急求15道高一物理必修一的计算题 1.用v=v0＋at计算 2.用x=v0t＋½ at2计算 3.用v2－v02＝2ax 谁有100道高一物理必修一计算题加答案
\u9ad8\u4e2d\u7269\u7406\u5fc5\u4fee\u4e00\u7684\u6240\u6709\u8ba1\u7b97\u516c\u5f0f\u7269\u7406\u5b9a\u7406\u3001\u5b9a\u5f8b\u3001\u516c\u5f0f\u8868
\u4e00\u3001\u8d28\u70b9\u7684\u8fd0\u52a8\uff081\uff09------\u76f4\u7ebf\u8fd0\u52a8
1\uff09\u5300\u53d8\u901f\u76f4\u7ebf\u8fd0\u52a8
1.\u5e73\u5747\u901f\u5ea6V\u5e73\uff1ds/t\uff08\u5b9a\u4e49\u5f0f\uff09 2.\u6709\u7528\u63a8\u8bbaVt2-Vo2\uff1d2as
3.\u4e2d\u95f4\u65f6\u523b\u901f\u5ea6Vt/2\uff1dV\u5e73\uff1d(Vt+Vo)/2 4.\u672b\u901f\u5ea6Vt\uff1dVo+at
5.\u4e2d\u95f4\u4f4d\u7f6e\u901f\u5ea6Vs/2\uff1d[(Vo2+Vt2)/2]1/2 6.\u4f4d\u79fbs\uff1dV\u5e73t\uff1dVot+at2/2\uff1dVt/2t
7.\u52a0\u901f\u5ea6a\uff1d(Vt-Vo)/t \uff5b\u4ee5Vo\u4e3a\u6b63\u65b9\u5411\uff0ca\u4e0eVo\u540c\u5411(\u52a0\u901f)a>0\uff1b\u53cd\u5411\u5219a<0\uff5d
8.\u5b9e\u9a8c\u7528\u63a8\u8bba\u0394s\uff1daT2 \uff5b\u0394s\u4e3a\u8fde\u7eed\u76f8\u90bb\u76f8\u7b49\u65f6\u95f4(T)\u5185\u4f4d\u79fb\u4e4b\u5dee\uff5d
9.\u4e3b\u8981\u7269\u7406\u91cf\u53ca\u5355\u4f4d:\u521d\u901f\u5ea6(Vo):m/s\uff1b\u52a0\u901f\u5ea6(a):m/s2\uff1b\u672b\u901f\u5ea6(Vt):m/s\uff1b\u65f6\u95f4(t)\u79d2(s)\uff1b\u4f4d\u79fb(s):\u7c73\uff08m\uff09\uff1b\u8def\u7a0b:\u7c73\uff1b\u901f\u5ea6\u5355\u4f4d\u6362\u7b97\uff1a1m/s=3.6km/h\u3002
\u6ce8\uff1a
(1)\u5e73\u5747\u901f\u5ea6\u662f\u77e2\u91cf;
(2)\u7269\u4f53\u901f\u5ea6\u5927,\u52a0\u901f\u5ea6\u4e0d\u4e00\u5b9a\u5927;
(3)a=(Vt-Vo)/t\u53ea\u662f\u91cf\u5ea6\u5f0f\uff0c\u4e0d\u662f\u51b3\u5b9a\u5f0f;
(4)\u5176\u5b83\u76f8\u5173\u5185\u5bb9\uff1a\u8d28\u70b9\u3001\u4f4d\u79fb\u548c\u8def\u7a0b\u3001\u53c2\u8003\u7cfb\u3001\u65f6\u95f4\u4e0e\u65f6\u523b\u3014\u89c1\u7b2c\u4e00\u518cP19\u3015/s--t\u56fe\u3001v--t\u56fe/\u901f\u5ea6\u4e0e\u901f\u7387\u3001\u77ac\u65f6\u901f\u5ea6\u3014\u89c1\u7b2c\u4e00\u518cP24\u3015\u3002
2)\u81ea\u7531\u843d\u4f53\u8fd0\u52a8
1.\u521d\u901f\u5ea6Vo\uff1d0 2.\u672b\u901f\u5ea6Vt\uff1dgt
3.\u4e0b\u843d\u9ad8\u5ea6h\uff1dgt2/2\uff08\u4eceVo\u4f4d\u7f6e\u5411\u4e0b\u8ba1\u7b97\uff09 4.\u63a8\u8bbaVt2\uff1d2gh
\u6ce8:
(1)\u81ea\u7531\u843d\u4f53\u8fd0\u52a8\u662f\u521d\u901f\u5ea6\u4e3a\u96f6\u7684\u5300\u52a0\u901f\u76f4\u7ebf\u8fd0\u52a8\uff0c\u9075\u5faa\u5300\u53d8\u901f\u76f4\u7ebf\u8fd0\u52a8\u89c4\u5f8b\uff1b
(2)a\uff1dg\uff1d9.8m/s2\u224810m/s2\uff08\u91cd\u529b\u52a0\u901f\u5ea6\u5728\u8d64\u9053\u9644\u8fd1\u8f83\u5c0f,\u5728\u9ad8\u5c71\u5904\u6bd4\u5e73\u5730\u5c0f\uff0c\u65b9\u5411\u7ad6\u76f4\u5411\u4e0b\uff09\u3002
\uff083)\u7ad6\u76f4\u4e0a\u629b\u8fd0\u52a8
1.\u4f4d\u79fbs\uff1dVot-gt2/2 2.\u672b\u901f\u5ea6Vt\uff1dVo-gt \uff08g=9.8m/s2\u224810m/s2\uff09
3.\u6709\u7528\u63a8\u8bbaVt2-Vo2\uff1d-2gs 4.\u4e0a\u5347\u6700\u5927\u9ad8\u5ea6Hm\uff1dVo2/2g(\u629b\u51fa\u70b9\u7b97\u8d77\uff09
5.\u5f80\u8fd4\u65f6\u95f4t\uff1d2Vo/g \uff08\u4ece\u629b\u51fa\u843d\u56de\u539f\u4f4d\u7f6e\u7684\u65f6\u95f4\uff09
\u6ce8:
(1)\u5168\u8fc7\u7a0b\u5904\u7406:\u662f\u5300\u51cf\u901f\u76f4\u7ebf\u8fd0\u52a8\uff0c\u4ee5\u5411\u4e0a\u4e3a\u6b63\u65b9\u5411\uff0c\u52a0\u901f\u5ea6\u53d6\u8d1f\u503c\uff1b
(2)\u5206\u6bb5\u5904\u7406\uff1a\u5411\u4e0a\u4e3a\u5300\u51cf\u901f\u76f4\u7ebf\u8fd0\u52a8\uff0c\u5411\u4e0b\u4e3a\u81ea\u7531\u843d\u4f53\u8fd0\u52a8\uff0c\u5177\u6709\u5bf9\u79f0\u6027\uff1b
(3)\u4e0a\u5347\u4e0e\u4e0b\u843d\u8fc7\u7a0b\u5177\u6709\u5bf9\u79f0\u6027,\u5982\u5728\u540c\u70b9\u901f\u5ea6\u7b49\u503c\u53cd\u5411\u7b49\u3002
\u4e8c\u3001\u8d28\u70b9\u7684\u8fd0\u52a8\uff082\uff09----\u66f2\u7ebf\u8fd0\u52a8\u3001\u4e07\u6709\u5f15\u529b
1)\u5e73\u629b\u8fd0\u52a8
1.\u6c34\u5e73\u65b9\u5411\u901f\u5ea6\uff1aVx\uff1dVo 2.\u7ad6\u76f4\u65b9\u5411\u901f\u5ea6\uff1aVy\uff1dgt
3.\u6c34\u5e73\u65b9\u5411\u4f4d\u79fb\uff1ax\uff1dVot 4.\u7ad6\u76f4\u65b9\u5411\u4f4d\u79fb\uff1ay\uff1dgt2/2
5.\u8fd0\u52a8\u65f6\u95f4t\uff1d(2y/g\uff091/2(\u901a\u5e38\u53c8\u8868\u793a\u4e3a(2h/g)1/2)
6.\u5408\u901f\u5ea6Vt\uff1d(Vx2+Vy2)1/2\uff1d[Vo2+(gt)2]1/2
\u5408\u901f\u5ea6\u65b9\u5411\u4e0e\u6c34\u5e73\u5939\u89d2\u03b2:tg\u03b2\uff1dVy/Vx\uff1dgt/V0
7.\u5408\u4f4d\u79fb\uff1as\uff1d(x2+y2)1/2,
\u4f4d\u79fb\u65b9\u5411\u4e0e\u6c34\u5e73\u5939\u89d2\u03b1:tg\u03b1\uff1dy/x\uff1dgt/2Vo
8.\u6c34\u5e73\u65b9\u5411\u52a0\u901f\u5ea6\uff1aax=0\uff1b\u7ad6\u76f4\u65b9\u5411\u52a0\u901f\u5ea6\uff1aay\uff1dg
\u6ce8\uff1a
(1)\u5e73\u629b\u8fd0\u52a8\u662f\u5300\u53d8\u901f\u66f2\u7ebf\u8fd0\u52a8\uff0c\u52a0\u901f\u5ea6\u4e3ag\uff0c\u901a\u5e38\u53ef\u770b\u4f5c\u662f\u6c34\u5e73\u65b9\u5411\u7684\u5300\u901f\u76f4\u7ebf\u8fd0\u4e0e\u7ad6\u76f4\u65b9\u5411\u7684\u81ea\u7531\u843d\u4f53\u8fd0\u52a8\u7684\u5408\u6210\uff1b
(2)\u8fd0\u52a8\u65f6\u95f4\u7531\u4e0b\u843d\u9ad8\u5ea6h(y)\u51b3\u5b9a\u4e0e\u6c34\u5e73\u629b\u51fa\u901f\u5ea6\u65e0\u5173\uff1b
\uff083\uff09\u03b8\u4e0e\u03b2\u7684\u5173\u7cfb\u4e3atg\u03b2\uff1d2tg\u03b1\uff1b
\uff084\uff09\u5728\u5e73\u629b\u8fd0\u52a8\u4e2d\u65f6\u95f4t\u662f\u89e3\u9898\u5173\u952e\uff1b(5)\u505a\u66f2\u7ebf\u8fd0\u52a8\u7684\u7269\u4f53\u5fc5\u6709\u52a0\u901f\u5ea6\uff0c\u5f53\u901f\u5ea6\u65b9\u5411\u4e0e\u6240\u53d7\u5408\u529b(\u52a0\u901f\u5ea6)\u65b9\u5411\u4e0d\u5728\u540c\u4e00\u76f4\u7ebf\u4e0a\u65f6\uff0c\u7269\u4f53\u505a\u66f2\u7ebf\u8fd0\u52a8\u3002
2\uff09\u5300\u901f\u5706\u5468\u8fd0\u52a8
1.\u7ebf\u901f\u5ea6V\uff1ds/t\uff1d2\u03c0r/T 2.\u89d2\u901f\u5ea6\u03c9\uff1d\u03a6/t\uff1d2\u03c0/T\uff1d2\u03c0f
3.\u5411\u5fc3\u52a0\u901f\u5ea6a\uff1dV2/r\uff1d\u03c92r\uff1d(2\u03c0/T)2r 4.\u5411\u5fc3\u529bF\u5fc3\uff1dmV2/r\uff1dm\u03c92r\uff1dmr(2\u03c0/T)2\uff1dm\u03c9v=F\u5408
5.\u5468\u671f\u4e0e\u9891\u7387\uff1aT\uff1d1/f 6.\u89d2\u901f\u5ea6\u4e0e\u7ebf\u901f\u5ea6\u7684\u5173\u7cfb\uff1aV\uff1d\u03c9r
7.\u89d2\u901f\u5ea6\u4e0e\u8f6c\u901f\u7684\u5173\u7cfb\u03c9\uff1d2\u03c0n(\u6b64\u5904\u9891\u7387\u4e0e\u8f6c\u901f\u610f\u4e49\u76f8\u540c)
8.\u4e3b\u8981\u7269\u7406\u91cf\u53ca\u5355\u4f4d\uff1a\u5f27\u957f(s):\u7c73(m)\uff1b\u89d2\u5ea6(\u03a6)\uff1a\u5f27\u5ea6\uff08rad\uff09\uff1b\u9891\u7387\uff08f\uff09\uff1a\u8d6b\uff08Hz\uff09\uff1b\u5468\u671f\uff08T\uff09\uff1a\u79d2\uff08s\uff09\uff1b\u8f6c\u901f\uff08n\uff09\uff1ar/s\uff1b\u534a\u5f84(r):\u7c73\uff08m\uff09\uff1b\u7ebf\u901f\u5ea6\uff08V\uff09\uff1am/s\uff1b\u89d2\u901f\u5ea6\uff08\u03c9\uff09\uff1arad/s\uff1b\u5411\u5fc3\u52a0\u901f\u5ea6\uff1am/s2\u3002
\u6ce8\uff1a
