{"id":48026,"date":"2013-10-29T17:06:25","date_gmt":"2013-10-29T09:06:25","guid":{"rendered":"http:\/\/highscope.ch.ntu.edu.tw\/wordpress\/?p=48026"},"modified":"2021-10-06T16:19:43","modified_gmt":"2021-10-06T08:19:43","slug":"%e4%bf%9d%e5%ae%88%e5%8a%9b%e5%92%8c%e9%9d%9e%e4%bf%9d%e5%ae%88%e5%8a%9b","status":"publish","type":"post","link":"http:\/\/localhost\/%e4%bf%9d%e5%ae%88%e5%8a%9b%e5%92%8c%e9%9d%9e%e4%bf%9d%e5%ae%88%e5%8a%9b\/","title":{"rendered":"\u4fdd\u5b88\u529b\u548c\u975e\u4fdd\u5b88\u529b"},"content":{"rendered":"

\u4fdd\u5b88\u529b\u548c\u975e\u4fdd\u5b88\u529b<\/span>
\n\u9ad8\u96c4\u5e02\u4e2d\u6b63\u9ad8\u5de5\u7269\u7406\u79d1\u4ee3\u7406\u6559\u5e2b\u3001\u73fe\u4efb\u806f\u83ef\u96fb\u5b50\u5de5\u7a0b\u5e2b \u8607\u76ca\u5f18<\/span><\/strong><\/strong><\/p>\n

\u672c\u6587\u5c07\u5faa\u5e8f\u6f38\u9032\uff0c\u5f9e\u570b\u4e2d\u3001\u9ad8\u4e2d\u3001\u5927\u5b78\u7684\u89d2\u5ea6\u8aaa\u660e\u4fdd\u5b88\u529b\u548c\u975e\u4fdd\u5b88\u529b\uff0c\u91cd\u9ede\u4ee5\u7d05\u5b57\u8207\u7c97\u9ad4\u5148\u884c\u6a19\u793a\uff0c\u7dca\u63a5\u8457\u7684\u5f8c\u6587\u5247\u9032\u4e00\u6b65\u8aaa\u660e\u3002\u4ee5\u4e0b\u662f\u672c\u6587\u5927\u7db1\uff1a<\/p>\n

    \n
  1. \u901a\u4fd7\u7684\u8aaa\u6cd5,\u4ee5\u570b\u4e2d\u7684\u89d2\u5ea6\u4f86\u770b\u4fdd\u5b88\u529b\u548c\u975e\u4fdd\u5b88\u529b<\/span><\/li>\n
  2. \u56b4\u8b39\u7684\u8aaa\u6cd5,\u4ee5\u9ad8\u4e2d\u4f86\u8aaa,\u6211\u5011\u8981\u77e5\u9053\u7684\u4fdd\u5b88\u529b\u548c\u975e\u4fdd\u5b88\u529b\u7684\u5b9a\u7fa9<\/span><\/li>\n
  3. \u6578\u5b78\u7684\u8aaa\u6cd5,\u4ee5\u5927\u5b78\u4f86\u8aaa,\u4f60\u6703\u4ee5\u6578\u5b78(\u5fae\u7a4d\u5206)\u7684\u89d2\u5ea6\u91cd\u65b0\u4e86\u89e3\u4fdd\u5b88\u529b<\/span><\/li>\n<\/ol>\n

    <\/p>\n

    \u570b\u4e2d\u89d2\u5ea6\u4f86\u770b\u4fdd\u5b88\u529b\u548c\u975e\u4fdd\u5b88\u529b<\/b><\/b><\/span><\/p>\n

      \n
    1. \u4fdd\u5b88\u529b\uff1a\u4f5c\u529f\u53ef\u4ee5\u8f49\u63db\u6210\u4f4d\u80fd\u5132\u5b58\uff0c
      \n\u975e\u4fdd\u5b88\u529b:\u6c92\u6709\u4f4d\u80fd\u7684\u6982\u5ff5\uff0c\u81ea\u7136\u4e5f\u8ac7\u4e0d\u4e0a\u4f4d\u80fd\u7684\u5132\u5b58\u3002<\/span><\/strong><\/li>\n
    2. \u7269\u9ad4\u53ea\u53d7\u4fdd\u5b88\u529b\uff0c\u529b\u5b78\u80fd\u5b88\u6046\u3002\u7269\u9ad4\u53d7\u5230\u975e\u4fdd\u5b88\u529b\uff0c\u529b\u5b78\u80fd\u901a\u5e38\u6703\u640d\u8017\u3002<\/span><\/strong><\/li>\n<\/ol>\n

      \u5148\u8b1b\u7b2c\u4e00\u9ede\u3002\u6211\u81ea\u5df1\u5728\u570b\u4e2d\u7406\u89e3\u7684\u4f4d\u80fd\u662f\u9019\u6a23\u7684\uff0c\u901f\u5ea6\u5f88\u5feb\u88ab\u649e\u8d85\u7d1a\u75db\uff0c\u9019\u4ee3\u8868\u7269\u9ad4\u6709\u80fd\u91cf(\u52d5\u80fd)\u3002\u4f46\u6709\u6642\u5019\u7269\u9ad4\u660e\u660e\u662f\u975c\u6b62\u7684\uff0c\u4f46\u7576\u5b83\u88ab\u91cb\u653e(\u4f8b\u5982:\u77f3\u982d\u5f9e\u9ad8\u8655\u843d\u4e0b\u3001\u5f48\u7c27\u88ab\u9b06\u958b)\uff0c\u5b83\u7684\u901f\u5ea6\u4e5f\u53ef\u4ee5\u5f88\u5feb\u3002\u9019\u4ee3\u8868\u6709\u7a2e\u80fd\u91cf(\u4f4d\u80fd)\u662f\u88ab\u5b58\u5728\u975c\u6b62\u7684\u7269\u9ad4\u7684\uff0c\u7269\u9ad4\u62ac\u5f97\u8d8a\u9ad8\u80fd\u91cf\u88ab\u5b58\u9032\u53bb\u66f4\u591a(\u91cd\u529b\u4f4d\u80fd)\u3001\u5f48\u7c27\u88ab\u58d3\u5f97\u8d8a\u7dca\u80fd\u91cf\u88ab\u5b58\u8d8a\u591a(\u5f48\u529b\u4f4d\u80fd)\u3002\u800c\u9ad8\u8655\u843d\u4e0b\u6216\u5f48\u7c27\u9b06\u958b\uff0c\u5b58\u8d77\u4f86\u7684\u80fd\u91cf\u5c31\u6703\u88ab\u91cb\u653e\u51fa\u4f86\uff0c\u8b8a\u6210\u901f\u5ea6(\u4f4d\u80fd\u8f49\u6210\u52d5\u80fd)\u3002\u6240\u4ee5\uff0c\u4fdd\u5b88\u529b\u6307\u7684\u662f\u5c0d\u7269\u9ad4\u4f5c\u529f\u5f8c\u53ef\u4ee5\u8f49\u63db\u6210\u4f4d\u80fd\u5132\u5b58\u7684\u529b\u3002<\/b><\/p>\n

