{"id":28594,"date":"2024-09-16T18:49:53","date_gmt":"2024-09-16T18:49:53","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=28594"},"modified":"2024-09-16T18:49:53","modified_gmt":"2024-09-16T18:49:53","slug":"%e5%8a%9f%e5%92%8c%e6%9c%ba%e6%a2%b0%e8%83%bd","status":"publish","type":"post","link":"https:\/\/toposuranos.com\/material\/zh\/%e5%8a%9f%e5%92%8c%e6%9c%ba%e6%a2%b0%e8%83%bd\/","title":{"rendered":"\u529f\u548c\u673a\u68b0\u80fd"},"content":{"rendered":"<p><center><\/p>\n<h1>\u529f\u548c\u673a\u68b0\u80fd<\/h1>\n<p><em><strong>\u6458\u8981\uff1a<\/strong><br \/>\n\u6211\u4eec\u5c06\u4e13\u95e8\u7528\u8fd9\u4e00\u7cfb\u5217\u8bfe\u7a0b\u6765\u7814\u7a76\u529f\u3001\u80fd\u91cf\u4ee5\u53ca\u5b83\u4eec\u7684\u4e00\u4e9b\u5f62\u5f0f\uff1a\u52a8\u80fd\u548c\u52bf\u80fd\u4e4b\u95f4\u7684\u5173\u7cfb\u3002\u901a\u8fc7\u8fd9\u4e9b\u5206\u6790\uff0c\u6211\u4eec\u5c06\u8ba1\u7b97\u4e00\u8f86\u79fb\u52a8\u7269\u4f53\u7684\u5236\u52a8\u8ddd\u79bb\uff0c\u8be5\u7269\u4f53\u4ece\u521d\u59cb\u901f\u5ea6\u5f00\u59cb\uff0c\u884c\u9a76\u81f3\u505c\u6b62\uff0c\u6211\u4eec\u8fd8\u5c06\u7b80\u5316\u5bf9\u81ea\u7531\u843d\u4f53\u7684\u7814\u7a76\u3002<\/em><\/p>\n<p style=\"text-align:center;\"><strong>\u5b66\u4e60\u76ee\u6807<\/strong><br \/>\n\u5728\u672c\u8282\u8bfe\u7ed3\u675f\u65f6\uff0c\u5b66\u751f\u5c06\u80fd\u591f\uff1a<\/p>\n<ol style=\"text-align:left;\">\n<li><strong>\u7406\u89e3<\/strong>\u529f\u4e0e\u52a8\u80fd\u4e4b\u95f4\u7684\u5173\u7cfb\u3002<\/li>\n<li><strong>\u5e94\u7528<\/strong>\u6d3b\u529b\u5b9a\u7406\u6765\u7406\u89e3\u52a8\u80fd\u7684\u53d8\u5316\u3002<\/li>\n<li><strong>\u89e3\u91ca<\/strong>\u52bf\u80fd\u7684\u6982\u5ff5\u53ca\u5176\u4e0e\u7269\u4f53\u5728\u5f15\u529b\u573a\u4e2d\u7684\u4f4d\u7f6e\u7684\u5173\u7cfb\u3002<\/li>\n<\/ol>\n<p><strong>\u76ee\u5f55<\/strong><br \/>\n<a href=\"#1\">\u529f\u548c\u52a8\u80fd<\/a><br \/>\n<a href=\"#11\">\u529f\u548c\u52a8\u80fd\u4e4b\u95f4\u7684\u5173\u7cfb<\/a><br \/>\n<a href=\"#12\">\u52a8\u80fd\u4e0e\u5236\u52a8\u8ddd\u79bb<\/a><br \/>\n<a href=\"#2\">\u529f\u548c\u52bf\u80fd<\/a><br \/>\n<a href=\"#21\">\u52bf\u80fd\u4e0e\u81ea\u7531\u843d\u4f53<\/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><\/p>\n<p><a