{"id":34494,"date":"2024-09-16T13:00:35","date_gmt":"2024-09-16T13:00:35","guid":{"rendered":"https:\/\/toposuranos.com\/material\/?p=34494"},"modified":"2025-09-08T04:14:03","modified_gmt":"2025-09-08T04:14:03","slug":"%e4%bb%95%e4%ba%8b%e3%81%a8%e5%8a%9b%e5%ad%a6%e7%9a%84%e3%82%a8%e3%83%8d%e3%83%ab%e3%82%ae%e3%83%bc","status":"publish","type":"post","link":"http:\/\/toposuranos.com\/material\/ja\/%e4%bb%95%e4%ba%8b%e3%81%a8%e5%8a%9b%e5%ad%a6%e7%9a%84%e3%82%a8%e3%83%8d%e3%83%ab%e3%82%ae%e3%83%bc\/","title":{"rendered":"\u4ed5\u4e8b\u3068\u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc"},"content":{"rendered":"<p><center><\/p>\n<h1>\u4ed5\u4e8b\u3068\u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc<\/h1>\n<p><em><strong>\u8981\u7d04:<\/strong><br \/>\n    \u672c\u8b1b\u7fa9\u30b7\u30ea\u30fc\u30ba\u3067\u306f\u3001\u4ed5\u4e8b\u3001\u30a8\u30cd\u30eb\u30ae\u30fc\u3001\u305d\u3057\u3066\u305d\u306e\u3044\u304f\u3064\u304b\u306e\u5f62\u614b\uff08\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\uff09\u306e\u95a2\u4fc2\u3092\u5b66\u7fd2\u3059\u308b\u3002\u3053\u308c\u3089\u306e\u5206\u6790\u304b\u3089\u3001\u521d\u901f\u5ea6\u3092\u3082\u3063\u3066\u51fa\u767a\u3057\u305f\u7269\u4f53\u304c\u505c\u6b62\u3059\u308b\u307e\u3067\u306b\u9032\u3080\u5236\u52d5\u8ddd\u96e2\u3092\u8a08\u7b97\u3057\u3001\u307e\u305f\u81ea\u7531\u843d\u4e0b\u306e\u7814\u7a76\u3092\u7c21\u7565\u5316\u3059\u308b\u3002<\/em><\/p>\n<p style=\"text-align:center;\"><strong>\u5b66\u7fd2\u76ee\u6a19<\/strong><br \/>\n\u672c\u8b1b\u7fa9\u7d42\u4e86\u6642\u306b\u5b66\u751f\u306f\u6b21\u306e\u3053\u3068\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308b:<\/p>\n<ol style=\"text-align:left;\">\n<li><strong>\u7406\u89e3\u3059\u308b<\/strong> \u4ed5\u4e8b\u3068\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u95a2\u4fc2\u3002<\/li>\n<li><strong>\u5fdc\u7528\u3059\u308b<\/strong> \u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5b9a\u7406\u3092\u7528\u3044\u3066\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u5909\u5316\u3092\u7406\u89e3\u3059\u308b\u3002<\/li>\n<li><strong>\u8aac\u660e\u3059\u308b<\/strong> \u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u6982\u5ff5\u3068\u3001\u305d\u308c\u304c\u91cd\u529b\u5834\u306b\u304a\u3051\u308b\u7269\u4f53\u306e\u4f4d\u7f6e\u3068\u3069\u306e\u3088\u3046\u306b\u95a2\u4fc2\u3059\u308b\u304b\u3002<\/li>\n<\/ol>\n<p><strong>\u76ee\u6b21<\/strong><br \/>\n    <a href=\"#1\">\u4ed5\u4e8b\u3068\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc<\/a><br \/>\n    <a href=\"#11\">\u4ed5\u4e8b\u3068\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u95a2\u4fc2<\/a><br \/>\n    <a href=\"#12\">\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u5236\u52d5\u8ddd\u96e2<\/a><br \/>\n    <a href=\"#2\">\u4ed5\u4e8b\u3068\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc<\/a><br \/>\n    <a href=\"#21\">\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u81ea\u7531\u843d\u4e0b<\/a><\/p>\n<p>    <\/center><\/p>\n<p>    <center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/_q-5C4FQOaU\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center><br \/>\n<a name=\"1\"><\/a><\/p>\n<h2>\u4ed5\u4e8b\u3068\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc<\/h2>\n<p style=\"text-align:justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=_q-5C4FQOaU&amp;t=130s\" target=\"_blank\" rel=\"noopener\"><strong>\u30d6\u30ed\u30c3\u30af\u306b\u529b\u3092\u52a0\u3048\u308b\u3068\u3001<\/strong><\/a> \u79c1\u305f\u3061\u306f\u30b7\u30b9\u30c6\u30e0\u306b\u4f55\u304b\u3092\u52a0\u3048\u305f\u3088\u3046\u306b\u611f\u3058\u308b\u3002\u76f4\u611f\u7684\u306b\u306f\u300c\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u52a0\u3048\u3066\u3044\u308b\u300d\u3068\u8a00\u3046\u304c\u3001\u3053\u308c\u306f\u5fc5\u305a\u3057\u3082\u6b63\u3057\u304f\u306a\u3044\u3002\u3082\u3057\u305d\u306e\u529b\u304c\u9759\u6b62\u6469\u64e6\u3092\u7834\u308b\u306e\u306b\u5341\u5206\u3067\u306a\u3051\u308c\u3070\u3001\u30d6\u30ed\u30c3\u30af\u304c\u4f55\u304b\u5909\u5316\u3057\u305f\u304b\u3069\u3046\u304b\u3092\u8a00\u3046\u3053\u3068\u306f\u3067\u304d\u306a\u3044\u3002\u78ba\u304b\u306b\u300c\u52aa\u529b\u300d\u3068\u547c\u3079\u308b\u3088\u3046\u306a\u3082\u306e\u3092\u30b7\u30b9\u30c6\u30e0\u306b\u52a0\u3048\u3066\u306f\u3044\u308b\u304c\u3001\u9759\u6b62\u6469\u64e6\u306f\u305d\u306e\u300c\u52aa\u529b\u300d\u3092\u9006\u5411\u304d\u306b\u88dc\u3063\u3066\u8fd4\u3059\u3002\u3057\u304b\u3057\u3001\u9759\u6b62\u6469\u64e6\u304c\u7834\u308c\u308b\u3068\u30b7\u30b9\u30c6\u30e0\u306b\u5909\u5316\u304c\u660e\u78ba\u306b\u73fe\u308c\u308b\u3002\u3059\u306a\u308f\u3061\u3001\u65b0\u3057\u3044\u904b\u52d5\u72b6\u614b\u306b\u5165\u308b\u306e\u3067\u3042\u308b\u3002\u305d\u306e\u65b0\u3057\u3044\u904b\u52d5\u72b6\u614b\u3092\u751f\u3058\u3055\u305b\u308b\u305f\u3081\u306b\u3001\u30b7\u30b9\u30c6\u30e0\u306b\u300c\u65b0\u3057\u3044\u4f55\u304b\u300d\u3092\u52a0\u3048\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u3002\u305d\u306e\u300c\u4f55\u304b\u300d\u3053\u305d\u304c\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u547c\u3070\u308c\u308b\u3082\u306e\u3067\u3042\u308b\u3002<\/p>\n<p style=\"text-align:justify;\">\u3053\u3053\u3067\u3001\u7269\u4f53\u3042\u308b\u3044\u306f\u30b7\u30b9\u30c6\u30e0\u306e\u72b6\u614b\u3092\u8a18\u8ff0\u3059\u308b\u4e8c\u3064\u306e\u7269\u7406\u91cf\u304c\u3042\u308b\u3002\u3059\u3067\u306b\u3088\u304f\u77e5\u3089\u308c\u3066\u3044\u308b\u904b\u52d5\u91cf\u306f\u904b\u52d5\u72b6\u614b\u3092\u8868\u3059\u3082\u306e\u3067\u3042\u308a\u3001\u3053\u308c\u304b\u3089\u5b66\u3076\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u306f <em>\u7269\u4f53\u3084\u30b7\u30b9\u30c6\u30e0\u3092\u9759\u6b62\u72b6\u614b\u304b\u3089\u305d\u306e\u904b\u52d5\u72b6\u614b\u306b\u79fb\u3059\u305f\u3081\u306b\u52a0\u3048\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u304b\u3063\u305f\u3082\u306e<\/em> \u3092\u8868\u3059\u3053\u3068\u306b\u306a\u308b\u3002<\/p>\n<p><a name=\"11\"><\/a><\/p>\n<h3>\u4ed5\u4e8b\u3068\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u95a2\u4fc2<\/h3>\n<p style=\"text-align:justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=_q-5C4FQOaU&amp;t=865s\" target=\"_blank\" rel=\"noopener\"><strong>\u518d\u3073\u30d6\u30ed\u30c3\u30af\u3068\u305d\u308c\u3092\u52d5\u304b\u3059\u529b\u306b\u623b\u308d\u3046\u3002<\/strong><\/a> \u3082\u3057\u305d\u306e\u529b\u304c\u904b\u52d5\u3092\u751f\u3058\u306a\u3051\u308c\u3070\u3001\u30b7\u30b9\u30c6\u30e0\u306b\u4f55\u3082\u52a0\u3048\u3089\u308c\u3066\u3044\u306a\u3044\u3068\u8a00\u3048\u308b\u3002\u4e00\u65b9\u3067\u3001\u3082\u3057\u904b\u52d5\u3092\u751f\u3058\u308c\u3070\u3001<strong>\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc<\/strong> \u304c\u52a0\u3048\u3089\u308c\u305f\u3068\u8a00\u3048\u308b\u3002\u904b\u52d5\u304c\u751f\u3058\u308b\u3068\u3001\u7269\u4f53\u306f\u5fc5\u305a\u3042\u308b\u7d4c\u8def\u3092\u79fb\u52d5\u3057\u3001\u305d\u306e\u9593\u306b\u529b\u304c\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u52a0\u3048\u308b\u3002\u3053\u306e\u3088\u3046\u306b\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u52a0\u3048\u305f\u308a\u53d6\u308a\u9664\u3044\u305f\u308a\u3059\u308b\u884c\u70ba\u3092\u300c\u529b\u5b66\u7684\u4ed5\u4e8b\u3092\u3059\u308b\u300d\u3068\u547c\u3076\u3002\u305d\u3057\u3066\u3001<strong>\u529b\u5b66\u7684\u4ed5\u4e8b\u306e\u8981\u7d20 