      <\/b>\u524d\u4e00\u6bb5\u8b1b\u7684\uff0c\u7269\u9ad4\u8d8a\u9ad8\u80fd\u91cf\u8d8a\u9ad8(\u91cd\u529b\u4f4d\u80fd \\(U=mgh\\))\uff0c\u96b1\u542b\u4e86\u91cd\u529b\u662f\u4fdd\u5b88\u529b\u9019\u500b\u6982\u5ff5\u3002\u5f48\u7c27\u8d8a\u7dca\u80fd\u91cf\u8d8a\u9ad8(\u5f48\u529b\u4f4d\u80fd \\(U=\\frac{1}{2}kx^2\\))\uff0c\u5f48\u7c27\u529b\u4e5f\u662f\u4fdd\u5b88\u529b\u3002<\/p>\n

      \u800c\u76f8\u53cd\u7684\uff0c\u5982\u6469\u64e6\u529b\u5c31\u7121\u6cd5\u8a0e\u8ad6\u5c0d\u61c9\u7684\u4f4d\u80fd\uff0c\u56e0\u70ba\u9019\u500b\u529b\u505a\u4e86\u529f\u4e4b\u5f8c\u5316\u6210\u71b1\u80fd\uff0c\u7d50\u679c\u6211\u5011\u7121\u6cd5\u628a\u6b64\u80fd\u91cf\u53d6\u56de\u4f86\u3001\u91cd\u65b0\u505a\u529f\u3002\u56e0\u6b64\uff0c\u6469\u64e6\u529b\u975e\u4fdd\u5b88\u529b\u3002\u4f60\u5e73\u5e38\u5728\u63a8\u6771\u897f\u7684\u529b\uff0c\u4e5f\u4e0d\u662f\u900f\u904e\u9ad4\u5167\u5132\u5b58\u7684\u67d0\u7a2e\u4f4d\u80fd\u4e4b\u6539\u8b8a\u800c\u9020\u6210\uff0c\u6240\u4ee5\u5b83\u4e5f\u662f\u975e\u4fdd\u5b88\u529b\u3002\u4e0b\u9762\u6574\u7406\u9ad8\u4e2d\u5e38\u898b\u4fdd\u5b88\u529b\u7684\u5be6\u4f8b\uff1a<\/p>\n

      \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u4fdd\u5b88\u529b\uff1a\u91cd\u529b\u3001\u5f48\u7c27\u529b\u3001\u975c\u96fb\u529b<\/strong>
      \n\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u975e\u4fdd\u5b88\u529b\uff1a\u6469\u64e6\u529b\u3001\u963b\u529b(\u7a7a\u6c23.\u6c34)\u3001\u63a8\u529b\u3001\u62c9\u529b<\/strong><\/p>\n

      \u518d\u4f86\u770b\u7b2c\u4e8c\u9ede\u3002\u570b\u4e2d\u6642\u5019\u7684\u4f60\u4e00\u5b9a\u6709\u5b78\u904e\u529b\u5b78\u80fd\u5b88\u6046\u3002\u5148\u91d0\u6e05\u5b83\u8ddf\u80fd\u91cf\u5b88\u6046\u6709\u4ec0\u9ebc\u4e0d\u4e00\u6a23\uff1f\u8b93\u6211\u5011\u8907\u7fd2\u4e0b\uff0c\u529b\u5b78\u80fd=\u52d5\u80fd(K)+\u4f4d\u80fd(U)\u3002\u6240\u4ee5\u5b83\u6307\u7684\u662f\u55ae\u7d14\u529b\u5b78\u904b\u52d5\u4e2d\u6703\u78b0\u5230\u7684\u80fd\u91cf\uff0c\u6211\u5011\u4e0d\u8003\u616e\u96fb\u80fd.\u71b1\u80fd.\u5316\u5b78\u80fd\u2026\u7b49\uff0c\u90a3\u662f\u80fd\u91cf\u5b88\u6046\u8981\u53bb\u60f3\u7684\u4e8b\u3002<\/p>\n