name=\"1\"><\/a><\/p>\n<h2>\u529f\u548c\u52a8\u80fd<\/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>\u5f53\u6211\u4eec\u5bf9\u5757\u4f53\u65bd\u52a0\u4e00\u4e2a\u529b\u65f6\uff0c<\/strong><\/a> \u6211\u4eec\u611f\u89c9\u81ea\u5df1\u5411\u7cfb\u7edf\u4e2d\u6dfb\u52a0\u4e86\u4e00\u4e9b\u4e1c\u897f\uff1b\u76f4\u89c9\u4e0a\u6211\u4eec\u8bf4\u201c\u6211\u4eec\u6b63\u5728\u589e\u52a0\u80fd\u91cf\u201d\uff0c\u5c3d\u7ba1\u8fd9\u4e0d\u4e00\u5b9a\u662f\u771f\u7684\u3002\u5982\u679c\u529b\u4e0d\u8db3\u4ee5\u6253\u7834\u9759\u6469\u64e6\uff0c\u90a3\u4e48\u5c31\u65e0\u6cd5\u8bf4\u5757\u4f53\u662f\u5426\u53d1\u751f\u4e86\u53d8\u5316\u3002\u663e\u7136\uff0c\u6211\u4eec\u5411\u7cfb\u7edf\u4e2d\u6dfb\u52a0\u4e86\u4e00\u4e9b\u4e1c\u897f\uff0c\u53ef\u4ee5\u8bf4\u662f\u4e00\u79cd\u201c\u52aa\u529b\u201d\uff0c\u4f46\u540c\u6837\u53ef\u4ee5\u80af\u5b9a\u7684\u662f\uff0c\u9759\u6469\u64e6\u529b\u4f1a\u4ee5\u76f8\u53cd\u548c\u4e92\u8865\u7684\u65b9\u5411\u8fd4\u56de\u8fd9\u79cd\u201c\u52aa\u529b\u201d\u3002\u7136\u800c\uff0c\u5f53\u9759\u6469\u64e6\u529b\u88ab\u6253\u7834\u65f6\uff0c\u5c31\u53ef\u4ee5\u533a\u5206\u7cfb\u7edf\u4e2d\u7684\u53d8\u5316\uff1a\u5b83\u73b0\u5728\u5904\u4e8e\u4e0d\u540c\u7684\u8fd0\u52a8\u72b6\u6001\u3002\u4e3a\u4e86\u4ea7\u751f\u8fd9\u79cd\u65b0\u7684\u8fd0\u52a8\u72b6\u6001\uff0c\u6211\u4eec\u5fc5\u987b\u5411\u7cfb\u7edf\u4e2d\u6dfb\u52a0\u201c\u65b0\u7684\u4e1c\u897f\u201d\uff1a\u8fd9\u4e2a\u201c\u4e1c\u897f\u201d\u5c31\u662f\u6211\u4eec\u6240\u8bf4\u7684\u52a8\u80fd\u3002<\/p>\n<p style=\"text-align:justify;\">\u73b0\u5728\u6211\u4eec\u6709\u4e24\u4e2a\u63cf\u8ff0\u7269\u7406\u5bf9\u8c61\u6216\u7cfb\u7edf\u72b6\u6001\u7684\u7269\u7406\u91cf\uff1a\u6211\u4eec\u719f\u6089\u7684\u7ebf\u6027\u52a8\u91cf\uff0c\u5b83\u4ee3\u8868\u8fd0\u52a8\u72b6\u6001\uff0c\u4ee5\u53ca\u6211\u4eec\u5c06\u8981\u5f00\u59cb\u7814\u7a76\u7684\u52a8\u80fd\uff0c\u5b83\u76ee\u524d<em>\u4ee3\u8868\u6211\u4eec\u5fc5\u987b\u589e\u52a0\u7684\u91cf\uff0c\u4ee5\u5c06\u7269\u4f53\u6216\u7cfb\u7edf\u4ece\u9759\u6b62\u5e26\u5230\u8fd9\u4e2a\u8fd0\u52a8\u72b6\u6001\u3002<\/em><\/p>\n<p><a name=\"11\"><\/a><\/p>\n<h3>\u529f\u548c\u52a8\u80fd\u4e4b\u95f4\u7684\u5173\u7cfb<\/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>\u8ba9\u6211\u4eec\u56de\u5230\u5757\u4f53\u548c\u65bd\u52a0\u7684\u529b\u4e0a<\/strong><\/a>\uff0c\u8fd9\u4e2a\u529b\u8ba9\u5b83\u5f00\u59cb\u8fd0\u52a8\u3002\u5982\u679c\u529b\u6ca1\u6709\u4ea7\u751f\u8fd0\u52a8\uff0c\u90a3\u4e48\u6211\u4eec\u8bf4\u5b83\u6ca1\u6709\u5411\u7cfb\u7edf\u6dfb\u52a0\u4efb\u4f55\u4e1c\u897f\uff1b\u800c\u5982\u679c\u5b83\u4ea7\u751f\u4e86\u8fd0\u52a8\uff0c\u6211\u4eec\u8bf4\u5b83\u589e\u52a0\u4e86<strong>\u52a8\u80fd\u3002<\