\uff081\uff09\u5411\u5fc3\u529b\u53ef\u4ee5\u7531\u67d0\u4e2a\u5177\u4f53\u529b\u63d0\u4f9b\uff0c\u4e5f\u53ef\u4ee5\u7531\u5408\u529b\u63d0\u4f9b\uff0c\u8fd8\u53ef\u4ee5\u7531\u5206\u529b\u63d0\u4f9b\uff0c\u65b9\u5411\u59cb\u7ec8\u4e0e\u901f\u5ea6\u65b9\u5411\u5782\u76f4\uff0c\u6307\u5411\u5706\u5fc3\uff1b
\uff082\uff09\u505a\u5300\u901f\u5706\u5468\u8fd0\u52a8\u7684\u7269\u4f53\uff0c\u5176\u5411\u5fc3\u529b\u7b49\u4e8e\u5408\u529b\uff0c\u5e76\u4e14\u5411\u5fc3\u529b\u53ea\u6539\u53d8\u901f\u5ea6\u7684\u65b9\u5411\uff0c\u4e0d\u6539\u53d8\u901f\u5ea6\u7684\u5927\u5c0f\uff0c\u56e0\u6b64\u7269\u4f53\u7684\u52a8\u80fd\u4fdd\u6301\u4e0d\u53d8\uff0c\u5411\u5fc3\u529b\u4e0d\u505a\u529f\uff0c\u4f46\u52a8\u91cf\u4e0d\u65ad\u6539\u53d8\u3002
3)\u4e07\u6709\u5f15\u529b
1.\u5f00\u666e\u52d2\u7b2c\u4e09\u5b9a\u5f8b\uff1aT2/R3\uff1dK(\uff1d4\u03c02/GM)\uff5bR:\u8f68\u9053\u534a\u5f84\uff0cT:\u5468\u671f\uff0cK:\u5e38\u91cf(\u4e0e\u884c\u661f\u8d28\u91cf\u65e0\u5173\uff0c\u53d6\u51b3\u4e8e\u4e2d\u5fc3\u5929\u4f53\u7684\u8d28\u91cf)\uff5d
2.\u4e07\u6709\u5f15\u529b\u5b9a\u5f8b\uff1aF\uff1dGm1m2/r2 \uff08G\uff1d6.67\u00d710-11N•m2/kg2\uff0c\u65b9\u5411\u5728\u5b83\u4eec\u7684\u8fde\u7ebf\u4e0a\uff09
2 \u9ad8\u4e2d\u7269\u7406\u516c\u5f0f\u603b\u7ed3
3.\u5929\u4f53\u4e0a\u7684\u91cd\u529b\u548c\u91cd\u529b\u52a0\u901f\u5ea6\uff1aGMm/R2\uff1dmg\uff1bg\uff1dGM/R2 \uff5bR:\u5929\u4f53\u534a\u5f84(m)\uff0cM\uff1a\u5929\u4f53\u8d28\u91cf\uff08kg\uff09\uff5d
4.\u536b\u661f\u7ed5\u884c\u901f\u5ea6\u3001\u89d2\u901f\u5ea6\u3001\u5468\u671f\uff1aV\uff1d(GM/r)1/2\uff1b\u03c9\uff1d(GM/r3)1/2\uff1bT\uff1d2\u03c0(r3/GM)1/2\uff5bM\uff1a\u4e2d\u5fc3\u5929\u4f53\u8d28\u91cf\uff5d
5.\u7b2c\u4e00(\u4e8c\u3001\u4e09)\u5b87\u5b99\u901f\u5ea6V1\uff1d(g\u5730r\u5730)1/2\uff1d(GM/r\u5730)1/2\uff1d7.9km/s\uff1bV2\uff1d11.2km/s\uff1bV3\uff1d16.7km/s
6.\u5730\u7403\u540c\u6b65\u536b\u661fGMm/(r\u5730+h)2\uff1dm4\u03c02(r\u5730+h)/T2\uff5bh\u224836000km\uff0ch:\u8ddd\u5730\u7403\u8868\u9762\u7684\u9ad8\u5ea6\uff0cr\u5730:\u5730\u7403\u7684\u534a\u5f84\uff5d
\u6ce8:
(1)\u5929\u4f53\u8fd0\u52a8\u6240\u9700\u7684\u5411\u5fc3\u529b\u7531\u4e07\u6709\u5f15\u529b\u63d0\u4f9b,F\u5411\uff1dF\u4e07\uff1b
(2)\u5e94\u7528\u4e07\u6709\u5f15\u529b\u5b9a\u5f8b\u53ef\u4f30\u7b97\u5929\u4f53\u7684\u8d28\u91cf\u5bc6\u5ea6\u7b49\uff1b
(3)\u5730\u7403\u540c\u6b65\u536b\u661f\u53ea\u80fd\u8fd0\u884c\u4e8e\u8d64\u9053\u4e0a\u7a7a\uff0c\u8fd0\u884c\u5468\u671f\u548c\u5730\u7403\u81ea\u8f6c\u5468\u671f\u76f8\u540c\uff1b
(4)\u536b\u661f\u8f68\u9053\u534a\u5f84\u53d8\u5c0f\u65f6,\u52bf\u80fd\u53d8\u5c0f\u3001\u52a8\u80fd\u53d8\u5927\u3001\u901f\u5ea6\u53d8\u5927\u3001\u5468\u671f\u53d8\u5c0f\uff08\u4e00\u540c\u4e09\u53cd\uff09\uff1b
(5)\u5730\u7403\u536b\u661f\u7684\u6700\u5927\u73af\u7ed5\u901f\u5ea6\u548c\u6700\u5c0f\u53d1\u5c04\u901f\u5ea6\u5747\u4e3a7.9km/s\u3002
\u4e09\u3001\u529b\uff08\u5e38\u89c1\u7684\u529b\u3001\u529b\u7684\u5408\u6210\u4e0e\u5206\u89e3\uff09
1\uff09\u5e38\u89c1\u7684\u529b
1.\u91cd\u529bG\uff1dmg \uff08\u65b9\u5411\u7ad6\u76f4\u5411\u4e0b\uff0cg\uff1d9.8m/s2\u224810m/s2\uff0c\u4f5c\u7528\u70b9\u5728\u91cd\u5fc3\uff0c\u9002\u7528\u4e8e\u5730\u7403\u8868\u9762\u9644\u8fd1\uff09
2.\u80e1\u514b\u5b9a\u5f8bF\uff1dkx \uff5b\u65b9\u5411\u6cbf\u6062\u590d\u5f62\u53d8\u65b9\u5411\uff0ck\uff1a\u52b2\u5ea6\u7cfb\u6570(N/m)\uff0cx\uff1a\u5f62\u53d8\u91cf(m)\uff5d
3.\u6ed1\u52a8\u6469\u64e6\u529bF\uff1d\u03bcFN \uff5b\u4e0e\u7269\u4f53\u76f8\u5bf9\u8fd0\u52a8\u65b9\u5411\u76f8\u53cd\uff0c\u03bc\uff1a\u6469\u64e6\u56e0\u6570\uff0cFN\uff1a\u6b63\u538b\u529b(N)\uff5d
4.\u9759\u6469\u64e6\u529b0\u2264f\u9759\u2264fm \uff08\u4e0e\u7269\u4f53\u76f8\u5bf9\u8fd0\u52a8\u8d8b\u52bf\u65b9\u5411\u76f8\u53cd\uff0cfm\u4e3a\u6700\u5927\u9759\u6469\u64e6\u529b\uff09
5.\u4e07\u6709\u5f15\u529bF\uff1dGm1m2/r2 \uff08G\uff1d6.67\u00d710-11N•m2/kg2,\u65b9\u5411\u5728\u5b83\u4eec\u7684\u8fde\u7ebf\u4e0a\uff09
6.\u9759\u7535\u529bF\uff1dkQ1Q2/r2 \uff08k\uff1d9.0\u00d7109N•m2/C2,\u65b9\u5411\u5728\u5b83\u4eec\u7684\u8fde\u7ebf\u4e0a\uff09
7.\u7535\u573a\u529bF\uff1dEq \uff08E\uff1a\u573a\u5f3aN/C\uff0cq\uff1a\u7535\u91cfC\uff0c\u6b63\u7535\u8377\u53d7\u7684\u7535\u573a\u529b\u4e0e\u573a\u5f3a\u65b9\u5411\u76f8\u540c\uff09
8.\u5b89\u57f9\u529bF\uff1dBILsin\u03b8 \uff08\u03b8\u4e3aB\u4e0eL\u7684\u5939\u89d2\uff0c\u5f53L\u22a5B\u65f6:F\uff1dBIL\uff0cB//L\u65f6:F\uff1d0\uff09
9.\u6d1b\u4ed1\u5179\u529bf\uff1dqVBsin\u03b8 \uff08\u03b8\u4e3aB\u4e0eV\u7684\u5939\u89d2\uff0c\u5f53V\u22a5B\u65f6\uff1af\uff1dqVB\uff0cV//B\u65f6:f\uff1d0\uff09
\u6ce8:
(1)\u52b2\u5ea6\u7cfb\u6570k\u7531\u5f39\u7c27\u81ea\u8eab\u51b3\u5b9a;
(2)\u6469\u64e6\u56e0\u6570\u03bc\u4e0e\u538b\u529b\u5927\u5c0f\u53ca\u63a5\u89e6\u9762\u79ef\u5927\u5c0f\u65e0\u5173\uff0c\u7531\u63a5\u89e6\u9762\u6750\u6599\u7279\u6027\u4e0e\u8868\u9762\u72b6\u51b5\u7b49\u51b3\u5b9a;
(3)fm\u7565\u5927\u4e8e\u03bcFN\uff0c\u4e00\u822c\u89c6\u4e3afm\u2248\u03bcFN;
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(5)\u7269\u7406\u91cf\u7b26\u53f7\u53ca\u5355\u4f4dB\uff1a\u78c1\u611f\u5f3a\u5ea6(T)\uff0cL\uff1a\u6709\u6548\u957f\u5ea6(m)\uff0cI:\u7535\u6d41\u5f3a\u5ea6(A)\uff0cV\uff1a\u5e26\u7535\u7c92\u5b50\u901f\u5ea6(m/s),q:\u5e26\u7535\u7c92\u5b50\uff08\u5e26\u7535\u4f53\uff09\u7535\u91cf(C);
(6)\u5b89\u57f9\u529b\u4e0e\u6d1b\u4ed1\u5179\u529b\u65b9\u5411\u5747\u7528\u5de6\u624b\u5b9a\u5219\u5224\u5b9a\u3002
2\uff09\u529b\u7684\u5408\u6210\u4e0e\u5206\u89e3
1.\u540c\u4e00\u76f4\u7ebf\u4e0a\u529b\u7684\u5408\u6210\u540c\u5411:F\uff1dF1+F2\uff0c \u53cd\u5411\uff1aF\uff1dF1-F2 (F1>F2)
2.\u4e92\u6210\u89d2\u5ea6\u529b\u7684\u5408\u6210\uff1a
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3.\u5408\u529b\u5927\u5c0f\u8303\u56f4\uff1a|F1-F2|\u2264F\u2264|F1+F2|
4.\u529b\u7684\u6b63\u4ea4\u5206\u89e3\uff1aFx\uff1dFcos\u03b2\uff0cFy\uff1dFsin\u03b2\uff08\u03b2\u4e3a\u5408\u529b\u4e0ex\u8f74\u4e4b\u95f4\u7684\u5939\u89d2tg\u03b2\uff1dFy/Fx\uff09
\u6ce8\uff1a
(1)\u529b(\u77e2\u91cf)\u7684\u5408\u6210\u4e0e\u5206\u89e3\u9075\u5faa\u5e73\u884c\u56db\u8fb9\u5f62\u5b9a\u5219;
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(3)\u9664\u516c\u5f0f\u6cd5\u5916\uff0c\u4e5f\u53ef\u7528\u4f5c\u56fe\u6cd5\u6c42\u89e3,\u6b64\u65f6\u8981\u9009\u62e9\u6807\u5ea6,\u4e25\u683c\u4f5c\u56fe;
(4)F1\u4e0eF2\u7684\u503c\u4e00\u5b9a\u65f6,F1\u4e0eF2\u7684\u5939\u89d2(\u03b1\u89d2)\u8d8a\u5927\uff0c\u5408\u529b\u8d8a\u5c0f;