      \u6240\u4ee5\u529b\u5b78\u80fd\u8981\u5b88\u6046\uff0c\u4ee3\u8868\u52d5\u80fd+\u4f4d\u80fd\u8981\u56fa\u5b9a\uff0c\u4ee3\u8868\u53d7\u529b\u904e\u7a0b\u4e2d\u52d5\u80fd\u4f4d\u80fd\u8981\u80fd\u4e92\u76f8\u8f49\u63db\u3002\u4ee3\u8868\u53d7\u529b\u505a\u529f\u8981\u80fd\u5132\u5b58\u6210\u4f4d\u80fd\uff0c\u4e5f\u5c31\u662f\u53d7\u5230\u7684\u529b\u662f\u4fdd\u5b88\u529b\u3002\u8209\u500b\u4f8b\uff0c\u50cf\u91cd\u529b\u3002\u60f3\u50cf\u5c0f\u7403\u5f9e\u9ad8\u8655\u843d\u4e0b\u6642\uff0c\u9ad8\u5ea6\u8d8a\u4f4e(\u4f4d\u80fd\u4e0b\u964d)\u3001\u901f\u5ea6\u8d8a\u5feb(\u52d5\u80fd\u4e0a\u5347)\uff0c\u9019\u662f\u4f4d\u80fd\u8f49\u52d5\u80fd\uff0c\u529b\u5b78\u80fd\u5b88\u6046\u3002\u6216\u8005\u5f80\u5929\u7a7a\u7528\u529b\u4e1f\u5c0f\u7403\uff0c\u9ad8\u5ea6\u8d8a\u9ad8(\u4f4d\u80fd\u4e0a\u5347)\u3001\u901f\u5ea6\u8d8a\u6162(\u52d5\u80fd\u4e0b\u964d)\uff0c\u9019\u662f\u52d5\u80fd\u8f49\u4f4d\u80fd\uff0c\u529b\u5b78\u80fd\u540c\u6a23\u5b88\u6046\u3002<\/p>\n

      \u800c\u5982\u679c\u53d7\u7684\u662f\u975e\u4fdd\u5b88\u529b\uff0c\u90a3\u53ea\u6703\u640d\u8017\u529b\u5b78\u80fd\u800c\u4e0d\u6703\u5b88\u6046\u3002\u50cf\u6469\u64e6\u529b\uff0c\u4e00\u500b\u5c0f\u7403\u5728\u5730\u9762\u6efe\u52d5\uff0c\u901f\u5ea6\u8d8a\u8b8a\u8d8a\u6162\uff0c\u4f46\u9ad8\u5ea6\u4e0d\u8b8a\uff0c\u53ea\u6703\u6709\u71b1\u6563\u5931\u5230\u7a7a\u6c23\u4e2d(\u52d5\u80fd\u8f49\u71b1\u80fd)\u3002<\/p>\n

      \u4e0b\u9762\u6211\u5011\u770b\u500b\u4f60\u4e00\u5b9a\u5f88\u719f\u6089\u7684\u984c\u76ee\uff1a\u6709\u4e00\u500b\u975c\u6b62\u5c0f\u7403 10kg \u5728 10m \u9ad8\u7684\u53f0\u968e\u4e0a\uff0c\u7576\u53d7\u5230\u91cd\u529b<\/b>\u9806\u8457\u659c\u5761(\u5149\u6ed1\u7121\u6469\u64e6<\/b>)\u6ed1\u4e0b\u4f86\uff0c\u5230\u9054\u5730\u9762\u6642\u901f\u7387\u591a\u5c11\uff1f(\u5716\u4e00)<\/p>\n

      \"p1\"<\/a><\/p>\n

      \\(K_{\\text{\u521d}}+U_{\\text{\u521d}}=K_{\\text{\u672b}}+U_{\\text{\u672b}}\\)
      \n\\(K_{\\text{\u521d}}=0\\) (\u975c\u6b62)
      \n\\(U_{\\text{\u521d}}=mgh=10\\times 9.8\\times 10=980\\)
      \n\\(K_{\\text{\u672b}}=\\frac{1}{2}mV^2=\\frac{1}{2}\\times 10\\times V^2=5V^2\\)
      \n\\(U_{\\text{\u672b}}=0~~(h=0)\\)
      \n\u4ee3\u5165\u7b2c\u4e00\u5f0f
      \n\\(0+980=5V^2+0\\)
      \n\\(V=14~(m\/s)\\)<\/p>\n

       <\/p>\n

      \u7c21\u55ae\u5427\uff0c\u662f\u4e0d\u662f\u5f88\u719f\u6089\u7684\u7528 \\(K_{\\text{\u521d}}+U_{\\text{\u521d}}=K_{\\text{\u672b}}+U_{\\text{\u672b}}\\)\uff0c\u7136\u5f8c\u7b54\u6848\u89e3\u51fa\uff0c\u8f15\u9b06\u5f97\u5206\u3002\u9019\u88e1\u7528\u7684\u89c0\u5ff5\u5c31\u662f\u529b\u5b78\u80fd\u5b88\u6046\uff0c\u4f46\u5b83\u6709\u5169\u500b\u524d\u63d0\uff0c\u53d7\u5230\u91cd\u529b<\/b>\u8ddf\u5149\u6ed1\u7121\u6469\u64e6<\/b>\u3002\u529b\u5b78\u80fd\u5b88\u6046\u7684\u524d\u63d0\u5c31\u662f\uff1a\u4f60\u53d7\u5230\u7684\u529b\u8981\u662f\u4fdd\u5b88\u529b\u624d\u6703\u529b\u5b78\u80fd\u5b88\u6046\uff0c\u5982\u679c\u662f\u975e\u4fdd\u5b88\u529b\u5247\u5426\u3002<\/b>\u6240\u4ee5\u6574\u500b\u904e\u7a0b\u53ea\u53d7\u91cd\u529b(\u4fdd\u5b88\u529b)\uff0c\u800c\u6c92\u6709\u975e\u4fdd\u5b88\u529b(\u6469\u64e6\u529b)\uff0c\u6240\u4ee5\u53ef\u4ee5\u7528\u529b\u5b78\u80fd\u5b88\u6046\u3002<\/p>\n

