{"id":27642,"date":"2021-08-30T13:00:26","date_gmt":"2021-08-30T13:00:26","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=27642"},"modified":"2024-08-07T11:41:25","modified_gmt":"2024-08-07T11:41:25","slug":"problemes-resolus-des-miroirs-spheriques","status":"publish","type":"post","link":"http:\/\/toposuranos.com\/material\/fr\/problemes-resolus-des-miroirs-spheriques\/","title":{"rendered":"Probl\u00e8mes r\u00e9solus des miroirs sph\u00e9riques"},"content":{"rendered":"<h1>Probl\u00e8mes r\u00e9solus des miroirs sph\u00e9riques<\/h1>\n<p style=\"text-align: justify; color: #000000;\">Dans les cours pr\u00e9c\u00e9dents, nous avons d\u00e9j\u00e0 couvert toute la th\u00e9orie relative aux miroirs plans et sph\u00e9riques, et nous avons \u00e9galement montr\u00e9 des exemples de raisonnements avec des miroirs plans. Il est maintenant temps de revoir quelques probl\u00e8mes r\u00e9solus avec des miroirs sph\u00e9riques. Ci-dessous, nous examinerons quelques probl\u00e8mes typiques sur les miroirs sph\u00e9riques et montrerons leurs solutions \u00e9tape par \u00e9tape.<\/p>\n<h2>Probl\u00e8mes de miroirs sph\u00e9riques<\/h2>\n<ol style=\"text-align: justify; color: #000000;\">\n<li>Un objet de 20 cm est \u00e0 1,5 m d&#8217;un miroir concave. Si le rayon de courbure est de 70 cm, calculez :\n<ol>\n<li type=\"a\">La position de l&#8217;objet r\u00e9fl\u00e9chi et d\u00e9terminez s&#8217;il est r\u00e9el ou virtuel.<\/li>\n<li type=\"a\">Le facteur d&#8217;agrandissement et l&#8217;orientation de l&#8217;objet r\u00e9fl\u00e9chi.<\/li>\n<li type=\"a\">La taille de l&#8217;objet r\u00e9fl\u00e9chi.<\/li>\n<\/ol>\n<\/li>\n<li>Un objet de 10 cm est plac\u00e9 \u00e0 5 cm d&#8217;un miroir convexe avec un rayon de courbure de 12 cm. Calculez :\n<ol>\n<li type=\"a\">La position de l&#8217;objet r\u00e9fl\u00e9chi et d\u00e9terminez si l&#8217;image est virtuelle ou r\u00e9elle.<\/li>\n<li type=\"a\">Le facteur d&#8217;agrandissement et l&#8217;orientation de l&#8217;image.<\/li>\n<li type=\"a\">La taille de l&#8217;objet r\u00e9fl\u00e9chi.<\/li>\n<\/ol>\n<\/li>\n<li>Un miroir concave avec un rayon de courbure de 12 cm. Trouvez les endroits o\u00f9, si un objet est plac\u00e9, son image doublera de taille et d\u00e9terminez si cette image est r\u00e9elle ou virtuelle.<\/li>\n<li>Est-il possible d&#8217;agrandir l&#8217;image d&#8217;un objet en utilisant un miroir convexe ?<\/li>\n<li>Un miroir convexe avec un rayon de courbure de 80 cm a une surface utile de 60\u00b0. D\u00e9terminez la taille du plus grand objet possible qui peut \u00eatre r\u00e9fl\u00e9chi dedans s&#8217;il est plac\u00e9 \u00e0 une distance de 30 cm du sommet du miroir.<\/li>\n<\/ol>\n<h3>Solutions :<\/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>Probl\u00e8mes : Mouvement devant les miroirs sph\u00e9riques<\/h2>\n<ol style=\"text-align: justify; color: #000000;\">\n<li>Consid\u00e9rez un miroir sph\u00e9rique avec un rayon de courbure R=70 cm. Si un objet se d\u00e9place \u00e0 une vitesse de v=5 m\/s, \u00e0 quelle vitesse se d\u00e9placera son image ? Supposons que la position de l&#8217;objet soit s=150 cm.<\/li>\n<li>Consid\u00e9rez un miroir convexe avec un rayon de courbure R=-80 cm, et un objet avec une position S=10 cm. Si le miroir se d\u00e9place \u00e0 une vitesse de v=5 km\/h, \u00e0 quelle vitesse se d\u00e9place l&#8217;image ?<\/li>\n<li>Consid\u00e9rez un miroir convexe avec un rayon de courbure R=-150 cm. Si une balle est \u00e0 une position S=20 cm et tombe d&#8217;un repos d&#8217;une hauteur de h=50 cm, trouvez une formule qui d\u00e9crit la vitesse \u00e0 laquelle l&#8217;image de la balle tombe dans le miroir.