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1.\u725b\u987f\u7b2c\u4e00\u8fd0\u52a8\u5b9a\u5f8b(\u60ef\u6027\u5b9a\u5f8b\uff09\uff1a\u7269\u4f53\u5177\u6709\u60ef\u6027\uff0c\u603b\u4fdd\u6301\u5300\u901f\u76f4\u7ebf\u8fd0\u52a8\u72b6\u6001\u6216\u9759\u6b62\u72b6\u6001,\u76f4\u5230\u6709\u5916\u529b\u8feb\u4f7f\u5b83\u6539\u53d8\u8fd9\u79cd\u72b6\u6001\u4e3a\u6b62
2.\u725b\u987f\u7b2c\u4e8c\u8fd0\u52a8\u5b9a\u5f8b\uff1aF\u5408\uff1dma\u6216a\uff1dF\u5408/ma{\u7531\u5408\u5916\u529b\u51b3\u5b9a,\u4e0e\u5408\u5916\u529b\u65b9\u5411\u4e00\u81f4}
3.\u725b\u987f\u7b2c\u4e09\u8fd0\u52a8\u5b9a\u5f8b\uff1aF\uff1d-F´{\u8d1f\u53f7\u8868\u793a\u65b9\u5411\u76f8\u53cd,F\u3001F´\u5404\u81ea\u4f5c\u7528\u5728\u5bf9\u65b9\uff0c\u5e73\u8861\u529b\u4e0e\u4f5c\u7528\u529b\u53cd\u4f5c\u7528\u529b\u533a\u522b\uff0c\u5b9e\u9645\u5e94\u7528\uff1a\u53cd\u51b2\u8fd0\u52a8}
4.\u5171\u70b9\u529b\u7684\u5e73\u8861F\u5408\uff1d0\uff0c\u63a8\u5e7f \uff5b\u6b63\u4ea4\u5206\u89e3\u6cd5\u3001\u4e09\u529b\u6c47\u4ea4\u539f\u7406\uff5d
5.\u8d85\u91cd\uff1aFN>G\uff0c\u5931\u91cd\uff1aFN<G {\u52a0\u901f\u5ea6\u65b9\u5411\u5411\u4e0b\uff0c\u5747\u5931\u91cd\uff0c\u52a0\u901f\u5ea6\u65b9\u5411\u5411\u4e0a\uff0c\u5747\u8d85\u91cd}
6.\u725b\u987f\u8fd0\u52a8\u5b9a\u5f8b\u7684\u9002\u7528\u6761\u4ef6\uff1a\u9002\u7528\u4e8e\u89e3\u51b3\u4f4e\u901f\u8fd0\u52a8\u95ee\u9898\uff0c\u9002\u7528\u4e8e\u5b8f\u89c2\u7269\u4f53\uff0c\u4e0d\u9002\u7528\u4e8e\u5904\u7406\u9ad8\u901f\u95ee\u9898\uff0c\u4e0d\u9002\u7528\u4e8e\u5fae\u89c2\u7c92\u5b50\u3014\u89c1\u7b2c\u4e00\u518cP67\u3015
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1.\u7b80\u8c10\u632f\u52a8F\uff1d-kx {F:\u56de\u590d\u529b\uff0ck:\u6bd4\u4f8b\u7cfb\u6570\uff0cx:\u4f4d\u79fb\uff0c\u8d1f\u53f7\u8868\u793aF\u7684\u65b9\u5411\u4e0ex\u59cb\u7ec8\u53cd\u5411}
3 \u9ad8\u4e2d\u7269\u7406\u516c\u5f0f\u603b\u7ed3
2.\u5355\u6446\u5468\u671fT\uff1d2\u03c0(l/g)1/2 \uff5bl:\u6446\u957f(m)\uff0cg:\u5f53\u5730\u91cd\u529b\u52a0\u901f\u5ea6\u503c\uff0c\u6210\u7acb\u6761\u4ef6:\u6446\u89d2\u03b8>r\uff5d
3.\u53d7\u8feb\u632f\u52a8\u9891\u7387\u7279\u70b9\uff1af\uff1df\u9a71\u52a8\u529b
4.\u53d1\u751f\u5171\u632f\u6761\u4ef6:f\u9a71\u52a8\u529b\uff1df\u56fa\uff0cA\uff1dmax\uff0c\u5171\u632f\u7684\u9632\u6b62\u548c\u5e94\u7528\u3014\u89c1\u7b2c\u4e00\u518cP175\u3015
5.\u673a\u68b0\u6ce2\u3001\u6a2a\u6ce2\u3001\u7eb5\u6ce2\u3014\u89c1\u7b2c\u4e8c\u518cP2\u3015
6.\u6ce2\u901fv\uff1ds/t\uff1d\u03bbf\uff1d\u03bb/T{\u6ce2\u4f20\u64ad\u8fc7\u7a0b\u4e2d\uff0c\u4e00\u4e2a\u5468\u671f\u5411\u524d\u4f20\u64ad\u4e00\u4e2a\u6ce2\u957f\uff1b\u6ce2\u901f\u5927\u5c0f\u7531\u4ecb\u8d28\u672c\u8eab\u6240\u51b3\u5b9a}
7.\u58f0\u6ce2\u7684\u6ce2\u901f(\u5728\u7a7a\u6c14\u4e2d\uff090\u2103\uff1a332m/s\uff1b20\u2103:344m/s\uff1b30\u2103:349m/s\uff1b(\u58f0\u6ce2\u662f\u7eb5\u6ce2)
8.\u6ce2\u53d1\u751f\u660e\u663e\u884d\u5c04\uff08\u6ce2\u7ed5\u8fc7\u969c\u788d\u7269\u6216\u5b54\u7ee7\u7eed\u4f20\u64ad\uff09\u6761\u4ef6\uff1a\u969c\u788d\u7269\u6216\u5b54\u7684\u5c3a\u5bf8\u6bd4\u6ce2\u957f\u5c0f\uff0c\u6216\u8005\u76f8\u5dee\u4e0d\u5927
9.\u6ce2\u7684\u5e72\u6d89\u6761\u4ef6\uff1a\u4e24\u5217\u6ce2\u9891\u7387\u76f8\u540c(\u76f8\u5dee\u6052\u5b9a\u3001\u632f\u5e45\u76f8\u8fd1\u3001\u632f\u52a8\u65b9\u5411\u76f8\u540c)
10.\u591a\u666e\u52d2\u6548\u5e94:\u7531\u4e8e\u6ce2\u6e90\u4e0e\u89c2\u6d4b\u8005\u95f4\u7684\u76f8\u4e92\u8fd0\u52a8\uff0c\u5bfc\u81f4\u6ce2\u6e90\u53d1\u5c04\u9891\u7387\u4e0e\u63a5\u6536\u9891\u7387\u4e0d\u540c\uff5b\u76f8\u4e92\u63a5\u8fd1\uff0c\u63a5\u6536\u9891\u7387\u589e\u5927\uff0c\u53cd\u4e4b\uff0c\u51cf\u5c0f\u3014\u89c1\u7b2c\u4e8c\u518cP21\u3015\uff5d
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1.\u52a8\u91cf\uff1ap\uff1dmv \uff5bp:\u52a8\u91cf(kg/s)\uff0cm:\u8d28\u91cf(kg)\uff0cv:\u901f\u5ea6(m/s)\uff0c\u65b9\u5411\u4e0e\u901f\u5ea6\u65b9\u5411\u76f8\u540c\uff5d
3.\u51b2\u91cf\uff1aI\uff1dFt \uff5bI:\u51b2\u91cf(N•s)\uff0cF:\u6052\u529b(N)\uff0ct:\u529b\u7684\u4f5c\u7528\u65f6\u95f4(s)\uff0c\u65b9\u5411\u7531F\u51b3\u5b9a\uff5d
4.\u52a8\u91cf\u5b9a\u7406\uff1aI\uff1d\u0394p\u6216Ft\uff1dmvt\u2013mvo {\u0394p:\u52a8\u91cf\u53d8\u5316\u0394p\uff1dmvt\u2013mvo\uff0c\u662f\u77e2\u91cf\u5f0f}
5.\u52a8\u91cf\u5b88\u6052\u5b9a\u5f8b\uff1ap\u524d\u603b\uff1dp\u540e\u603b\u6216p\uff1dp\u2019´\u4e5f\u53ef\u4ee5\u662fm1v1+m2v2\uff1dm1v1´+m2v2´
6.\u5f39\u6027\u78b0\u649e\uff1a\u0394p\uff1d0\uff1b\u0394Ek\uff1d0 {\u5373\u7cfb\u7edf\u7684\u52a8\u91cf\u548c\u52a8\u80fd\u5747\u5b88\u6052}
7.\u975e\u5f39\u6027\u78b0\u649e\u0394p\uff1d0\uff1b0<\u0394EK<\u0394EKm {\u0394EK\uff1a\u635f\u5931\u7684\u52a8\u80fd\uff0cEKm\uff1a\u635f\u5931\u7684\u6700\u5927\u52a8\u80fd}
8.\u5b8c\u5168\u975e\u5f39\u6027\u78b0\u649e\u0394p\uff1d0\uff1b\u0394EK\uff1d\u0394EKm {\u78b0\u540e\u8fde\u5728\u4e00\u8d77\u6210\u4e00\u6574\u4f53}
9.\u7269\u4f53m1\u4ee5v1\u521d\u901f\u5ea6\u4e0e\u9759\u6b62\u7684\u7269\u4f53m2\u53d1\u751f\u5f39\u6027\u6b63\u78b0:
v1´\uff1d(m1-m2)v1/(m1+m2) v2´\uff1d2m1v1/(m1+m2)
10.\u75319\u5f97\u7684\u63a8\u8bba-----\u7b49\u8d28\u91cf\u5f39\u6027\u6b63\u78b0\u65f6\u4e8c\u8005\u4ea4\u6362\u901f\u5ea6(\u52a8\u80fd\u5b88\u6052\u3001\u52a8\u91cf\u5b88\u6052)
11.\u5b50\u5f39m\u6c34\u5e73\u901f\u5ea6vo\u5c04\u5165\u9759\u6b62\u7f6e\u4e8e\u6c34\u5e73\u5149\u6ed1\u5730\u9762\u7684\u957f\u6728\u5757M\uff0c\u5e76\u5d4c\u5165\u5176\u4e2d\u4e00\u8d77\u8fd0\u52a8\u65f6\u7684\u673a\u68b0\u80fd\u635f\u5931
E\u635f=mvo2/2-(M+m)vt2/2\uff1dfs\u76f8\u5bf9 {vt:\u5171\u540c\u901f\u5ea6\uff0cf:\u963b\u529b\uff0cs\u76f8\u5bf9\u5b50\u5f39\u76f8\u5bf9\u957f\u6728\u5757\u7684\u4f4d\u79fb}
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(1)\u6b63\u78b0\u53c8\u53eb\u5bf9\u5fc3\u78b0\u649e\uff0c\u901f\u5ea6\u65b9\u5411\u5728\u5b83\u4eec\u201c\u4e2d\u5fc3\u201d\u7684\u8fde\u7ebf\u4e0a;
(2)\u4ee5\u4e0a\u8868\u8fbe\u5f0f\u9664\u52a8\u80fd\u5916\u5747\u4e3a\u77e2\u91cf\u8fd0\u7b97,\u5728\u4e00\u7ef4\u60c5\u51b5\u4e0b\u53ef\u53d6\u6b63\u65b9\u5411\u5316\u4e3a\u4ee3\u6570\u8fd0\u7b97;
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(4)\u78b0\u649e\u8fc7\u7a0b(\u65f6\u95f4\u6781\u77ed\uff0c\u53d1\u751f\u78b0\u649e\u7684\u7269\u4f53\u6784\u6210\u7684\u7cfb\u7edf)\u89c6\u4e3a\u52a8\u91cf\u5b88\u6052,\u539f\u5b50\u6838\u8870\u53d8\u65f6\u52a8\u91cf\u5b88\u6052;
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2.\u91cd\u529b\u505a\u529f\uff1aWab\uff1dmghab {m:\u7269\u4f53\u7684\u8d28\u91cf\uff0cg\uff1d9.8m/s2\u224810m/s2\uff0chab\uff1aa\u4e0eb\u9ad8\u5ea6\u5dee(hab\uff1dha-hb)}