      \u5982\u679c\u984c\u76ee\u8aaa\u659c\u5761\u662f\u7c97\u7cd9\u6709\u6469\u64e6<\/b>\uff0c\u5247\u975e\u4fdd\u5b88\u529b(\u6469\u64e6\u529b)\u6703\u9020\u6210\u529b\u5b78\u80fd\u640d\u8017\uff0c\u5c31\u4e0d\u80fd\u7528 \\(K_{\\text{\u521d}}+U_{\\text{\u521d}}=K_{\\text{\u672b}}+U_{\\text{\u672b}}\\) \u53bb\u7b97\uff0c\u5fc5\u9808\u53e6\u5916\u8a08\u7b97\u6469\u64e6\u529b\u505a\u529f\u9020\u6210\u591a\u5c11\u640d\u8017\u3002\u4e0b\u9762\u88dc\u5145\u7bb1\u5b50\u53d7\u529b\u5716\uff0c\u8207\u5404\u529b\u7684\u4f5c\u529f\u3002<\/p>\n

      \"p3\"<\/a><\/p>\n

      \u5230\u9019\u908a\u518d\u91cd\u65b0\u6b78\u7d0d\u4e00\u6b21\u3002\u4fdd\u5b88\u529b\uff1a\u6709\u4f4d\u80fd\uff0c\u529b\u5b78\u80fd\u5b88\u6046\uff0c\u91cd\u529b\uff0c<\/b>\u5f48\u7c27\u529b\u90fd\u662f\u3002\u975e\u4fdd\u5b88\u529b\uff1a\u6c92\u6709\u4f4d\u80fd\uff0c\u529b\u5b78\u80fd\u901a\u5e38\u6703\u640d\u8017\uff0c\u63a8\u529b\u3001\u6469\u64e6\u529b\u3001\u963b\u529b\u90fd\u662f\u3002<\/b>\u9019\u4e9b\u662f\u6bd4\u8f03\u901a\u4fd7\u7684\u8b1b\u6cd5\uff0c\u4e0b\u9762\u6211\u5011\u8b1b\u8b1b\u8f03\u56b4\u8b39\u7684\u5b9a\u7fa9\u3002<\/p>\n

      \u9ad8\u4e2d\u9808\u77e5\u9053\u4fdd\u5b88\u529b\u7684\u5b9a\u7fa9<\/span>
      \n<\/b><\/b><\/p>\n

        \n
      1. \u4e00\u500b\u529b\u5c0d\u7269\u9ad4\u4f5c\u529f\uff0c\u7d93\u904e\u4e00\u6bb5\u8def\u5f91\uff0c\u5f9e A \u9ede\u5230 B \u9ede\u3002\u5982\u679c\u4f5c\u529f\u5927\u5c0f\u8207\u7d93\u904e\u8def\u5f91\u7121\u95dc\u7684\u662f\u4fdd\u5b88\u529b\uff0c\u6709\u95dc\u7684\u662f\u975e\u4fdd\u5b88\u529b\u3002<\/span><\/strong><\/li>\n
      2. \u4e00\u500b\u7269\u9ad4\u5f9e A \u9ede\u51fa\u767c\uff0c\u7d93\u4efb\u4e00\u8def\u5f91\u53c8\u56de\u5230\u539f\u9ede A\uff0c\u6211\u5011\u7a31\u6b64\u70ba\u5c01\u9589\u8def\u5f91\u3002\u5982\u679c\u529b\u5c0d\u7269\u9ad4\u4f5c\u529f\uff0c<\/span>\u7d93\u4efb\u4e00\u5c01\u9589\u8def\u5f91\u5f8c\uff0c\u7e3d\u4f5c\u529f\u6046\u70ba 0\uff0c\u5247\u6b64\u529b\u70ba\u4fdd\u5b88\u529b\u3002<\/span><\/strong>
        \n<\/b><\/span><\/li>\n<\/ol>\n

        \u4e0a\u9762\u9019\u5169\u9ede\u5728\u6578\u5b78\u4e0a\u662f\u7b49\u50f9\u7684\uff0c\u8b1b\u7684\u662f\u540c\u4e00\u500b\u5b9a\u7fa9\uff0c\u6211\u5011\u5728\u9019\u908a\u7bc0\u7701\u7bc7\u5e45\uff0c\u8457\u91cd\u5728\u8b1b\u89e3\u7b2c\u4e00\u9ede\u3002<\/p>\n

        \"p4\"<\/a>

        \u5716\u4e09<\/p><\/div>\n

        \u4ec0\u9ebc\u53eb\u4f5c\u529f\u8207\u8def\u5f91\u7121\u95dc\uff1f\u8acb\u770b\u5716\u4e09\uff0c\u7269\u9ad4\u5f9e A \u9ede\u5230 B \u9ede\u6709\u4e09\u500b\u8def\u5f91 1\u30012\u30013\uff0c\u5982\u679c\u5c0d\u7269\u9ad4\u65bd\u529b\u8d70\u9019\u4e09\u689d\u7684\u505a\u529f\u90fd\u76f8\u540c\uff0c\u4ee3\u8868\u4f5c\u529f\u8207\u8def\u5f91\u7121\u95dc\uff0c\u9019\u7a2e\u529b\u5c31\u662f\u4fdd\u5b88\u529b\u3002\u53cd\u4e4b\u5247\u70ba\u975e\u4fdd\u5b88\u529b\u3002<\/p>\n

        \u4e0b\u9762\u8b93\u6211\u5011\u5206\u5225\u4ee5\u91cd\u529b(\u4fdd\u5b88\u529b)\u3001\u6469\u64e6\u529b(\u975e\u4fdd\u5b88\u529b)\u505a\u4f8b\u5b50\uff0c\u7528\u7c21\u55ae\u7684\u984c\u76ee\u548c\u6578\u5b57\u4f86\u7b97\u7b97\u770b\uff0c\u4ec0\u9ebc\u53eb\u8207\u8def\u5f91\u7121\u95dc\u3002<\/p>\n

