{"id":2626,"date":"2016-11-11T02:38:24","date_gmt":"2016-11-11T02:38:24","guid":{"rendered":"http:\/\/fisicaevestibular.com.br\/novo\/?page_id=2626"},"modified":"2024-09-02T15:00:06","modified_gmt":"2024-09-02T15:00:06","slug":"espelhos-esfericos-resolucao","status":"publish","type":"page","link":"https:\/\/fisicaevestibular.com.br\/novo\/raciocinio-logico\/espelhos-esfericos\/espelhos-esfericos-resolucao\/","title":{"rendered":"Espelhos Esf\u00e9ricos &#8211; Resolu\u00e7\u00e3o"},"content":{"rendered":"<p align=\"CENTER\"><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #c00000;\"><span style=\"font-family: Arial Black,serif;\"><span style=\"font-size: large;\"><b>Resolu\u00e7\u00f5es comentadas de exerc\u00edcios de vestibulares sobre <\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n<p align=\"CENTER\"><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #0000cc;\"><span style=\"font-family: Arial Black,serif;\"><span style=\"font-size: large;\"><b>Espelhos Esf\u00e9ricos<\/b><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #c00000;\"><span style=\"font-family: Arial Black,serif;\"><b>01-<\/b><\/span><\/span><span style=\"color: #c00000;\"><span style=\"font-family: Arial,serif;\"><b>\u00a0<\/b><\/span><\/span><\/span><\/span><\/p>\n<p><img fetchpriority=\"high\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/raclogico\/espelhosesfericos\/i_a6650bacd6a71bf0_html_47e39404.png\" alt=\"\" width=\"432\" height=\"192\" name=\"Imagem 63\" align=\"LEFT\" border=\"0\" hspace=\"12\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>Todo raio de luz que incide no espelho c\u00f4ncavo passando pelo foco (ou sendo emitido nele) atinge o espelho e\u00a0retorna paralelamente ao eixo principal\u00a0\u00a0&#8212;\u00a0\u00a0<\/b><\/span><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>R- B.<\/b><\/span><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #0000cc;\">\u00a0<\/span><\/p>\n<p><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #c00000;\"><span style=\"font-family: Arial Black,serif;\"><b>02-<\/b><\/span><\/span><span style=\"color: #c00000;\"><span style=\"font-family: Arial,serif;\"><b>\u00a0<\/b><\/span><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>O objeto (l\u00e2mpada) est\u00e1 sob a caixa e sobre o centro de curvatura do espelho e nessas <\/b><\/span><\/span><\/span><\/span><\/p>\n<p align=\"CENTER\"><img decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/raclogico\/espelhosesfericos\/i_a6650bacd6a71bf0_html_eb62990f.png\" alt=\"\" width=\"535\" height=\"279\" name=\"Imagem 64\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>condi\u00e7\u00f5es a imagem ser\u00e1\u00a0 real, do mesmo tamanho que o objeto e estar\u00e1 sobre ele\u00a0\u00a0&#8212;\u00a0\u00a0objeto e imagem s\u00e3o id\u00eanticos e ter\u00e3o o mesmo brilho (mesma pot\u00eancia de 40W)\u00a0\u00a0&#8212; \u00a0<\/b><\/span><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>R- A.<\/b><\/span><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #0000cc;\">\u00a0<\/span><\/p>\n<p><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #c00000;\"><span style=\"font-family: Arial Black,serif;\"><b>03-<\/b><\/span><\/span><b> <\/b><span style=\"color: #0000cc;\"><span style=\"font-family: Arial Black,serif;\"><b>a)<\/b><\/span><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b> Convexo\u00a0\u00a0&#8212;\u00a0\u00a0veja teoria abaixo:<\/b><\/span><\/span><\/span><\/span><\/p>\n<p><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>Espelho convexo &#8212; Para qualquer