{"id":10861,"date":"2022-05-13T09:00:00","date_gmt":"2022-05-13T12:00:00","guid":{"rendered":"https:\/\/professorpinguim.com.br\/blog\/?p=10861"},"modified":"2023-08-06T21:00:35","modified_gmt":"2023-08-07T00:00:35","slug":"questoes-sobre-equacoes-em-espelhos-esfericos","status":"publish","type":"post","link":"https:\/\/professorpinguim.com.br\/blog\/questoes-sobre-equacoes-em-espelhos-esfericos\/","title":{"rendered":"Quest\u00f5es sobre Equa\u00e7\u00f5es em Espelhos Esf\u00e9ricos"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Ol\u00e1, tudo bem pessoal? Hoje vamos estudar alguns exerc\u00edcios sobre equa\u00e7\u00f5es em espelhos esf\u00e9ricos. Acompanhe e bons estudos! <\/p>\n\n\n\n<!--more-->\n\n\n\n<h2 class=\"wp-block-heading\">Exerc\u00edcios sobre Espelhos esf\u00e9ricos &#8211; Equa\u00e7\u00f5es <\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Quest\u00e3o 1. (Ita 2022)&nbsp;<\/strong> Uma lente delgada convergente, com dist\u00e2ncia focal de 5 cm, \u00e9 alinhada \u00e0 frente de um espelho c\u00f4ncavo, de dist\u00e2ncia focal de 2 cm, de forma a compartilhar o mesmo eixo \u00f3ptico. Seja x = 0 a posi\u00e7\u00e3o do v\u00e9rtice do espelho e x = 8 cm a posi\u00e7\u00e3o da lente. Quais as posi\u00e7\u00f5es entre os elementos \u00f3pticos em que se pode colocar um objeto de forma que nenhuma imagem seja formada na regi\u00e3o x &gt; 8 cm?&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/V6awPbQ2jTbmOyM9_mCCp_GaHnZKyimOD8kYEaRpU00Y19EKRN-Pw-cRx9D97x3vXIy4pxxVSoFrbGjWHt-jXvobPsZF-_ySZXCx7tevDVQp1KH9ro4ZmQU-AEZlBo8IFqn4yq1QhI9vZlYc2w\" alt=\"\" width=\"223\" height=\"161\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Resposta 1:<\/strong>[B]<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/kGqeuEKo3pjmj-yxTBSNXaJrkeYU5EiKEio3-Lbc24BHm4MP_-2u7OwA57NBqq5GUzOV6WBA1rmKnbQMqSsTFzVfCPPG7Yp2CiKfhFxIMkqcmYfsJBvadZQ69T61F_bMhQA1Du-_RH76V0OxAQ\" alt=\"\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/EhlOfUfmZbVKkhExF2zbXHnxXyVx2l2YN1Rs1uBr4AE9nDuM6OMQZW6zM5nliMtXLrcqYcy0_E35TiyBN7ui2Pm8etPW1EjHM0hVJKEm_NvIlrJrJfeg1HjLMy1CxA1lX7tyOjv0xxdwVTovDQ\" alt=\"\"\/><\/figure>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Quest\u00e3o 2.<\/strong> <strong>(Unesp 2022) <\/strong>Uma garota pegou um espelho esf\u00e9rico c\u00f4ncavo de maquiagem, apontou-o para o Sol e percebeu que uma imagem real desse astro se formou a 40 cm do espelho.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/CkwwyG2LaBe-VMUlbUk-KgEvD8eajxxHcrei7WSv-5uFw-abYkkS5UtG6MOitlrVWiEEygMUyjjeANdm_ONKSs0tLp7IU4cEo5EeHNepnmsDx7HmhPBuQ2DNZnGgqToA8sEezVExzEv1kgsddw\" alt=\"\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Em seguida, fez-se a pergunta:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u2013 Se, com esse espelho, eu quiser ver uma imagem do meu rosto com duas vezes seu tamanho real e n\u00e3o invertida, a que dist\u00e2ncia do espelho devo me posicionar?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Depois de efetuar alguns c\u00e1lculos, a garota acertar\u00e1 a resposta \u00e0 sua pergunta se encontrar<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">a) 30 cm.&nbsp;&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">b) 25 cm.&nbsp;&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">c) 15 cm.&nbsp;&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">d) 20 cm.&nbsp;&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">e) 35 cm.&nbsp;&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>&nbsp;Resposta 2: <\/strong>D<\/p>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img fetchpriority=\"high\" decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/VXFXKqjKOxb-OeMgFRZ86ptLcOk92QfXvKTLcqqIQv9IHB48zXBctYubiyaBBP50QC3H54YkWMNNovW_Es-L_lzUBSMyd2UM1O_6iZ-d2yYxJLUBQEVomkjd_pZQeKLqt5yQw0-JocsvKnb-zg\" alt=\"\" width=\"639\" height=\"193\"\/><\/figure>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Quest\u00e3o 3. (Unesp 2022)<\/strong> Um objeto linear AB \u00e9 colocado perpendicularmente ao eixo principal de um espelho esf\u00e9rico convexo, a uma dist\u00e2ncia d do v\u00e9rtice desse espelho. A figura mostra um raio de luz (R) proveniente da extremidade A do objeto e a imagem A\u2019 desse ponto.