family: Arial, serif;\"><span style=\"font-size: medium;\"><b>\u00a0<\/b><\/span><\/span><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial, serif;\"><span style=\"font-size: medium;\"><b>A escala gr\u00e1fica disp\u00f5e que cada cent\u00edmetro do mapa equivale a 250 quil\u00f4metros do terreno, o <\/b><\/span><\/span><\/span><\/p>\n<p align=\"CENTER\"><img decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/enem\/5\/ENEM5_html_d09a5e5.jpg\" alt=\"\" width=\"212\" height=\"234\" name=\"Imagem 26\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><span style=\"color: #0000cc;\"><span style=\"font-family: Arial, serif;\"><span style=\"font-size: medium;\"><b>que facilita representar que facilita representar vetorialmente o percurso feito pelo viajante e, inclusive representar seu deslocamento vetorial (em azul). Dessa forma ele caminhou 1000 km para o Sul (dire\u00e7\u00e3o f\u00e1cil de identificar, pois o Norte est\u00e1 indicado no mapa), saindo do Cear\u00e1 e passando por Pernambuco e Bahia. Nesse estado mudou de rumo e viajou 1.000 km para o Oeste, chegando a Goi\u00e1s, a partir de onde rumou mais 750 km para o Sul, chegando ao estado de S\u00e3o Paulo. Nesse trajeto o viajante avistou os ecossistemas da Caatinga, do Cerrado e da Mata Atl\u00e2ntica.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #ff0000;\"><span style=\"font-family: Arial\\ Black, serif;\"><span style=\"font-size: medium;\"><b>R- E<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #0000cc;\"><span style=\"font-family: Arial, serif;\"><span style=\"font-size: medium;\"><b>02-\u00a0Observe a sequ\u00eancia abaixo:<\/b><\/span><\/span><\/span><\/p>\n<p><img fetchpriority=\"high\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/enem\/5\/ENEM5_html_2f8cda88.png\" alt=\"\" width=\"783\" height=\"114\" name=\"Imagem 34\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><span style=\"color: #ff0000;\"><span style=\"font-family: Arial\\ Black, serif;\"><span style=\"font-size: medium;\"><b>R- D<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #c00000;\"><span style=\"font-family: Arial\\ Black, serif;\"><span style=\"font-size: large;\"><b>03-<\/b><\/span><\/span><\/span><span style=\"color: #c00000;\"><span style=\"font-family: Arial, serif;\"><span style=\"font-size: medium;\"><b>\u00a0<\/b><\/span><\/span><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial, serif;\"><span style=\"font-size: medium;\"><b>Somando todos os vetores pelo m\u00e9todo da linha poligonal<\/b><\/span><\/span><\/span><\/p>\n<p align=\"CENTER\"><img decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/enem\/5\/ENEM5_html_1e2fb0ef.jpg\" alt=\"\" width=\"395\" height=\"177\" name=\"Imagem 28\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><span style=\"color: #0000cc;\"><span style=\"font-family: Arial, serif;\"><span style=\"font-size: medium;\"><b>S=4.0,50=2.0cm\u00a0 &#8212;\u00a0\u00a0<\/b><\/span><\/span><\/span><span style=\"color: #ff0000;\"><span style=\"font-family: Arial\\ Black, serif;\"><span style=\"font-size: medium;\"><b>R- E<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #c00000;\"><span style=\"font-family: Arial\\ Black, serif;\"><span style=\"font-size: large;\"><b>04-<img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/enem\/5\/ENEM5_html_9273bb0e.jpg\" alt=\"\" width=\"783\" height=\"204\" name=\"Imagem 29\" align=\"BOTTOM\" border=\"0\" \/><\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #0000cc;\"><span style=\"font-family: Arial, serif;\"><span style=\"font-size: medium;\"><b>ou ainda, somando os vetores pelo m\u00e9todo da linha poligonal\u00a0 &#8212;\u00a0 observe que est\u00e3o na sequ\u00eancia 0,1,2 3 e 4.