3.\u7535\u573a\u529b\u505a\u529f\uff1aWab\uff1dqUab \uff5bq:\u7535\u91cf\uff08C\uff09\uff0cUab:a\u4e0eb\u4e4b\u95f4\u7535\u52bf\u5dee(V)\u5373Uab\uff1d\u03c6a\uff0d\u03c6b\uff5d
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9.\u7126\u8033\u5b9a\u5f8b\uff1aQ\uff1dI2Rt \uff5bQ:\u7535\u70ed(J)\uff0cI:\u7535\u6d41\u5f3a\u5ea6(A)\uff0cR:\u7535\u963b\u503c(\u03a9)\uff0ct:\u901a\u7535\u65f6\u95f4(s)\uff5d
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15.\u673a\u68b0\u80fd\u5b88\u6052\u5b9a\u5f8b\uff1a\u0394E\uff1d0\u6216EK1+EP1\uff1dEK2+EP2\u4e5f\u53ef\u4ee5\u662fmv12/2+mgh1\uff1dmv22/2+mgh2
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\u6ce8:
(1)\u529f\u7387\u5927\u5c0f\u8868\u793a\u505a\u529f\u5feb\u6162,\u505a\u529f\u591a\u5c11\u8868\u793a\u80fd\u91cf\u8f6c\u5316\u591a\u5c11\uff1b
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W:\u5916\u754c\u5bf9\u7269\u4f53\u505a\u7684\u6b63\u529f(J)\uff0cQ:\u7269\u4f53\u5438\u6536\u7684\u70ed\u91cf(J)\uff0c\u0394U:\u589e\u52a0\u7684\u5185\u80fd(J)\uff0c\u6d89\u53ca\u5230\u7b2c\u4e00\u7c7b\u6c38\u52a8\u673a\u4e0d\u53ef\u9020\u51fa\u3014\u89c1\u7b2c\u4e8c\u518cP40\u3015\uff5d
6.\u70ed\u529b\u5b66\u7b2c\u4e8c\u5b9a\u5f8b
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(2)\u6e29\u5ea6\u662f\u5206\u5b50\u5e73\u5747\u52a8\u80fd\u7684\u6807\u5fd7\uff1b
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\u6ce8:
(1)\u7406\u60f3\u6c14\u4f53\u7684\u5185\u80fd\u4e0e\u7406\u60f3\u6c14\u4f53\u7684\u4f53\u79ef\u65e0\u5173,\u4e0e\u6e29\u5ea6\u548c\u7269\u8d28\u7684\u91cf\u6709\u5173\uff1b
(2)\u516c\u5f0f3\u6210\u7acb\u6761\u4ef6\u5747\u4e3a\u4e00\u5b9a\u8d28\u91cf\u7684\u7406\u60f3\u6c14\u4f53\uff0c\u4f7f\u7528\u516c\u5f0f\u65f6\u8981\u6ce8\u610f\u6e29\u5ea6\u7684\u5355\u4f4d\uff0ct\u4e3a\u6444\u6c0f\u6e29\u5ea6(\u2103)\uff0c\u800cT\u4e3a\u70ed\u529b\u5b66\u6e29\u5ea6(K)\u3002
\u5341\u3001\u7535\u573a
1.\u4e24\u79cd\u7535\u8377\u3001\u7535\u8377\u5b88\u6052\u5b9a\u5f8b\u3001\u5143\u7535\u8377\uff1a(e\uff1d1.60\u00d710-19C\uff09\uff1b\u5e26\u7535\u4f53\u7535\u8377\u91cf\u7b49\u4e8e\u5143\u7535\u8377\u7684\u6574\u6570\u500d
2.\u5e93\u4ed1\u5b9a\u5f8b\uff1aF\uff1dkQ1Q2/r2\uff08\u5728\u771f\u7a7a\u4e2d\uff09\uff5bF:\u70b9\u7535\u8377\u95f4\u7684\u4f5c\u7528\u529b(N)\uff0ck:\u9759\u7535\u529b\u5e38\u91cfk\uff1d9.0\u00d7109N•m2/C2\uff0cQ1\u3001Q2:\u4e24\u70b9\u7535\u8377\u7684\u7535\u91cf(C)\uff0cr:\u4e24\u70b9\u7535\u8377\u95f4\u7684\u8ddd\u79bb(m)\uff0c\u65b9\u5411\u5728\u5b83\u4eec\u7684\u8fde\u7ebf\u4e0a\uff0c\u4f5c\u7528\u529b\u4e0e\u53cd\u4f5c\u7528\u529b\uff0c\u540c\u79cd\u7535\u8377\u4e92\u76f8\u6392\u65a5\uff0c\u5f02\u79cd\u7535\u8377\u4e92\u76f8\u5438\u5f15\uff5d
3.\u7535\u573a\u5f3a\u5ea6\uff1aE\uff1dF/q\uff08\u5b9a\u4e49\u5f0f\u3001\u8ba1\u7b97\u5f0f)\uff5bE:\u7535\u573a\u5f3a\u5ea6(N/C)\uff0c\u662f\u77e2\u91cf\uff08\u7535\u573a\u7684\u53e0\u52a0\u539f\u7406\uff09\uff0cq\uff1a\u68c0\u9a8c\u7535\u8377\u7684\u7535\u91cf(C)\uff5d
4.\u771f\u7a7a\u70b9\uff08\u6e90\uff09\u7535\u8377\u5f62\u6210\u7684\u7535\u573aE\uff1dkQ/r2 \uff5br\uff1a\u6e90\u7535\u8377\u5230\u8be5\u4f4d\u7f6e\u7684\u8ddd\u79bb\uff08m\uff09\uff0cQ\uff1a\u6e90\u7535\u8377\u7684\u7535\u91cf\uff5d
5.\u5300\u5f3a\u7535\u573a\u7684\u573a\u5f3aE\uff1dUAB/d \uff5bUAB:AB\u4e24\u70b9\u95f4\u7684\u7535\u538b(V)\uff0cd:AB\u4e24\u70b9\u5728\u573a\u5f3a\u65b9\u5411\u7684\u8ddd\u79bb(m)\uff5d
6.\u7535\u573a\u529b\uff1aF\uff1dqE \uff5bF:\u7535\u573a\u529b(N)\uff0cq:\u53d7\u5230\u7535\u573a\u529b\u7684\u7535\u8377\u7684\u7535\u91cf(C)\uff0cE:\u7535\u573a\u5f3a\u5ea6(N/C)\uff5d
7.\u7535\u52bf\u4e0e\u7535\u52bf\u5dee\uff1aUAB\uff1d\u03c6A-\u03c6B\uff0cUAB\uff1dWAB/q\uff1d-\u0394EAB/q
8.\u7535\u573a\u529b\u505a\u529f\uff1aWAB\uff1dqUAB\uff1dEqd\uff5bWAB:\u5e26\u7535\u4f53\u7531A\u5230B\u65f6\u7535\u573a\u529b\u6240\u505a\u7684\u529f(J)\uff0cq:\u5e26\u7535\u91cf(C)\uff0cUAB:\u7535\u573a\u4e2dA\u3001B\u4e24\u70b9\u95f4\u7684\u7535\u52bf\u5dee(V)(\u7535\u573a\u529b\u505a\u529f\u4e0e\u8def\u5f84\u65e0\u5173),E:\u5300\u5f3a\u7535\u573a\u5f3a\u5ea6,d:\u4e24\u70b9\u6cbf\u573a\u5f3a\u65b9\u5411\u7684\u8ddd\u79bb(m)\uff5d
9.\u7535\u52bf\u80fd\uff1aEA\uff1dq\u03c6A \uff5bEA:\u5e26\u7535\u4f53\u5728A\u70b9\u7684\u7535\u52bf\u80fd(J)\uff0cq:\u7535\u91cf(C)\uff0c\u03c6A:A\u70b9\u7684\u7535\u52bf(V)\uff5d
10.\u7535\u52bf\u80fd\u7684\u53d8\u5316\u0394EAB\uff1dEB-EA \uff5b\u5e26\u7535\u4f53\u5728\u7535\u573a\u4e2d\u4eceA\u4f4d\u7f6e\u5230B\u4f4d\u7f6e\u65f6\u7535\u52bf\u80fd\u7684\u5dee\u503c\uff5d
11.\u7535\u573a\u529b\u505a\u529f\u4e0e\u7535\u52bf\u80fd\u53d8\u5316\u0394EAB\uff1d-WAB\uff1d-qUAB (\u7535\u52bf\u80fd\u7684\u589e\u91cf\u7b49\u4e8e\u7535\u573a\u529b\u505a\u529f\u7684\u8d1f\u503c)
12.\u7535\u5bb9C\uff1dQ/U(\u5b9a\u4e49\u5f0f,\u8ba1\u7b97\u5f0f) \uff5bC:\u7535\u5bb9(F)\uff0cQ:\u7535\u91cf(C)\uff0cU:\u7535\u538b(\u4e24\u6781\u677f\u7535\u52bf\u5dee)(V)\uff5d
13.\u5e73\u884c\u677f\u7535\u5bb9\u5668\u7684\u7535\u5bb9C\uff1d\u03b5S/4\u03c0kd\uff08S:\u4e24\u6781\u677f\u6b63\u5bf9\u9762\u79ef\uff0cd:\u4e24\u6781\u677f\u95f4\u7684\u5782\u76f4\u8ddd\u79bb\uff0c\u03c9\uff1a\u4ecb\u7535\u5e38\u6570\uff09
\u5e38\u89c1\u7535\u5bb9\u5668\u3014\u89c1\u7b2c\u4e8c\u518cP111\u3015
14.\u5e26\u7535\u7c92\u5b50\u5728\u7535\u573a\u4e2d\u7684\u52a0\u901f(Vo\uff1d0)\uff1aW\uff1d\u0394EK\u6216qU\uff1dmVt2/2\uff0cVt\uff1d(2qU/m)1/2
15.\u5e26\u7535\u7c92\u5b50\u6cbf\u5782\u76f4\u7535\u573a\u65b9\u5411\u4ee5\u901f\u5ea6Vo\u8fdb\u5165\u5300\u5f3a\u7535\u573a\u65f6\u7684\u504f\u8f6c(\u4e0d\u8003\u8651\u91cd\u529b\u4f5c\u7528\u7684\u60c5\u51b5\u4e0b)
\u7c7b\u5e73 \u5782\u76f4\u7535\u573a\u65b9\u5411:\u5300\u901f\u76f4\u7ebf\u8fd0\u52a8L\uff1dVot(\u5728\u5e26\u7b49\u91cf\u5f02\u79cd\u7535\u8377\u7684\u5e73\u884c\u6781\u677f\u4e2d\uff1aE\uff1dU/d)
\u629b\u8fd0\u52a8 \u5e73\u884c\u7535\u573a\u65b9\u5411:\u521d\u901f\u5ea6\u4e3a\u96f6\u7684\u5300\u52a0\u901f\u76f4\u7ebf\u8fd0\u52a8d\uff1dat2/2\uff0ca\uff1dF/m\uff1dqE/m
\u6ce8:
(1)\u4e24\u4e2a\u5b8c\u5168\u76f8\u540c\u7684\u5e26\u7535\u91d1\u5c5e\u5c0f\u7403\u63a5\u89e6\u65f6,\u7535\u91cf\u5206\u914d\u89c4\u5f8b:\u539f\u5e26\u5f02\u79cd\u7535\u8377\u7684\u5148\u4e2d\u548c\u540e\u5e73\u5206,\u539f\u5e26\u540c\u79cd\u7535\u8377\u7684\u603b\u91cf\u5e73\u5206\uff1b
(2)\u7535\u573a\u7ebf\u4ece\u6b63\u7535\u8377\u51fa\u53d1\u7ec8\u6b62\u4e8e\u8d1f\u7535\u8377,\u7535\u573a\u7ebf\u4e0d\u76f8\u4ea4,\u5207\u7ebf\u65b9\u5411\u4e3a\u573a\u5f3a\u65b9\u5411,\u7535\u573a\u7ebf\u5bc6\u5904\u573a\u5f3a\u5927,\u987a\u7740\u7535\u573a\u7ebf\u7535\u52bf\u8d8a\u6765\u8d8a\u4f4e,\u7535\u573a\u7ebf\u4e0e\u7b49\u52bf\u7ebf\u5782\u76f4\uff1b