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">dW<\/span><\/span> \u306f\u6b21\u306e\u5f0f\u3067\u5b9a\u7fa9\u3055\u308c\u308b\u3002<\/strong><\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{lr}\n\n    dW =\\vec{F} \\cdot d\\vec{r} &amp; (1)\n\n    \\end{array}<\/span>\n<\/p>\n<p style=\"text-align:justify;\">\u3053\u3053\u3067 <span class=\"katex-eq\" data-katex-display=\"false\">\\vec{F}<\/span> \u306f\u52a0\u3048\u3089\u308c\u305f\u529b\u3067\u3042\u308a\u3001<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">d\\vec{r}<\/span><\/span> \u306f\u305d\u306e\u529b\u304c\u4f5c\u7528\u3057\u305f\u5909\u4f4d\u8981\u7d20\u3067\u3042\u308b\u3002\u3053\u306e\u529b\u304c\u8cea\u91cf <span class=\"katex-eq\" data-katex-display=\"false\">m<\/span> \u306e\u7269\u4f53\u306b\u4f5c\u7528\u3059\u308b\u306e\u3067\u3001<a href=\"https:\/\/toposuranos.com\/las-leyes-de-newton\/\" target=\"_blank\" rel=\"noopener\">\u30cb\u30e5\u30fc\u30c8\u30f3\u306e\u7b2c\u4e8c\u6cd5\u5247<\/a> \u3092\u7528\u3044\u3066\u6b21\u306e\u3088\u3046\u306b\u66f8\u3051\u308b\u3002<\/p>\n<p style=\"text-align:center\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{lr}\n\n    \\displaystyle\\vec{F} =\\frac{d\\vec{p}}{dt} = m\\frac{d\\vec{v}}{dt} &amp; (2)\n\n    \\end{array}<\/span>\n<p style=\"text-align:justify;\">\u3057\u305f\u304c\u3063\u3066\u3001\u5f0f (1) \u3068 (2) \u304b\u3089\u6b21\u306e\u95a2\u4fc2\u304c\u5f97\u3089\u308c\u308b\u3002<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{llr}\n\n    dW &amp; \\displaystyle =m\\frac{d\\vec{v}}{dt} \\cdot d\\vec{r} = m\\frac{d\\vec{r}}{dt} \\cdot d\\vec{v} = m\\vec{v} \\cdot d\\vec{v} &amp; (3)\n\n    \\end{array}<\/span>\n<p style=\"text-align:justify;\">\u3053\u306e\u6700\u5f8c\u306e\u5f0f\u3092\u7a4d\u5206\u3057\u3066\u3001\u884c\u308f\u308c\u305f\u5168\u4ed5\u4e8b\u3092\u6c42\u3081\u308b\u3068\u6b21\u306e\u3088\u3046\u306b\u306a\u308b\u3002<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{llr}\n\n    W &amp; = \\displaystyle {\\int_{i}^{f}} m\\vec{v} \\cdot d\\vec{v} = \\left.\\frac{1}{2}m \\|\\vec{v}\\|^2 \\right|_i^f &amp; \\\\ \\\\\n\n    &amp; \\displaystyle = \\frac{1}{2}m \\|\\vec{v}_f\\|^2 - \\frac{1}{2}m\\|\\vec{v}_i\\|^2 &amp; (4)\n\n    \\end{array}<\/span>\n<p style=\"text-align:justify;\">\u3053\u306e\u63a8\u8ad6\u304b\u3089\u3001\u529b\u5b66\u7684\u4ed5\u4e8b\u306f\u4e8c\u3064\u306e\u7570\u306a\u308b\u72b6\u614b\u306b\u304a\u3051\u308b\u540c\u4e00\u306e\u7269\u7406\u91cf\u306e\u5dee\u306b\u7b49\u3057\u3044\u3053\u3068\u304c\u308f\u304b\u308b\u3002\u4e00\u65b9\u306f\u6700\u7d42\u72b6\u614b\u306b\u5bfe\u5fdc\u3057\u3001\u3082\u3046\u4e00\u65b9\u306f\u521d\u671f\u72b6\u614b\u306b\u5bfe\u5fdc\u3059\u308b\u3002\u305d\u306e\u7269\u7406\u91cf\u306f\u904b\u52d5\u72b6\u614b\u3092\u5909\u5316\u3055\u305b\u308b\u305f\u3081\u306b\u52a0\u3048\uff08\u3042\u308b\u3044\u306f\u53d6\u308a\u9664\u304d\uff09\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u304b\u3063\u305f\u3082\u306e\u3067\u3042\u308a\u3001\u3053\u308c\u3092 <strong>\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc<\/strong> \u3068\u547c\u3076\u3002\u3057\u305f\u304c\u3063\u3066\u6b21\u306e\u5f0f\u3067\u5b9a\u7fa9\u3055\u308c\u308b\u3002<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{llr}\n\n    E_{cin} &amp; \\displaystyle = \\frac{1}{2}m\\|\\vec{v}\\|^2 &amp; (5)\n\n    \\end{array}<\/span>\n<p style=\"text-align:justify;\">\u3057\u305f\u304c\u3063\u3066\u6b21\u306e\u95a2\u4fc2\u304c\u6210\u308a\u7acb\u3064\u3002<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{llr}\n\n    W &amp; = \\Delta E_{cin} &amp;  (6)\n\n    \\end{array}<\/span>\n<p style=\"text-align:justify;\">\u3053\u306e\u7d50\u679c\u306f <strong>\u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5b9a\u7406<\/strong> \u3068\u3057\u3066\u77e5\u3089\u308c\u3066\u3044\u308b\u3002<\/p>\n<table>\n<tbody>\n<tr>\n<td style=\"background-color: #ddddff;\">\n<h4 style=\"color: #800000;\">\u7df4\u7fd2\u554f\u984c<\/h4>\n<p style=\"text-align:justify;\"><strong>a) <a href=\"https:\/\/www.youtube.com\/watch?v=_q-5C4FQOaU&amp;t=1148s\" target=\"_blank\" rel=\"noopener\">KIA Rio 5 \u306e\u3088\u3046\u306a\u81ea\u52d5\u8eca\u306f<\/a><\/strong> \u304a\u3088\u305d 1.580 kg \u306e\u91cd\u91cf\u3092\u6301\u3064\u3002\u3053\u306e\u8eca\u3092\u5e02\u5185\u3067\u6642\u901f 50 km \u306e\u7a4f\u3084\u304b\u306a\u901f\u5ea6\u3067\u904b\u8ee2\u3057\u3066\u3044\u308b\u3068\u304d\u306b\u8d64\u4fe1\u53f7\u306b\u51fa\u4f1a\u3046\u3068\u3059\u308b\u3002\u505c\u6b62\u3059\u308b\u305f\u3081\u306b\u306f\u3001\u8eca\u4e21\u306f\u30d6\u30ec\u30fc\u30ad\u30b7\u30b9\u30c6\u30e0\u3092\u901a\u3058\u3066\u305d\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u6563\u9038\u3057\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u3002\u305d\u306e\u5f8c\u3001\u518d\u3073\u901f\u5ea6\u3092\u56de\u5fa9\u3059\u308b\u305f\u3081\u306b\u306f\u3001\u30a8\u30f3\u30b8\u30f3\u3092\u901a\u3058\u3066\u71c3\u6599\u304b\u3089\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u5f97\u308b\u5fc5\u8981\u304c\u3042\u308b\u3002\u3082\u3057\u4fe1\u53f7\u304c\u9752\u3067\u3042\u3063\u305f\u306a\u3089\u3001\u30d6\u30ec\u30fc\u30ad\u3092\u304b\u3051\u308b\u5fc5\u8981\u304c\u306a\u304f\u3001\u305d\u306e\u5206\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u7bc0\u7d04\u3067\u304d\u305f\u3053\u3068\u306b\u306a\u308b\u3002\u4fe1\u53f7\u304c\u9752\u3067\u3042\u308b\u5834\u5408\u306b\u7bc0\u7d04\u3055\u308c\u308b\u30a8\u30cd\u30eb\u30ae\u30fc\u91cf\u3092\u8a08\u7b97\u305b\u3088\u3002<\/p>\n<p>    <strong>b)<\/strong> \u524d\u9805\u306e\u8a08\u7b97\u3092\u3001\u4eca\u5ea6\u306f\u6642\u901f 70 km \u306e\u3084\u3084\u9ad8\u3044\u901f\u5ea6\u3067\u904b\u8ee2\u3057\u3066\u3044\u308b\u3068\u4eee\u5b9a\u3057\u3066\u7e70\u308a\u8fd4\u305b\u3002\u3053\u306e\u5834\u5408\u306e\u4f59\u5206\u306a\u30a8\u30cd\u30eb\u30ae\u30fc\u6d88\u8cbb\u3092\u767e\u5206\u7387\u3067\u8868\u305b\u3002<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/dGK-y2Pqu74\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center><br \/>\n<a name=\"12\"><\/a><\/p>\n<h3>\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u5236\u52d5\u8ddd\u96e2<\/h3>\n<p style=\"text-align:justify;\">\u81ea\u52d5\u8eca\u904b\u8ee2\u8005\u304c\u3088\u304f\u72af\u3059\u8aa4\u308a\u306e\u4e00\u3064\u306f\u3001\u5236\u52d5\u8ddd\u96e2\u304c\u901f\u5ea6\u306b\u6bd4\u4f8b\u3059\u308b\u3068\u76f4\u611f\u7684\u306b\u8003\u3048\u308b\u3053\u3068\u3067\u3042\u308b\u3002\u3059\u306a\u308f\u3061\u3001\u901f\u5ea6\u30922\u500d\u306b\u3059\u308c\u3070\u5236\u52d5\u8ddd\u96e2\u30822\u500d\u306b\u306a\u308b\u3068\u8aa4\u89e3\u3059\u308b\u3002\u672c\u7bc0\u3067\u306f\u3001\u305d\u306e\u76f4\u611f\u306e\u8aa4\u308a\u3092\u691c\u8a0e\u3057\u3001\u5b9f\u969b\u306b\u306f\u5236\u52d5\u8ddd\u96e2\u304c\u901f\u5ea6\u306e\u4e8c\u4e57\u306b\u6bd4\u4f8b\u3059\u308b\u3053\u3068\u3092\u793a\u3059\u3002<\/p>\n<p