{"id":29257,"date":"2021-03-31T13:00:12","date_gmt":"2021-03-31T13:00:12","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=29257"},"modified":"2024-09-24T19:39:52","modified_gmt":"2024-09-24T19:39:52","slug":"%e6%b5%ae%e5%8a%9b%e4%b8%8e%e9%98%bf%e5%9f%ba%e7%b1%b3%e5%be%b7%e5%8e%9f%e7%90%86","status":"publish","type":"post","link":"http:\/\/toposuranos.com\/material\/zh\/%e6%b5%ae%e5%8a%9b%e4%b8%8e%e9%98%bf%e5%9f%ba%e7%b1%b3%e5%be%b7%e5%8e%9f%e7%90%86\/","title":{"rendered":"\u6d6e\u529b\u4e0e\u963f\u57fa\u7c73\u5fb7\u539f\u7406"},"content":{"rendered":"<p><center><\/p>\n<h1>\u6d6e\u529b\u4e0e\u963f\u57fa\u7c73\u5fb7\u539f\u7406<\/h1>\n<p><em><strong>\u6982\u8981\uff1a<\/strong><br \/>\n\u672c\u8bfe\u5c06\u89e3\u91ca\u6d6e\u529b\u73b0\u8c61\u53ca\u963f\u57fa\u7c73\u5fb7\u539f\u7406\uff0c\u5c55\u793a\u6d78\u6ca1\u5728\u6d41\u4f53\u4e2d\u7684\u7269\u4f53\u5982\u4f55\u53d7\u5230\u7b49\u4e8e\u6240\u6392\u5f00\u6d41\u4f53\u91cd\u91cf\u7684\u6d6e\u529b\u4f5c\u7528\u3002\u4f7f\u7528\u8fd9\u4e00\u539f\u7406\u53ef\u4ee5\u8ba1\u7b97\u7269\u4f53\u6d6e\u51fa\u6d41\u4f53\u8868\u9762\u7684\u90e8\u5206\uff0c\u914d\u5408\u5b9e\u7528\u7684\u4f8b\u5b50\u8fdb\u884c\u8bb2\u89e3\u3002<br \/>\n    <\/em><\/p>\n<p>    <strong>\u5b66\u4e60\u76ee\u6807<\/strong><br \/>\n    \u5b8c\u6210\u672c\u8bfe\u540e\uff0c\u5b66\u751f\u5c06\u80fd\u591f\uff1a<\/p>\n<ol style=\"text-align:left;\">\n<li><strong>\u7406\u89e3<\/strong>\u963f\u57fa\u7c73\u5fb7\u539f\u7406\u53ca\u5176\u4e0e\u6d6e\u529b\u7684\u5173\u7cfb\u3002<\/li>\n<li><strong>\u8ba1\u7b97<\/strong>\u6d78\u6ca1\u5728\u6d41\u4f53\u4e2d\u7684\u7269\u4f53\u7684\u6d6e\u529b\u3002<\/li>\n<li><strong>\u786e\u5b9a<\/strong>\u57fa\u4e8e\u76f8\u5bf9\u5bc6\u5ea6\uff0c\u6d6e\u4f53\u4e2d\u6709\u591a\u5c11\u90e8\u5206\u6d6e\u51fa\u6d41\u4f53\u8868\u9762\u3002<\/li>\n<\/ol>\n<p><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/nikSJceTxJ0\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center><\/p>\n<h2>\u6d6e\u529b<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=nikSJceTxJ0&amp;t=126s\" target=\"_blank\" rel=\"noopener\"><strong>\u5f53\u6211\u4eec\u8c08\u5230\u6d6e\u529b\u65f6\uff0c<\/strong><\/a> \u6211\u4eec\u9996\u5148\u60f3\u5230\u7684\u662f\u7269\u4f53\u5728\u6d78\u6ca1\u5728\u6d41\u4f53\u4e2d\u65f6\u4f1a\u53d8\u8f7b\u3002\u4f8b\u5982\uff0c\u4e00\u5757\u5728\u6c34\u4e0b\u96be\u4ee5\u4e3e\u8d77\u7684\u77f3\u5934\uff0c\u5728\u6c34\u5916\u51e0\u4e4e\u4e0d\u53ef\u80fd\u642c\u52a8\u3002\u8fd9\u4e00\u73b0\u8c61\u53ef\u4ee5\u901a\u8fc7\u6d6e\u529b\u89e3\u91ca\u3002<\/p>