localiza\u00e7\u00e3o do objeto<\/b><\/span><\/span><\/span><\/span><\/p>\n<p><img decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/raclogico\/espelhosesfericos\/i_a6650bacd6a71bf0_html_523f86aa.png\" alt=\"\" width=\"776\" height=\"309\" name=\"Imagem 65\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><span style=\"color: #0000cc;\">\u00a0<\/span><\/p>\n<p><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>Para qualquer posi\u00e7\u00e3o do objeto, a imagem ter\u00e1 sempre:<\/b><\/span><\/span><\/span><\/span><\/p>\n<p><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>Natureza \u2013 virtual<\/b><\/span><\/span><\/span><\/span><\/p>\n<p><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>Localiza\u00e7\u00e3o \u2013 atr\u00e1s do espelho e entre V e F e observe que \u00e0 medida que o objeto se aproxima do espelho, a imagem tamb\u00e9m se aproxima e aumenta de tamanho, mas est\u00e1 sempre entre V e F..<\/b><\/span><\/span><\/span><\/span><\/p>\n<p><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>Tamanho \u2013 menor que o do objeto<\/b><\/span><\/span><\/span><\/span><\/p>\n<p><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>Orienta\u00e7\u00e3o \u2013 direita em rela\u00e7\u00e3o ao objeto<\/b><\/span><\/span><\/span><\/span><\/p>\n<p><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>Utilidades: Os espelhos convexos s\u00e3o empregados como retrovisores em ve\u00edculos, cabines de seguran\u00e7a, elevadores, etc. Sua vantagem sobre o espelho plano, nesse particular, \u00e9 ter maior campo visual. T\u00eam, entretanto, o inconveniente de n\u00e3o darem no\u00e7\u00e3o da dist\u00e2ncia.<\/b><\/span><\/span><\/span><\/span><\/p>\n<p><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #0000cc;\"><span style=\"font-family: Arial Black,serif;\"><b>b) e c)<\/b><\/span><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>\u00a0Um dos processos:\u00a0<\/b><\/span><\/span><\/span><\/span><\/p>\n<p><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>01 \u2013 Inverter o objeto e tra\u00e7ar a reta que une P com A\u2019 (figura 1)&#8212;\u00a0\u00a0justificativa \u201ctodo raio de luz que incide no<\/b><\/span><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #0000cc;\">\u00a0<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/raclogico\/espelhosesfericos\/i_a6650bacd6a71bf0_html_ff0cf3d8.png\" alt=\"\" width=\"777\" height=\"263\" name=\"Imagem 66\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>v\u00e9rtice do espelho retorna formando o mesmo \u00e2ngulo com o eixo principal\u201d\u00a0\u00a0&#8212;\u00a0\u00a0observe que no ponto onde essa reta corta o eixo principal est\u00e1 o v\u00e9rtice do espelho e o mesmo.<\/b><\/span><\/span><\/span><\/span><\/p>\n<p><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>02- Tra\u00e7ar um raio de lua que, incidindo paralelamente ao eixo principal atinge o espelho num ponto Q e sofre reflex\u00e3o<\/b><\/span><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #0000cc;\">\u00a0<\/span><\/p>\n<p><span style=\"color: #0000cc;\">\u00a0<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/raclogico\/espelhosesfericos\/i_a6650bacd6a71bf0_html_b1f3d105.png\" alt=\"\" width=\"781\" height=\"347\" name=\"Imagem 67\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>de modo que o prolongamento do raio refletido tangencie A\u2019 e atinja o foco f do espelho sobre o eixo principal\u00a0\u00a0&#8212;\u00a0\u00a0justificativa\u00a0\u00a0&#8212;\u00a0\u00a0\u201ctodo raio de luz que incide paralelamente ao eixo principal sofre reflex\u00e3o de maneira que o prolongamento do raio refletido passa\u00a0\u00a0pelo foco f\u201d (figura 2).