        \u91cd\u529b(\u4fdd\u5b88\u529b)\uff1a<\/b><\/span><\/p>\n

        \u984c\u76ee\uff1a\u4eca\u5929\u6709\u4e00\u500b\u7bb1\u5b50\u91cd\u91cf \\(mg\\)\uff0c\u5c0f\u660e\u628a\u5b83\u62ac\u9ad8 \\(d\\) \u516c\u5c3a\u3002\u5c0f\u83ef\u7121\u804a\u53c8\u767d\u76ee\uff0c\u6240\u4ee5\u4ed6\u62ac\u9ad8\u7bb1\u5b50 \\(d\\) \u516c\u5c3a\u5f8c\u53c8\u628a\u5b83\u653e\u5230\u5730\u4e0a\uff0c\u518d\u62ac\u4e00\u6b21\u3002\u8acb\u554f\u9019\u5169\u7a2e\u904e\u7a0b\u4e2d\uff0c\u91cd\u529b\u5c0d\u7bb1\u5b50\u7684\u4f5c\u529f\u5404\u662f\u591a\u5c11\uff1f<\/p>\n

        \u89e3\u7b54\uff1a
        \n        \"p5\"<\/a><\/p>\n

        \u5c0f\u660e\u7684\u91cd\u529b\u4f5c\u529f\uff1a
        \n\u7d93\u8def\u5f911\u505a\u8ca0\u529f \\(W_1=-mg\\times d\\)
        \n\u7e3d\u4f5c\u529f \\(W_{\\text{\u660e}}=W_1=-mgd\\)<\/p>\n

        \u5c0f\u83ef\u7684\u91cd\u529b\u4f5c\u529f\uff1a
        \n\u7d93\u8def\u5f911\u505a\u8ca0\u529f \\(W_1=-mg\\times d\\)
        \n\u7d93\u8def\u5f912\u505a\u6b63\u529f \\(W_2=mg\\times d\\)
        \n\u7d93\u8def\u5f913\u505a\u8ca0\u529f \\(W_3=-mg\\times d\\)
        \n\u7e3d\u4f5c\u529f \\(W_{\\text{\u83ef}}=W_1+W_2+W_3=-mgd\\)<\/p>\n

        \u5148\u8b1b\u4e00\u9ede\uff0c\u5728\u9019\u88e1\u7bb1\u5b50\u5f80\u4e0a\u62ac\u7684\u904e\u7a0b(\u4f4d\u79fb 1\u30013)\uff0c\u56e0\u70ba\u91cd\u529b\u5f80\u4e0b\u4f4d\u79fb\u5f80\u4e0a\uff0c\u65b9\u5411\u76f8\u53cd\uff0c\u6240\u4ee5\u4f5c\u7684\u662f\u8ca0\u529f (\\(W_1\\)\u3001\\(W_3\\))\u3002<\/p>\n

        \u90a3\u6ce8\u610f\u5230\u88e1\u9762\u7684\u904b\u7b97\u55ce\uff1f\u96d6\u7136\u5c0f\u83ef\u6bd4\u5c0f\u660e\u591a\u62ac\u4e86\u4e00\u4e0b\uff0c\u4f46\u56e0\u70ba\u91cd\u529b\u4e00\u76f4\u662f\u5411\u4e0b\u7684<\/b>\uff0c\u6240\u4ee5\u7bb1\u5b50\u88ab\u653e\u4e0b\u6642\u91cd\u529b\u4f5c\u6b63\u529f \\(W_2\\)\uff0c\u62ac\u8d77\u6642\u4f5c\u8ca0\u529f \\(W_3\\)\uff0c\u653e\u4e0b\u548c\u62ac\u8d77\u7684\u4f5c\u529f\u525b\u597d\u62b5\u92b7\u3002\u5373\u4f7f\u5c0f\u83ef\u4eca\u5929\u60f3\u52e4\u7df4\u808c\u8089\uff0c\u628a\u7bb1\u5b50\u62ac\u4e0a\u62ac\u4e0b N \u6b21\uff0c\u7e3d\u91cd\u529b\u4f5c\u529f (\\(W_{\\text{\u83ef}}\\)) \u4e00\u6a23\u662f \\(-mgd\\)\uff0c\u7bb1\u5b50\u672c\u8eab\u7684\u9ad8\u5ea6\u5c31\u53ea\u6703\u4e0a\u5347 \\(d\\)\uff0c\u4e0d\u6703\u6709\u66f4\u591a\u4f4d\u80fd\u3002\u53ea\u8981\u7bb1\u5b50\u662f\u5f9e A \u9ede\u79fb\u5230 B \u9ede\uff0c\u4e0d\u7ba1\u904e\u7a0b\u4e2d\u7bb1\u5b50\u88ab\u62ac\u591a\u5c11\u4e0b\uff0c\u91cd\u529b\u4f5c\u529f\u90fd\u76f8\u540c\uff0c\u8207\u904e\u7a0b\u8def\u5f91\u7121\u95dc\uff0c\u6240\u4ee5\u91cd\u529b\u662f\u4e00\u7a2e\u4fdd\u5b88\u529b\u3002<\/b><\/p>\n

        \u6469\u64e6\u529b(\u975e<\/b><\/span>\u4fdd\u5b88\u529b)\uff1a<\/b><\/span><\/p>\n

        \u984c\u76ee\uff1a\u540c\u6a23\u7684\u660e\u3001\u83ef\u4e8c\u4eba\u7d44\u3002\u4eca\u5929\u5c0f\u660e\u628a\u958b\u5b78\u88dd\u66f8\u7684\u7bb1\u5b50\u5f9e\u6a13\u68af\u53e3\u63a8\u5230 A \u6559\u5ba4\u9580\u53e3(\u8207\u6a13\u68af\u53e3\u76f8\u8ddd \\(d\\) \u516c\u5c3a)\u3002\u60c5\u7ac7\u521d\u958b\u7684\u5c0f\u660e\uff0c\u504f\u504f\u8981\u628a\u7bb1\u5b50\u63a8\u5230\u9694\u58c1\u6559\u5ba4 B (\u8207\u6559\u5ba4 A \u76f8\u8ddd \\(d\\) \u516c\u5c3a)\uff0c\u770b\u4e00\u773c\u6700\u611b\u7684\u963f\u82b1\uff0c\u518d\u628a\u7bb1\u5b50\u63a8\u56de A \u6559\u5ba4\u9580\u53e3\u3002\u8acb\u554f\u9019\u5169\u7a2e\u904e\u7a0b\u4e2d\uff0c\u6469\u64e6\u529b \\((f_k)\\) \u5c0d\u7bb1\u5b50\u7684\u4f5c\u529f\u5404\u662f\u591a\u5c11\uff1f
        \n        \"p6\"<\/a><\/p>\n