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=nikSJceTxJ0&amp;t=207s\" target=\"_blank\" rel=\"noopener\"><strong>\u5f53\u7269\u4f53\u88ab\u6d78\u6ca1\u5728\u6d41\u4f53\u4e2d\u65f6\uff0c<\/strong><\/a> \u4f1a\u51fa\u73b0\u4e00\u4e2a\u5411\u4e0a\u7684\u6d6e\u529b\uff0c\u7b49\u4e8e\u88ab\u6d78\u6ca1\u7269\u4f53\u6392\u5f00\u6db2\u4f53\u7684\u91cd\u91cf\u3002\u56e0\u6b64\uff0c\u6240\u6709\u6d78\u6ca1\u5728\u6d41\u4f53\u4e2d\u7684\u7269\u4f53\u770b\u8d77\u6765\u4f3c\u4e4e\u51cf\u8f7b\u4e86\u91cd\u91cf\uff0c\u56e0\u4e3a\u4e0d\u540c\u6df1\u5ea6\u7684\u7269\u4f53\u5404\u533a\u57df\u4e4b\u95f4\u5b58\u5728\u529b\u7684\u5dee\u5f02\u3002\u4e8e\u662f\u6d6e\u529b\u4e3a\uff1a<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">F_{\u6d6e\u529b} = F_2 - F_1<\/span>\n<p><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/09\/fuerza-de-empuje.jpg\" alt=\"\u6d6e\u529b\" width=\"293\" height=\"502\" class=\"aligncenter size-full wp-image-29232 lazyload\" \/><noscript><img decoding=\"async\" src=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/09\/fuerza-de-empuje.jpg\" alt=\"\u6d6e\u529b\" width=\"293\" height=\"502\" class=\"aligncenter size-full wp-image-29232 lazyload\" srcset=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/09\/fuerza-de-empuje.jpg 293w, http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/09\/fuerza-de-empuje-175x300.jpg 175w\" sizes=\"(max-width: 293px) 100vw, 293px\" \/><\/noscript><\/p>\n<p style=\"text-align: justify;\">\u7531\u4e8e <span class=\"katex-eq\" data-katex-display=\"false\">P=F\/A<\/span> \u548c <span class=\"katex-eq\" data-katex-display=\"false\">P=\\rho g h<\/span>\uff0c\u6211\u4eec\u53ef\u4ee5\u63a8\u65ad\u51fa <span class=\"katex-eq\" data-katex-display=\"false\">F=\\rho g A h<\/span>\uff0c\u5176\u4e2d <span class=\"katex-eq\" data-katex-display=\"false\">\\rho<\/span> \u4e3a\u6d41\u4f53\u5bc6\u5ea6\uff0c <span class=\"katex-eq\" data-katex-display=\"false\">h<\/span> \u4e3a\u6df1\u5ea6\uff0c <span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u4e3a\u65bd\u52a0\u538b\u529b\u7684\u8868\u9762\u79ef\uff0c <span class=\"katex-eq\" data-katex-display=\"false\">g<\/span> \u4e3a\u91cd\u529b\u52a0\u901f\u5ea6\u3002\u7531\u6b64\uff0c\u4f5c\u7528\u4e8e\u4e0a\u4e0b\u8868\u9762\u7684\u529b\u4e3a\uff1a<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">F_1 = \\rho g A h_1<\/span>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">F_2 = \\rho g A h_2<\/span>\n<p style=\"text-align: justify;\">\u56e0\u6b64\uff0c\u6211\u4eec\u6709\uff1a<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rl}\n\n