{"id":27632,"date":"2021-08-30T13:00:34","date_gmt":"2021-08-30T13:00:34","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=27632"},"modified":"2024-08-07T11:33:31","modified_gmt":"2024-08-07T11:33:31","slug":"problemas-resolvidos-de-espelhos-esfericos","status":"publish","type":"post","link":"http:\/\/toposuranos.com\/material\/pt\/problemas-resolvidos-de-espelhos-esfericos\/","title":{"rendered":"Problemas Resolvidos de Espelhos Esf\u00e9ricos"},"content":{"rendered":"<h1>Problemas Resolvidos de Espelhos Esf\u00e9ricos<\/h1>\n<p style=\"text-align: justify; color: #000000;\">Em aulas anteriores, j\u00e1 vimos toda a teoria relativa aos espelhos planos e esf\u00e9ricos, e tamb\u00e9m foram mostrados exemplos de racioc\u00ednios com espelhos planos. Agora \u00e9 hora de revisar alguns problemas resolvidos com espelhos esf\u00e9ricos. A seguir, revisaremos alguns problemas t\u00edpicos sobre espelhos esf\u00e9ricos e mostraremos suas solu\u00e7\u00f5es passo a passo.<\/p>\n<h2>Problemas de Espelhos Esf\u00e9ricos<\/h2>\n<ol style=\"text-align: justify; color: #000000;\">\n<li>Um objeto de 20[cm] est\u00e1 a 1,5[m] de um espelho c\u00f4ncavo. Se o raio de curvatura \u00e9 de 70[cm], calcule:\n<ol>\n<li type=\"a\">A posi\u00e7\u00e3o do objeto refletido e determine se ele \u00e9 real ou virtual.<\/li>\n<li type=\"a\">O fator de amplia\u00e7\u00e3o e a orienta\u00e7\u00e3o do objeto refletido.<\/li>\n<li type=\"a\">O tamanho do objeto refletido.<\/li>\n<\/ol>\n<\/li>\n<li>Um objeto de 10[cm] \u00e9 colocado a 5[cm] de um espelho convexo com um raio de curvatura de 12[cm]. Calcule:\n<ol>\n<li type=\"a\">A posi\u00e7\u00e3o do objeto refletido e determine se a imagem \u00e9 virtual ou real.<\/li>\n<li type=\"a\">O fator de amplia\u00e7\u00e3o e a orienta\u00e7\u00e3o da imagem.<\/li>\n<li type=\"a\">O tamanho do objeto refletido.<\/li>\n<\/ol>\n<\/li>\n<li>Um espelho c\u00f4ncavo com um raio de curvatura de 12[cm] \u00e9 dado. Encontre os locais onde, se um objeto for colocado, sua imagem dobrar\u00e1 de tamanho e determine se tal imagem \u00e9 real ou virtual.<\/li>\n<li>\u00c9 poss\u00edvel aumentar a imagem de um objeto usando um espelho convexo?<\/li>\n<li>Um espelho convexo com um raio de curvatura de 80[cm] tem uma superf\u00edcie \u00fatil de 60\u00b0. Determine o tamanho do maior objeto poss\u00edvel que pode ser refletido nele se colocado a uma dist\u00e2ncia de 30[cm] do v\u00e9rtice do espelho.<\/li>\n<\/ol>\n<h3>Solu\u00e7\u00f5es:<\/h3>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/gYkF1a0nqs8\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center><\/p>\n<h2>Problemas: Movimento em frente aos espelhos esf\u00e9ricos<\/h2>\n<ol style=\"text-align: justify; color: #000000;\">\n<li>Considere um espelho esf\u00e9rico com raio de curvatura R=70[cm]. Se um objeto se move com rapidez v=5[m\/s], com que rapidez se mover\u00e1 sua imagem? Assuma que a posi\u00e7\u00e3o do objeto \u00e9 s=150[cm].<\/li>\n<li>Considere um espelho convexo com raio de curvatura R=-80[cm], e um objeto com posi\u00e7\u00e3o S=10[cm]. Se o espelho se move com rapidez v=5[km\/h], com que rapidez se move a imagem?<\/li>\n<li>Considere um espelho convexo com raio de curvatura R=-150[cm]. Se uma bola est\u00e1 na posi\u00e7\u00e3o S=20[cm] e cai do repouso de uma altura h=50[cm], encontre uma f\u00f3rmula que descreva a rapidez com que a bola imagem cai no espelho.<\/li>\n<\/ol>\n<h3>Solu\u00e7\u00f5es:<\/h3>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/rX7fSD0jp4c\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/center><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Problemas Resolvidos de Espelhos Esf\u00e9ricos Em aulas anteriores, j\u00e1 vimos toda a teoria relativa aos espelhos planos e esf\u00e9ricos, e tamb\u00e9m foram mostrados exemplos de racioc\u00ednios com espelhos planos. Agora \u00e9 hora de revisar alguns problemas resolvidos com espelhos esf\u00e9ricos. A seguir, revisaremos alguns problemas t\u00edpicos sobre espelhos esf\u00e9ricos e mostraremos suas solu\u00e7\u00f5es passo a [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":27628,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"iawp_total_views":2,"footnotes":""},"categories":[637,837],"tags":[],"class_list":["post-27632","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-fisica-pt","category-optica-geometrica-pt"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Problemas Resolvidos de Espelhos Esf\u00e9ricos - toposuranos.com\/material<\/title>\n<meta name=\"description\" content=\"Revisaremos problemas resolvidos de espelhos esf\u00e9ricos, incluindo c\u00e1lculos de posi\u00e7\u00e3o, tamanho e orienta\u00e7\u00e3o, para espelhos c\u00f4ncavos e convexos.