\uff083\uff09\u5e38\u89c1\u7535\u573a\u7684\u7535\u573a\u7ebf\u5206\u5e03\u8981\u6c42\u719f\u8bb0\u3014\u89c1\u56fe[\u7b2c\u4e8c\u518cP98]\uff1b
(4)\u7535\u573a\u5f3a\u5ea6\uff08\u77e2\u91cf\uff09\u4e0e\u7535\u52bf\uff08\u6807\u91cf\uff09\u5747\u7531\u7535\u573a\u672c\u8eab\u51b3\u5b9a,\u800c\u7535\u573a\u529b\u4e0e\u7535\u52bf\u80fd\u8fd8\u4e0e\u5e26\u7535\u4f53\u5e26\u7684\u7535\u91cf\u591a\u5c11\u548c\u7535\u8377\u6b63\u8d1f\u6709\u5173\uff1b
(5)\u5904\u4e8e\u9759\u7535\u5e73\u8861\u5bfc\u4f53\u662f\u4e2a\u7b49\u52bf\u4f53,\u8868\u9762\u662f\u4e2a\u7b49\u52bf\u9762,\u5bfc\u4f53\u5916\u8868\u9762\u9644\u8fd1\u7684\u7535\u573a\u7ebf\u5782\u76f4\u4e8e\u5bfc\u4f53\u8868\u9762\uff0c\u5bfc\u4f53\u5185\u90e8\u5408\u573a\u5f3a\u4e3a\u96f6,\u5bfc\u4f53\u5185\u90e8\u6ca1\u6709\u51c0\u7535\u8377,\u51c0\u7535\u8377\u53ea\u5206\u5e03\u4e8e\u5bfc\u4f53\u5916\u8868\u9762\uff1b
(6)\u7535\u5bb9\u5355\u4f4d\u6362\u7b97\uff1a1F\uff1d106\u03bcF\uff1d1012PF\uff1b
(7\uff09\u7535\u5b50\u4f0f(eV)\u662f\u80fd\u91cf\u7684\u5355\u4f4d,1eV\uff1d1.60\u00d710-19J\uff1b
(8)\u5176\u5b83\u76f8\u5173\u5185\u5bb9\uff1a\u9759\u7535\u5c4f\u853d\u3014\u89c1\u7b2c\u4e8c\u518cP101\u3015/\u793a\u6ce2\u7ba1\u3001\u793a\u6ce2\u5668\u53ca\u5176\u5e94\u7528\u3014\u89c1\u7b2c\u4e8c\u518cP114\u3015\u7b49\u52bf\u9762\u3014\u89c1\u7b2c\u4e8c\u518cP105\u3015\u3002
\u5341\u4e00\u3001\u6052\u5b9a\u7535\u6d41
1.\u7535\u6d41\u5f3a\u5ea6\uff1aI\uff1dq/t\uff5bI:\u7535\u6d41\u5f3a\u5ea6(A\uff09\uff0cq:\u5728\u65f6\u95f4t\u5185\u901a\u8fc7\u5bfc\u4f53\u6a2a\u8f7d\u9762\u7684\u7535\u91cf(C\uff09\uff0ct:\u65f6\u95f4(s\uff09\uff5d
2.\u6b27\u59c6\u5b9a\u5f8b\uff1aI\uff1dU/R \uff5bI:\u5bfc\u4f53\u7535\u6d41\u5f3a\u5ea6(A)\uff0cU:\u5bfc\u4f53\u4e24\u7aef\u7535\u538b(V)\uff0cR:\u5bfc\u4f53\u963b\u503c(\u03a9)\uff5d
3.\u7535\u963b\u3001\u7535\u963b\u5b9a\u5f8b\uff1aR\uff1d\u03c1L/S\uff5b\u03c1:\u7535\u963b\u7387(\u03a9•m)\uff0cL:\u5bfc\u4f53\u7684\u957f\u5ea6(m)\uff0cS:\u5bfc\u4f53\u6a2a\u622a\u9762\u79ef(m2)\uff5d
4.\u95ed\u5408\u7535\u8def\u6b27\u59c6\u5b9a\u5f8b\uff1aI\uff1dE/(r+R)\u6216E\uff1dIr+IR\u4e5f\u53ef\u4ee5\u662fE\uff1dU\u5185+U\u5916
\uff5bI:\u7535\u8def\u4e2d\u7684\u603b\u7535\u6d41(A)\uff0cE:\u7535\u6e90\u7535\u52a8\u52bf(V)\uff0cR:\u5916\u7535\u8def\u7535\u963b(\u03a9)\uff0cr:\u7535\u6e90\u5185\u963b(\u03a9)\uff5d
5.\u7535\u529f\u4e0e\u7535\u529f\u7387\uff1aW\uff1dUIt\uff0cP\uff1dUI\uff5bW:\u7535\u529f(J)\uff0cU:\u7535\u538b(V)\uff0cI:\u7535\u6d41(A)\uff0ct:\u65f6\u95f4(s)\uff0cP:\u7535\u529f\u7387(W)\uff5d
6 \u9ad8\u4e2d\u7269\u7406\u516c\u5f0f\u603b\u7ed3
6.\u7126\u8033\u5b9a\u5f8b\uff1aQ\uff1dI2Rt\uff5bQ:\u7535\u70ed(J)\uff0cI:\u901a\u8fc7\u5bfc\u4f53\u7684\u7535\u6d41(A)\uff0cR:\u5bfc\u4f53\u7684\u7535\u963b\u503c(\u03a9)\uff0ct:\u901a\u7535\u65f6\u95f4(s)\uff5d
7.\u7eaf\u7535\u963b\u7535\u8def\u4e2d:\u7531\u4e8eI\uff1dU/R,W\uff1dQ\uff0c\u56e0\u6b64W\uff1dQ\uff1dUIt\uff1dI2Rt\uff1dU2t/R
8.\u7535\u6e90\u603b\u52a8\u7387\u3001\u7535\u6e90\u8f93\u51fa\u529f\u7387\u3001\u7535\u6e90\u6548\u7387\uff1aP\u603b\uff1dIE\uff0cP\u51fa\uff1dIU\uff0c\u03b7\uff1dP\u51fa/P\u603b\uff5bI:\u7535\u8def\u603b\u7535\u6d41(A)\uff0cE:\u7535\u6e90\u7535\u52a8\u52bf(V)\uff0cU:\u8def\u7aef\u7535\u538b(V)\uff0c\u03b7\uff1a\u7535\u6e90\u6548\u7387\uff5d
9.\u7535\u8def\u7684\u4e32/\u5e76\u8054 \u4e32\u8054\u7535\u8def(P\u3001U\u4e0eR\u6210\u6b63\u6bd4) \u5e76\u8054\u7535\u8def(P\u3001I\u4e0eR\u6210\u53cd\u6bd4)
\u7535\u963b\u5173\u7cfb(\u4e32\u540c\u5e76\u53cd) R\u4e32\uff1dR1+R2+R3+ 1/R\u5e76\uff1d1/R1+1/R2+1/R3+
\u7535\u6d41\u5173\u7cfb I\u603b\uff1dI1\uff1dI2\uff1dI3 I\u5e76\uff1dI1+I2+I3+
\u7535\u538b\u5173\u7cfb U\u603b\uff1dU1+U2+U3+ U\u603b\uff1dU1\uff1dU2\uff1dU3
\u529f\u7387\u5206\u914d P\u603b\uff1dP1+P2+P3+ P\u603b\uff1dP1+P2+P3+
10.\u6b27\u59c6\u8868\u6d4b\u7535\u963b
(1)\u7535\u8def\u7ec4\u6210 (2)\u6d4b\u91cf\u539f\u7406
\u4e24\u8868\u7b14\u77ed\u63a5\u540e,\u8c03\u8282Ro\u4f7f\u7535\u8868\u6307\u9488\u6ee1\u504f\uff0c\u5f97
Ig\uff1dE/(r+Rg+Ro)
\u63a5\u5165\u88ab\u6d4b\u7535\u963bRx\u540e\u901a\u8fc7\u7535\u8868\u7684\u7535\u6d41\u4e3a
Ix\uff1dE/(r+Rg+Ro+Rx)\uff1dE/(R\u4e2d+Rx)
\u7531\u4e8eIx\u4e0eRx\u5bf9\u5e94\uff0c\u56e0\u6b64\u53ef\u6307\u793a\u88ab\u6d4b\u7535\u963b\u5927\u5c0f
(3)\u4f7f\u7528\u65b9\u6cd5:\u673a\u68b0\u8c03\u96f6\u3001\u9009\u62e9\u91cf\u7a0b\u3001\u6b27\u59c6\u8c03\u96f6\u3001\u6d4b\u91cf\u8bfb\u6570\uff5b\u6ce8\u610f\u6321\u4f4d(\u500d\u7387)\uff5d\u3001\u62e8off\u6321\u3002
(4)\u6ce8\u610f:\u6d4b\u91cf\u7535\u963b\u65f6\uff0c\u8981\u4e0e\u539f\u7535\u8def\u65ad\u5f00,\u9009\u62e9\u91cf\u7a0b\u4f7f\u6307\u9488\u5728\u4e2d\u592e\u9644\u8fd1,\u6bcf\u6b21\u6362\u6321\u8981\u91cd\u65b0\u77ed\u63a5\u6b27\u59c6\u8c03\u96f6\u3002
11.\u4f0f\u5b89\u6cd5\u6d4b\u7535\u963b
\u7535\u6d41\u8868\u5185\u63a5\u6cd5\uff1a \u7535\u6d41\u8868\u5916\u63a5\u6cd5\uff1a
\u7535\u538b\u8868\u793a\u6570\uff1aU\uff1dUR+UA \u7535\u6d41\u8868\u793a\u6570\uff1aI\uff1dIR+IV
Rx\u7684\u6d4b\u91cf\u503c\uff1dU/I\uff1d(UA+UR)/IR\uff1dRA+Rx>R\u771f Rx\u7684\u6d4b\u91cf\u503c\uff1dU/I\uff1dUR/(IR+IV)\uff1dRVRx/(RV+R)<R\u771f
\u9009\u7528\u7535\u8def\u6761\u4ef6Rx>>RA [\u6216Rx>(RARV)1/2] \u9009\u7528\u7535\u8def\u6761\u4ef6Rx<<RV [\u6216Rx<(RARV)1/2]
12.\u6ed1\u52a8\u53d8\u963b\u5668\u5728\u7535\u8def\u4e2d\u7684\u9650\u6d41\u63a5\u6cd5\u4e0e\u5206\u538b\u63a5\u6cd5
\u9650\u6d41\u63a5\u6cd5
\u7535\u538b\u8c03\u8282\u8303\u56f4\u5c0f,\u7535\u8def\u7b80\u5355,\u529f\u8017\u5c0f \u7535\u538b\u8c03\u8282\u8303\u56f4\u5927,\u7535\u8def\u590d\u6742,\u529f\u8017\u8f83\u5927
\u4fbf\u4e8e\u8c03\u8282\u7535\u538b\u7684\u9009\u62e9\u6761\u4ef6Rp>Rx \u4fbf\u4e8e\u8c03\u8282\u7535\u538b\u7684\u9009\u62e9\u6761\u4ef6Rp<Rx
\u6ce81)\u5355\u4f4d\u6362\u7b97\uff1a1A\uff1d103mA\uff1d106\u03bcA\uff1b1kV\uff1d103V\uff1d106mA\uff1b1M\u03a9\uff1d103k\u03a9\uff1d106\u03a9
(2)\u5404\u79cd\u6750\u6599\u7684\u7535\u963b\u7387\u90fd\u968f\u6e29\u5ea6\u7684\u53d8\u5316\u800c\u53d8\u5316,\u91d1\u5c5e\u7535\u963b\u7387\u968f\u6e29\u5ea6\u5347\u9ad8\u800c\u589e\u5927\uff1b(3)\u4e32\u8054\u603b\u7535\u963b\u5927\u4e8e\u4efb\u4f55\u4e00\u4e2a\u5206\u7535\u963b,\u5e76\u8054\u603b\u7535\u963b\u5c0f\u4e8e\u4efb\u4f55\u4e00\u4e2a\u5206\u7535\u963b\uff1b(4)\u5f53\u7535\u6e90\u6709\u5185\u963b\u65f6,\u5916\u7535\u8def\u7535\u963b\u589e\u5927\u65f6,\u603b\u7535\u6d41\u51cf\u5c0f,\u8def\u7aef\u7535\u538b\u589e\u5927\uff1b(5)\u5f53\u5916\u7535\u8def\u7535\u963b\u7b49\u4e8e\u7535\u6e90\u7535\u963b\u65f6,\u7535\u6e90\u8f93\u51fa\u529f\u7387\u6700\u5927,\u6b64\u65f6\u7684\u8f93\u51fa\u529f\u7387\u4e3aE2/(2r)\uff1b(6)\u5176\u5b83\u76f8\u5173\u5185\u5bb9\uff1a\u7535\u963b\u7387\u4e0e\u6e29\u5ea6\u7684\u5173\u7cfb\u534a\u5bfc\u4f53\u53ca\u5176\u5e94\u7528\u8d85\u5bfc\u53ca\u5176\u5e94\u7528\u3014\u89c1\u7b2c\u4e8c\u518cP127\u3015\u3002
