{"id":4083,"date":"2018-07-20T17:52:59","date_gmt":"2018-07-20T17:52:59","guid":{"rendered":"http:\/\/fisicaevestibular.com.br\/novo\/?page_id=4083"},"modified":"2024-08-22T12:45:41","modified_gmt":"2024-08-22T12:45:41","slug":"cinematica-9-vetores","status":"publish","type":"page","link":"https:\/\/fisicaevestibular.com.br\/novo\/formulario\/cinematica-9-vetores\/","title":{"rendered":"Cinem\u00e1tica 9 – Vetores"},"content":{"rendered":"

Formul\u00e1rio completo de F\u00edsica com informa\u00e7\u00f5es \u00fateis <\/b><\/span><\/span><\/span><\/p>\n

(dicas para vestibulares)<\/b><\/span><\/span><\/span><\/p>\n

Cinem\u00e1tica 9<\/b><\/span><\/span><\/span><\/p>\n

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

Caracter\u00edsticas de um vetor<\/b><\/span><\/span><\/span><\/p>\n

\u00a0<\/span>Dire\u00e7\u00e3o<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>localiza\u00e7\u00e3o no espa\u00e7o<\/b><\/span><\/span><\/span>, fornecida pela\u00a0<\/b><\/span><\/span><\/span>reta suporte (S) do segmento<\/b><\/span><\/span><\/span>. Exemplos:<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

<\/p>\n

\u00a0<\/span>Sentido<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>dado pela seta<\/b><\/span><\/span><\/span>.\u00a0<\/b><\/span><\/span><\/span>Exemplos:<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

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

Intensidade ou m\u00f3dulo<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>composto pelo n\u00famero e pela unidade de medida<\/b><\/span><\/span><\/span>, ou seja, pelo\u00a0<\/b><\/span><\/span><\/span>comprimento do segmento, numa certa escala adotada.\u00a0<\/b><\/span><\/span><\/span>A\u00a0<\/b><\/span><\/span><\/span>intensidade de um vetor\u00a0<\/b><\/span><\/span><\/span>\u00a0costuma ser representada por\u00a0P\u00a0(sem a seta) ou por\u00a0<\/b><\/span><\/span><\/span>e l\u00ea-se \u201cintensidade ou m\u00f3dulo do vetor\u00a0<\/b><\/span><\/span><\/span>\u201d<\/b><\/span><\/span><\/span><\/p>\n

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

<\/p>\n

Informa\u00e7\u00f5es \u00dateis (Dicas)<\/b><\/span><\/span><\/span><\/p>\n

\u00a0Na\u00a0<\/b><\/span><\/span><\/span>intensidade<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>n\u00e3o se deve escrever<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>\u00a0= 20m\/s, mas\u00a0<\/b><\/span><\/span><\/span>sim V = 20m\/s (sem a seta)<\/b><\/span><\/span><\/span><\/p>\n

\u00a0Um\u00a0<\/b><\/span><\/span><\/span>vetor nulo<\/b><\/span><\/span><\/span>\u00a0deve ser representado da seguinte maneira\u00a0<\/b><\/span><\/span><\/span>=<\/b><\/span><\/span><\/span><\/p>\n

A\u00a0<\/b><\/span><\/span><\/span>dire\u00e7\u00e3o<\/b><\/span><\/span><\/span>\u00a0de um vetor tamb\u00e9m pode ser definida como sendo o\u00a0<\/b><\/span><\/span><\/span>\u00e2ngulo que ele forma com a horizontal ou a vertical.<\/b><\/span><\/span><\/span><\/p>\n

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

Determine a\u00a0<\/b><\/span><\/span><\/span>intensidade (no SI), dire\u00e7\u00e3o e sentido do vetor\u00a0<\/b><\/span><\/span><\/span>\u00a0da figura abaixo<\/b><\/span><\/span><\/span>.<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

\u00a0<\/span>Adi\u00e7\u00e3o de vetores<\/b><\/span><\/span><\/span><\/p>\n

M\u00e9todo da linha poligonal<\/b><\/span><\/span><\/span><\/p>\n

Dados os\u00a0<\/b><\/span><\/span><\/span>vetores abaixo,<\/b><\/span><\/span><\/span>\u00a0determine o\u00a0<\/b><\/span><\/span><\/span>vetor soma (vetor resultante<\/b><\/span><\/span><\/span>)\u00a0<\/b><\/span><\/span><\/span>\u00a0pelo\u00a0<\/b><\/span><\/span><\/span>m\u00e9todo da linha poligonal:<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

<\/p>\n

Esse\u00a0<\/b><\/span><\/span><\/span>m\u00e9todo\u00a0<\/b><\/span><\/span><\/span>\u00e9 mais\u00a0<\/b><\/span><\/span><\/span>utilizado<\/b><\/span><\/span><\/span>\u00a0quando se est\u00e1\u00a0<\/b><\/span><\/span><\/span>interessado\u00a0<\/b><\/span><\/span><\/span>apenas na <\/b><\/span><\/span><\/span>orienta\u00e7\u00e3o (dire\u00e7\u00e3o e sentido)<\/b><\/span><\/span><\/span>\u00a0do\u00a0<\/b><\/span><\/span><\/span>vetor soma (resultante)\u00a0<\/b><\/span><\/span><\/span>.<\/b><\/span><\/span><\/span><\/p>\n