F_{\\text{\u6d6e\u529b}} &amp;= \\rho g A h_2 - \\rho g A h_1 \\\\ \\\\\n\n&amp;=\\rho g A \\underbrace{h_2 - h_1}_{\\Delta h} \\\\ \\\\\n\n&amp;= \\rho gV \\\\ \\\\\n\n&amp; =\\text{\u6392\u5f00\u6db2\u4f53\u4f53\u79ef\u7684\u91cd\u91cf}\n\n\\end{array}\n\n<\/span>\n<p style=\"text-align: justify;\">\u8fd9\u5c31\u662f\u6211\u4eec\u6240\u77e5\u7684\u963f\u57fa\u7c73\u5fb7\u539f\u7406\u3002<\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #008000;\">\u4f8b\u5b50\uff1a<\/span> <a href=\"https:\/\/www.youtube.com\/watch?v=nikSJceTxJ0&amp;t=482s\" target=\"_blank\" rel=\"noopener\"><strong>\u4e00\u5757\u91cd70[kg]\u7684\u77f3\u5934\u8eba\u5728\u6e56\u5e95\u3002<\/strong><\/a> \u5982\u679c\u5b83\u7684\u4f53\u79ef\u4e3a <span class=\"katex-eq\" data-katex-display=\"false\">3\\cdot 10^4 [cm^3]<\/span>\uff0c\u9700\u8981\u591a\u5927\u529b\u91cf\u624d\u80fd\u5c06\u5b83\u4e3e\u8d77\uff1f<\/p>\n<p style=\"text-align: justify;\">\u89e3\u7b54\uff1a<\/p>\n<p style=\"text-align: justify;\">\u4f5c\u7528\u5728\u77f3\u5934\u4e0a\u7684\u6d6e\u529b\u4e3a\uff1a<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{rl}\n\nF_{\\text{\u6d6e\u529b}} &amp;= \\rho_{\\text{\u6c34}} g V_{\u77f3\u5934} \\\\ \\\\\n\n&amp;= 10^3 \\left[\\dfrac{kg}{m^3}\\right] \\cdot 9.81\\left[\\dfrac{m}{s^2}\\right] \\cdot 3 \\cdot 10^4 [cm^3] \\\\ \\\\\n\n&amp;= 10^3 \\left[\\dfrac{kg}{m^3}\\right] \\cdot 9.81\\left[\\dfrac{m}{s^2}\\right] \\cdot 3 \\cdot 10^4 \\left[\\dfrac{m}{100}\\right]^3 = 294[N]\n\\end{array}\n\n<\/span>\n<p style=\"text-align: justify;\">\u800c\u77f3\u5934\u7684\u91cd\u91cf\u4e3a\uff1a<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\">F_{\\text{\u91cd\u91cf}} = m_{\\text{\u77f3\u5934}}g = 70[kg] \\cdot 9.81 \\left[\\dfrac{m}{s^2}\\right]=686[N]<\/span>\n<p style=\"text-align: justify;\">\u56e0\u6b64\uff0c\u8981\u5c06\u8fd9\u5757\u77f3\u5934\u5728\u6c34\u4e0b\u4e3e\u8d77\uff0c\u6240\u9700\u7684\u529b\u4e3a <span class=\"katex-eq\" data-katex-display=\"false\">F = 686[N] - 294[N] = 392[N]<\/span>\u3002\u5728\u6c34\u4e0b\uff0c\u8fd9\u5757\u77f3\u5934\u53ef\u4ee5\u7528\u5927\u7ea6\u4e00\u534a\u7684\u529b\u4e3e\u8d77\u3002<\/p>\n<h2>\u6d6e\u529b\u4e0e\u963f\u57fa\u7c73\u5fb7\u539f\u7406<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=nikSJceTxJ0&amp;t=858s\" target=\"_blank\" rel=\"noopener\"><strong>\u963f\u57fa\u7c73\u5fb7\u539f\u7406\u5e2e\u52a9\u6211\u4eec\u7406\u89e3\u4e3a\u4f55\u6709\u4e9b\u7269\u4f53\u80fd\u6d6e\u8d77<\/strong><\/a> \u5f53\u5b83\u4eec\u88ab\u6d78\u6ca1\u5728\u67d0\u4e9b\u6d41\u4f53\u4e2d\u65f6\u3002