<\/li>\n<\/ol>\n<h3>Solutions :<\/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>Probl\u00e8mes r\u00e9solus des miroirs sph\u00e9riques Dans les cours pr\u00e9c\u00e9dents, nous avons d\u00e9j\u00e0 couvert toute la th\u00e9orie relative aux miroirs plans et sph\u00e9riques, et nous avons \u00e9galement montr\u00e9 des exemples de raisonnements avec des miroirs plans. Il est maintenant temps de revoir quelques probl\u00e8mes r\u00e9solus avec des miroirs sph\u00e9riques. Ci-dessous, nous examinerons quelques probl\u00e8mes typiques sur [&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":15,"footnotes":""},"categories":[847,647],"tags":[],"class_list":["post-27642","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-optique-geometrique","category-physique"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Probl\u00e8mes r\u00e9solus des miroirs sph\u00e9riques - toposuranos.com\/material<\/title>\n<meta name=\"description\" content=\"Nous examinerons des probl\u00e8mes r\u00e9solus des miroirs sph\u00e9riques, y compris les calculs de position, de taille et d&#039;orientation, pour les miroirs concaves et convexes.\" \/>\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\/fr\/problemes-resolus-des-miroirs-spheriques\/\" \/>\n<meta property=\"og:locale\" content=\"es_ES\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Probl\u00e8mes r\u00e9solus des miroirs sph\u00e9riques\" \/>\n<meta property=\"og:description\" content=\"Nous examinerons des probl\u00e8mes r\u00e9solus des miroirs sph\u00e9riques, y compris les calculs de position, de taille et d&#039;orientation, pour les miroirs concaves et convexes.\" \/>\n<meta property=\"og:url\" content=\"http:\/\/toposuranos.com\/material\/fr\/problemes-resolus-des-miroirs-spheriques\/\" \/>\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=\"2021-08-30T13:00:26+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2024-08-07T11:41:25+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=\"Probl\u00e8mes r\u00e9solus des miroirs sph\u00e9riques\" \/>\n<meta name=\"twitter:description\" content=\"Nous examinerons des probl\u00e8mes r\u00e9solus des miroirs sph\u00e9riques, y compris les calculs de position, de taille et d&#039;orientation, pour les miroirs concaves et convexes.\" \/>\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\/fr\/problemes-resolus-des-miroirs-spheriques\/#article\",\"isPartOf\":{\"@id\":\"http:\/\/toposuranos.com\/material\/fr\/problemes-resolus-des-miroirs-spheriques\/\"},\"author\":{\"name\":\"giorgio.reveco\",\"@id\":\"http:\/\/toposuranos.com\/material\/#\/schema\/person\/e15164361c3f9a2a02cf6c234cf7fdc1\"},\"headline\":\"Probl\u00e8mes r\u00e9solus des miroirs sph\u00e9riques\",\"datePublished\":\"2021-08-30T13:00:26+00:00\",\"dateModified\":\"2024-08-07T11:41:25+00:00\",\"mainEntityOfPage\":{\"@id\":\"http:\/\/toposuranos.com\/material\/fr\/problemes-resolus-des-miroirs-spheriques\/\"},\"wordCount\":440,\"commentCount\":0,\"publisher\":{\"@id\":\"http:\/\/toposuranos.com\/material\/#organization\"},\"image\":{\"@id\":\"http:\/\/toposuranos.com\/material\/fr\/problemes-resolus-des-miroirs-spheriques\/#primaryimage\"},\"thumbnailUrl\":\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/08\/espejoesferico.jpg\",\"articleSection\":[\"Optique G\u00e9om\u00e9trique\",\"Physique\"],\"inLanguage\":\"es\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"http:\/\/toposuranos.com\/material\/fr\/problemes-resolus-des-miroirs-spheriques\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"http:\/\/toposuranos.com\/material\/fr\/problemes-resolus-des-miroirs-spheriques\/\",\"url\":\"http:\/\/toposuranos.com\/material\/fr\/problemes-resolus-des-miroirs-spheriques\/\",\"name\":\"Probl\u00e8mes r\u00e9solus des miroirs sph\u00e9riques - 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