<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #0000cc;\">\u00a0<img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/enem\/5\/ENEM5_html_c539ab64.jpg\" alt=\"\" width=\"600\" height=\"155\" name=\"Imagem 30\" align=\"BOTTOM\" border=\"0\" \/><\/span><\/p>\n<p><span style=\"color: #ff0000;\"><span style=\"font-family: Arial\\ Black, serif;\"><span style=\"font-size: medium;\"><b>R- D<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #0000cc;\"><span style=\"font-family: Arial, serif;\"><span style=\"font-size: medium;\"><b>05-\u00a0Como a dist\u00e2ncia entre as duas boias n\u00e3o varia, elas est\u00e3o paradas uma em rela\u00e7\u00e3o a outra. Ent\u00e3o, o menino deve nadar diretamente de uma para outra\u00a0 &#8212;\u00a0\u00a0<\/b><\/span><\/span><\/span><span style=\"color: #ff0000;\"><span style=\"font-family: Arial\\ Black, serif;\"><span style=\"font-size: medium;\"><b>R- A<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #c00000;\"><span style=\"font-family: Arial\\ Black, serif;\"><span style=\"font-size: large;\"><b>06-<\/b><\/span><\/span><\/span><span style=\"color: #c00000;\"><span style=\"font-family: Arial, serif;\"><span style=\"font-size: medium;\"><b>\u00a0<\/b><\/span><\/span><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial, serif;\"><span style=\"font-size: medium;\"><b>Como o transatl\u00e2ntico se move em linha reta com velocidade constante ele est\u00e1 em equil\u00edbrio din\u00e2mico e comporta-se como se estivesse em repouso (equil\u00edbrio est\u00e1tico), n\u00e3o afetando o movimento da bola\u00a0 <\/b><\/span><\/span><\/span><span style=\"color: #ff0000;\"><span style=\"font-family: Arial\\ Black, serif;\"><span style=\"font-size: medium;\"><b>&#8212;\u00a0\u00a0R- D<\/b><\/span><\/span><\/span><span style=\"color: #ff0000;\"><span style=\"font-family: Arial, serif;\"><span style=\"font-size: medium;\"><b>\u00a0<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #c00000;\"><span style=\"font-family: Arial\\ Black, serif;\"><span style=\"font-size: large;\"><b>07-<\/b><\/span><\/span><\/span><span style=\"color: #c00000;\"><span style=\"font-family: Arial, serif;\"><span style=\"font-size: medium;\"><b>\u00a0<\/b><\/span><\/span><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial, serif;\"><span style=\"font-size: medium;\"><b>Dados: v<\/b><\/span><\/span><\/span><span style=\"color: #0000cc;\"><sub><span style=\"font-family: Arial, serif;\"><span style=\"font-size: medium;\"><b>carro<\/b><\/span><\/span><\/sub><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial, serif;\"><span style=\"font-size: medium;\"><b>\u00a0= 80 km\/h; sen\u03b8\u00a0= 0,8 e cos\u03b8\u00a0= 0,6\u00a0 &#8212;\u00a0 a figura abaixo mostra o autom\u00f3vel e as <\/b><\/span><\/span><\/span><\/p>\n<p align=\"CENTER\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/enem\/5\/ENEM5_html_dd38dc2e.jpg\" alt=\"\" width=\"623\" height=\"175\" name=\"Imagem 31\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><span style=\"color: #0000cc;\"><span style=\"font-family: Arial, serif;\"><span style=\"font-size: medium;\"><b>velocidades do autom\u00f3vel (<img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/enem\/5\/ENEM5_html_75d4ea7c.jpg\" alt=\"\" width=\"39\" height=\"23\" name=\"Imagem 32\" align=\"BOTTOM\" border=\"0\" \/>) e da chuva (<img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/enem\/5\/ENEM5_html_c7dec55a.gif\" alt=\"\" width=\"19\" height=\"23\" name=\"Imagem 33\" align=\"BOTTOM\" border=\"0\" \/>), para a pessoa parada na beira da estrada. O diagrama vetorial mostra a composi\u00e7\u00e3o dessas velocidades para o estudante\u00a0 &#8212;\u00a0 tg\u03b8\u00a0=V<\/b><\/span><\/span><\/span><span style=\"color: #0000cc;\"><sub><span style=\"font-family: Arial, serif;\"><span style=\"font-size: medium;\"><b>carro<\/b><\/span><\/span><\/sub><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial, serif;\"><span style=\"font-size: medium;\"><b>\/V\u00a0 &#8212;\u00a0 sen\u03b8\/cos\u03b8=V<\/b><\/span><\/span><\/span><span style=\"color: #0000cc;\"><sub><span style=\"font-family: Arial, serif;\"><span style=\"font-size: medium;\"><b>carro<\/b><\/span><\/span><\/sub><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial, serif;\"><span style=\"font-size: medium;\"><b>\/V\u00a0 &#8212;\u00a0 