style=\"text-align:justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=dGK-y2Pqu74&amp;t=113s\" target=\"_blank\" rel=\"noopener\"><strong>\u8cea\u91cf<\/strong><\/a> <span class=\"katex-eq\" data-katex-display=\"false\">m<\/span> \u306e\u30d6\u30ed\u30c3\u30af\u304c\u521d\u901f\u5ea6 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">v_i\\hat{x}<\/span><\/span> \u3067\u6c34\u5e73\u9762\u4e0a\u3092\u904b\u52d5\u3057\u3066\u304a\u308a\u3001\u52d5\u6469\u64e6\u4fc2\u6570\u304c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mu_c<\/span><\/span> \u3067\u3042\u308b\u3068\u4eee\u5b9a\u3059\u308b\u3002\u3053\u306e\u3068\u304d\u3001\u904b\u52d5\u306b\u9006\u3089\u3046\u6469\u64e6\u529b <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\vec{F}_{roce}=-\\mu_c mg\\hat{x}<\/span><\/span> \u304c\u50cd\u304d\u3001\u30d6\u30ed\u30c3\u30af\u306f\u5236\u52d5\u8ddd\u96e2 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">x_{fre}<\/span><\/span> \u3092\u9032\u3093\u3060\u5f8c\u306b\u505c\u6b62\u3059\u308b\u3002\u3053\u306e\u529b\u306b\u3088\u3063\u3066\u306a\u3055\u308c\u308b\u4ed5\u4e8b\u306f\u6b21\u306e\u5f0f\u3067\u4e0e\u3048\u3089\u308c\u308b\u3002<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\n    \\displaystyle W_{roce}= \\int_{0}^{x_{fre}} \\vec{F}_{roce} \\cdot d\\vec{l} = \\int_{0}^{x_{fre}} -\\mu_c mg dx = -\\mu_cmgx_{fre}\n\n    <\/span>\n<p style=\"text-align:justify;\">\u4e00\u65b9\u3067\u3001\u521d\u901f\u5ea6 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">v_i<\/span><\/span> \u304b\u3089\u51fa\u767a\u3057\u3066\u6700\u7d42\u901f\u5ea6 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">v_f=0<\/span><\/span> \u3067\u9759\u6b62\u3059\u308b\u7269\u4f53\u306e\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u5909\u5316\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308b\u3002<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\Delta E_{cin}= \\frac{1}{2}m (\\underbrace{\\color{red}{v_f^2}}_{= 0} - v_i^2) = - \\frac{1}{2}mv_i^2\n\n    <\/span>\n<p style=\"text-align:justify;\">\u3057\u305f\u304c\u3063\u3066\u3001\u3059\u3079\u3066\u306e\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u304c\u6469\u64e6\u306b\u3088\u3063\u3066\u6563\u9038\u3057\u3001\u7269\u4f53\u304c\u9759\u6b62\u3059\u308b\u5834\u5408\u306b\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308b\u3002<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\begin{array}{rrl}\n\n    &amp; W_{roce} &amp; \\displaystyle = \\Delta E_{cin} \\\\ \\\\\n\n \\equiv   &amp; -\\mu_cmg x_{fre} &amp; \\displaystyle = - \\frac{1}{2}mv_i^2 \\\\ \\\\\n\n \\equiv   &amp; x_{fre} &amp; = \\frac{1}{2} \\frac{v_i^2}{\\mu_c g}\n\n    \\end{array}<\/span>\n<p style=\"text-align:justify;\">\u3053\u306e\u7d50\u679c\u304b\u3089\u3001\u5236\u52d5\u8ddd\u96e2\u304c\u901f\u5ea6\u306e\u4e8c\u4e57\u306b\u6bd4\u4f8b\u3059\u308b\u3053\u3068\u304c\u793a\u3055\u308c\u305f\u3002<\/p>\n<table>\n<tbody>\n<tr>\n<td style=\"background-color: #ddddff;\">\n<h4 style=\"color: #800000;\">\u7df4\u7fd2\u554f\u984c<\/h4>\n<p style=\"text-align:justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=dGK-y2Pqu74&amp;t=510s\" target=\"_blank\" rel=\"noopener\"><strong>\u8cea\u91cf 300[kg] \u306e\u30d6\u30ed\u30c3\u30af\u304c\u901f\u5ea6<\/strong><\/a> 15[km\/h] \u3067\u6c34\u5e73\u9762\u4e0a\u3092\u904b\u52d5\u3057\u3066\u3044\u308b\u3068\u3059\u308b\u3002\u6c34\u5e73\u9762\u3068\u30d6\u30ed\u30c3\u30af\u306e\u9593\u306e\u52d5\u6469\u64e6\u4fc2\u6570\u304c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\mu_c=0,67<\/span><\/span> \u3067\u3042\u308b\u3068\u304d\u3001\u30d6\u30ed\u30c3\u30af\u304c\u5b8c\u5168\u306b\u505c\u6b62\u3059\u308b\u307e\u3067\u306b\u9032\u3080\u8ddd\u96e2\u3092\u8a08\u7b97\u305b\u3088\u3002<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/GXxkhk00quw\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center><\/p>\n<p><a name=\"2\"><\/a><\/p>\n<h2>\u4ed5\u4e8b\u3068\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc<\/h2>\n<p><P style=\"text-align:justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=GXxkhk00quw&amp;t=6s\" target=\"_blank\" rel=\"noopener\"><strong>\u8cea\u91cf<\/strong><\/a> <span class=\"katex-eq\" data-katex-display=\"false\">m<\/span> \u306e\u7269\u4f53\u304c\u9ad8\u3055 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">h_i<\/span><\/span> \u304b\u3089\u6700\u7d42\u306e\u9ad8\u3055 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">h_f<\/span><\/span> \uff08<span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">h_f \\leq h_i<\/span><\/span>\uff09\u307e\u3067\u843d\u4e0b\u3059\u308b\u3068\u8003\u3048\u3088\u3046\u3002\u3053\u306e\u3068\u304d\u91cd\u529b\u306b\u3088\u3063\u3066\u306a\u3055\u308c\u308b\u4ed5\u4e8b\u306f\u6b21\u306e\u3088\u3046\u306b\u8868\u3055\u308c\u308b\u3002<\/P><\/p>\n<p style=\"text-align:center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle W_g = \\int_{h_i}^{h_f} \\vec{F}_g \\cdot d\\vec{l} = \\int_{h_i}^{h_f} -mgdz = -mg(h_f - h_i)<\/span><\/span><\/p>\n<p style=\"text-align:justify;\">\u3053\u3053\u304b\u3089\u3001\u9ad8\u3055\u304c <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">h_i = h<\/span><\/span> \u3067\u3001\u6700\u7d42\u306e\u9ad8\u3055\u304c\u5730\u9762\u306e\u30ec\u30d9\u30eb <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">h_f = 0<\/span><\/span> \u3067\u3042\u308b\u5834\u5408\u306b\u306f\u3001\u6b21\u306e\u3088\u3046\u306b\u306a\u308b\u3002<\/p>\n<p style=\"text-align:center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle W_g = -mg(0 - h) = mgh<\/span><\/span><\/p>\n<p style=\"text-align:justify;\">\u3053\u308c\u306b\u3088\u308a\u3001\u9ad8\u3055 <span class=\"katex-eq\" data-katex-display=\"false\">h<\/span> \u304b\u3089\u7269\u4f53\u304c\u843d\u4e0b\u3059\u308b\u3068\u304d\u3001\u305d\u306e\u7a7a\u9593\u306b\u304a\u3051\u308b\u76f8\u5bfe\u7684\u306a\u4f4d\u7f6e\u306b\u95a2\u9023\u3057\u305f\u30a8\u30cd\u30eb\u30ae\u30fc\u304c\u89e3\u653e\u3055\u308c\u308b\u3053\u3068\u304c\u308f\u304b\u308b\u3002\u3053\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u3092 <strong>\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc<\/strong> \u3068\u547c\u3076\u3002<\/p>\n<p style=\"text-align:center;\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\begin{array}{rr}{E_{pot} = mgh} &amp; (7)\\end{array}<\/span><\/span><\/p>\n<p><a name=\"21\"><\/a><\/p>\n<h3>\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u81ea\u7531\u843d\u4e0b<\/h3>\n<p style=\"text-align:justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=GXxkhk00quw&amp;t=329s\" target=\"_blank\" rel=\"noopener\"><strong>\u81ea\u7531\u843d\u4e0b\u306e\u554f\u984c\u3092\u601d\u3044\u51fa\u305d\u3046\u3002<\/strong><\/a> <a