<\/b><\/span><\/span><\/span><\/span><\/p>\n<p><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>A figura 3 mostra todo o procedimento da obten\u00e7\u00e3o da imagem fornecida pelo espelho esf\u00e9rico convexo.<\/b><\/span><\/span><\/span><\/span><\/p>\n<p align=\"CENTER\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/raclogico\/espelhosesfericos\/i_a6650bacd6a71bf0_html_49f58345.png\" alt=\"\" width=\"591\" height=\"251\" name=\"Imagem 68\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><span style=\"color: #0000cc;\">\u00a0<\/span><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #c00000;\"><span style=\"font-family: Arial Black,serif;\"><b>04-<\/b><\/span><\/span><span style=\"color: #c00000;\"><span style=\"font-family: Arial,serif;\"><b>\u00a0<\/b><\/span><\/span><\/span><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/raclogico\/espelhosesfericos\/i_a6650bacd6a71bf0_html_60f33281.png\" alt=\"\" width=\"526\" height=\"272\" name=\"Imagem 69\" align=\"LEFT\" border=\"0\" hspace=\"12\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>Observe na figura abaixo que P\u2019 est\u00e1 exatamente abaixo de P e com o mesmo tamanho (sob e sobre <\/b><\/span><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial Black,serif;\"><b>C<\/b><\/span><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>) e usando os\u00a0dois raios not\u00e1veis foi localizado Q\u2019\u00a0\u00a0&#8212;\u00a0\u00a0<\/b><\/span><\/span><\/span><\/span><\/p>\n<p><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>R- D.<\/b><\/span><\/span><\/span><\/span><\/p>\n<p><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #c00000;\"><span style=\"font-family: Arial Black,serif;\"><b>05<\/b><\/span><\/span><span style=\"color: #c00000;\"><span style=\"font-family: Arial Black,serif;\"><b>&#8211;<\/b><\/span><\/span><b> <\/b><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>Quanto mais pr\u00f3ximo do foco maior ser\u00e1 a concentra\u00e7\u00e3o de raios luminosos e maior ser\u00e1 o aquecimento&#8212;\u00a0\u00a0maior temperatura P<\/b><\/span><\/span><span style=\"color: #0000cc;\"><sub><span style=\"font-family: Arial,serif;\"><b>4<\/b><\/span><\/sub><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>\u00a0(no foco). P<\/b><\/span><\/span><span style=\"color: #0000cc;\"><sub><span style=\"font-family: Arial,serif;\"><b>5<\/b><\/span><\/sub><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>\u00a0e P<\/b><\/span><\/span><span style=\"color: #0000cc;\"><sub><span style=\"font-family: Arial,serif;\"><b>3<\/b><\/span><\/sub><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>\u00a0est\u00e3o eq\u00fcidistantes e ter\u00e3o mesma temperatura e a menor temperatura \u00e9 P<\/b><\/span><\/span><span style=\"color: #0000cc;\"><sub><span style=\"font-family: Arial,serif;\"><b>1<\/b><\/span><\/sub><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>\u00a0(mais afastada do foco).\u00a0 &#8212;\u00a0\u00a0<\/b><\/span><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>R \u2013 B.<\/b><\/span><\/span><\/span><\/span><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #c00000;\"><span style=\"font-family: Arial Black,serif;\"><b>06-<\/b><\/span><\/span><span style=\"color: #c00000;\"><span style=\"font-family: Arial,serif;\"><b>\u00a0<\/b><\/span><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>Para que os raios retornem paralelos a l\u00e2mpada L deve estar no foco de E\u2019 (todo raio de luz que incide passando pelo foco retorna paralelamente ao eixo principal) e no centro de curvatura de E\u2019\u2019 ( todo raio de luz que incide passando pelo centro de curvatura\u00a0 retorna sobre ele mesmo).