/strong> \u5728\u8fd0\u52a8\u53d1\u751f\u65f6\uff0c\u7269\u4f53\u5fc5\u7136\u6cbf\u7740\u4e00\u5b9a\u7684\u8def\u5f84\u79fb\u52a8\uff0c\u800c\u5728\u6b64\u8fc7\u7a0b\u4e2d\uff0c\u529b\u4f1a\u589e\u52a0\u80fd\u91cf\u3002\u6211\u4eec\u5c06\u8fd9\u79cd\u589e\u52a0\u6216\u51cf\u5c11\u52a8\u80fd\u7684\u884c\u4e3a\u79f0\u4e3a\u201c\u505a\u529f\u201d\uff0c\u56e0\u6b64\uff0c<strong>\u901a\u8fc7\u65b9\u7a0b\u5b9a\u4e49\u4e86\u673a\u68b0\u529f\u5143<span class=\"katex-eq\" data-katex-display=\"false\">dW<\/span><\/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;\">\u5176\u4e2d <span class=\"katex-eq\" data-katex-display=\"false\">\\vec{F}<\/span> \u662f\u65bd\u52a0\u7684\u529b\uff0c<span class=\"katex-eq\" data-katex-display=\"false\">d\\vec{r}<\/span> \u662f\u529b\u4f5c\u7528\u4e0b\u7684\u4f4d\u79fb\u5143\u3002\u7531\u4e8e\u8fd9\u4e2a\u529b\u65bd\u52a0\u5728\u8d28\u91cf\u4e3a <span class=\"katex-eq\" data-katex-display=\"false\">m,<\/span> \u7684\u7269\u4f53\u4e0a\uff0c\u4f7f\u7528 <a href=\"https:\/\/toposuranos.com\/las-leyes-de-newton\/\" target=\"_blank\" rel=\"noopener\">\u725b\u987f\u7b2c\u4e8c\u5b9a\u5f8b<\/a> \u6211\u4eec\u53ef\u4ee5\u5199\u51fa<\/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;\">\u56e0\u6b64\uff0c\u6839\u636e\u65b9\u7a0b (1) \u548c (2) \u6211\u4eec\u6709<\/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;\">\u901a\u8fc7\u5bf9\u8fd9\u4e2a\u8868\u8fbe\u5f0f\u79ef\u5206\u4ee5\u83b7\u5f97\u6240\u505a\u7684\u603b\u529f\uff0c\u6211\u4eec\u5f97\u5230\uff1a<\/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;\">\u6839\u636e\u8fd9\u4e2a\u63a8\u7406\uff0c\u6211\u4eec\u53ef\u4ee5\u770b\u5230\u673a\u68b0\u529f\u76f8\u5f53\u4e8e\u5728\u4e24\u4e2a\u4e0d\u540c\u72b6\u6001\u4e0b\u76f8\u540c\u91cf\u7684\u5dee\u5f02\uff0c\u4e00\u4e2a\u5bf9\u5e94\u4e8e\u6700\u7ec8\u72b6\u6001\uff0c\u53e6\u4e00\u4e2a\u5bf9\u5e94\u4e8e\u521d\u59cb\u72b6\u6001\u3002\u8fd9\u6837\u7684\u91cf\u5bf9\u5e94\u4e8e\u6211\u4eec\u5fc5\u987b\u6dfb\u52a0\uff08\u6216\u79fb\u9664\uff09\u7684\u91cf\uff0c\u4ee5\u6539\u53d8\u8fd0\u52a8\u72b6\u6001\uff0c\u8fd9\u5c31\u662f\u6211\u4eec\u6240\u8bf4\u7684<strong>\u52a8\u80fd\uff0c<\/strong>\u56e0\u6b64\u901a\u8fc7\u4ee5\u4e0b\u65b9\u7a0b\u5b9a\u4e49\uff1a<\/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;\">\u56e0\u6b64\u6211\u4eec\u6709<\/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;\">\u8fd9\u5c31\u662f\u6240\u8c13\u7684<strong>\u6d3b\u529b\u5b9a\u7406\u3002<\/strong><\/p>\n<table>\n<tbody>\n<tr>\n<td