\u5341\u4e8c\u3001\u78c1\u573a
1.\u78c1\u611f\u5e94\u5f3a\u5ea6\u662f\u7528\u6765\u8868\u793a\u78c1\u573a\u7684\u5f3a\u5f31\u548c\u65b9\u5411\u7684\u7269\u7406\u91cf,\u662f\u77e2\u91cf\uff0c\u5355\u4f4dT),1T\uff1d1N/A•m
2.\u5b89\u57f9\u529bF\uff1dBIL\uff1b(\u6ce8\uff1aL\u22a5B) {B:\u78c1\u611f\u5e94\u5f3a\u5ea6(T),F:\u5b89\u57f9\u529b(F),I:\u7535\u6d41\u5f3a\u5ea6(A),L:\u5bfc\u7ebf\u957f\u5ea6(m)}
3.\u6d1b\u4ed1\u5179\u529bf\uff1dqVB(\u6ce8V\u22a5B);\u8d28\u8c31\u4eea\u3014\u89c1\u7b2c\u4e8c\u518cP155\u3015 \uff5bf:\u6d1b\u4ed1\u5179\u529b(N)\uff0cq:\u5e26\u7535\u7c92\u5b50\u7535\u91cf(C)\uff0cV:\u5e26\u7535\u7c92\u5b50\u901f\u5ea6(m/s)\uff5d
4.\u5728\u91cd\u529b\u5ffd\u7565\u4e0d\u8ba1(\u4e0d\u8003\u8651\u91cd\u529b)\u7684\u60c5\u51b5\u4e0b,\u5e26\u7535\u7c92\u5b50\u8fdb\u5165\u78c1\u573a\u7684\u8fd0\u52a8\u60c5\u51b5(\u638c\u63e1\u4e24\u79cd)\uff1a
\uff081\uff09\u5e26\u7535\u7c92\u5b50\u6cbf\u5e73\u884c\u78c1\u573a\u65b9\u5411\u8fdb\u5165\u78c1\u573a:\u4e0d\u53d7\u6d1b\u4ed1\u5179\u529b\u7684\u4f5c\u7528,\u505a\u5300\u901f\u76f4\u7ebf\u8fd0\u52a8V\uff1dV0
(2)\u5e26\u7535\u7c92\u5b50\u6cbf\u5782\u76f4\u78c1\u573a\u65b9\u5411\u8fdb\u5165\u78c1\u573a:\u505a\u5300\u901f\u5706\u5468\u8fd0\u52a8,\u89c4\u5f8b\u5982\u4e0ba)F\u5411\uff1df\u6d1b\uff1dmV2/r\uff1dm\u03c92r\uff1dmr(2\u03c0/T)2\uff1dqVB\uff1br\uff1dmV/qB\uff1bT\uff1d2\u03c0m/qB\uff1b(b)\u8fd0\u52a8\u5468\u671f\u4e0e\u5706\u5468\u8fd0\u52a8\u7684\u534a\u5f84\u548c\u7ebf\u901f\u5ea6\u65e0\u5173,\u6d1b\u4ed1\u5179\u529b\u5bf9\u5e26\u7535\u7c92\u5b50\u4e0d\u505a\u529f(\u4efb\u4f55\u60c5\u51b5\u4e0b)\uff1b©\u89e3\u9898\u5173\u952e:\u753b\u8f68\u8ff9\u3001\u627e\u5706\u5fc3\u3001\u5b9a\u534a\u5f84\u3001\u5706\u5fc3\u89d2\uff08\uff1d\u4e8c\u500d\u5f26\u5207\u89d2\uff09\u3002
\u6ce8\uff1a
(1)\u5b89\u57f9\u529b\u548c\u6d1b\u4ed1\u5179\u529b\u7684\u65b9\u5411\u5747\u53ef\u7531\u5de6\u624b\u5b9a\u5219\u5224\u5b9a\uff0c\u53ea\u662f\u6d1b\u4ed1\u5179\u529b\u8981\u6ce8\u610f\u5e26\u7535\u7c92\u5b50\u7684\u6b63\u8d1f\uff1b
(2)\u78c1\u611f\u7ebf\u7684\u7279\u70b9\u53ca\u5176\u5e38\u89c1\u78c1\u573a\u7684\u78c1\u611f\u7ebf\u5206\u5e03\u8981\u638c\u63e1\u3014\u89c1\u56fe\u53ca\u7b2c\u4e8c\u518cP144\u3015\uff1b(3)\u5176\u5b83\u76f8\u5173\u5185\u5bb9\uff1a\u5730\u78c1\u573a/\u78c1\u7535\u5f0f\u7535\u8868\u539f\u7406\u3014\u89c1\u7b2c\u4e8c\u518cP150\u3015/\u56de\u65cb\u52a0\u901f\u5668\u3014\u89c1\u7b2c\u4e8c\u518cP156\u3015/\u78c1\u6027\u6750\u6599
\u5341\u4e09\u3001\u7535\u78c1\u611f\u5e94
1.[\u611f\u5e94\u7535\u52a8\u52bf\u7684\u5927\u5c0f\u8ba1\u7b97\u516c\u5f0f]
7 \u9ad8\u4e2d\u7269\u7406\u516c\u5f0f\u603b\u7ed3
1)E\uff1dn\u0394\u03a6/\u0394t\uff08\u666e\u9002\u516c\u5f0f\uff09\uff5b\u6cd5\u62c9\u7b2c\u7535\u78c1\u611f\u5e94\u5b9a\u5f8b\uff0cE\uff1a\u611f\u5e94\u7535\u52a8\u52bf(V)\uff0cn\uff1a\u611f\u5e94\u7ebf\u5708\u531d\u6570\uff0c\u0394\u03a6/\u0394t:\u78c1\u901a\u91cf\u7684\u53d8\u5316\u7387\uff5d
2)E\uff1dBLV\u5782(\u5207\u5272\u78c1\u611f\u7ebf\u8fd0\u52a8) \uff5bL:\u6709\u6548\u957f\u5ea6(m)\uff5d
3)Em\uff1dnBS\u03c9\uff08\u4ea4\u6d41\u53d1\u7535\u673a\u6700\u5927\u7684\u611f\u5e94\u7535\u52a8\u52bf\uff09 \uff5bEm:\u611f\u5e94\u7535\u52a8\u52bf\u5cf0\u503c\uff5d
4)E\uff1dBL2\u03c9/2\uff08\u5bfc\u4f53\u4e00\u7aef\u56fa\u5b9a\u4ee5\u03c9\u65cb\u8f6c\u5207\u5272\uff09 \uff5b\u03c9:\u89d2\u901f\u5ea6(rad/s)\uff0cV:\u901f\u5ea6(m/s)\uff5d
2.\u78c1\u901a\u91cf\u03a6\uff1dBS {\u03a6:\u78c1\u901a\u91cf(Wb),B:\u5300\u5f3a\u78c1\u573a\u7684\u78c1\u611f\u5e94\u5f3a\u5ea6(T),S:\u6b63\u5bf9\u9762\u79ef(m2)}
3.\u611f\u5e94\u7535\u52a8\u52bf\u7684\u6b63\u8d1f\u6781\u53ef\u5229\u7528\u611f\u5e94\u7535\u6d41\u65b9\u5411\u5224\u5b9a\uff5b\u7535\u6e90\u5185\u90e8\u7684\u7535\u6d41\u65b9\u5411\uff1a\u7531\u8d1f\u6781\u6d41\u5411\u6b63\u6781\uff5d
*4.\u81ea\u611f\u7535\u52a8\u52bfE\u81ea\uff1dn\u0394\u03a6/\u0394t\uff1dL\u0394I/\u0394t\uff5bL:\u81ea\u611f\u7cfb\u6570(H)(\u7ebf\u5708L\u6709\u94c1\u82af\u6bd4\u65e0\u94c1\u82af\u65f6\u8981\u5927)\uff0c\u0394I:\u53d8\u5316\u7535\u6d41\uff0c∆t:\u6240\u7528\u65f6\u95f4\uff0c\u0394I/\u0394t:\u81ea\u611f\u7535\u6d41\u53d8\u5316\u7387(\u53d8\u5316\u7684\u5feb\u6162)\uff5d
\u6ce8\uff1a(1)\u611f\u5e94\u7535\u6d41\u7684\u65b9\u5411\u53ef\u7528\u695e\u6b21\u5b9a\u5f8b\u6216\u53f3\u624b\u5b9a\u5219\u5224\u5b9a\uff0c\u695e\u6b21\u5b9a\u5f8b\u5e94\u7528\u8981\u70b9\u3014\u89c1\u7b2c\u4e8c\u518cP173\u3015\uff1b(2)\u81ea\u611f\u7535\u6d41\u603b\u662f\u963b\u788d\u5f15\u8d77\u81ea\u611f\u7535\u52a8\u52bf\u7684\u7535\u6d41\u7684\u53d8\u5316\uff1b(3)\u5355\u4f4d\u6362\u7b97\uff1a1H\uff1d103mH\uff1d106\u03bcH\u3002(4)\u5176\u5b83\u76f8\u5173\u5185\u5bb9\uff1a\u81ea\u611f\u3014\u89c1\u7b2c\u4e8c\u518cP178\u3015/\u65e5\u5149\u706f\u3014\u89c1\u7b2c\u4e8c\u518cP180\u3015\u3002
\u4e8c
\u67d0\u7269\u4f53\u505a\u81ea\u7531\u843d\u4f53\u8fd0\u52a8,\u4ece\u8d77\u70b9\u6c14\u5411\u4e0b\u5c06\u5176\u5206\u4e3a\u4e09\u6bb5,\u4f7f\u7269\u4f53\u901a\u8fc7\u4e09\u6bb5\u4f4d\u79fb\u7684\u65f6\u95f4\u4e4b\u6bd4\u4e3a1\uff1a2\uff1a3,\u5219\u6b64\u4e09\u6bb5\u4f4d\u79fb\u4e4b\u6bd4\u4e3a\u591a\u5c11?
\u89e3:H1=0.5gT^2,\u7b2c\u4e00\u6bb5\u4f4d\u79fbS1=H1
T2=(1+2)T=3T,H2=0.5g(3T)^2=9H1,\u7b2c\u4e8c\u6bb5\u4f4d\u79fbS2=H2-H1=8H1
T3=(1+2+3)T=6T,H3=0.5g(6T)^2=36H1,\u7b2c\u4e09\u6bb5\u4f4d\u79fbS3=H3-H2=27H1
S1:S2:S3=1:8:27
\u4e09
\u7269\u4f53\u4ece\u697c\u9876\u5904\u81ea\u7531\u4e0b\u843d\uff08\u4e0d\u8ba1\u7a7a\u6c14\u963b\u529b\uff09,\u843d\u5230\u5730\u9762\u7684\u901f\u5ea6\u4e3aV,\u90a3\u4e48\u7269\u4f53\u4ece\u697c\u9876\u843d\u5230\u697c\u9ad8\u4e00\u534a\u5904\u6240\u7ecf\u5386\u7684\u65f6\u95f4\u4e3a
A V/2 B V/\uff082g) C \u6839\u53f72V/\uff082g) D (2-\u6839\u53f72\uff09V/\uff082g)
\u89e3:V^2=2gH
V1^2=2g(H/2)
\u4e24\u5f0f\u76f8\u6bd4\u5f97
V1=V/(2^1/2)
V1=gt
t=V1/g=V/[g*\u6839\u53f72]=V*\u6839\u53f72/(2g)
\u9009C
\u56db
\u5300\u901f\u76f4\u7ebf\u8fd0\u52a8\u5c31\u662f\u77ac\u65f6\u901f\u5ea6\u4fdd\u6301\u4e0d\u53d8\u7684\u76f4\u7ebf\u8fd0\u52a8,\u90a3\u53ef\u4e0d\u53ef\u4ee5\u8bf4\u5300\u901f\u76f4\u7ebf\u8fd0\u52a8\u5c31\u662f\u5e73\u5747\u901f\u5ea6\u4fdd\u6301\u4e0d\u53d8\u7684\u76f4\u7ebf\u8fd0\u52a8?