<\/b><\/span><\/span><\/span><\/span><\/p>\n<p align=\"CENTER\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/raclogico\/espelhosesfericos\/i_a6650bacd6a71bf0_html_af56432e.png\" alt=\"\" width=\"435\" height=\"236\" name=\"Imagem 70\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>Assim, todo raio de luz que emerge \u00e0 esquerda de L e incide sobre E\u2019\u2019 retorna sobre si mesmo, passa pelo foco de E\u2019 e retorna novamente de forma paralela\u00a0\u00a0&#8212;\u00a0\u00a0<\/b><\/span><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>R- E.<\/b><\/span><\/span><\/span><\/span><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #c00000;\"><span style=\"font-family: Arial Black,serif;\"><b>07-<\/b><\/span><\/span><span style=\"color: #c00000;\"><span style=\"font-family: Arial,serif;\"><b>\u00a0<\/b><\/span><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>Nossos olhos est\u00e3o acostumados com imagens em espelhos planos, onde imagens de objetos mais distantes nos parecem cada vez menores\u00a0 &#8212;\u00a0 esse condicionamento \u00e9 levado para o espelho convexo\u00a0 &#8212;\u00a0 o fato de a imagem ser menor que o objeto \u00e9 interpretado pelo c\u00e9rebro como se o objeto estivesse mais distante do que realmente est\u00e1\u00a0 &#8212;\u00a0 essa falsa impress\u00e3o \u00e9 desfeita quando o motorista est\u00e1, por exemplo, dando marcha a r\u00e9 em uma garagem, vendo apenas a imagem dessa parede pelo espelho convexo\u00a0 &#8212;\u00a0 ele para o carro quando percebe pela imagem do espelho convexo que est\u00e1 quase batendo na parede\u00a0 &#8212;\u00a0 ao olhar para tr\u00e1s, por vis\u00e3o direta, ele percebe que n\u00e3o estava t\u00e3o pr\u00f3ximo assim da parede\u00a0 &#8212;\u00a0\u00a0<\/b><\/span><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>R- C<\/b><\/span><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>\u00a0\u00a0<\/b><\/span><\/span><\/span><\/span><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #c00000;\"><span style=\"font-family: Arial Black,serif;\"><b>08-<\/b><\/span><\/span><span style=\"color: #c00000;\"><span style=\"font-family: Arial,serif;\"><b>\u00a0<\/b><\/span><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>Todo espelho esf\u00e9rico convexo, independente da posi\u00e7\u00e3o do objeto fornece sempre imagens virtuais, direitas e menores que o objeto\u00a0 &#8212;\u00a0 o fato das imagens serem menores que os objetos aumenta o campo visual do espelho\u00a0 &#8212;\u00a0 t\u00eam, entretanto, o inconveniente de n\u00e3o darem no\u00e7\u00e3o da dist\u00e2ncia\u00a0\u00a0&#8212;\u00a0\u00a0<\/b><\/span><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>R- A<\/b><\/span><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #0000cc;\">\u00a0<\/span><\/p>\n<p><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #c00000;\"><span style=\"font-family: Arial Black,serif;\"><b>09<\/b><\/span><\/span><span style=\"color: #c00000;\"><span style=\"font-family: Arial Black,serif;\"><b>&#8211;<\/b><\/span><\/span><b> <\/b><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>a) O espelho, para obter a maior intensidade de radia\u00e7\u00e3o solar poss\u00edvel, deve ter 60m de raio de curvatura, de modo que o navio fique em seu foco, quando estiver a 30m da praia.