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/2dAWe2XU4uriMbTfDA1Y1y9Ck6BWXIEm6zirfxWeSghy576rL-dgj-34vV6eqSTC275MiBWCBuGQrNidMuJZPm5nh74rut2-tr0vMe5MFFN_20Lj3dOGEpVPcYen1VgcvuECbM68ZL_eU1nPfw\" alt=\"\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Considerando as dimens\u00f5es indicadas na figura, a dist\u00e2ncia d \u00e9 igual a:&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/dV57K3lrSDoC3_XYkzp4yhx4iufWCg2SuFsXawutDTjkursaVVZKDBu_HPi802jke-8YJj8_g_jAqqM76yqhGfsi2ybpZiQjgBhJT70-EqI5SJFK8OKNCf9kTWCfATTuPAvJKvyFvPMVkngZxA\" alt=\"\" width=\"105\" height=\"285\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Resposta 3: <\/strong>D<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/bL7WVfc98gjpq4j24qoESDzHF7X1OcsKOSFxHIeWCvFn2yTeUThXRakH1so46BNa84sRTKO94fSS4zBiC1mnLu0sR63SdJ3hafHsFQkKQOLG9VDiwx9d1gVaiVQ0_rZwuF-_plAFYGB4976zoA\" alt=\"\"\/><\/figure>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Qu\u02dcest\u00e3o 4. (Famema 2022)<\/strong> Dois espelhos esf\u00e9ricos, ambos de raios de curvatura iguais a 40 cm, sendo um c\u00f4ncavo e outro convexo, de mesmo eixo principal, est\u00e3o frente a frente. Entre eles h\u00e1 uma vela disposta perpendicularmente ao eixo principal numa posi\u00e7\u00e3o tal que as imagens conjugadas pelos espelhos t\u00eam, ambas, metade do tamanho da vela.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A dist\u00e2ncia entre os v\u00e9rtices dos espelhos \u00e9 de<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">a) 50 cm.&nbsp;&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">b) 60 cm.&nbsp;&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">c) 80 cm.&nbsp;&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">d) 100 cm.&nbsp;&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">e) 120 cm.&nbsp;&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Resposta 4: <\/strong>C<\/p>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/Y2ncwXW3ghIHY4Nv0ZiWEkaTuvj9ABNmKFWhgNWt0dJvGuGK3Zu6Z75qUBjR_7rV7rEEQX2o6If4PknWZn-Nioe1eCP7iL4YNJCEYH7VE6knN-4ZMd9PT8SuVfxzpezmBJdNLZmzrTQXBF62vQ\" alt=\"\" width=\"664\" height=\"228\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/9R7k51HkExrY1EBpAyhigv_kcT5KsWtOcNcWaof_9rlLazWX3pI65qnWBhkN9WZL-VXkBMbli3yr0uAEzbVDF10qAQwziFRRzNEQaE77eX0ibM7zZWHWPmh5RJysZME9pGLcFfAyH31KeKO8bw\" alt=\"\" width=\"323\" height=\"280\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/KD1sxjz1XzUChf9aFLxAL6Isgjb6lA1IKHXzAcgmJGl1yRXxPQqQK1CdDTOms_qzq5SsxcdHHTIydakQgQJ9eTikyjah6_3cN-pKAbx4LfKnY3vexds4lCZN_Wt5lxnlnDVBDWmLfB58Vh7kfA\" alt=\"\" width=\"323\" height=\"281\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/I0qj1XWOd_oPjtR7NnTT2p8EcssPlKVM0UH7BFoSzStRSMbbeDALOlCC3FibcJP7JNWAj4ag1VgXUOjeQDJWmY2fjdDpR7R3pGyh5W8G_RAvb7ZN6a3clwtgRQlSifqUUHZvXzz_o8IjbEzHMg\" alt=\"\" width=\"488\" height=\"71\"\/><\/figure>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Quest\u00e3o 5. (Espcex (Aman))<\/strong> Uma jovem, para fazer sua maquiagem, comprou um espelho esf\u00e9rico de Gauss. Ela observou que, quando o seu rosto est\u00e1 a&nbsp; do espelho, a sua imagem \u00e9 direita e tr\u00eas vezes maior do que o tamanho do rosto.