\u6bd4\u5982\u6728\u5934\u5728\u6c34\u4e2d\u3002\u4e00\u822c\u6765\u8bf4\uff0c\u5982\u679c\u4ecb\u8d28\u7684\u5bc6\u5ea6\u5927\u4e8e\u7269\u4f53\u7684\u5bc6\u5ea6\uff0c\u7269\u4f53\u4f1a\u6d6e\u8d77\uff0c\u76f4\u5230\u4e00\u90e8\u5206\u6d6e\u51fa\u6db2\u9762\u3002\u7269\u4f53\u4f1a\u5347\u9ad8\u76f4\u5230\u8fbe\u5230\u5e73\u8861\u4f4d\u7f6e\u3002\u6211\u4eec\u5982\u4f55\u8ba1\u7b97\u7269\u4f53\u6d6e\u51fa\u6d41\u4f53\u7684\u90e8\u5206\uff1f\u8ba1\u7b97\u5f88\u7b80\u5355\u3002<\/p>\n<p><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/09\/flotabilidad.jpg\" alt=\"\u6d6e\u529b\u4e0e\u963f\u57fa\u7c73\u5fb7\u539f\u7406\" width=\"543\" height=\"341\" class=\"aligncenter size-full wp-image-29234 lazyload\" \/><noscript><img decoding=\"async\" src=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/09\/flotabilidad.jpg\" alt=\"\u6d6e\u529b\u4e0e\u963f\u57fa\u7c73\u5fb7\u539f\u7406\" width=\"543\" height=\"341\" class=\"aligncenter size-full wp-image-29234 lazyload\" srcset=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/09\/flotabilidad.jpg 543w, http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2024\/09\/flotabilidad-300x188.jpg 300w\" sizes=\"(max-width: 543px) 100vw, 543px\" \/><\/noscript><\/p>\n<p style=\"text-align: justify;\">\u5982\u679c\u6211\u4eec\u5c06\u91cd\u91cf\u529b\u4e0e\u6d6e\u529b\u76f8\u7b49\uff0c\u5c31\u53ef\u4ee5\u8ba1\u7b97\u7269\u4f53\u6d6e\u51fa\u6db2\u9762\u7684\u90e8\u5206\u3002\u63a8\u7406\u5982\u4e0b\uff1a<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rl}\n\n &amp; F_{\\text{\u91cd\u91cf}} = F_{\\text{\u6d6e\u529b}}\\\\ \\\\\n\n\\equiv &amp; m_{\\text{\u7269\u4f53}} g = m_{\\text{\u6d78\u6ca1\u90e8\u5206}} g \\\\ \\\\\n\n\\equiv &amp; \\rho_{\\text{\u7269\u4f53}}V_{\\text{\u7269\u4f53}} g = \\rho_{\\text{\u6d78\u6ca1\u90e8\u5206}} V_{\\text{\u6d78\u6ca1\u90e8\u5206}}  g \\\\ \\\\\n\n\\equiv &amp; \\dfrac{\\rho_{\\text{\u7269\u4f53}}}{\\rho_{\\text{\u6d78\u6ca1\u90e8\u5206}}} = \\dfrac{V_{\\text{\u6d78\u6ca1\u90e8\u5206}}}{V_{\\text{\u7269\u4f53}} } = \\text{\u7269\u4f53\u6d78\u6ca1\u90e8\u5206\u7684\u767e\u5206\u6bd4}\n\n\\end{array}\n\n<\/span>\n<p style=\"text-align: justify;\"><span style=\"color: #008000;\">\u4f8b\u5b50\uff1a<\/span> <a href=\"https:\/\/www.youtube.com\/watch?v=nikSJceTxJ0&amp;t=1023s\" target=\"_blank\" rel=\"noopener\"><strong>\u4e00\u4e2a\u7b80\u5355\u6a21\u578b\u5047\u8bbe\u5927\u9646\u662f\u4e00\u5757\u575a\u56fa\u7684\u5ca9\u77f3\u5757<\/strong><\/a> \uff08\u5bc6\u5ea6\u4e3a <span