href=\"https:\/\/toposuranos.com\/movimiento-rectilineo-uniformemente-acelerado-mrua\/\" rel=\"noopener\" target=\"_blank\">\u81ea\u7531\u843d\u4e0b<\/a> \u306b\u304a\u3044\u3066\u3001\u3053\u308c\u307e\u3067\u5b66\u3093\u3067\u304d\u305f\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u7528\u3044\u308b\u3053\u3068\u3067\u3001\u843d\u4e0b\u901f\u5ea6\u3092\u3088\u308a\u7c21\u5358\u306b\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u308b\u3002\u30a8\u30cd\u30eb\u30ae\u30fc\u306f\u4fdd\u5b58\u7684\u306a\u6027\u8cea\u3092\u6301\u3064\u7269\u7406\u91cf\u306e\u4e00\u3064\u3067\u3042\u308a\u3001\u3059\u306a\u308f\u3061\u3001\u751f\u6210\u3082\u6d88\u6ec5\u3082\u305b\u305a\u3001\u5f62\u3092\u5909\u3048\u308b\u3060\u3051\u3067\u3042\u308b\u3002\u5730\u9762\u304b\u3089\u9ad8\u3055 <span class=\"katex-eq\" data-katex-display=\"false\">h<\/span> \u306e\u4f4d\u7f6e\u306b\u7269\u4f53\u304c\u3042\u308b\u3068\u304d\u3001\u91cd\u529b\u306b\u3088\u3063\u3066\u5730\u9762\u307e\u3067\u843d\u4e0b\u3059\u308b\u3068\u3001\u305d\u306e\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u306f\u6d88\u6ec5\u3059\u308b\u306e\u3067\u306f\u306a\u304f\u3001\u5225\u306e\u5f62\u306e\u30a8\u30cd\u30eb\u30ae\u30fc\u3001\u3059\u306a\u308f\u3061\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u3078\u3068\u5909\u63db\u3055\u308c\u308b\u3002\u3053\u306e\u3068\u304d\u6b21\u306e\u95a2\u4fc2\u304c\u6210\u308a\u7acb\u3064\u3002<\/p>\n<p style=\"text-align:center\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rl}\n\n    E_{pot,inicial} &amp; = E_{cin, final} \\\\ \\\\ mgh &amp;\\displaystyle = \\frac{1}{2}mv^2 \\\\ \\\\ v^2 &amp; = 2gh \\\\ \\\\ v&amp; =\\sqrt{2gh}\\end{array}<\/span>\n<table>\n<tbody>\n<tr>\n<td style=\"background-color: #ddddff;\">\n<h4 style=\"color: #800000;\">\u7df4\u7fd2\u554f\u984c<\/h4>\n<p>    <a href=\"https:\/\/www.youtube.com\/watch?v=GXxkhk00quw&amp;t=443s\" target=\"_blank\" rel=\"noopener\"><strong>\u30ed\u30fc\u30e9\u30fc\u30b3\u30fc\u30b9\u30bf\u30fc\u304c<\/strong><\/a> \u5730\u9762\u304b\u3089 150[m] \u306e\u9ad8\u3055\u306b\u51fa\u767a\u70b9\u3092\u6301\u3063\u3066\u3044\u308b\u3068\u3059\u308b\u3002\u8eca\u4e21\u304c\u6469\u64e6\u306a\u3057\u3067\u30ec\u30fc\u30eb\u4e0a\u3092\u52d5\u304d\u3001\u9759\u6b62\u72b6\u614b\u304b\u3089\u51fa\u767a\u3057\u305f\u5834\u5408\u3001\u6b21\u306e\u9ad8\u3055\u306b\u3042\u308b\u3068\u304d\u306e\u901f\u5ea6\u3092\u8a08\u7b97\u305b\u3088\u3002<\/p>\n<p>    <strong>a)<\/strong> \u5730\u9762\u304b\u3089 90[m] \u306e\u9ad8\u3055\u3002<\/p>\n<p>    <strong>b)<\/strong> \u5730\u9762\u304b\u3089 50[m] \u306e\u9ad8\u3055\u3002<\/p>\n<p>    <strong>c)<\/strong> \u5730\u9762\u304b\u3089 10[m] \u306e\u9ad8\u3055\u3002<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>\u4ed5\u4e8b\u3068\u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc \u8981\u7d04: \u672c\u8b1b\u7fa9\u30b7\u30ea\u30fc\u30ba\u3067\u306f\u3001\u4ed5\u4e8b\u3001\u30a8\u30cd\u30eb\u30ae\u30fc\u3001\u305d\u3057\u3066\u305d\u306e\u3044\u304f\u3064\u304b\u306e\u5f62\u614b\uff08\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\uff09\u306e\u95a2\u4fc2\u3092\u5b66\u7fd2\u3059\u308b\u3002\u3053\u308c\u3089\u306e\u5206\u6790\u304b\u3089\u3001\u521d\u901f\u5ea6\u3092\u3082\u3063\u3066\u51fa\u767a\u3057\u305f\u7269\u4f53\u304c\u505c\u6b62\u3059\u308b\u307e\u3067\u306b\u9032\u3080\u5236\u52d5\u8ddd\u96e2\u3092\u8a08\u7b97\u3057\u3001\u307e\u305f\u81ea\u7531\u843d\u4e0b\u306e\u7814\u7a76\u3092\u7c21\u7565\u5316\u3059\u308b\u3002 \u5b66\u7fd2\u76ee\u6a19 \u672c\u8b1b\u7fa9\u7d42\u4e86\u6642\u306b\u5b66\u751f\u306f\u6b21\u306e\u3053\u3068\u304c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308b: \u7406\u89e3\u3059\u308b \u4ed5\u4e8b\u3068\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u95a2\u4fc2\u3002 \u5fdc\u7528\u3059\u308b \u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5b9a\u7406\u3092\u7528\u3044\u3066\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u5909\u5316\u3092\u7406\u89e3\u3059\u308b\u3002 \u8aac\u660e\u3059\u308b \u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u6982\u5ff5\u3068\u3001\u305d\u308c\u304c\u91cd\u529b\u5834\u306b\u304a\u3051\u308b\u7269\u4f53\u306e\u4f4d\u7f6e\u3068\u3069\u306e\u3088\u3046\u306b\u95a2\u4fc2\u3059\u308b\u304b\u3002 \u76ee\u6b21 \u4ed5\u4e8b\u3068\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc \u4ed5\u4e8b\u3068\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u95a2\u4fc2 \u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u5236\u52d5\u8ddd\u96e2 \u4ed5\u4e8b\u3068\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc \u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u81ea\u7531\u843d\u4e0b \u4ed5\u4e8b\u3068\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc \u30d6\u30ed\u30c3\u30af\u306b\u529b\u3092\u52a0\u3048\u308b\u3068\u3001 \u79c1\u305f\u3061\u306f\u30b7\u30b9\u30c6\u30e0\u306b\u4f55\u304b\u3092\u52a0\u3048\u305f\u3088\u3046\u306b\u611f\u3058\u308b\u3002\u76f4\u611f\u7684\u306b\u306f\u300c\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u52a0\u3048\u3066\u3044\u308b\u300d\u3068\u8a00\u3046\u304c\u3001\u3053\u308c\u306f\u5fc5\u305a\u3057\u3082\u6b63\u3057\u304f\u306a\u3044\u3002\u3082\u3057\u305d\u306e\u529b\u304c\u9759\u6b62\u6469\u64e6\u3092\u7834\u308b\u306e\u306b\u5341\u5206\u3067\u306a\u3051\u308c\u3070\u3001\u30d6\u30ed\u30c3\u30af\u304c\u4f55\u304b\u5909\u5316\u3057\u305f\u304b\u3069\u3046\u304b\u3092\u8a00\u3046\u3053\u3068\u306f\u3067\u304d\u306a\u3044\u3002\u78ba\u304b\u306b\u300c\u52aa\u529b\u300d\u3068\u547c\u3079\u308b\u3088\u3046\u306a\u3082\u306e\u3092\u30b7\u30b9\u30c6\u30e0\u306b\u52a0\u3048\u3066\u306f\u3044\u308b\u304c\u3001\u9759\u6b62\u6469\u64e6\u306f\u305d\u306e\u300c\u52aa\u529b\u300d\u3092\u9006\u5411\u304d\u306b\u88dc\u3063\u3066\u8fd4\u3059\u3002\u3057\u304b\u3057\u3001\u9759\u6b62\u6469\u64e6\u304c\u7834\u308c\u308b\u3068\u30b7\u30b9\u30c6\u30e0\u306b\u5909\u5316\u304c\u660e\u78ba\u306b\u73fe\u308c\u308b\u3002\u3059\u306a\u308f\u3061\u3001\u65b0\u3057\u3044\u904b\u52d5\u72b6\u614b\u306b\u5165\u308b\u306e\u3067\u3042\u308b\u3002\u305d\u306e\u65b0\u3057\u3044\u904b\u52d5\u72b6\u614b\u3092\u751f\u3058\u3055\u305b\u308b\u305f\u3081\u306b\u3001\u30b7\u30b9\u30c6\u30e0\u306b\u300c\u65b0\u3057\u3044\u4f55\u304b\u300d\u3092\u52a0\u3048\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u3044\u3002\u305d\u306e\u300c\u4f55\u304b\u300d\u3053\u305d\u304c\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u547c\u3070\u308c\u308b\u3082\u306e\u3067\u3042\u308b\u3002 \u3053\u3053\u3067\u3001\u7269\u4f53\u3042\u308b\u3044\u306f\u30b7\u30b9\u30c6\u30e0\u306e\u72b6\u614b\u3092\u8a18\u8ff0\u3059\u308b\u4e8c\u3064\u306e\u7269\u7406\u91cf\u304c\u3042\u308b\u3002\u3059\u3067\u306b\u3088\u304f\u77e5\u3089\u308c\u3066\u3044\u308b\u904b\u52d5\u91cf\u306f\u904b\u52d5\u72b6\u614b\u3092\u8868\u3059\u3082\u306e\u3067\u3042\u308a\u3001\u3053\u308c\u304b\u3089\u5b66\u3076\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u306f \u7269\u4f53\u3084\u30b7\u30b9\u30c6\u30e0\u3092\u9759\u6b62\u72b6\u614b\u304b\u3089\u305d\u306e\u904b\u52d5\u72b6\u614b\u306b\u79fb\u3059\u305f\u3081\u306b\u52a0\u3048\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u304b\u3063\u305f\u3082\u306e \u3092\u8868\u3059\u3053\u3068\u306b\u306a\u308b\u3002 \u4ed5\u4e8b\u3068\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u306e\u95a2\u4fc2 \u518d\u3073\u30d6\u30ed\u30c3\u30af\u3068\u305d\u308c\u3092\u52d5\u304b\u3059\u529b\u306b\u623b\u308d\u3046\u3002 \u3082\u3057\u305d\u306e\u529b\u304c\u904b\u52d5\u3092\u751f\u3058\u306a\u3051\u308c\u3070\u3001\u30b7\u30b9\u30c6\u30e0\u306b\u4f55\u3082\u52a0\u3048\u3089\u308c\u3066\u3044\u306a\u3044\u3068\u8a00\u3048\u308b\u3002\u4e00\u65b9\u3067\u3001\u3082\u3057\u904b\u52d5\u3092\u751f\u3058\u308c\u3070\u3001\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc \u304c\u52a0\u3048\u3089\u308c\u305f\u3068\u8a00\u3048\u308b\u3002\u904b\u52d5\u304c\u751f\u3058\u308b\u3068\u3001\u7269\u4f53\u306f\u5fc5\u305a\u3042\u308b\u7d4c\u8def\u3092\u79fb\u52d5\u3057\u3001\u305d\u306e\u9593\u306b\u529b\u304c\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u52a0\u3048\u308b\u3002\u3053\u306e\u3088\u3046\u306b\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u52a0\u3048\u305f\u308a\u53d6\u308a\u9664\u3044\u305f\u308a\u3059\u308b\u884c\u70ba\u3092\u300c\u529b\u5b66\u7684\u4ed5\u4e8b\u3092\u3059\u308b\u300d\u3068\u547c\u3076\u3002\u305d\u3057\u3066\u3001\u529b\u5b66\u7684\u4ed5\u4e8b\u306e\u8981\u7d20 \u306f\u6b21\u306e\u5f0f\u3067\u5b9a\u7fa9\u3055\u308c\u308b\u3002 \u3053\u3053\u3067 \u306f\u52a0\u3048\u3089\u308c\u305f\u529b\u3067\u3042\u308a\u3001 \u306f\u305d\u306e\u529b\u304c\u4f5c\u7528\u3057\u305f\u5909\u4f4d\u8981\u7d20\u3067\u3042\u308b\u3002\u3053\u306e\u529b\u304c\u8cea\u91cf \u306e\u7269\u4f53\u306b\u4f5c\u7528\u3059\u308b\u306e\u3067\u3001\u30cb\u30e5\u30fc\u30c8\u30f3\u306e\u7b2c\u4e8c\u6cd5\u5247 \u3092\u7528\u3044\u3066\u6b21\u306e\u3088\u3046\u306b\u66f8\u3051\u308b\u3002 \u3057\u305f\u304c\u3063\u3066\u3001\u5f0f (1) \u3068 (2) \u304b\u3089\u6b21\u306e\u95a2\u4fc2\u304c\u5f97\u3089\u308c\u308b\u3002 \u3053\u306e\u6700\u5f8c\u306e\u5f0f\u3092\u7a4d\u5206\u3057\u3066\u3001\u884c\u308f\u308c\u305f\u5168\u4ed5\u4e8b\u3092\u6c42\u3081\u308b\u3068\u6b21\u306e\u3088\u3046\u306b\u306a\u308b\u3002 \u3053\u306e\u63a8\u8ad6\u304b\u3089\u3001\u529b\u5b66\u7684\u4ed5\u4e8b\u306f\u4e8c\u3064\u306e\u7570\u306a\u308b\u72b6\u614b\u306b\u304a\u3051\u308b\u540c\u4e00\u306e\u7269\u7406\u91cf\u306e\u5dee\u306b\u7b49\u3057\u3044\u3053\u3068\u304c\u308f\u304b\u308b\u3002\u4e00\u65b9\u306f\u6700\u7d42\u72b6\u614b\u306b\u5bfe\u5fdc\u3057\u3001\u3082\u3046\u4e00\u65b9\u306f\u521d\u671f\u72b6\u614b\u306b\u5bfe\u5fdc\u3059\u308b\u3002\u305d\u306e\u7269\u7406\u91cf\u306f\u904b\u52d5\u72b6\u614b\u3092\u5909\u5316\u3055\u305b\u308b\u305f\u3081\u306b\u52a0\u3048\uff08\u3042\u308b\u3044\u306f\u53d6\u308a\u9664\u304d\uff09\u306a\u3051\u308c\u3070\u306a\u3089\u306a\u304b\u3063\u305f\u3082\u306e\u3067\u3042\u308a\u3001\u3053\u308c\u3092 \u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc \u3068\u547c\u3076\u3002\u3057\u305f\u304c\u3063\u3066\u6b21\u306e\u5f0f\u3067\u5b9a\u7fa9\u3055\u308c\u308b\u3002 \u3057\u305f\u304c\u3063\u3066\u6b21\u306e\u95a2\u4fc2\u304c\u6210\u308a\u7acb\u3064\u3002 \u3053\u306e\u7d50\u679c\u306f \u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc\u4fdd\u5b58\u5b9a\u7406 \u3068\u3057\u3066\u77e5\u3089\u308c\u3066\u3044\u308b\u3002 \u7df4\u7fd2\u554f\u984c a) KIA Rio 5 \u306e\u3088\u3046\u306a\u81ea\u52d5\u8eca\u306f \u304a\u3088\u305d 1.580 kg [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":28589,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"iawp_total_views":73,"footnotes":""},"categories":[1266,1254],"tags":[],"class_list":["post-34494","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-1266","category-1254"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u4ed5\u4e8b\u3068\u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc - toposuranos.com\/material<\/title>\n<meta name=\"description\" content=\"\u4ed5\u4e8b\u3068\u30a8\u30cd\u30eb\u30ae\u30fc\u306f\u95a2\u9023\u3057\u3066\u3044\u308b\u3002\u4ed5\u4e8b\u3068\u306f\u3001\u529b\u304c\u7269\u4f53\u3092\u52d5\u304b\u3057\u3066\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u4e0e\u3048\u308b\u3053\u3068\u3067\u3042\u308b\u3002\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u306f\u3001\u7269\u4f53\u304c\u52d5\u3044\u305f\u308a\u5909\u5316\u3057\u305f\u308a\u3059\u308b\u3053\u3068\u3092\u53ef\u80fd\u306b\u3059\u308b\u3082\u306e\u3067\u3042\u308a\u3001\u4f8b\u3048\u3070\u904b\u52d5\u3057\u3066\u3044\u308b\u3068\u304d\uff08\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\uff09\u3084\u9ad8\u3044\u4f4d\u7f6e\u306b\u3042\u308b\u3068\u304d\uff08\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\uff09\u306b\u5b58\u5728\u3059\u308b\u3002\u8981\u3059\u308b\u306b\u3001\u4ed5\u4e8b\u306f\u7269\u4f53\u3092\u52d5\u304b\u3057\u305f\u308a\u5909\u5316\u3055\u305b\u305f\u308a\u3059\u308b\u305f\u3081\u306b\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u7528\u3044\u308b\u306e\u3067\u3042\u308b\u3002\" \/>\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\/ja\/\u4ed5\u4e8b\u3068\u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc\/\" \/>\n<meta property=\"og:locale\" content=\"es_ES\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u4ed5\u4e8b\u3068\u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc\" \/>\n<meta property=\"og:description\" content=\"\u4ed5\u4e8b\u3068\u30a8\u30cd\u30eb\u30ae\u30fc\u306f\u95a2\u9023\u3057\u3066\u3044\u308b\u3002\u4ed5\u4e8b\u3068\u306f\u3001\u529b\u304c\u7269\u4f53\u3092\u52d5\u304b\u3057\u3066\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u4e0e\u3048\u308b\u3053\u3068\u3067\u3042\u308b\u3002\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u306f\u3001\u7269\u4f53\u304c\u52d5\u3044\u305f\u308a\u5909\u5316\u3057\u305f\u308a\u3059\u308b\u3053\u3068\u3092\u53ef\u80fd\u306b\u3059\u308b\u3082\u306e\u3067\u3042\u308a\u3001\u4f8b\u3048\u3070\u904b\u52d5\u3057\u3066\u3044\u308b\u3068\u304d\uff08\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\uff09\u3084\u9ad8\u3044\u4f4d\u7f6e\u306b\u3042\u308b\u3068\u304d\uff08\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\uff09\u306b\u5b58\u5728\u3059\u308b\u3002\u8981\u3059\u308b\u306b\u3001\u4ed5\u4e8b\u306f\u7269\u4f53\u3092\u52d5\u304b\u3057\u305f\u308a\u5909\u5316\u3055\u305b\u305f\u308a\u3059\u308b\u305f\u3081\u306b\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u7528\u3044\u308b\u306e\u3067\u3042\u308b\u3002\" \/>\n<meta property=\"og:url\" content=\"http:\/\/toposuranos.com\/material\/ja\/\u4ed5\u4e8b\u3068\u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc\/\" \/>\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=\"2024-09-16T13:00:35+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-09-08T04:14:03+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/09\/energia-1024x585.jpg\" \/>\n<meta