\u00a0Dados os\u00a0<\/b><\/span><\/span><\/span>vetores abaixo<\/b><\/span><\/span><\/span>, determine o\u00a0<\/b><\/span><\/span><\/span>vetor soma (vetor resultante)<\/b><\/span><\/span><\/span>pelo m\u00e9todo da linha<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>poligonal:<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

Se, na\u00a0<\/b><\/span><\/span><\/span>adi\u00e7\u00e3o de vetores<\/b><\/span><\/span><\/span>, a\u00a0<\/b><\/span><\/span><\/span>extremidade do \u00faltimo<\/b><\/span><\/span><\/span>\u00a0<\/b><\/span><\/span><\/span>coincidir com a\u00a0<\/b><\/span><\/span><\/span>origem do primeiro<\/b><\/span><\/span><\/span>, o resultado \u00e9 um\u00a0<\/b><\/span><\/span><\/span>vetor nulo (<\/b><\/span><\/span><\/span>).<\/b><\/span><\/span><\/span><\/p>\n

M\u00e9todo do paralelogramo<\/b><\/span><\/span><\/span><\/p>\n

Explicando com um\u00a0<\/b><\/span><\/span><\/span>exemplo:<\/b><\/span><\/span><\/span><\/p>\n

Dados os\u00a0<\/b><\/span><\/span><\/span>vetores abaixo,<\/b><\/span><\/span><\/span>\u00a0determine o\u00a0<\/b><\/span><\/span><\/span>vetor soma (resultante)\u00a0<\/b><\/span><\/span><\/span>pelo m\u00e9todo do\u00a0<\/b><\/span><\/span><\/span>paralelogramo.<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

\u00a0Coloque a\u00a0<\/b><\/span><\/span><\/span>origem dos dois vetores em um mesmo ponto<\/b><\/span><\/span><\/span>\u00a0e, em seguida,<\/b><\/span><\/span><\/span>trace pelas extremidades de cada um deles, uma paralela ao outro, com linha pontilhada.\u00a0\u00a0<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

Unindo os pontos indicados<\/b><\/span><\/span><\/span>\u00a0e colocando a\u00a0<\/b><\/span><\/span><\/span>seta conforme a figura acima<\/b><\/span><\/span><\/span>, voc\u00ea obter\u00e1 o\u00a0<\/b><\/span><\/span><\/span>vetor<\/b><\/span><\/span><\/span>\u00a0que \u00e9 o vetor\u00a0soma ou o vetor resultante.<\/b><\/span><\/span><\/span><\/p>\n

Sendo\u00a0<\/b><\/span><\/span><\/span>\u03b2<\/b><\/span><\/span><\/span>\u00a0o \u00e2ngulo\u00a0<\/b><\/span><\/span><\/span>entre os dois vetores<\/b><\/span><\/span><\/span>, pode-se determinar o\u00a0<\/b><\/span><\/span><\/span>m\u00f3dulo ou intensidade do vetor\u00a0<\/b><\/span><\/span><\/span>\u00a0pela lei dos cossenos:<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

<\/p>\n

Subtra\u00e7\u00e3o de vetores<\/b><\/span><\/span><\/span><\/p>\n

Dois vetores s\u00e3o\u00a0<\/b><\/span><\/span><\/span>opostos\u00a0<\/b><\/span><\/span><\/span>quando t\u00eam a\u00a0<\/b><\/span><\/span><\/span>mesma intensidade, mesma dire\u00e7\u00e3o, mas\u00a0<\/b><\/span><\/span><\/span>sentidos contr\u00e1rios.<\/b><\/span><\/span><\/span><\/p>\n

Subtrair<\/b><\/span><\/span><\/span>\u00a0um vetor \u00e9\u00a0<\/b><\/span><\/span><\/span>som\u00e1-lo ao oposto do outro.<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

<\/p>\n

<\/p>\n

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

Dado o\u00a0<\/b><\/span><\/span><\/span>vetor\u00a0<\/b><\/span><\/span><\/span>\u00a0de\u00a0<\/b><\/span><\/span><\/span>intensidade V=3 unidades (3u),<\/b><\/span><\/span><\/span>\u00a0pede-se:<\/b><\/span><\/span><\/span><\/p>\n

<\/p>\n

<\/p>\n","protected":false},"excerpt":{"rendered":"

Formul\u00e1rio completo de F\u00edsica com informa\u00e7\u00f5es \u00fateis (dicas para vestibulares) Cinem\u00e1tica 9 Vetores Caracter\u00edsticas de um vetor \u00a0Dire\u00e7\u00e3o\u00a0\u00a0localiza\u00e7\u00e3o no espa\u00e7o, fornecida pela\u00a0reta suporte (S) do segmento. Exemplos: \u00a0Sentido\u00a0\u00a0dado pela seta.\u00a0Exemplos: \u00a0 Intensidade ou m\u00f3dulo\u00a0\u00a0composto pelo n\u00famero e pela unidade de medida, ou seja, pelo\u00a0comprimento do segmento, numa certa escala adotada.\u00a0A\u00a0intensidade de um vetor\u00a0\u00a0costuma ser representada por\u00a0P\u00a0(sem a seta) ou por\u00a0e<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":3987,"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-4083","page","type-page","status-publish","hentry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/4083","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=4083"}],"version-history":[{"count":1,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/4083\/revisions"}],"predecessor-version":[{"id":4084,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/4083\/revisions\/4084"}],"up":[{"embeddable":true,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/3987"}],"wp:attachment":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/media?parent=4083"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}