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"http:\/\/toposuranos.com\/material\/pt\/problemas-resolvidos-de-espelhos-esfericos\/\" \/>\n<meta property=\"og:locale\" content=\"es_ES\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Problemas Resolvidos de Espelhos Esf\u00e9ricos\" \/>\n<meta property=\"og:description\" content=\"Revisaremos problemas resolvidos de espelhos esf\u00e9ricos, incluindo c\u00e1lculos de posi\u00e7\u00e3o, tamanho e orienta\u00e7\u00e3o, para espelhos c\u00f4ncavos e convexos.\" \/>\n<meta property=\"og:url\" content=\"http:\/\/toposuranos.com\/material\/pt\/problemas-resolvidos-de-espelhos-esfericos\/\" \/>\n<meta property=\"og:site_name\" content=\"toposuranos.com\/material\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/groups\/toposuranos\" \/>\n<meta property=\"article:published_time\" content=\"2021-08-30T13:00:34+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2024-08-07T11:33:31+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/08\/espejoesferico.jpg\" \/>\n<meta name=\"author\" content=\"giorgio.reveco\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:title\" content=\"Problemas Resolvidos de Espelhos Esf\u00e9ricos\" \/>\n<meta name=\"twitter:description\" content=\"Revisaremos problemas resolvidos de espelhos esf\u00e9ricos, incluindo c\u00e1lculos de posi\u00e7\u00e3o, tamanho e orienta\u00e7\u00e3o, para espelhos c\u00f4ncavos e convexos.\" \/>\n<meta name=\"twitter:image\" content=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/08\/espejoesferico.jpg\" \/>\n<meta name=\"twitter:creator\" content=\"@topuranos\" \/>\n<meta name=\"twitter:site\" content=\"@topuranos\" \/>\n<meta name=\"twitter:label1\" content=\"Escrito por\" \/>\n\t<meta name=\"twitter:data1\" content=\"giorgio.reveco\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tiempo de lectura\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minuto\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"http:\/\/toposuranos.com\/material\/pt\/problemas-resolvidos-de-espelhos-esfericos\/#article\",\"isPartOf\":{\"@id\":\"http:\/\/toposuranos.com\/material\/pt\/problemas-resolvidos-de-espelhos-esfericos\/\"},\"author\":{\"name\":\"giorgio.reveco\",\"@id\":\"http:\/\/toposuranos.com\/material\/#\/schema\/person\/e15164361c3f9a2a02cf6c234cf7fdc1\"},\"headline\":\"Problemas Resolvidos de Espelhos Esf\u00e9ricos\",\"datePublished\":\"2021-08-30T13:00:34+00:00\",\"dateModified\":\"2024-08-07T11:33:31+00:00\",\"mainEntityOfPage\":{\"@id\":\"http:\/\/toposuranos.com\/material\/pt\/problemas-resolvidos-de-espelhos-esfericos\/\"},\"wordCount\":391,\"commentCount\":0,\"publisher\":{\"@id\":\"http:\/\/toposuranos.com\/material\/#organization\"},\"image\":{\"@id\":\"http:\/\/toposuranos.com\/material\/pt\/problemas-resolvidos-de-espelhos-esfericos\/#primaryimage\"},\"thumbnailUrl\":\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/08\/espejoesferico.jpg\",\"articleSection\":[\"F\u00edsica\",\"\u00d3ptica Geom\u00e9trica\"],\"inLanguage\":\"es\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"http:\/\/toposuranos.com\/material\/pt\/problemas-resolvidos-de-espelhos-esfericos\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"http:\/\/toposuranos.com\/material\/pt\/problemas-resolvidos-de-espelhos-esfericos\/\",\"url\":\"http:\/\/toposuranos.com\/material\/pt\/problemas-resolvidos-de-espelhos-esfericos\/\",\"name\":\"Problemas Resolvidos de Espelhos Esf\u00e9ricos - 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