        \u5c0f\u660e\u7684\u6469\u64e6\u529b\u4f5c\u529f\uff1a
        \n\u7d93\u8def\u5f911\u505a\u8ca0\u529f \\(W_1=-f_k\\times d\\)
        \n\u7e3d\u4f5c\u529f \\(W_{\\text{\u660e}}=W_1=-f_kd\\)<\/p>\n

        \u5c0f\u83ef\u7684\u6469\u64e6\u529b\u4f5c\u529f\uff1a
        \n\u7d93\u8def\u5f911\u505a\u8ca0\u529f \\(W_1=-f_k\\times d\\)
        \n\u7d93\u8def\u5f912\u505a\u8ca0\u529f \\(W_2=-f_k\\times d\\)
        \n\u7d93\u8def\u5f913\u505a\u8ca0\u529f \\(W_3=-f_k\\times d\\)
        \n\u7e3d\u4f5c\u529f \\(W_{\\text{\u83ef}}=W_1+W_2+W_3=-3f_kd\\)<\/p>\n

        \u540c\u6a23\u63d0\u9192\u4e00\u9ede\uff0c\u5728\u9019\u88e1\u6469\u64e6\u529b\u548c\u4f4d\u79fb\u90fd\u662f\u53cd\u65b9\u5411\uff0c\u4e0d\u7ba1\u4f4d\u79fb 1\u30012\u30013\uff0c\u6469\u64e6\u529b\u90fd\u4f5c\u8ca0\u529f \\(W_1\\)\u3001\\(W_2\\)\u3001\\(W_3\\)\u3002<\/p>\n

        \u5f9e\u904b\u7b97\u88e1\u53ef\u4ee5\u770b\u5230\uff0c\u56e0\u70ba\u6469\u64e6\u529b\u4e00\u76f4\u4f5c\u8ca0\u529f\uff0c\u6240\u4ee5\u5c0f\u83ef\u63a8\u53bb B \u6559\u5ba4\u53c8\u63a8\u56de A \u6559\u5ba4\u7684\u9014\u4e2d \\((W_2+W_3)\\)\uff0c\u6469\u64e6\u529b\u4f5c\u7684\u529f\u4e0d\u6703\u50cf\u91cd\u529b\u4e00\u6a23\u62b5\u92b7\uff0c\u800c\u662f\u7522\u751f\u66f4\u591a\u7684\u8ca0\u529f\u3002\u5c0f\u83ef\u53ea\u8981\u5920\u7121\u804a\uff0c\u4ed6\u6bcf\u591a\u63a8\u4e00\u6b21\u6469\u64e6\u529b\u5c31\u6703\u591a\u4f5c \\(-2f_kd\\)\uff0c\u9019\u90e8\u5206\u80fd\u91cf\u6703\u8f49\u8b8a\u6210\u71b1\u80fd\u6563\u5931\u5728\u5468\u906d\u3002<\/p>\n

        \u7d50\u8ad6\uff1a\u540c\u6a23\u662f\u7bb1\u5b50\u5f9e\u6a13\u68af\u53e3\u5230\u6559\u5ba4 A\uff0c\u4f46\u53ea\u8981\u7e5e\u7684\u8def\u5f91\u8d8a\u9577\uff0c\u6469\u64e6\u529b\u4f5c\u529f\u5c31\u8d8a\u591a\u3002\u6469\u64e6\u529b\u505a\u529f\u8207\u904e\u7a0b\u8def\u5f91\u6709\u95dc\uff0c\u6240\u4ee5\u6469\u64e6\u529b\u662f\u975e\u4fdd\u5b88\u529b\u3002<\/b><\/p>\n

        \u90a3\u5728\u6700\u5f8c\uff0c\u6211\u5011\u628a\u5b9a\u7fa9\u63db\u500b\u8aaa\u6cd5\u4f86\u8907\u7fd2\u4e00\u4e0b\u3002\u4fdd\u5b88\u529b\u505a\u529f\u5927\u5c0f\u53ea\u548c\u79fb\u52d5\u7684\u521d\u4f4d\u7f6e\u548c\u672b\u4f4d\u7f6e(\u4f4d\u79fb)\u6709\u95dc\u8207\u79fb\u52d5\u8def\u5f91\u7121\u95dc\uff0c\u800c\u975e\u4fdd\u5b88\u529b\u505a\u529f\u5927\u5c0f\u5247\u8981\u8003\u616e\u7269\u9ad4\u8d70\u7684\u662f\u54ea\u689d\u79fb\u52d5\u8def\u5f91\u3002<\/b><\/p>\n