class=\"katex-eq\" data-katex-display=\"false\">=2800[kg\/m^3]<\/span>\uff09\uff0c\u6d6e\u5728\u5468\u56f4\u7684\u5730\u5e54\u4e0a\uff08\u5bc6\u5ea6\u4e3a <span class=\"katex-eq\" data-katex-display=\"false\">=3300[kg\/m^3]<\/span>\uff09\u3002\u5047\u8bbe\u5927\u9646\u7684\u5e73\u5747\u539a\u5ea6\u4e3a 35[km]\uff0c\u8ba1\u7b97\u5927\u9646\u5e73\u5747\u6d6e\u51fa\u5730\u5e54\u7684\u9ad8\u5ea6\u3002<\/p>\n<p style=\"text-align: justify;\">\u89e3\u7b54\uff1a<\/p>\n<p style=\"text-align: justify;\">\u7269\u4f53\u6d78\u6ca1\u7684\u767e\u5206\u6bd4\u4e3a\uff1a<\/p>\n<p style=\"text-align: justify;\">\u6d78\u6ca1\u767e\u5206\u6bd4 <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle = \\frac{\\rho_{\u7269\u4f53}}{\\rho_{\u6d41\u4f53}}<\/span>\n<p style=\"text-align: justify;\">\u56e0\u6b64\uff0c\u7269\u4f53\u6ca1\u6709\u6d78\u6ca1\u5e76\u6d6e\u51fa\u5730\u5e54\u7684\u90e8\u5206\u4e3a\uff1a<\/p>\n<p style=\"text-align: justify;\">\u6d6e\u51fa\u90e8\u5206\u767e\u5206\u6bd4 <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle = 1 - \\frac{\\rho_{\u7269\u4f53}}{\\rho_{\u6d41\u4f53}} = 1 - \\frac{2800}{3300} \\approx 0,15 = 15\\%<\/span>\n<p style=\"text-align: justify;\">\u7531\u4e8e\u5e73\u5747\u539a\u5ea6\u4e3a <span class=\"katex-eq\" data-katex-display=\"false\">35[km]<\/span>\uff0c\u56e0\u6b64\u5e73\u5747\u6d6e\u51fa\u7684\u90e8\u5206\u4e3a <span class=\"katex-eq\" data-katex-display=\"false\">15\\% 35[km]\\approx 5.3 [km].<\/span>\n","protected":false},"excerpt":{"rendered":"<p>\u6d6e\u529b\u4e0e\u963f\u57fa\u7c73\u5fb7\u539f\u7406 \u6982\u8981\uff1a \u672c\u8bfe\u5c06\u89e3\u91ca\u6d6e\u529b\u73b0\u8c61\u53ca\u963f\u57fa\u7c73\u5fb7\u539f\u7406\uff0c\u5c55\u793a\u6d78\u6ca1\u5728\u6d41\u4f53\u4e2d\u7684\u7269\u4f53\u5982\u4f55\u53d7\u5230\u7b49\u4e8e\u6240\u6392\u5f00\u6d41\u4f53\u91cd\u91cf\u7684\u6d6e\u529b\u4f5c\u7528\u3002\u4f7f\u7528\u8fd9\u4e00\u539f\u7406\u53ef\u4ee5\u8ba1\u7b97\u7269\u4f53\u6d6e\u51fa\u6d41\u4f53\u8868\u9762\u7684\u90e8\u5206\uff0c\u914d\u5408\u5b9e\u7528\u7684\u4f8b\u5b50\u8fdb\u884c\u8bb2\u89e3\u3002 \u5b66\u4e60\u76ee\u6807 \u5b8c\u6210\u672c\u8bfe\u540e\uff0c\u5b66\u751f\u5c06\u80fd\u591f\uff1a \u7406\u89e3\u963f\u57fa\u7c73\u5fb7\u539f\u7406\u53ca\u5176\u4e0e\u6d6e\u529b\u7684\u5173\u7cfb\u3002 \u8ba1\u7b97\u6d78\u6ca1\u5728\u6d41\u4f53\u4e2d\u7684\u7269\u4f53\u7684\u6d6e\u529b\u3002 \u786e\u5b9a\u57fa\u4e8e\u76f8\u5bf9\u5bc6\u5ea6\uff0c\u6d6e\u4f53\u4e2d\u6709\u591a\u5c11\u90e8\u5206\u6d6e\u51fa\u6d41\u4f53\u8868\u9762\u3002 \u6d6e\u529b \u5f53\u6211\u4eec\u8c08\u5230\u6d6e\u529b\u65f6\uff0c 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