name=\"author\" content=\"giorgio.reveco\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:title\" content=\"\u4ed5\u4e8b\u3068\u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc\" \/>\n<meta name=\"twitter:description\" content=\"\u4ed5\u4e8b\u3068\u30a8\u30cd\u30eb\u30ae\u30fc\u306f\u95a2\u9023\u3057\u3066\u3044\u308b\u3002\u4ed5\u4e8b\u3068\u306f\u3001\u529b\u304c\u7269\u4f53\u3092\u52d5\u304b\u3057\u3066\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u4e0e\u3048\u308b\u3053\u3068\u3067\u3042\u308b\u3002\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u306f\u3001\u7269\u4f53\u304c\u52d5\u3044\u305f\u308a\u5909\u5316\u3057\u305f\u308a\u3059\u308b\u3053\u3068\u3092\u53ef\u80fd\u306b\u3059\u308b\u3082\u306e\u3067\u3042\u308a\u3001\u4f8b\u3048\u3070\u904b\u52d5\u3057\u3066\u3044\u308b\u3068\u304d\uff08\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\uff09\u3084\u9ad8\u3044\u4f4d\u7f6e\u306b\u3042\u308b\u3068\u304d\uff08\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\uff09\u306b\u5b58\u5728\u3059\u308b\u3002\u8981\u3059\u308b\u306b\u3001\u4ed5\u4e8b\u306f\u7269\u4f53\u3092\u52d5\u304b\u3057\u305f\u308a\u5909\u5316\u3055\u305b\u305f\u308a\u3059\u308b\u305f\u3081\u306b\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u7528\u3044\u308b\u306e\u3067\u3042\u308b\u3002\" \/>\n<meta name=\"twitter:image\" content=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/09\/energia.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\/ja\/%e4%bb%95%e4%ba%8b%e3%81%a8%e5%8a%9b%e5%ad%a6%e7%9a%84%e3%82%a8%e3%83%8d%e3%83%ab%e3%82%ae%e3%83%bc\/#article\",\"isPartOf\":{\"@id\":\"http:\/\/toposuranos.com\/material\/ja\/%e4%bb%95%e4%ba%8b%e3%81%a8%e5%8a%9b%e5%ad%a6%e7%9a%84%e3%82%a8%e3%83%8d%e3%83%ab%e3%82%ae%e3%83%bc\/\"},\"author\":{\"name\":\"giorgio.reveco\",\"@id\":\"http:\/\/toposuranos.com\/material\/#\/schema\/person\/e15164361c3f9a2a02cf6c234cf7fdc1\"},\"headline\":\"\u4ed5\u4e8b\u3068\u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc\",\"datePublished\":\"2024-09-16T13:00:35+00:00\",\"dateModified\":\"2025-09-08T04:14:03+00:00\",\"mainEntityOfPage\":{\"@id\":\"http:\/\/toposuranos.com\/material\/ja\/%e4%bb%95%e4%ba%8b%e3%81%a8%e5%8a%9b%e5%ad%a6%e7%9a%84%e3%82%a8%e3%83%8d%e3%83%ab%e3%82%ae%e3%83%bc\/\"},\"wordCount\":393,\"commentCount\":0,\"publisher\":{\"@id\":\"http:\/\/toposuranos.com\/material\/#organization\"},\"image\":{\"@id\":\"http:\/\/toposuranos.com\/material\/ja\/%e4%bb%95%e4%ba%8b%e3%81%a8%e5%8a%9b%e5%ad%a6%e7%9a%84%e3%82%a8%e3%83%8d%e3%83%ab%e3%82%ae%e3%83%bc\/#primaryimage\"},\"thumbnailUrl\":\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/09\/energia.jpg\",\"articleSection\":[\"\u529b\u5b66\u306e\u57fa\u790e\",\"\u7269\u7406\u5b66\"],\"inLanguage\":\"es\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"http:\/\/toposuranos.com\/material\/ja\/%e4%bb%95%e4%ba%8b%e3%81%a8%e5%8a%9b%e5%ad%a6%e7%9a%84%e3%82%a8%e3%83%8d%e3%83%ab%e3%82%ae%e3%83%bc\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"http:\/\/toposuranos.com\/material\/ja\/%e4%bb%95%e4%ba%8b%e3%81%a8%e5%8a%9b%e5%ad%a6%e7%9a%84%e3%82%a8%e3%83%8d%e3%83%ab%e3%82%ae%e3%83%bc\/\",\"url\":\"http:\/\/toposuranos.com\/material\/ja\/%e4%bb%95%e4%ba%8b%e3%81%a8%e5%8a%9b%e5%ad%a6%e7%9a%84%e3%82%a8%e3%83%8d%e3%83%ab%e3%82%ae%e3%83%bc\/\",\"name\":\"\u4ed5\u4e8b\u3068\u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc - toposuranos.com\/material\",\"isPartOf\":{\"@id\":\"http:\/\/toposuranos.com\/material\/#website\"},\"primaryImageOfPage\":{\"@id\":\"http:\/\/toposuranos.com\/material\/ja\/%e4%bb%95%e4%ba%8b%e3%81%a8%e5%8a%9b%e5%ad%a6%e7%9a%84%e3%82%a8%e3%83%8d%e3%83%ab%e3%82%ae%e3%83%bc\/#primaryimage\"},\"image\":{\"@id\":\"http:\/\/toposuranos.com\/material\/ja\/%e4%bb%95%e4%ba%8b%e3%81%a8%e5%8a%9b%e5%ad%a6%e7%9a%84%e3%82%a8%e3%83%8d%e3%83%ab%e3%82%ae%e3%83%bc\/#primaryimage\"},\"thumbnailUrl\":\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/09\/energia.jpg\",\"datePublished\":\"2024-09-16T13:00:35+00:00\",\"dateModified\":\"2025-09-08T04:14:03+00:00\",\"description\":\"\u4ed5\u4e8b\u3068\u30a8\u30cd\u30eb\u30ae\u30fc\u306f\u95a2\u9023\u3057\u3066\u3044\u308b\u3002\u4ed5\u4e8b\u3068\u306f\u3001\u529b\u304c\u7269\u4f53\u3092\u52d5\u304b\u3057\u3066\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u4e0e\u3048\u308b\u3053\u3068\u3067\u3042\u308b\u3002\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u306f\u3001\u7269\u4f53\u304c\u52d5\u3044\u305f\u308a\u5909\u5316\u3057\u305f\u308a\u3059\u308b\u3053\u3068\u3092\u53ef\u80fd\u306b\u3059\u308b\u3082\u306e\u3067\u3042\u308a\u3001\u4f8b\u3048\u3070\u904b\u52d5\u3057\u3066\u3044\u308b\u3068\u304d\uff08\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\uff09\u3084\u9ad8\u3044\u4f4d\u7f6e\u306b\u3042\u308b\u3068\u304d\uff08\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\uff09\u306b\u5b58\u5728\u3059\u308b\u3002\u8981\u3059\u308b\u306b\u3001\u4ed5\u4e8b\u306f\u7269\u4f53\u3092\u52d5\u304b\u3057\u305f\u308a\u5909\u5316\u3055\u305b\u305f\u308a\u3059\u308b\u305f\u3081\u306b\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u7528\u3044\u308b\u306e\u3067\u3042\u308b\u3002\",\"breadcrumb\":{\"@id\":\"http:\/\/toposuranos.com\/material\/ja\/%e4%bb%95%e4%ba%8b%e3%81%a8%e5%8a%9b%e5%ad%a6%e7%9a%84%e3%82%a8%e3%83%8d%e3%83%ab%e3%82%ae%e3%83%bc\/#breadcrumb\"},\"inLanguage\":\"es\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"http:\/\/toposuranos.com\/material\/ja\/%e4%bb%95%e4%ba%8b%e3%81%a8%e5%8a%9b%e5%ad%a6%e7%9a%84%e3%82%a8%e3%83%8d%e3%83%ab%e3%82%ae%e3%83%bc\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"es\",\"@id\":\"http:\/\/toposuranos.com\/material\/ja\/%e4%bb%95%e4%ba%8b%e3%81%a8%e5%8a%9b%e5%ad%a6%e7%9a%84%e3%82%a8%e3%83%8d%e3%83%ab%e3%82%ae%e3%83%bc\/#primaryimage\",\"url\":\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/09\/energia.jpg\",\"contentUrl\":\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/09\/energia.jpg\",\"width\":1792,\"height\":1024},{\"@type\":\"BreadcrumbList\",\"@id\":\"http:\/\/toposuranos.com\/material\/ja\/%e4%bb%95%e4%ba%8b%e3%81%a8%e5%8a%9b%e5%ad%a6%e7%9a%84%e3%82%a8%e3%83%8d%e3%83%ab%e3%82%ae%e3%83%bc\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Portada\",\"item\":\"https:\/\/toposuranos.com\/material\/es\/cursos-de-matematica-y-fisica\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u4ed5\u4e8b\u3068\u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc\"}]},{\"@type\":\"WebSite\",\"@id\":\"http:\/\/toposuranos.com\/material\/#website\",\"url\":\"http:\/\/toposuranos.com\/material\/\",\"name\":\"toposuranos.com\/material\",\"description\":\"\",\"publisher\":{\"@id\":\"http:\/\/toposuranos.com\/material\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"http:\/\/toposuranos.com\/material\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"es\"},{\"@type\":\"Organization\",\"@id\":\"http:\/\/toposuranos.com\/material\/#organization\",\"