style=\"background-color: #ddddff;\">\n<h4 style=\"color: #800000;\">\u7ec3\u4e60<\/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\">\u4e00\u8f86\u50cf KIA Rio 5 \u8fd9\u6837\u7684\u8f66\u8f86\u91cd\u91cf<\/a><\/strong>\u7ea6\u4e3a 1580 \u516c\u65a4\u3002\u60f3\u8c61\u4e00\u4e0b\u4f60\u5728\u57ce\u5e02\u4e2d\u4ee5 50 \u516c\u91cc\/\u5c0f\u65f6\u7684\u901f\u5ea6\u9a7e\u9a76\u8fd9\u8f86\u8f66\uff0c\u9047\u5230\u4e00\u4e2a\u7ea2\u706f\u3002\u4e3a\u4e86\u505c\u8f66\uff0c\u8f66\u8f86\u5fc5\u987b\u901a\u8fc7\u5236\u52a8\u7cfb\u7edf\u6d88\u6563\u80fd\u91cf\u3002\u7136\u540e\uff0c\u4e3a\u4e86\u6062\u590d\u901f\u5ea6\uff0c\u5fc5\u987b\u901a\u8fc7\u53d1\u52a8\u673a\u4ece\u71c3\u6599\u4e2d\u83b7\u53d6\u80fd\u91cf\u3002\u5982\u679c\u4fe1\u53f7\u706f\u662f\u7eff\u8272\u7684\uff0c\u5219\u6ca1\u6709\u5fc5\u8981\u5239\u8f66\uff0c\u4ece\u800c\u8282\u7701\u80fd\u91cf\u3002\u8ba1\u7b97\u5982\u679c\u4fe1\u53f7\u706f\u662f\u7eff\u8272\u7684\u8282\u7701\u7684\u80fd\u91cf\u3002<\/p>\n<p>    <strong>b)<\/strong> \u91cd\u590d\u4e0a\u4e00\u90e8\u5206\u7684\u8ba1\u7b97\uff0c\u4f46\u73b0\u5728\u5047\u8bbe\u4f60\u4ee5\u8f83\u4e0d\u6e29\u548c\u7684\u901f\u5ea6 70 \u516c\u91cc\/\u5c0f\u65f6\u9a7e\u9a76\u3002\u5c06\u989d\u5916\u7684\u80fd\u91cf\u6d88\u8017\u4ee5\u767e\u5206\u6bd4\u5f62\u5f0f\u8868\u793a\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><\/p>\n<p><a name=\"12\"><\/a><\/p>\n<h3>\u52a8\u80fd\u4e0e\u5236\u52a8\u8ddd\u79bb<\/h3>\n<p style=\"text-align:justify;\">\u9a7e\u9a76\u5458\u5e38\u72af\u7684\u4e00\u4e2a\u9519\u8bef\u662f\u76f4\u89c9\u8ba4\u4e3a\u5236\u52a8\u8ddd\u79bb\u4e0e\u901f\u5ea6\u6210\u6b63\u6bd4\uff1a\u5982\u679c\u6211\u4eec\u5c06\u901f\u5ea6\u52a0\u500d\uff0c\u5236\u52a8\u8ddd\u79bb\u4e5f\u4f1a\u52a0\u500d\u3002\u5728\u672c\u8282\u4e2d\uff0c\u6211\u4eec\u5c06\u68c0\u67e5\u8fd9\u79cd\u76f4\u89c9\u80cc\u540e\u7684\u9519\u8bef\uff0c\u5e76\u8bc1\u660e\u5b9e\u9645\u4e0a\u5236\u52a8\u8ddd\u79bb\u4e0e\u901f\u5ea6\u7684\u5e73\u65b9\u6210\u6b63\u6bd4\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>\u5047\u8bbe\u6211\u4eec\u6709\u4e00\u4e2a\u8d28\u91cf\u4e3a<\/strong><\/a> <span class=\"katex-eq\" data-katex-display=\"false\">m<\/span> \u7684\u5757\u4f53\u5728\u6c34\u5e73\u9762\u4e0a\u4ee5\u521d\u59cb\u901f\u5ea6 <span class=\"katex-eq\" data-katex-display=\"false\">v_i\\hat{x}<\/span> \u79fb\u52a8\uff0c\u4e14\u5b58\u5728\u52a8\u6469\u64e6\u7cfb\u6570 <span class=\"katex-eq\" data-katex-display=\"false\">\\mu_c.