<\/b><\/span><\/span><\/span><\/span><\/p>\n<p><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>b) Intensidade de radia\u00e7\u00e3o = Pot\u00eancia\/\u00e1rea\u00a0 &#8212;\u00a0 I=P\/S\u00a0 &#8212;\u00a0 60% de I=0,6.500\u00a0\u00a0<\/b><\/span><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>&#8212;\u00a0 I=300W\/m<\/b><\/span><\/span><span style=\"color: #0000cc;\"><sup><span style=\"font-family: Arial,serif;\"><b>2<\/b><\/span><\/sup><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>\u00a0 &#8212;\u00a0\u00a0<\/b><\/span><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>cada espelho tem \u00e1rea<\/b><\/span><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>\u00a0 &#8212;\u00a0<\/b><\/span><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>\u00a0S=0,5.1,0\u00a0 &#8212;\u00a0 S=0,5m<\/b><\/span><\/span><span style=\"color: #0000cc;\"><sup><span style=\"font-family: Arial,serif;\"><b>2<\/b><\/span><\/sup><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>\u00a0 &#8212;\u00a0 como s\u00e3o 60 espelhos\u00a0 &#8212;\u00a0 S<\/b><\/span><\/span><span style=\"color: #0000cc;\"><sub><span style=\"font-family: Arial,serif;\"><b>t<\/b><\/span><\/sub><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>=60.0,5\u00a0 &#8212;\u00a0 S<\/b><\/span><\/span><span style=\"color: #0000cc;\"><sub><span style=\"font-family: Arial,serif;\"><b>t<\/b><\/span><\/sub><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>=30m<\/b><\/span><\/span><span style=\"color: #0000cc;\"><sup><span style=\"font-family: Arial,serif;\"><b>2<\/b><\/span><\/sup><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>\u00a0 &#8212;\u00a0 I=P\/S<\/b><\/span><\/span><span style=\"color: #0000cc;\"><sub><span style=\"font-family: Arial,serif;\"><b>t<\/b><\/span><\/sub><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>\u00a0 &#8212;\u00a0 300=P\/30\u00a0\u00a0<\/b><\/span><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>&#8212;P=9.000W ou P=9kW<\/b><\/span><\/span><\/span><\/span><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #c00000;\"><span style=\"font-family: Arial Black,serif;\"><b>10<\/b><\/span><\/span><span style=\"color: #c00000;\"><span style=\"font-family: Arial Black,serif;\"><b>&#8211;<\/b><\/span><\/span><span style=\"color: #c00000;\"><span style=\"font-family: Arial,serif;\"><b>\u00a0<\/b><\/span><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>Situa\u00e7\u00e3o inicial (t=0)<\/b><\/span><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>\u00a0 &#8212;\u00a0 P=50cm\u00a0 &#8212;\u00a0 f=10cm\u00a0 &#8212;\u00a0 1\/f=1\/P+1\/P\u2019\u00a0 &#8212;\u00a0 1\/10=1\/50+1\/P\u2019\u00a0 &#8212;\u00a0 1\/10 \u2013 1\/50=1\/P\u2019\u00a0 &#8212;\u00a0 4\/50=1\/P\u2019\u00a0 &#8212;\u00a0 P\u2019=12,5cm (posi\u00e7\u00e3o inicial da imagem)<\/b><\/span><\/span><\/span><\/span><\/p>\n<p><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>Situa\u00e7\u00e3o final (t=5s)\u00a0\u00a0<\/b><\/span><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>&#8212;\u00a0 V=\u0394S\/\u0394t\u00a0 &#8212;\u00a0 4= \u0394S\/5\u00a0 &#8212;\u00a0 \u0394S=20cm\u00a0 &#8212;\u00a0 como ele se aproxima do espelho sua nova dist\u00e2ncia do v\u00e9rtice do espelho ser\u00e1\u00a0 &#8212;\u00a0 P=50 \u2013 20\u00a0 &#8212;\u00a0 P=30cm\u00a0 &#8212;\u00a0 f=10cm\u00a0 &#8212;\u00a0 1\/10 = 1\/30 + <\/b><\/span><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #0000cc;\">\u00a0<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/raclogico\/espelhosesfericos\/i_a6650bacd6a71bf0_html_41fe94c5.png\" alt=\"\" width=\"777\" height=\"221\" name=\"Imagem 