name\":\"toposuranos.com\/material\",\"url\":\"http:\/\/toposuranos.com\/material\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"es\",\"@id\":\"http:\/\/toposuranos.com\/material\/#\/schema\/logo\/image\/\",\"url\":\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/logo.png\",\"contentUrl\":\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/logo.png\",\"width\":2400,\"height\":2059,\"caption\":\"toposuranos.com\/material\"},\"image\":{\"@id\":\"http:\/\/toposuranos.com\/material\/#\/schema\/logo\/image\/\"},\"sameAs\":[\"https:\/\/www.facebook.com\/groups\/toposuranos\",\"https:\/\/x.com\/topuranos\",\"https:\/\/www.youtube.com\/channel\/UC16yDm12cPcrwsE0fAM7X1g\",\"https:\/\/www.linkedin.com\/company\/69429190\"]},{\"@type\":\"Person\",\"@id\":\"http:\/\/toposuranos.com\/material\/#\/schema\/person\/e15164361c3f9a2a02cf6c234cf7fdc1\",\"name\":\"giorgio.reveco\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"es\",\"@id\":\"http:\/\/toposuranos.com\/material\/#\/schema\/person\/image\/\",\"url\":\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/1694478625378-96x96.jpeg\",\"contentUrl\":\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/1694478625378-96x96.jpeg\",\"caption\":\"giorgio.reveco\"},\"description\":\"Soy Licenciado en F\u00edsica, Magister en Ingenier\u00eda Industrial y Docente Universitario. Me dedico a desmitificar la f\u00edsica y las matem\u00e1ticas. Mi objetivo es hacer que estos campos sean f\u00e1cilmente comprensibles para todos, proporcionando las herramientas para explorar no solo el mundo que nos rodea, sino tambi\u00e9n las profundidades de nuestra propia existencia y el orden natural que nos conecta con el cosmos.\",\"sameAs\":[\"http:\/\/toposuranos.com\/material\"],\"url\":\"http:\/\/toposuranos.com\/material\/author\/giorgio-reveco\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u4ed5\u4e8b\u3068\u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc - toposuranos.com\/material","description":"\u4ed5\u4e8b\u3068\u30a8\u30cd\u30eb\u30ae\u30fc\u306f\u95a2\u9023\u3057\u3066\u3044\u308b\u3002\u4ed5\u4e8b\u3068\u306f\u3001\u529b\u304c\u7269\u4f53\u3092\u52d5\u304b\u3057\u3066\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u4e0e\u3048\u308b\u3053\u3068\u3067\u3042\u308b\u3002\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u306f\u3001\u7269\u4f53\u304c\u52d5\u3044\u305f\u308a\u5909\u5316\u3057\u305f\u308a\u3059\u308b\u3053\u3068\u3092\u53ef\u80fd\u306b\u3059\u308b\u3082\u306e\u3067\u3042\u308a\u3001\u4f8b\u3048\u3070\u904b\u52d5\u3057\u3066\u3044\u308b\u3068\u304d\uff08\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\uff09\u3084\u9ad8\u3044\u4f4d\u7f6e\u306b\u3042\u308b\u3068\u304d\uff08\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\uff09\u306b\u5b58\u5728\u3059\u308b\u3002\u8981\u3059\u308b\u306b\u3001\u4ed5\u4e8b\u306f\u7269\u4f53\u3092\u52d5\u304b\u3057\u305f\u308a\u5909\u5316\u3055\u305b\u305f\u308a\u3059\u308b\u305f\u3081\u306b\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u7528\u3044\u308b\u306e\u3067\u3042\u308b\u3002","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"http:\/\/toposuranos.com\/material\/ja\/\u4ed5\u4e8b\u3068\u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc\/","og_locale":"es_ES","og_type":"article","og_title":"\u4ed5\u4e8b\u3068\u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc","og_description":"\u4ed5\u4e8b\u3068\u30a8\u30cd\u30eb\u30ae\u30fc\u306f\u95a2\u9023\u3057\u3066\u3044\u308b\u3002\u4ed5\u4e8b\u3068\u306f\u3001\u529b\u304c\u7269\u4f53\u3092\u52d5\u304b\u3057\u3066\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u4e0e\u3048\u308b\u3053\u3068\u3067\u3042\u308b\u3002\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u306f\u3001\u7269\u4f53\u304c\u52d5\u3044\u305f\u308a\u5909\u5316\u3057\u305f\u308a\u3059\u308b\u3053\u3068\u3092\u53ef\u80fd\u306b\u3059\u308b\u3082\u306e\u3067\u3042\u308a\u3001\u4f8b\u3048\u3070\u904b\u52d5\u3057\u3066\u3044\u308b\u3068\u304d\uff08\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\uff09\u3084\u9ad8\u3044\u4f4d\u7f6e\u306b\u3042\u308b\u3068\u304d\uff08\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\uff09\u306b\u5b58\u5728\u3059\u308b\u3002\u8981\u3059\u308b\u306b\u3001\u4ed5\u4e8b\u306f\u7269\u4f53\u3092\u52d5\u304b\u3057\u305f\u308a\u5909\u5316\u3055\u305b\u305f\u308a\u3059\u308b\u305f\u3081\u306b\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u7528\u3044\u308b\u306e\u3067\u3042\u308b\u3002","og_url":"http:\/\/toposuranos.com\/material\/ja\/\u4ed5\u4e8b\u3068\u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc\/","og_site_name":"toposuranos.com\/material","article_publisher":"https:\/\/www.facebook.com\/groups\/toposuranos","article_published_time":"2024-09-16T13:00:35+00:00","article_modified_time":"2025-09-08T04:14:03+00:00","og_image":[{"url":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/09\/energia-1024x585.jpg","type":"","width":"","height":""}],"author":"giorgio.reveco","twitter_card":"summary_large_image","twitter_title":"\u4ed5\u4e8b\u3068\u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc","twitter_description":"\u4ed5\u4e8b\u3068\u30a8\u30cd\u30eb\u30ae\u30fc\u306f\u95a2\u9023\u3057\u3066\u3044\u308b\u3002\u4ed5\u4e8b\u3068\u306f\u3001\u529b\u304c\u7269\u4f53\u3092\u52d5\u304b\u3057\u3066\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u4e0e\u3048\u308b\u3053\u3068\u3067\u3042\u308b\u3002\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u306f\u3001\u7269\u4f53\u304c\u52d5\u3044\u305f\u308a\u5909\u5316\u3057\u305f\u308a\u3059\u308b\u3053\u3068\u3092\u53ef\u80fd\u306b\u3059\u308b\u3082\u306e\u3067\u3042\u308a\u3001\u4f8b\u3048\u3070\u904b\u52d5\u3057\u3066\u3044\u308b\u3068\u304d\uff08\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\uff09\u3084\u9ad8\u3044\u4f4d\u7f6e\u306b\u3042\u308b\u3068\u304d\uff08\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\uff09\u306b\u5b58\u5728\u3059\u308b\u3002\u8981\u3059\u308b\u306b\u3001\u4ed5\u4e8b\u306f\u7269\u4f53\u3092\u52d5\u304b\u3057\u305f\u308a\u5909\u5316\u3055\u305b\u305f\u308a\u3059\u308b\u305f\u3081\u306b\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u7528\u3044\u308b\u306e\u3067\u3042\u308b\u3002","twitter_image":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/09\/energia.jpg","twitter_creator":"@topuranos","twitter_site":"@topuranos","twitter_misc":{"Escrito por":"giorgio.reveco","Tiempo de lectura":"1 