<\/span> \u4ece\u4e2d\u6211\u4eec\u53ef\u4ee5\u770b\u5230\u5b58\u5728\u4e00\u4e2a\u4e0e\u8fd0\u52a8\u65b9\u5411\u76f8\u53cd\u7684\u6469\u64e6\u529b <span class=\"katex-eq\" data-katex-display=\"false\">\\vec{F}_{roce}=-\\mu_c mg\\hat{x}<\/span>\uff0c\u8fd9\u4e2a\u529b\u5c06\u4f5c\u7528\u5230\u7269\u4f53\u505c\u6b62\u540e\u5e76\u7ecf\u8fc7\u5236\u52a8\u8ddd\u79bb <span class=\"katex-eq\" data-katex-display=\"false\">x_{fre}.<\/span> \u8fd9\u4e2a\u529b\u6240\u505a\u7684\u529f\u662f\uff1a<\/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;\">\u53e6\u4e00\u65b9\u9762\uff0c\u4e00\u4e2a\u4ee5\u521d\u59cb\u901f\u5ea6 <span class=\"katex-eq\" data-katex-display=\"false\">v_i<\/span> \u5f00\u59cb\u5e76\u8fbe\u5230\u9759\u6b62\u7684\u7269\u4f53\uff08\u6700\u7ec8\u901f\u5ea6 <span class=\"katex-eq\" data-katex-display=\"false\">v_f=0<\/span>\uff09\u7684\u52a8\u80fd\u53d8\u5316\u662f\uff1a<\/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;\">\u56e0\u6b64\uff0c\u5982\u679c\u6240\u6709\u52a8\u80fd\u90fd\u901a\u8fc7\u6469\u64e6\u88ab\u6d88\u8017\u76f4\u5230\u5c06\u7269\u4f53\u5e26\u5230\u9759\u6b62\u72b6\u6001\uff0c\u6211\u4eec\u5c06\u6709\uff1a<\/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;\">\u7531\u6b64\u6211\u4eec\u5f97\u5230\u4e86\u60f3\u8981\u8bc1\u660e\u7684\u7ed3\u679c\uff0c\u5373\u5236\u52a8\u8ddd\u79bb\u4e0e\u901f\u5ea6\u7684\u5e73\u65b9\u6210\u6b63\u6bd4\u3002<\/p>\n<table>\n<tbody>\n<tr>\n<td style=\"background-color: #ddddff;\">\n<h4 style=\"color: #800000;\">\u7ec3\u4e60<\/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>\u4e00\u4e2a 300[kg] \u7684\u5757\u4f53\u4ee5<\/strong><\/a> 15[km\/h] \u7684\u901f\u5ea6\u5728\u6c34\u5e73\u9762\u4e0a\u79fb\u52a8\u3002\u5982\u679c\u5728\u6c34\u5e73\u9762\u548c\u5757\u4f53\u4e4b\u95f4\u5b58\u5728\u52a8\u6469\u64e6 <span class=\"katex-eq\" data-katex-display=\"false\">\\mu_c=0,67.<\/span> \u8ba1\u7b97\u5757\u4f53\u79fb\u52a8\u5230\u5b8c\u5168\u505c\u6b62\u6240\u7ecf\u8fc7\u7684\u8ddd\u79bb\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>\u529f\u548c\u52bf\u80fd<\/h2>\n<p style=\"text-align:justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=GXxkhk00quw&amp;t=6s\" target=\"_blank\" rel=\"noopener\"><strong>\u60f3\u8c61\u6211\u4eec\u6709\u4e00\u4e2a\u7269\u4f53<\/strong><\/a>\u8d28\u91cf\u4e3a <span class=\"katex-eq\" data-katex-display=\"false\">m<\/span>\uff0c\u4ece\u9ad8\u5ea6 <span