71\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>1\/P\u2019\u00a0 &#8212;\u00a0 P\u2019= 15cm\u00a0 (nova posi\u00e7\u00e3o da imagem)\u00a0 &#8212;\u00a0 A imagem percorreu \u0394S=15 \u2013 12,5\u00a0 &#8212;\u00a0 \u0394S=2,5cm\u00a0\u00a0<\/b><\/span><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>&#8212;\u00a0 R- E<\/b><\/span><\/span><\/span><\/span><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #c00000;\"><span style=\"font-family: Arial Black,serif;\"><b>11<\/b><\/span><\/span><span style=\"color: #c00000;\"><span style=\"font-family: Arial Black,serif;\"><b>&#8211;<\/b><\/span><\/span><span style=\"color: #c00000;\"><span style=\"font-family: Arial,serif;\"><b>\u00a0<\/b><\/span><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>Convexo\u00a0<\/b><\/span><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>\u00a0&#8212;\u00a0 f=-10cm\u00a0 &#8212;\u00a0 P=6cm\u00a0 &#8212;\u00a0 1\/-10=1\/6 + 1\/P\u2019\u00a0 &#8212;\u00a0 P\u2019= -3,75cm\u00a0 &#8212;\u00a0 i\/O=-P\u2019\/P\u00a0 &#8212;\u00a0 1,5\/O=-(-3,75)\/6\u00a0 &#8212;\u00a0 O=2,4cm\u00a0 &#8212;<\/b><\/span><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>\u00a0c\u00f4ncavo<\/b><\/span><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>\u00a0 &#8212;\u00a0 f=10cm\u00a0 &#8212;\u00a0 i=-1,5m (imagem invertida)\u00a0 &#8212;\u00a0 O=2,4cm\u00a0 &#8212;\u00a0 i\/O=-P\u2019\/P\u00a0 &#8212;\u00a0 -1,5\/2,4=-P\u2019\/P\u00a0 &#8212;\u00a0 P\u2019=0,625P\u00a0 &#8212;\u00a0 1\/10=1\/P + 1\/0,625P\u00a0 &#8212;\u00a0 P=16,25\/0,625\u00a0 &#8212;\u00a0 P=26cm\u00a0\u00a0&#8212;\u00a0\u00a0<\/b><\/span><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>R- C.\u00a0<\/b><\/span><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #0000cc;\">\u00a0<\/span><\/p>\n<p><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #c00000;\"><span style=\"font-family: Arial Black,serif;\"><b>12-<\/b><\/span><\/span><span style=\"color: #c00000;\"><span style=\"font-family: Arial,serif;\"><b>\u00a0<\/b><\/span><\/span><\/span><\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/raclogico\/espelhosesfericos\/i_a6650bacd6a71bf0_html_48f7cf72.png\" alt=\"\" width=\"430\" height=\"191\" name=\"Imagem 72\" align=\"LEFT\" border=\"0\" hspace=\"12\" \/><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>Sendo a dist\u00e2ncia do Sol \u00e0 Terra muito grande, os raios de luz emitidos por ele chegam \u00e0 Terra como feixes de raios paralelos e a imagem P\u2019 se forma no foco\u00a0 &#8212;\u00a0 P\u2019= f =1m &#8212;\u00a0 P=250d\u00a0 &#8212;\u00a0 O=d\u00a0\u00a0&#8212;\u00a0\u00a0i\/O = -P\u2019\/P\u00a0 &#8212;\u00a0i\/d =- 1\/250d\u00a0&#8212;\u00a0 i=-1\/250=4.10<\/b><\/span><\/span><span style=\"color: #0000cc;\"><sup><span style=\"font-family: Arial,serif;\"><b>-3<\/b><\/span><\/sup><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>m\u00a0 &#8211;\u00a0\u00a0<\/b><\/span><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>R- E<\/b><\/span><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #0000cc;\">\u00a0<\/span><\/p>\n<p><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #c00000;\"><span style=\"font-family: Arial Black,serif;\"><b>13<\/b><\/span><\/span><span style=\"color: #c00000;\"><span style=\"font-family: Arial Black,serif;\"><b>&#8211;<\/b><\/span><\/span><b> <\/b><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>C\u00e1lculo da imagem A\u2019 de A, conjugada pelo espelho esf\u00e9rico c\u00f4ncavo\u00a0 &#8212;\u00a0 P=30cm\u00a0 &#8212;\u00a0 f=20cm\u00a0 &#8212;\u00a0 1\/f=1\/P + 1\/P\u2019\u00a0 &#8212;\u00a0 1\/20 \u2013 1\/30=1\/P\u2019\u00a0 &#8212;\u00a0 P\u2019=60cm\u00a0 &#8212;\u00a0 observe na figura abaixo que os raios de <\/b><\/span><\/span><\/span><\/span><\/p>\n<p align=\"CENTER\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/raclogico\/espelhosesfericos\/i_a6650bacd6a71bf0_html_c0d2b159.png\" alt=\"\" width=\"483\" height=\"232\" name=\"Imagem 73\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>luz\u00a0 emitidos por A, sofrem reflex\u00e3o no espelho c\u00f4ncavo, incidem no espelho, onde s\u00e3o refletidos mas,a imagem se forma em A\u2019, que se comporta como objeto virtual para o espelho plano. Os raios de luz que atingem o espelho plano devem sofrer reflex\u00e3o e retornar a A.<\/b><\/span><\/span><\/span><\/span><\/p>\n<p align=\"CENTER\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/raclogico\/espelhosesfericos\/i_a6650bacd6a71bf0_html_72a14cd5.png\" alt=\"\" width=\"561\" height=\"241\" name=\"Imagem 74\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>Como no espelho plano objeto e imagem s\u00e3o sim\u00e9tricos ao espelho as dist\u00e2ncias AE e AE\u2019 s\u00e3o iguais e de 15cm cada uma. Assim, a dist\u00e2ncia pedida d vale (30 + 15)=45\u00a0 &#8212;\u00a0\u00a0<\/b><\/span><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>d=45cm<\/b><\/span><\/span><\/span><\/span><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #c00000;\"><span style=\"font-family: Arial Black,serif;\"><b>14-<\/b><\/span><\/span><span style=\"color: #c00000;\"><span style=\"font-family: Arial,serif;\"><b>\u00a0<\/b><\/span><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>Dados: f=R\/2=1\/2=0,5m=50cm\u00a0 &#8212;\u00a0 P=50 + 10=60cm\u00a0 &#8212;\u00a0 equa\u00e7\u00e3o dos pontos conjugados de <\/b><\/span><\/span><\/span><\/span><\/p>\n<p align=\"CENTER\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/raclogico\/espelhosesfericos\/i_a6650bacd6a71bf0_html_c2dba151.png\" alt=\"\" width=\"776\" height=\"247\" name=\"Imagem 75\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>Gauss\u00a0 &#8212;\u00a0 1\/f=1\/P +\u00a01\/P\u2019\u00a0 &#8212;\u00a01\/50=1\/60 + 1\/P\u2019\u00a0 &#8212;\u00a0 1\/50 \u2013 1\/60=1\/P\u2019\u00a0 &#8212;\u00a0 (6 \u2013 5)\/300=1\/P\u2019\u00a0 &#8212;\u00a0 P\u2019=300cm\u00a0 &#8212;dist\u00e2ncia entre objeto e imagem\u00a0 &#8212;\u00a0 d=300 \u2013 60=240cm\u00a0 &#8212;\u00a0<\/b><\/span><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>R- A<\/b><\/span><\/span><\/span><\/span><\/p>\n<p><span style=\"color: #0000cc;\">\u00a0<\/span><\/p>\n<p><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #c00000;\"><span style=\"font-family: Arial Black,serif;\"><b>15- <\/b><\/span><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>Dist\u00e2ncia focal&#8212;\u00a0\u00a0f=-60\/2\u00a0\u00a0&#8212;\u00a0\u00a0f=-30cm (negativa, espelho convexo)\u00a0\u00a0&#8212;\u00a0\u00a0imagem inicial\u00a0\u00a0&#8212;\u00a0\u00a0P=20cm\u00a0\u00a0&#8212;\u00a0\u00a01\/f=1\/P + 1\/P\u2019\u00a0\u00a0&#8212;\u00a0\u00a01\/-30 =1\/20 + 1\/P\u2019\u00a0&#8212;\u00a0\u00a0-1\/30 \u2013 1\/20 = 1\/P\u2019\u00a0\u00a0&#8212;\u00a0\u00a0P\u2019=-60\/4\u00a0\u00a0&#8212;\u00a0\u00a0P\u2019= &#8211; 12cm\u00a0\u00a0&#8212;\u00a0\u00a0imagem quando o objeto estiver em A\u00a0\u00a0&#8212;\u00a0\u00a0P=30cm\u00a0\u00a0&#8212;\u00a0\u00a0\u00a01\/f=1\/P + 1\/P\u2019\u00a0\u00a0&#8212;\u00a0\u00a01\/-30 =1\/30 + 1\/P\u2019\u00a0\u00a0&#8212;\u00a0\u00a0-1\/30 \u2013 