minuto"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"http:\/\/toposuranos.com\/material\/ja\/%e4%bb%95%e4%ba%8b%e3%81%a8%e5%8a%9b%e5%ad%a6%e7%9a%84%e3%82%a8%e3%83%8d%e3%83%ab%e3%82%ae%e3%83%bc\/#article","isPartOf":{"@id":"http:\/\/toposuranos.com\/material\/ja\/%e4%bb%95%e4%ba%8b%e3%81%a8%e5%8a%9b%e5%ad%a6%e7%9a%84%e3%82%a8%e3%83%8d%e3%83%ab%e3%82%ae%e3%83%bc\/"},"author":{"name":"giorgio.reveco","@id":"http:\/\/toposuranos.com\/material\/#\/schema\/person\/e15164361c3f9a2a02cf6c234cf7fdc1"},"headline":"\u4ed5\u4e8b\u3068\u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc","datePublished":"2024-09-16T13:00:35+00:00","dateModified":"2025-09-08T04:14:03+00:00","mainEntityOfPage":{"@id":"http:\/\/toposuranos.com\/material\/ja\/%e4%bb%95%e4%ba%8b%e3%81%a8%e5%8a%9b%e5%ad%a6%e7%9a%84%e3%82%a8%e3%83%8d%e3%83%ab%e3%82%ae%e3%83%bc\/"},"wordCount":393,"commentCount":0,"publisher":{"@id":"http:\/\/toposuranos.com\/material\/#organization"},"image":{"@id":"http:\/\/toposuranos.com\/material\/ja\/%e4%bb%95%e4%ba%8b%e3%81%a8%e5%8a%9b%e5%ad%a6%e7%9a%84%e3%82%a8%e3%83%8d%e3%83%ab%e3%82%ae%e3%83%bc\/#primaryimage"},"thumbnailUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/09\/energia.jpg","articleSection":["\u529b\u5b66\u306e\u57fa\u790e","\u7269\u7406\u5b66"],"inLanguage":"es","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["http:\/\/toposuranos.com\/material\/ja\/%e4%bb%95%e4%ba%8b%e3%81%a8%e5%8a%9b%e5%ad%a6%e7%9a%84%e3%82%a8%e3%83%8d%e3%83%ab%e3%82%ae%e3%83%bc\/#respond"]}]},{"@type":"WebPage","@id":"http:\/\/toposuranos.com\/material\/ja\/%e4%bb%95%e4%ba%8b%e3%81%a8%e5%8a%9b%e5%ad%a6%e7%9a%84%e3%82%a8%e3%83%8d%e3%83%ab%e3%82%ae%e3%83%bc\/","url":"http:\/\/toposuranos.com\/material\/ja\/%e4%bb%95%e4%ba%8b%e3%81%a8%e5%8a%9b%e5%ad%a6%e7%9a%84%e3%82%a8%e3%83%8d%e3%83%ab%e3%82%ae%e3%83%bc\/","name":"\u4ed5\u4e8b\u3068\u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc - toposuranos.com\/material","isPartOf":{"@id":"http:\/\/toposuranos.com\/material\/#website"},"primaryImageOfPage":{"@id":"http:\/\/toposuranos.com\/material\/ja\/%e4%bb%95%e4%ba%8b%e3%81%a8%e5%8a%9b%e5%ad%a6%e7%9a%84%e3%82%a8%e3%83%8d%e3%83%ab%e3%82%ae%e3%83%bc\/#primaryimage"},"image":{"@id":"http:\/\/toposuranos.com\/material\/ja\/%e4%bb%95%e4%ba%8b%e3%81%a8%e5%8a%9b%e5%ad%a6%e7%9a%84%e3%82%a8%e3%83%8d%e3%83%ab%e3%82%ae%e3%83%bc\/#primaryimage"},"thumbnailUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/09\/energia.jpg","datePublished":"2024-09-16T13:00:35+00:00","dateModified":"2025-09-08T04:14:03+00:00","description":"\u4ed5\u4e8b\u3068\u30a8\u30cd\u30eb\u30ae\u30fc\u306f\u95a2\u9023\u3057\u3066\u3044\u308b\u3002\u4ed5\u4e8b\u3068\u306f\u3001\u529b\u304c\u7269\u4f53\u3092\u52d5\u304b\u3057\u3066\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u4e0e\u3048\u308b\u3053\u3068\u3067\u3042\u308b\u3002\u30a8\u30cd\u30eb\u30ae\u30fc\u3068\u306f\u3001\u7269\u4f53\u304c\u52d5\u3044\u305f\u308a\u5909\u5316\u3057\u305f\u308a\u3059\u308b\u3053\u3068\u3092\u53ef\u80fd\u306b\u3059\u308b\u3082\u306e\u3067\u3042\u308a\u3001\u4f8b\u3048\u3070\u904b\u52d5\u3057\u3066\u3044\u308b\u3068\u304d\uff08\u904b\u52d5\u30a8\u30cd\u30eb\u30ae\u30fc\uff09\u3084\u9ad8\u3044\u4f4d\u7f6e\u306b\u3042\u308b\u3068\u304d\uff08\u4f4d\u7f6e\u30a8\u30cd\u30eb\u30ae\u30fc\uff09\u306b\u5b58\u5728\u3059\u308b\u3002\u8981\u3059\u308b\u306b\u3001\u4ed5\u4e8b\u306f\u7269\u4f53\u3092\u52d5\u304b\u3057\u305f\u308a\u5909\u5316\u3055\u305b\u305f\u308a\u3059\u308b\u305f\u3081\u306b\u30a8\u30cd\u30eb\u30ae\u30fc\u3092\u7528\u3044\u308b\u306e\u3067\u3042\u308b\u3002","breadcrumb":{"@id":"http:\/\/toposuranos.com\/material\/ja\/%e4%bb%95%e4%ba%8b%e3%81%a8%e5%8a%9b%e5%ad%a6%e7%9a%84%e3%82%a8%e3%83%8d%e3%83%ab%e3%82%ae%e3%83%bc\/#breadcrumb"},"inLanguage":"es","potentialAction":[{"@type":"ReadAction","target":["http:\/\/toposuranos.com\/material\/ja\/%e4%bb%95%e4%ba%8b%e3%81%a8%e5%8a%9b%e5%ad%a6%e7%9a%84%e3%82%a8%e3%83%8d%e3%83%ab%e3%82%ae%e3%83%bc\/"]}]},{"@type":"ImageObject","inLanguage":"es","@id":"http:\/\/toposuranos.com\/material\/ja\/%e4%bb%95%e4%ba%8b%e3%81%a8%e5%8a%9b%e5%ad%a6%e7%9a%84%e3%82%a8%e3%83%8d%e3%83%ab%e3%82%ae%e3%83%bc\/#primaryimage","url":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/09\/energia.jpg","contentUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/09\/energia.jpg","width":1792,"height":1024},{"@type":"BreadcrumbList","@id":"http:\/\/toposuranos.com\/material\/ja\/%e4%bb%95%e4%ba%8b%e3%81%a8%e5%8a%9b%e5%ad%a6%e7%9a%84%e3%82%a8%e3%83%8d%e3%83%ab%e3%82%ae%e3%83%bc\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Portada","item":"https:\/\/toposuranos.com\/material\/es\/cursos-de-matematica-y-fisica\/"},{"@type":"ListItem","position":2,"name":"\u4ed5\u4e8b\u3068\u529b\u5b66\u7684\u30a8\u30cd\u30eb\u30ae\u30fc"}]},{"@type":"WebSite","@id":"http:\/\/toposuranos.com\/material\/#website","url":"http:\/\/toposuranos.com\/material\/","name":"toposuranos.com\/material","description":"","publisher":{"@id":"http:\/\/toposuranos.com\/material\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"http:\/\/toposuranos.com\/material\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"es"},{"@type":"Organization","@id":"http:\/\/toposuranos.com\/material\/#organization","name":"toposuranos.com\/material","url":"http:\/\/toposuranos.com\/material\/","logo":{"@type":"ImageObject","inLanguage":"es","@id":"http:\/\/toposuranos.com\/material\/#\/schema\/logo\/image\/","url":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/logo.png","contentUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/logo.png","width":2400,"height":2059,"caption":"toposuranos.com\/material"},"image":{"@id":"http:\/\/toposuranos.com\/material\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/groups\/toposuranos","https:\/\/x.com\/topuranos","https:\/\/www.youtube.com\/channel\/UC16yDm12cPcrwsE0fAM7X1g","https:\/\/www.linkedin.com\/company\/69429190"]},{"@type":"Person","@id":"http:\/\/toposuranos.com\/material\/#\/schema\/person\/e15164361c3f9a2a02cf6c234cf7fdc1","name":"giorgio.reveco","image":{"@type":"ImageObject","inLanguage":"es","@id":"http:\/\/toposuranos.com\/material\/#\/schema\/person\/image\/","url":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/1694478625378-96x96.jpeg","contentUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/1694478625378-96x96.jpeg","caption":"giorgio.reveco"},"description":"Soy Licenciado en F\u00edsica, Magister en Ingenier\u00eda Industrial y Docente Universitario. Me dedico a desmitificar la f\u00edsica y las matem\u00e1ticas. Mi objetivo es hacer que estos campos sean f\u00e1cilmente comprensibles para todos, proporcionando las herramientas para explorar no solo el mundo que nos rodea, sino tambi\u00e9n las profundidades de nuestra propia existencia y el orden natural que nos conecta con el cosmos.","sameAs":["http:\/\/toposuranos.com\/material"],"url":"http:\/\/toposuranos.com\/material\/author\/giorgio-reveco\/"}]}},"_links":{"self":[{"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/posts\/34494","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/comments?post=34494"}],"version-history":[{"count":0,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/posts\/34494\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/media\/28589"}],"wp:attachment":[{"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/media?parent=34494"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/categories?post=34494"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/tags?post=34494"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}