class=\"katex-eq\" data-katex-display=\"false\">h_i<\/span> \u4e0b\u843d\u5230\u6700\u7ec8\u9ad8\u5ea6 <span class=\"katex-eq\" data-katex-display=\"false\">h_f<\/span> \uff08\u5176\u4e2d <span class=\"katex-eq\" data-katex-display=\"false\">h_f \\leq h_i<\/span>\uff09\u3002\u90a3\u4e48\u7531\u91cd\u529b\u505a\u7684\u529f\u4e3a\uff1a<\/p>\n<p style=\"text-align:center;\"><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>\n<p style=\"text-align:justify;\">\u4ece\u4e2d\u6211\u4eec\u53ef\u4ee5\u77e5\u9053\uff0c\u5982\u679c\u521d\u59cb\u9ad8\u5ea6\u662f <span class=\"katex-eq\" data-katex-display=\"false\">h_i = h<\/span>\uff0c\u800c\u6700\u7ec8\u9ad8\u5ea6\u5728\u5730\u9762 <span class=\"katex-eq\" data-katex-display=\"false\">h_f = 0<\/span>\uff0c\u90a3\u4e48\u6211\u4eec\u5c06\u6709\uff1a<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle W_g = -mg(0 - h) = mgh<\/span>\n<p style=\"text-align:justify;\">\u56e0\u6b64\uff0c\u6211\u4eec\u5f97\u51fa\uff0c\u5f53\u4e00\u4e2a\u7269\u4f53\u4ece\u9ad8\u5ea6 <span class=\"katex-eq\" data-katex-display=\"false\">h<\/span> \u4e0b\u843d\u65f6\uff0c\u4f1a\u91ca\u653e\u4e0e\u5176\u5728\u7a7a\u95f4\u4e2d\u7684\u76f8\u5bf9\u4f4d\u7f6e\u76f8\u5173\u7684\u80fd\u91cf\u3002\u8fd9\u79cd\u80fd\u91cf\u6211\u4eec\u79f0\u4e4b\u4e3a<strong>\u52bf\u80fd\u3002<\/strong><\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\begin{array}{rr}{E_{pot} = mgh} &amp; (7)\\end{array}<\/span>\n<p><a name=\"21\"><\/a><\/p>\n<h3>\u52bf\u80fd\u4e0e\u81ea\u7531\u843d\u4f53<\/h3>\n<p style=\"text-align:justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=GXxkhk00quw&amp;t=329s\" target=\"_blank\" rel=\"noopener\"><strong>\u8ba9\u6211\u4eec\u56de\u987e\u81ea\u7531\u843d\u4f53\u95ee\u9898<\/strong><\/a>\u3002\u73b0\u5728\u5229\u7528\u6211\u4eec\u6240\u7814\u7a76\u7684\u52bf\u80fd\u548c\u52a8\u80fd\uff0c\u6211\u4eec\u53ef\u4ee5\u7528\u4e00\u4e2a\u7b80\u5355\u5f97\u591a\u7684\u7a0b\u5e8f\u6765\u627e\u5230\u4e0b\u843d\u901f\u5ea6\u3002\u80fd\u91cf\u662f\u53e6\u4e00\u79cd\u5177\u6709\u4fdd\u5b88\u6027\u8d28\u7684\u7269\u7406\u91cf\uff1b\u4e5f\u5c31\u662f\u8bf4\uff0c\u5b83\u4e0d\u4f1a\u88ab\u521b\u9020\u6216\u6bc1\u706d\uff0c\u53ea\u4f1a\u88ab\u8f6c\u5316\u3002\u5f53\u6211\u4eec\u6709\u4e00\u4e2a\u7269\u4f53\u653e\u7f6e\u5728\u79bb\u5730\u9762\u9ad8\u5ea6 <span