\u7b54:\u4e0d\u786e\u5207,\u5982\u679c\u662f\u5168\u7a0b\u7684\u5e73\u5747\u901f\u5ea6,\u90a3\u53ea\u6709\u4e00\u4e2a"\u5e73\u5747\u901f\u5ea6",\u4e0d\u5b58\u5728\u53d8\u4e0d\u53d8\u7684\u95ee\u9898.
\u5982\u679c\u8981\u7528\u5e73\u5747\u901f\u5ea6\u6765\u63cf\u8ff0\u5300\u901f\u76f4\u7ebf\u8fd0\u52a8,\u53ef\u4ee5\u8fd9\u6837\u8868\u8ff0:\u5300\u901f\u76f4\u7ebf\u8fd0\u52a8\u662f\u8fd0\u52a8\u8fc7\u7a0b\u4e2d\u4efb\u610f\u65f6\u95f4\u6bb5\u7684\u5e73\u5747\u901f\u5ea6\u90fd\u76f8\u7b49\u7684\u76f4\u7ebf\u8fd0\u52a8.
\u4e94
\u4e00\u4e2a\u7269\u4f53\u4f5c\u5300\u52a0\u901f\u76f4\u7ebf\u8fd0\u52a8 \u5b83\u5728\u7b2c3s\u5185\u8d70\u4e863m \u7b2c7s\u5185\u8d70\u4e867m \u5219\u7269\u4f53\u7684\u521d\u901f\u5ea6\u662f\u591a\u5c11?
\u89e3: \u8bbe\u521d\u901f\u5ea6\u4e3aVo,\u52a0\u901f\u5ea6\u4e3aa
\u7b2c3s\u5185\u7684\u5e73\u5747\u901f\u5ea6\u4e3a
V=[(Vo+3a)+(Vo+2a)]/2=Vo+2.5a,
\u7b2c3s\u5185\u7684\u4f4d\u79fb\u4e3a
S=V*1
3=Vo+2.5a.
\u7b2c7s\u5185\u7684\u5e73\u5747\u901f\u5ea6\u548c\u4f4d\u79fb\u5206\u522b\u4e3a
V'=Vo+6.5a
7=Vo+6.5a.
\u7531\u548c\u5f0f\u5f97
Vo=0.5m/s
\u516d
\u505a\u5300\u52a0\u901f\u76f4\u7ebf\u8fd0\u52a8\u7684\u7269\u4f53,\u901f\u5ea6\u4eceV\u589e\u52a0\u81f32V\u662f\u5176\u4f4d\u79fb\u4e3aX,\u6c42\u5b83\u901f\u5ea6\u4ece2V\u589e\u81f34V\u662f\u53d1\u751f\u7684\u4f4d\u79fb.
\u89e3:2aX=(2V)^2-V^2=3V^2
2aX'=(4V)^2-(2V)^2=12V^2
\u4e0b\u5f0f\u6bd4\u4e0a\u5f0f,\u5f97\u6240\u6c42\u4f4d\u79fb\u4e3a
X'=4X
\u4e03
\u505a\u5300\u52a0\u901f\u76f4\u7ebf\u8fd0\u52a8\u7684\u7269\u4f53,\u5728A\u70b9\u65f6\u901f\u5ea6\u4e3aVA,\u5728B\u70b9\u65f6\u901f\u5ea6\u4e3aVB,\u5219\u7269\u4f53\u5728A B \u4e2d\u70b9\u65f6\u901f\u5ea6?\u5728A B\u4e2d\u95f4\u65f6\u523b\u7684\u901f\u5ea6
\u89e3:
\u8bbe\u5728\u4f4d\u7f6e\u4e2d\u70b9C\u7684\u901f\u5ea6\u4e3aV1
2a*AC=V1^-Va^2
2a*CB=Vb^2-V1^2
AC=CB
V1^2-Va^2=Vb^2-V1^2
V1=[(Va^2+Vb^2)/2]^1/2
\u8bbe\u5728\u65f6\u95f4\u4e2d\u70b9\u7684\u901f\u5ea6\u4e3aV2,A-->B \u5171\u7528\u65f6\u4e3a2t
\u524d\u534a\u65f6,V2=Va+at
\u540e\u534a\u65f6,Vb=V2+at
\u4e0a\u5f0f-\u4e0b\u5f0f \u5f97
V2-Vb=Va-V2
V2=(Va+Vb)/2
\u516b
\u4e00\u7269\u4f53\u4f5c\u521d\u901f\u5ea6\u4e3a\u96f6\u7684\u5300\u52a0\u901f\u76f4\u7ebf\u8fd0\u52a8,\u5728\u524d4\u79d2\u5185\u7684\u4f4d\u79fb\u4e3aS,\u6700\u540e2\u79d2\u5185\u7684\u4f4d\u79fb\u4e3a2S,\u6c42\uff1a\u8be5\u7269\u4f53\u8fd0\u52a8\u7684\u52a0\u901f\u5ea6\u5927\u5c0f?\u5728\u8fd9\u6bb5\u65f6\u95f4\u5185\u7684\u603b\u4f4d\u79fb?
\u89e3:
\u524d4\u79d2\u5185:
S=(1/2)at^2=0.5a*4*4=8a
a=S/8
\u8bbe\u8fd9\u6bb5\u65f6\u95f4\u4e3aT,\u603b\u4f4d\u79fb\u4e3aX,
\u6700\u540e2\u79d2\u5185\u7684\u4f4d\u79fb\u4e3a
(1/2)aT^2-(1/2)a(T-2)^2
=(0.5*S/8)([T^2-(T^2-4T+4)]
=S(4T-4)/16=S(T-1)/4
\u6545 2S=S(T-1)/4
T=9s
\u603b\u4f4d\u79fbX=(1/2)aT^2=(1/2)*(S/8)*9^2=(81/16)S
\u4e5d
\u78c1\u60ac\u6d6e\u5217\u8f66\u7684\u6700\u9ad8\u65f6\u901f\u4e3a430km/h,\u4ece\u5f20\u6c5f\u81f3\u4e0a\u6d77\u6d66\u4e1c\u56fd\u9645\u673a\u573a\u603b\u8def\u7a0b\u4e3a29.863km,\u4e58\u5ba2\u4ec57\u5206\u949f\u5c31\u53ef\u4ee5\u4ece\u6d66\u4e1c\u673a\u573a\u5230\u5f20\u6c5f.\u5047\u8bbe\u542f\u52a8\u548c\u5239\u8f66\u7684\u52a0\u901f\u5ea6\u76f8\u7b49,\u5176\u4ee5\u6700\u9ad8\u65f6\u901f\u884c\u9a76\u7684\u65f6\u95f4\u4e3a\uff08 \uff09,\u52a0\u901f\u5ea6\u662f\uff08 \uff09
\u89e3:
S=29.863km=29863m,T=7min=420s,Vm=430km/h=119.44m/s
\u8bbe\u542f\u52a8\u548c\u5239\u8f66\u7684\u52a0\u901f\u5ea6\u7684\u5927\u5c0f\u4e3aa,\u65f6\u95f4\u90fd\u4e3at,\u663e\u7136 at=Vm
S=2*(1/2)at^2+Vm*(T-2t)=at*t+Vm(T-2t)=Vm*t+VmT-2tVm=Vm(T-t)
29863=119.44(420-t)
t=420-29863/119.44=170s
\u4ee5\u6700\u9ad8\u65f6\u901f\u884c\u9a76\u7684\u65f6\u95f4\u4e3a
T'=T-2t=420-2*170=250s,\u53734min10s
\u52a0\u901f\u5ea6a=Vm/t=119.44/170=0.703m/s^2
\u5341
\u4e00\u4e2a\u6ed1\u5757\u6cbf\u659c\u9762\u52a0\u901f\u5ea6\u6ed1\u4e0b,\u4f9d\u6b21\u901a\u8fc7A\u3001B\u3001C\u4e09\u70b9,\u5df2\u77e5AB=6M,BC=10M,\u6ed1\u8fc7AB\u3001BC\u4e24\u6bb5\u4f4d\u79fb\u7684\u65f6\u95f4\u90fd\u662f2S,\u6c42
\uff081\uff09\u6ed1\u5757\u7684\u52a0\u901f\u5ea6
\uff082\uff09\u6ed1\u5757\u5728A\u3001C\u7684\u77ac\u65f6\u901f\u5ea6
\u89e3:(1)\u8bbe\u6ed1\u5757\u7684\u52a0\u901f\u5ea6\u4e3aa,Vb=Va+2a,Vc=Va+4a
\u5728AB\u6bb5:
\u5e73\u5747\u901f\u5ea6V1'=Sab/2=3m/s
\u800cV1'=(Va+Vb)/2=[Va+(va+2a)]/2=Va+a
\u6545Va+a=3 .
\u5bf9AC,
\u5e73\u5747\u901f\u5ea6V2'=Sac/(2+2)=(6+10)/4=4m/s
\u800cV2'=(Va+Vc)/2=[Va+(Va+4a)]/2=Va+2a
\u6545 Va+2a=4 .
\u7531-\u5f97
a=1m/s^2
(2)
\u7531\u77e5 Va=3-a=3-1=2m/s
Vb=Va+2a=2+2*1=4m/s
Vc=Va+4a=2*4*1=6m/s
\u5341\uff0d
\u600e\u6837\u63a8\u51fa\u7269\u7406\u516c\u5f0f\u534a\u7a0b=2v1v2/(v1+v2)\u4e0e\u534a\u65f6=(v1+v2)/2
\u89e3:1)\u534a\u7a0b
\u8bbe\u5168\u7a0b\u4f4d\u79fb\u4e3a2x,\u5219\u534a\u7a0b\u4e3ax
\u524d\u4e36\u540e\u534a\u7a0b\u7528\u65f6\u5206\u522b\u4e3a t1=x/V1,t2=x/V2
\u5171\u7528\u65f6 T=t1+t2=x/V1+x/V2=x(1/V1+1/V2)=x(V1+V2)/(V1*V2)
\u5168\u7a0b\u5e73\u5747\u901f\u5ea6V=2x/T=2V1V2/(V1+V2)
2)\u534a\u65f6
\u8bbe\u8fd0\u52a8\u603b\u65f6\u95f4\u4e3aT=2t,\u5219\u534a\u65f6\u4e3at
S1=V1*t,S2=V2*t
S=S1+S2=(V1+V2)t
\u603b\u5e73\u5747\u901f\u5ea6V=S/T=S/(2t)=[(V1+V2)t]/(2t)=(V1+V2)/2
\u5341\u4e8c
\u4e00\u4e2a\u7269\u4f53\u8fd0\u52a8\u65f6,\u8def\u7a0b\u603b\u662f\u5927\u4e8e\u6216\u7b49\u4e8e\u4f4d\u79fb\u7684\u5927\u5c0f.\u8fd9\u53e5\u8bdd\u5bf9\u5417?\u8bf4\u51fa\u7406\u7531.