        \u5230\u9019\u908a\u6211\u5011\u5df2\u7d93\u4e86\u89e3\u9ad8\u4e2d\u4fdd\u5b88\u529b\u9700\u8981\u77e5\u9053\u7684\u6771\u897f\u4e86\uff0c\u4f46\u6211\u5011\u53ea\u8981\u4e0a\u7db2\u8def\u4e00\u67e5\uff0c\u5e38\u6703\u67e5\u5230\u4e00\u4e9b\u4e0d\u719f\u6089\u7684\u6578\u5b78\u7b26\u865f\uff0c\u9019\u90e8\u5206\u662f\u5728\u5927\u5b78\u5b78\u6703\u5fae\u7a4d\u5206\u5f8c\uff0c\u6211\u5011\u5c31\u53ef\u4ee5\u7528\u6578\u5b78(\u5fae\u7a4d\u5206)\u53bb\u628a\u4fdd\u5b88\u529b\u4f5c\u5b9a\u7fa9\u3002\u4e0b\u9762\u6211\u5011\u4e0d\u8ac7\u6578\u5b78\uff0c\u53ea\u7c21\u55ae\u8b1b\u8b1b\u9019\u4e9b\u6578\u5b78\u5728\u8868\u793a\u4ec0\u9ebc\u7269\u7406\u610f\u7fa9\u3002<\/p>\n

        \u6578\u5b78\u4e0a\u4fdd\u5b88\u529b \\((F)\\) \u7684\u5b9a\u7fa9<\/span>
        \n<\/b><\/p>\n

          \n
        1. \\(F\\) \u7684\u65cb\u5ea6\u662f 0\uff1a\\(\\triangledown \\times F = 0\\)<\/li>\n
        2. \u7269\u9ad4\u53d7\u529b\u505a\u529f\uff0c\u7d93\u4e00\u5c01\u9589\u8def\u5f91\u5f8c\uff0c\u7e3d\u505a\u529f\u70ba \\(0\\)\uff1a\\(W=\\oint_{\\mathbb{C}} F\\cdot \\mathrm{d}r=0\\)<\/li>\n
        3. \\(F\\) \u662f\u67d0\u500b(\u4f4d\u80fd)\u7684\u68af\u5ea6\uff1a\\(F=-\\triangledown \\Phi\\)<\/li>\n<\/ol>\n

          \u7b2c\u4e00\u9ede\uff0c\\(F\\) \u7684\u65cb\u5ea6\u662f \\(0\\)\uff0c\u65cb\u5ea6\u9019\u6771\u897f\u5f88\u7279\u5225\uff0c\u5b83\u6307\u7684\u610f\u601d\u5c31\u662f\u9019\u500b\u7269\u7406\u91cf \\((F)\\) \u4ed6\u6703\u570d\u7e5e\u8457\u4e00\u500b\u9ede\u65cb\u8f49(\u901a\u4fd7\u7684\u8aaa\u6cd5)\u3002\u8209\u500b\u719f\u6089\u7684\u4f8b\u5b50\uff0c\u6211\u5011\u570b\u4e2d\u6709\u5b78\u5b89\u57f9\u53f3\u624b\u5b9a\u5247\uff1a\u4e00\u500b\u901a\u96fb\u6d41\u7684\u5c0e\u7dda\uff0c\u5b83\u5468\u906d\u6703\u6709\u540c\u5fc3\u5713\u65cb\u8f49\u7684\u78c1\u5834\u3002\u6240\u4ee5\u5c0d\u65bc\u9019\u6839\u5c0e\u7dda\u4f86\u8aaa\uff0c\u78c1\u5834\u662f\u570d\u7e5e\u8457\u5b83\u65cb\u8f49\uff0c\u9019\u500b\u78c1\u5834\u5c31\u6709\u65cb\u5ea6(\u76f8\u5c0d\u65bc\u5c0e\u7dda)\u3002\u5982\u679c\u4e16\u754c\u4e0a\u6709\u4e00\u7a2e\u529b\u7684\u5206\u4f48\u5c31\u50cf\u4e0a\u8ff0\u78c1\u5834\u4e00\u6a23\uff0c\u5247\u6b64\u529b\u5c31\u4e0d\u53ef\u80fd\u662f\u4fdd\u5b88\u529b\uff0c\u56e0\u70ba\u6cbf\u5713\u5468\u7e5e\u4e00\u5708\u56de\u5230\u539f\u9ede\u5f8c\uff0c\u6b64\u529b\u6703\u505a\u6de8\u529f\u3002\u9019\u8207\u524d\u9762\u63d0\u5230\u7684\u5b9a\u7fa9 \\(2\\)\uff0c\u5c01\u9589\u8def\u5f91\u4f5c\u529f\u70ba \\(0\\) \u4e0d\u7b26\u3002\u505a\u56e0\u6b64\uff0c\u4fdd\u5b88\u529b\u7684\u689d\u4ef6\u5c31\u662f\u65cb\u5ea6\u70ba\u96f6\u3002<\/p>\n

          \u7b2c\u4e8c\u9ede\uff0c\u9019\u61c9\u8a72\u5f88\u719f\u6089\u5427\u3002\u6c92\u932f\uff0c\u5b83\u5c31\u662f\u9ad8\u4e2d\u6211\u5011\u5b78\u5230\u7684\u5b9a\u7fa9 \\(2\\)\uff0c\u53ea\u662f\u7528\u6578\u5b78\u5f62\u5f0f\u8868\u793a\u3002<\/p>\n

          \u7b2c\u4e09\u9ede\uff0c\u9019\u5176\u5be6\u525b\u525b\u4e5f\u63d0\u5230\uff0c\u5b83\u662f\u570b\u4e2d\u8aaa\u6cd5\u88e1\u9762\u7684\u7b2c\u4e00\u9ede\uff0c\u53ea\u8981\u662f\u4fdd\u5b88\u529b\u5c31\u6703\u6709\u5c0d\u61c9\u7684\u4f4d\u80fd\uff0c\\(\\Phi\\) \u4ee3\u8868\u7684\u5c31\u662f\u4f4d\u80fd\u3002\u9019\u500b\u5f0f\u5b50\u53ea\u662f\u63db\u53e5\u8a71\u8aaa\uff0c\u4f60\u4e00\u5b9a\u627e\u5f97\u5230\u4e00\u500b\u4f4d\u80fd \\(\\Phi\\)\uff0c\u4ed6\u7684\u68af\u5ea6\u80fd\u5c0d\u61c9\u5230\u4fdd\u5b88\u529b \\((F)\\)\u3002\u7279\u5225\u63d0\u4e00\u4e0b\u9019\u88e1\u7684\u8ca0\u865f\uff0c\u6211\u5011\u9ad8\u4e2d\u6703\u5b78\u5230\u91cd\u529b\u4f4d\u80fd\u5dee\u7684\u5b9a\u7fa9\uff1a\u91cd\u529b\u4f4d\u80fd\u5dee\u7b49\u65bc\u8ca0\u7684\u91cd\u529b\u505a\u529f\u3002\u9019\u908a\u7684\u8ca0\u865f\u4ee3\u8868\u7684\u5c31\u662f\u4f4d\u80fd\u5dee\u5b9a\u7fa9\u88e1\u63d0\u5230\u7684\u8ca0\u7684\u3002<\/p>\n