0,8\/0.6=80\/V<\/b><\/span><\/span><\/span><span style=\"color: #0000cc;\"><sub><span style=\"font-family: Arial, serif;\"><span style=\"font-size: medium;\"><b>carro<\/b><\/span><\/span><\/sub><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial, serif;\"><span style=\"font-size: medium;\"><b>\u00a0 &#8212;\u00a0 V<\/b><\/span><\/span><\/span><span style=\"color: #0000cc;\"><sub><span style=\"font-family: Arial, serif;\"><span style=\"font-size: medium;\"><b>carro<\/b><\/span><\/span><\/sub><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial, serif;\"><span style=\"font-size: medium;\"><b>=60km\/h\u00a0 &#8212;\u00a0\u00a0<\/b><\/span><\/span><\/span><span style=\"color: #ff0000;\"><span style=\"font-family: Arial\\ Black, serif;\"><span style=\"font-size: medium;\"><b>R- B<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #0000cc;\">\u00a0<\/span><\/p>\n<p><span style=\"color: #c00000;\"><span style=\"font-family: Arial\\ Black, serif;\"><span style=\"font-size: large;\"><b>08-<\/b><\/span><\/span><\/span><span style=\"color: #c00000;\"><span style=\"font-family: Arial, serif;\"><span style=\"font-size: medium;\"><b>\u00a0\u00a0<\/b><\/span><\/span><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial, serif;\"><span style=\"font-size: medium;\"><b>O tempo de travessia depende apenas da largura do rio (L) e da velocidade do barco em rela\u00e7\u00e3o \u00e0s margens (u)\u00a0 &#8212;\u00a0 u=L\/t\u00a0 &#8212;\u00a0\u00a0t=L\/u\u00a0 &#8212;\u00a0quanto maior a velocidade das \u00e1guas, maior ser\u00e1 o deslocamento do barco para a direita\u00a0 &#8212;\u00a0\u00a0<\/b><\/span><\/span><\/span><span style=\"color: #ff0000;\"><span style=\"font-family: Arial\\ Black, serif;\"><span style=\"font-size: medium;\"><b>R- B<\/b><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #c00000;\"><span style=\"font-family: Arial\\ Black, serif;\"><span style=\"font-size: medium;\"><b>09-<\/b><\/span><\/span><\/span><span style=\"color: #c00000;\"><span style=\"font-family: Arial, serif;\"><span style=\"font-size: medium;\"><b>\u00a0<\/b><\/span><\/span><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial, serif;\"><span style=\"font-size: medium;\"><b>Estando o carro em movimento para a direita, as gotas de chuva que cairiam verticalmente com o carro parado, ficam inclinadas para a esquerda\u00a0 &#8212;\u00a0\u00a0<\/b><\/span><\/span><\/span><span style=\"color: #ff0000;\"><span style=\"font-family: Arial\\ Black, serif;\"><span style=\"font-size: medium;\"><b>R- B<\/b><\/span><\/span><\/span><\/p>\n<p>&nbsp;<\/p>\n<h3><a title=\"Vetores \u2013 Cinem\u00e1tica Vetorial\" href=\"http:\/\/fisicaevestibular.com.br\/novo\/enem\/vetores-cinematica-vetorial\/\"><span style=\"color: #000080;\">Voltar para os exerc\u00edcios<\/span><\/a><\/h3>\n","protected":false},"excerpt":{"rendered":"<p>Resolu\u00e7\u00e3o Comentada Vetores \u2013 Cinem\u00e1tica Vetorial 01-\u00a0A escala gr\u00e1fica disp\u00f5e que cada cent\u00edmetro do mapa equivale a 250 quil\u00f4metros do terreno, o que facilita representar que facilita representar vetorialmente o percurso feito pelo viajante e, inclusive representar seu deslocamento vetorial (em azul). Dessa forma ele caminhou 1000 km para o Sul (dire\u00e7\u00e3o f\u00e1cil de identificar, pois o Norte est\u00e1 indicado<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":3611,"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-3613","page","type-page","status-publish","hentry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/3613","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=3613"}],"version-history":[{"count":2,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/3613\/revisions"}],"predecessor-version":[{"id":10713,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/3613\/revisions\/10713"}],"up":[{"embeddable":true,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/3611"}],"wp:attachment":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/media?parent=3613"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}