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">O tipo de espelho comprado pela jovem e o seu raio de curvatura s\u00e3o, respectivamente,<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">a) c\u00f4ncavo e maior do que<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">b) convexo e maior do que &nbsp;&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">c) c\u00f4ncavo e igual a &nbsp;&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">d) c\u00f4ncavo e menor do que &nbsp;&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">e) convexo e menor do que &nbsp;&nbsp;&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Resposta 5: <\/strong>A<\/p>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/uZV2-o2AJT9x6O8Tj8miFJ40a3tVxd7ka5ywulGroTEn_G85oqyTfcPL9yKqQmITxnRPmi9N3Rq3QnnAel-X0ndEBZFPpoBG1FHhXGWExUSxvAfMMGGrY4XmsilbNCkgcI0114wBEEEIYc3rZw\" alt=\"\" width=\"694\" height=\"409\"\/><\/figure>\n\n\n\n<hr class=\"wp-block-separator\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">Espero que voc\u00ea tenha entendido um pouco melhor sobre&nbsp;<strong>Equa\u00e7\u00f5es em Espelhos Esf\u00e9ricos<\/strong>. E se quiser ajuda para melhorar seu n\u00edvel de F\u00edsica em outras mat\u00e9rias,&nbsp;<strong><a href=\"https:\/\/professorpinguim.com.br\/\">entre em contato comigo e escolha o curso de F\u00edsica mais adequado para voc\u00ea<\/a>!<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"https:\/\/conteudo.professorpinguim.com.br\/curso-de-fisica-gratuito\" target=\"_blank\" rel=\"noopener noreferrer\"><img decoding=\"async\" src=\"https:\/\/professorpinguim.com.br\/blog\/wp-content\/uploads\/2022\/05\/curso-fisica-professor-pinguim.png\" alt=\"Curso de F\u00edsica Gr\u00e1tis do Professor Pinguim\" class=\"wp-image-11364\"\/><\/a><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>SAIBA MAIS<\/strong><br><strong>\u2705&nbsp;<\/strong><a rel=\"noreferrer noopener\" href=\"https:\/\/professorpinguim.com.br\/blog\/reflexao-da-luz-em-espelho-esfericos\/\" target=\"_blank\">Revis\u00e3o te\u00f3rica sobre espelhos esf\u00e9ricos<\/a><br>\u2705&nbsp;<a rel=\"noreferrer noopener\" href=\"https:\/\/professorpinguim.com.br\/blog\/resumo-com-exercicios-sobre-energia-interna-e-trabalho-da-forca-de-um-gas\/\" target=\"_blank\">Exerc\u00edcios de Energia interna e trabalho<\/a><br>\u2705&nbsp;<a rel=\"noreferrer noopener\" href=\"https:\/\/professorpinguim.com.br\/blog\/revisao-com-exercicio-sobre-gases-ideias\/\" target=\"_blank\">Exerc\u00edcios resolvido para treinar: G\u00e1s ideal<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Me acompanhe nas redes sociais: curta a minha&nbsp;<a href=\"https:\/\/www.facebook.com\/professorpinguim\/\"><strong>p\u00e1gina no Facebook<\/strong><\/a><strong>,<\/strong>&nbsp;me&nbsp;siga no&nbsp;<a href=\"https:\/\/www.instagram.com\/professorpinguim\/\"><strong>Instagram<\/strong><\/a><strong>,<\/strong>&nbsp;se inscreva no&nbsp;<a href=\"https:\/\/www.youtube.com\/c\/PinguimV%C3%ADdeoF%C3%ADsica\/?sub_confirmation=1\"><strong>Youtube<\/strong><\/a>&nbsp;e participe do meu canal oficial no&nbsp;<a href=\"https:\/\/professorpinguim.com.br\/telegram\"><strong>Telegram<\/strong><\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Ol\u00e1, tudo bem pessoal? Hoje vamos estudar alguns exerc\u00edcios sobre equa\u00e7\u00f5es em espelhos esf\u00e9ricos. Acompanhe e bons estudos! <\/p>\n","protected":false},"author":1,"featured_media":10863,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[744,764,228,656],"tags":[717,881,211,217],"class_list":["post-10861","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-exercicios-resolvidos","category-ondas","category-optica","category-termologia","tag-equacoes","tag-espelhos-esfericos","tag-exercicios","tag-exercicios-resolvidos"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.12 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Quest\u00f5es sobre Equa\u00e7\u00f5es em Espelhos Esf\u00e9ricos - Professor Pinguim | F\u00edsica<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/professorpinguim.com.br\/blog\/questoes-sobre-equacoes-em-espelhos-esfericos\/\" \/>\n<meta property=\"og:locale\" content=\"pt_BR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Quest\u00f5es sobre Equa\u00e7\u00f5es em Espelhos Esf\u00e9ricos - Professor Pinguim | F\u00edsica\" \/>\n<meta property=\"og:description\" content=\"Ol\u00e1, tudo bem pessoal? 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