1\/30 = 1\/P\u2019\u00a0\u00a0&#8212;\u00a0\u00a0P\u2019=-30\/2\u00a0\u00a0&#8212;\u00a0\u00a0P<\/b><\/span><\/span><span style=\"color: #0000cc;\"><sub><span style=\"font-family: Arial,serif;\"><b>A<\/b><\/span><\/sub><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>\u2019= &#8211; 15cm\u00a0\u00a0&#8212;\u00a0\u00a0imagem quando o objeto estiverem B\u00a0\u00a0&#8212;\u00a0\u00a0P=10cm\u00a0\u00a0&#8212;\u00a0\u00a01\/f=1\/P + 1\/P\u2019\u00a0\u00a0&#8212;\u00a0\u00a01\/-30 =1\/10 + 1\/P\u2019\u00a0\u00a0&#8212;\u00a0\u00a0-1\/30 \u2013 1\/10 = 1\/P\u2019\u00a0\u00a0&#8212;\u00a0\u00a0P\u2019=-30\/4\u00a0\u00a0&#8212;\u00a0\u00a0P<\/b><\/span><\/span><span style=\"color: #0000cc;\"><sub><span style=\"font-family: Arial,serif;\"><b>B<\/b><\/span><\/sub><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>\u2019= &#8211; 7,5cm\u00a0\u00a0\u00a0&#8212;\u00a0\u00a0veja as <\/b><\/span><\/span><\/span><\/span><\/p>\n<p align=\"CENTER\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/fisicaevestibular.com.br\/novo\/wp-content\/uploads\/migracao\/raclogico\/espelhosesfericos\/i_a6650bacd6a71bf0_html_35d6bc9d.png\" alt=\"\" width=\"511\" height=\"214\" name=\"Imagem 76\" align=\"BOTTOM\" border=\"0\" \/><\/p>\n<p><span style=\"font-family: Times New Roman,serif;\"><span style=\"font-size: medium;\"><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>dist\u00e2ncias pedidas na figura abaixo\u00a0\u00a0&#8212;\u00a0\u00a0d<\/b><\/span><\/span><span style=\"color: #0000cc;\"><sub><span style=\"font-family: Arial,serif;\"><b>1<\/b><\/span><\/sub><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>=15 \u2013 12=3,0cm\u00a0\u00a0&#8212;\u00a0d<\/b><\/span><\/span><span style=\"color: #0000cc;\"><sub><span style=\"font-family: Arial,serif;\"><b>2<\/b><\/span><\/sub><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>=12\u2013 7,5 = 4,5cm\u00a0\u00a0&#8212;\u00a0<\/b><\/span><\/span><span style=\"color: #0000cc;\"><span style=\"font-family: Arial,serif;\"><b>\u00a0R- A.<\/b><\/span><\/span><\/span><\/span><\/p>\n<p>&nbsp;<\/p>\n<h3><a title=\"Espelhos Esf\u00e9ricos\" href=\"http:\/\/fisicaevestibular.com.br\/novo\/raciocinio-logico\/espelhos-esfericos\/\"><span style=\"color: #000080;\">Voltar para os exerc\u00edcios<\/span><\/a><\/h3>\n","protected":false},"excerpt":{"rendered":"<p>Resolu\u00e7\u00f5es comentadas de exerc\u00edcios de vestibulares sobre Espelhos Esf\u00e9ricos &nbsp; 01-\u00a0 &nbsp; &nbsp; Todo raio de luz que incide no espelho c\u00f4ncavo passando pelo foco (ou sendo emitido nele) atinge o espelho e\u00a0retorna paralelamente ao eixo principal\u00a0\u00a0&#8212;\u00a0\u00a0R- B. \u00a0 02-\u00a0O objeto (l\u00e2mpada) est\u00e1 sob a caixa e sobre o centro de curvatura do espelho e nessas condi\u00e7\u00f5es a imagem ser\u00e1\u00a0<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":2624,"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-2626","page","type-page","status-publish","hentry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/2626","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=2626"}],"version-history":[{"count":3,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/2626\/revisions"}],"predecessor-version":[{"id":10975,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/2626\/revisions\/10975"}],"up":[{"embeddable":true,"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/pages\/2624"}],"wp:attachment":[{"href":"https:\/\/fisicaevestibular.com.br\/novo\/wp-json\/wp\/v2\/media?parent=2626"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}