          \u4ee5\u4e0b\u88dc\u5145\u89e3\u91cb\u4e0b\u68af\u5ea6\uff0c\u68af\u5ea6\u662f\u63cf\u8ff0\u7269\u7406\u91cf \\((\\Phi)\\) \u7684\u9661\u5ced(\u8b8a\u5316)\u7a0b\u5ea6\u3002\u9019\u500b\u5f0f\u5b50\u8aaa\u7684\u662f\uff0c\u4eca\u5929\u4f60\u6709\u4e00\u500b\u4f4d\u80fd \\(\\Phi\\) (\u5047\u8a2d\u662f\u91cd\u529b\u4f4d\u80fd)\uff0c\u90a3\u4f4d\u80fd\u7684\u68af\u5ea6\u57fa\u672c\u4e0a\u5c31\u662f\u7269\u9ad4\u6240\u53d7\u5230\u7684\u529b(\u4ea6\u5373\uff0c\u7b97\u91cd\u529b\u4f4d\u80fd\u7684\u68af\u5ea6\u5c31\u53ef\u5f97\u5230\u91cd\u529b)\u3002<\/p>\n

          \u5012\u904e\u4f86\u60f3\u66f4\u597d\u7406\u89e3\uff0c\u4eca\u5929\u4f60\u62ac\u7269\u9ad4\u4e0a\u5347\u4e00\u56fa\u5b9a\u9ad8\u5ea6 \\(h\\)\uff0c\u90a3\u7269\u9ad4\u7684\u91cd\u529b\u4f4d\u80fd\u4e00\u5b9a\u662f\u8b8a\u5927\u4e86\u3002\u65e2\u7136\u9ad8\u8655\u7684\u4f4d\u80fd \\(\\Phi_{\\text{\u9ad8\u8655}}\\) \u5927\u65bc\u4f4e\u8655\u7684\u4f4d\u80fd \\(\\Phi_{\\text{\u4f4e\u8655}}\\)\uff0c\\(\\Phi\\) \u986f\u7136\u662f\u6709\u4e00\u500b\u68af\u5ea6\u00a0\\(=\\Phi_{\\text{\u9ad8\u8655}}-\\Phi_{\\text{\u4f4e\u8655}}\\)\u3002\u7531\u65bc\u00a0\\(\\Phi_{\\text{\u9ad8\u8655}}-\\Phi_{\\text{\u4f4e\u8655}}\\) \u5c31\u7b49\u65bc\u4f60\u4ee5\u529b\u91cf \\(F\\) (\u6070\u7b49\u65bc\u91cd\u529b)\u53bb\u62ac\u9ad8\u7269\u9ad4\u6240\u505a\u7684\u529f \\(F\\cdot h\\)\uff0c\u56e0\u6b64\u7684 \\(\\Phi\\) \u68af\u5ea6\u5c31\u662f \\(F\\)\u3002<\/p>\n

          \u53c3\u8003\u8cc7\u6599\uff1a<\/p>\n

            \n
          1. Wiki\uff1ahttp:\/\/zh.wikipedia.org\/wiki\/\u4fdd\u5b88\u529b<\/a><\/li>\n
          2. \u4e92\u52d5\u767e\u79d1\uff1ahttp:\/\/www.baike.com\/wiki\/\u4fdd\u5b88\u529b<\/a><\/li>\n<\/ol>\n<\/div>","protected":false},"excerpt":{"rendered":"

            \u4fdd\u5b88\u529b\u548c\u975e\u4fdd\u5b88\u529b \u9ad8\u96c4\u5e02\u4e2d\u6b63\u9ad8\u5de5\u7269\u7406\u79d1\u4ee3\u7406\u6559\u5e2b\u3001\u73fe\u4efb\u806f\u83ef\u96fb\u5b50\u5de5\u7a0b\u5e2b \u8607\u76ca\u5f18 \u672c\u6587\u5c07\u5faa\u5e8f\u6f38\u9032\uff0c\u5f9e\u570b\u4e2d\u3001\u9ad8\u4e2d\u3001\u5927\u5b78…<\/p>\n","protected":false},"author":50,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12,107,3],"tags":[2243,2212,5730,5736,5737,5731],"class_list":["post-48026","post","type-post","status-publish","format-standard","hentry","category-physics01-09","category-physics00","category-physics01","tag-2243","tag-2212","tag-5730","tag-5736","tag-5737","tag-5731","loop-entry","cat-12","cat-107","cat-3","no-thumbnail"],"views":77270,"_links":{"self":[{"href":"http:\/\/localhost\/wp-json\/wp\/v2\/posts\/48026","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/localhost\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/localhost\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/users\/50"}],"replies":[{"embeddable":true,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/comments?post=48026"}],"version-history":[{"count":1,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/posts\/48026\/revisions"}],"predecessor-version":[{"id":84371,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/posts\/48026\/revisions\/84371"}],"wp:attachment":[{"href":"http:\/\/localhost\/wp-json\/wp\/v2\/media?parent=48026"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/categories?post=48026"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/localhost\/wp-json\/wp\/v2\/tags?post=48026"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}