class=\"katex-eq\" data-katex-display=\"false\">h<\/span> \u5904\uff0c\u5f53\u5b83\u5728\u91cd\u529b\u4f5c\u7528\u4e0b\u6389\u5230\u5730\u9762\u65f6\uff0c\u5b83\u7684\u52bf\u80fd\u4e0d\u4f1a\u6d88\u5931\uff0c\u800c\u662f\u8f6c\u5316\u4e3a\u53e6\u4e00\u79cd\u5f62\u5f0f\u7684\u80fd\u91cf\uff1a\u8fd0\u52a8\u80fd\u91cf\uff0c\u56e0\u6b64\u6211\u4eec\u5c06\u6709\uff1a<\/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;\">\u7ec3\u4e60<\/h4>\n<p>    <a href=\"https:\/\/www.youtube.com\/watch?v=GXxkhk00quw&amp;t=443s\" target=\"_blank\" rel=\"noopener\"><strong>\u4e00\u4e2a\u8fc7\u5c71\u8f66\u7684\u8d77\u70b9<\/strong><\/a>\u79bb\u5730\u9762\u6709 150[m] \u7684\u9ad8\u5ea6\u3002\u5982\u679c\u8f66\u53a2\u5728\u8fc7\u5c71\u8f66\u8f68\u9053\u4e0a\u65e0\u6469\u64e6\u79fb\u52a8\u5e76\u4ece\u9759\u6b62\u5f00\u59cb\uff0c\u8ba1\u7b97\u5b83\u5728\u4ee5\u4e0b\u9ad8\u5ea6\u65f6\u7684\u901f\u5ea6\uff1a<\/p>\n<p>    <strong>a)<\/strong> \u79bb\u5730\u9762 90[m] \u7684\u9ad8\u5ea6\u3002<\/p>\n<p>    <strong>b)<\/strong> \u79bb\u5730\u9762 50[m] \u7684\u9ad8\u5ea6\u3002<\/p>\n<p>    <strong>c)<\/strong> \u79bb\u5730\u9762 10[m] \u7684\u9ad8\u5ea6\u3002<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>\u529f\u548c\u673a\u68b0\u80fd \u6458\u8981\uff1a \u6211\u4eec\u5c06\u4e13\u95e8\u7528\u8fd9\u4e00\u7cfb\u5217\u8bfe\u7a0b\u6765\u7814\u7a76\u529f\u3001\u80fd\u91cf\u4ee5\u53ca\u5b83\u4eec\u7684\u4e00\u4e9b\u5f62\u5f0f\uff1a\u52a8\u80fd\u548c\u52bf\u80fd\u4e4b\u95f4\u7684\u5173\u7cfb\u3002\u901a\u8fc7\u8fd9\u4e9b\u5206\u6790\uff0c\u6211\u4eec\u5c06\u8ba1\u7b97\u4e00\u8f86\u79fb\u52a8\u7269\u4f53\u7684\u5236\u52a8\u8ddd\u79bb\uff0c\u8be5\u7269\u4f53\u4ece\u521d\u59cb\u901f\u5ea6\u5f00\u59cb\uff0c\u884c\u9a76\u81f3\u505c\u6b62\uff0c\u6211\u4eec\u8fd8\u5c06\u7b80\u5316\u5bf9\u81ea\u7531\u843d\u4f53\u7684\u7814\u7a76\u3002 \u5b66\u4e60\u76ee\u6807 \u5728\u672c\u8282\u8bfe\u7ed3\u675f\u65f6\uff0c\u5b66\u751f\u5c06\u80fd\u591f\uff1a \u7406\u89e3\u529f\u4e0e\u52a8\u80fd\u4e4b\u95f4\u7684\u5173\u7cfb\u3002 \u5e94\u7528\u6d3b\u529b\u5b9a\u7406\u6765\u7406\u89e3\u52a8\u80fd\u7684\u53d8\u5316\u3002 \u89e3\u91ca\u52bf\u80fd\u7684\u6982\u5ff5\u53ca\u5176\u4e0e\u7269\u4f53\u5728\u5f15\u529b\u573a\u4e2d\u7684\u4f4d\u7f6e\u7684\u5173\u7cfb\u3002 \u76ee\u5f55 \u529f\u548c\u52a8\u80fd \u529f\u548c\u52a8\u80fd\u4e4b\u95f4\u7684\u5173\u7cfb \u52a8\u80fd\u4e0e\u5236\u52a8\u8ddd\u79bb \u529f\u548c\u52bf\u80fd \u52bf\u80fd\u4e0e\u81ea\u7531\u843d\u4f53 \u529f\u548c\u52a8\u80fd \u5f53\u6211\u4eec\u5bf9\u5757\u4f53\u65bd\u52a0\u4e00\u4e2a\u529b\u65f6\uff0c 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