\u89e3:\u5bf9
\u5355\u5411\u76f4\u7ebf\u8fd0\u52a8\u4e2d,\u4e8c\u8005\u76f8\u7b49
\u53cc\u5411\u76f4\u7ebf\u8fd0\u52a8(\u5982\u5f39\u7c27\u632f\u52a8)\u4e2d,\u4efc\u4e00\u6bb5\u8def\u7a0b\u90fd\u7b49\u4e8e\u6216\u5927\u4e8e\u4f4d\u79fb\u7684\u5927\u5c0f
\u66f2\u7ebf\u8fd0\u52a8\u4e2d,\u8def\u7a0b=\u5f27\u957f,\u4f4d\u79fb\u5927\u5c0f=\u5f26\u957f,\u5f27\u957f\u5927\u4e8e\u5f26\u957f
\u5341\u4e09
\u6c7d\u8f66\u4ece\u9759\u6b62\u5f00\u59cb\u4ee5A1\u7684\u52a0\u901f\u5ea6\u505a\u5300\u52a0\u901f\u76f4\u7ebf\u8fd0\u52a8,\u7ecf\u8fc7\u4e00\u6bb5\u65f6\u95f4\u540e\u4ee5A2\u7684\u52a0\u901f\u5ea6\u505a\u5300\u51cf\u901f\u76f4\u7ebf\u8fd0\u52a8,\u5b83\u4e00\u5171\u524d\u8fdb\u4e86L\u7684\u8ddd\u79bb\u540e\u9759\u6b62,\u6c42\u6c7d\u8f66\u8fd0\u52a8\u7684\u603b\u65f6\u95f4
\u89e3:\u8bbe\u52a0\u901f\u65f6\u95f4\u4e3at1,\u51cf\u901f\u65f6\u4e3at2
A1*t1=A2*t2
A1/A2=t2/t1
(A1+A2)/A2=(t1+t2)/t1=T/t1,T\u4e3a\u8fd0\u52a8\u603b\u65f6\u95f4
t1=TA2/((A1+A2)
\u5e73\u5747\u901f\u5ea6V'=L/T=A1*t1/2
T=2L/(A1t1)=2L(A1+A2)/(T*A1*A2)
T=[2L(A1+A2)/(A1*A2)]^1/2
\u5341\u4e09
\u4e00\u7269\u4f53\u4f5c\u5300\u52a0\u901f\u8fd0\u52a8,\u521d\u901f\u4e3aV0,\u672b\u901f\u4e3aV1,\u901a\u8fc7\u524d2/3\u4f4d\u79fb\u7684\u901f\u5ea6\u4e3a\u591a\u5927?\u7ecf\u8fc7\u524d2/3\u65f6\u7684\u901f\u5ea6\u4e3a\u591a\u5927?
\u89e3:V1^2-Vo^2=2aS.
\u8fc7\u524d2/3\u4f4d\u79fb\u7684\u901f\u5ea6\u8bbe\u4e3aV
V^2-Vo^2=2a(2/3)S.
\u7531\u548c\u5f97
V=[(Vo^2+2V1^2)/3]^1/2
\u7ecf\u8fc7\u524d2/3\u65f6\u7684\u901f\u5ea6\u8bbe\u4e3aV'
V1-Vo=at
V'-Vo=a(2/3)t
\u7531\u4e0a\u4e24\u5f0f\u5f97
V'=(Vo+2V1)/3
\u5341\u56db
\u4e00\u4e2a\u7269\u4f53\u4f5c\u5300\u52a0\u901f\u76f4\u7ebf\u8fd0\u52a8,\u5728\u6700\u521d\u7684\u4e24\u4e2a\u8fde\u63a5\u76f8\u540c\u7684\u65f6\u95f4\u95f4\u9694\u5185\u901a\u8fc7\u7684\u4f4d\u79fb\u5206\u522b\u662f24m\u548c64m,\u6bcf\u4e00\u65f6\u95f4\u95f4\u9694\u4e3a4s,\u6c42\uff1a1.\u521d\u901f\u5ea62.\u52a0\u901f\u5ea63.\u7b2c3s\u5185\u4f4d\u79fb4.\u7b2c5s\u672b\u7684\u901f\u5ea6
\u89e3:\u5300\u53d8\u901f\u8fd0\u52a8\u4e2d,\u5e73\u5747\u901f\u5ea6=\u65f6\u95f4\u4e2d\u70b9\u77ac\u65f6\u901f\u5ea6
t1=2s\u7684\u77ac\u65f6\u901f\u5ea6V1=\u7b2c\u4e00\u4e2a4s\u5185\u5e73\u5747\u901f\u5ea6=24m/4s=6m/s
t2=6s\u7684\u77ac\u65f6\u901f\u5ea6V2=\u7b2c\u4e8c\u4e2a4s\u5185\u5e73\u5747\u901f\u5ea6=64m/4s=16m/s
\u52a0\u901f\u5ea6\u4e3a
a=(v2-V1)/(t2-t1)=(16-6)/(6-2)=2.5m/s^2
\u7531V1=Vo+at1
\u5f97\u521d\u901f\u5ea6\u4e3a
Vo=V1-at1=6-2.5*2=1m/s
\u7b2c3s\u5185\u5e73\u5747\u901f\u5ea6V=2.5s\u65f6\u77ac\u65f6\u901f\u5ea6=V1+0.5a=6+0.5*2.5=7.25m/s
\u7b2c3s\u5185\u4f4d\u79fbS=V*1=7.25*1=7.25m
\u7b2c5s\u672b\u7684\u901f\u5ea6 V'=Vo+5a=1+5*2.5=13.5m/s
\u5341\u4e94
\u4e00\u5217\u706b\u8f66\u7531\u9759\u6b62\u4ece\u8f66\u7ad9\u51fa\u53d1\u505a\u5300\u52a0\u901f\u76f4\u7ebf\u8fd0\u52a8,\u4e00\u89c2\u5bdf\u8005\u7ad9\u5728\u8fd9\u5217\u706b\u8f66\u7b2c\u4e00\u8282\u8f66\u53a2\u7684\u524d\u7aef,\u7ecf10s\u7b2c\u4e00\u8282\u8f66\u53a2\u5168\u90e8\u901a\u8fc7,\u5219\u524d\u4e5d\u8282\u8f66\u53a2\u7ecf\u8fc7_____\u65f6\u95f4\u53ef\u4ece\u89c2\u5bdf\u8005\u8eab\u8fb9\u5168\u90e8\u901a\u8fc7,\u7b2c\u4e5d\u8282\u8f66\u53a2\u7ecf\u8fc7\u89c2\u5bdf\u8005\u6240\u9700\u7684\u65f6\u95f4\u662f__________?
\u89e3:\u8bbe\u4e00\u8282\u8f66\u53a2\u957fL
L=(1/2)aT1^2.
8L=(1/2)aT2^2.
9L=(1/2)aT3^2.
/\u5f97 T2=(\u6839\u53f78)T1=2.828*10=28.25s
/\u5f97\u524d\u4e5d\u8282\u8f66\u53a2\u5168\u90e8\u7ecf\u8fc7\u89c2\u5bdf\u8005\u6240\u9700\u65f6\u95f4\u4e3a
T3=3T1=30s
\u7b2c\u4e5d\u8282\u8f66\u53a2\u7ecf\u8fc7\u89c2\u5bdf\u8005\u6240\u9700\u7684\u65f6\u95f4\u662f
T3-T2=30-28.28=1.72s
\u5341\u516d
\u4e00\u7403\u6ed1\u884c,\u4e00\u6b21\u901a\u8fc7\u957f\u5ea6\u90fd\u4e3aL\u7684\u4e24\u6bb5\u8ddd\u79bb,\u5e76\u7ee7\u7eed\u5411\u524d\u8fd0\u52a8.\u901a\u8fc7\u7b2c\u4e00\u6bb5\u4e3aT,\u7b2c\u4e8c\u6bb5\u4e3a\u65f6\u95f4\u662f2T.\u53ef\u770b\u4f5c\u5300\u53d8\u901f\u8fd0\u52a8.\u6c42\u7b2c\u4e00\u6bb5\u672b\u7684\u901f\u5ea6
\u89e3:\u5e73\u5747\u901f\u5ea6=\u65f6\u95f4\u4e2d\u70b9\u77ac\u65f6\u901f\u5ea6
\u8bbe\u8fdb\u5165\u7b2c\u4e00\u6bb5\u524d\u8fd0\u52a8\u7684\u65f6\u95f4\u4e3at
\u5728 t1=t+T/2\u65f6,V1=L/T
\u5728\u7b2c\u4e8c\u6bb5\u65f6\u95f4\u4e2d\u70b9,\u5373 t2=t+2T\u65f6,V2=L/2T
\u52a0\u901f\u5ea6 a=(V2-V1)/(t2-t1)=[-L/(2T)]/[(3/2)T=-L/(3T^2)
\u7b2c\u4e00\u6bb5\u672b\u7684\u901f\u5ea6\u4e3a
V=V1+a(T/2)=L/T-[L/(3T^2)*T/2=L/T-L/(6T)=(5/6)L/T
\u5341\u4e03
\u6c7d\u8f66\u6b63\u5e38\u884c\u9a76\u901f\u7387\u4e3a120KM/H.\u5239\u8f66\u4ea7\u751f\u7684\u6700\u5927\u52a0\u901f\u5ea6\u4e3a8m/s,\u53f8\u673a\u53cd\u5e94\u65f6\u95f4\uff08\u4ece\u610f\u8bc6\u5230\u5e94\u8be5\u505c\u8f66\u5230\u64cd\u4f5c\u5239\u8f66\u7684\u65f6\u95f4\uff09\u662f0.6\u79d2.\u5982\u679c\u80fd\u89c1\u5ea6\u4e3a40M,\u4e3a\u5b89\u5168\u884c\u9a76,\u884c\u9a76\u901f\u5ea6\u5e94\u5982\u4f55\u9650\u5236
\u89e3:\u53cd\u5e94\u65f6\u95f4\u5185\u4f4d\u79fbS1=Vt=0.6V
\u5f00\u59cb\u5239\u8f66\u540e\u4f4d\u79fbS2=V^2/2a=V^2/(2*8)=V^2/16
S=S1+S2
40=0.6V+V^2/16
V^2+9.6V-640=0
\u6240\u6c42\u884c\u9a76\u901f\u5ea6\u5e94\u4e0d\u5927\u4e8e
V=20.95m/s =75.42km/h
\u53e6-\u89e3\u6cd5:
\u51cf\u901f\u6bb5\u4f4d\u79fbS=40-0.6V
0-V^2=2aS
-V^2=2*(-8)(40-0.6V)
V^2=16(40-0.6V)
...
\u5341\u516b
\u8bc1\u660e\u505a\u81ea\u7531\u843d\u4f53\u8fd0\u52a8\u7684\u7269\u4f53\u4ece\u9759\u6b62\u5f00\u59cb\u8fde\u7eed\u7684\u76f8\u7b49\u7684\u95f4\u9694\u5185\u7684\u4f4d\u79fb\u4e4b\u6bd4\u4e3a1\uff1a3\uff1a5
\u89e3:0-->t\u5185\u4f4d\u79fb,H1=0.5gt^2
t--2t\u5185\u4f4d\u79fb,H2=0.5g(2t)^2-H1=2gt^2-0.5gt^2=1.5gt^2
2t-->3t\u5185\u4f4d\u79fb,H3=0.5g(3t)^2-H1-H2=4.5gt^2-0.5gt^2-1.5gt^2=2.5gt^2
H1:H2:H3=1:3:5
\u5341\u4e5d
\u4e00\u8d28\u70b9\u7531a\u70b9\u9759\u6b62\u51fa\u53d1\u505a\u5300\u52a0\u901f\u76f4\u7ebf\u8fd0\u52a8,4\u79d2\u672b\u5230\u8fbeb\u70b9,\u7acb\u5373\u505a\u5300\u51cf\u901f\u76f4\u7ebf\u8fd0\u52a8,\u518d\u7ecf\u8fc76\u79d2\u5230\u8fbec\u70b9,\u505c\u6b62,\u5df2\u77e5ac\uff1d30M,\u6c42\u5230\u8fbeB\u70b9\u7684\u901f\u5ea6,AB\u6bb5\u7684\u5e73\u5747\u901f\u5ea6\u548cBC\u6bb5\u7684\u4f4d\u79fb
\u89e3: A-->B,
\u5300\u52a0\u901f,\u52a0\u901f\u5ea6a,\u65f6\u95f4t=4s,
\u5728B\u70b9\u901f\u5ea6\u6700\u5927,\u4e3a Vb=at,\u5e73\u5747\u901f\u5ea6V'=Vb/2=at/2=4a/2=2a
B-->C,
\u7531Vb\u51cf\u901f\u81f30,\u5300\u51cf\u901f,\u65f6\u95f4t'=6s,
\u51cf\u901f\u6bb5\u5e73\u5747\u901f\u5ea6\u4e5f\u4e3aV'=at/2,\u6545\u5168\u7a0b\u7684\u5e73\u5747\u901f\u5ea6\u4e5f\u4e3aV'=at/2=2a
A-->C
\u4f4d\u79fb=\u5e73\u5747\u901f\u5ea6*\u65f6\u95f4
30=2a*(4+6)=20a
a=30/20=1.5m/s^2
AB\u6bb5\u7684\u5e73\u5747\u901f\u5ea6V'=2a=2*1.5=3m/s
BC\u6bb5\u7684\u4f4d\u79fbSbc=V't'=3*6=12m
\u4e8c\u5341
\u8df3\u4f1e\u8fd0\u52a8\u5458\u4ece296m\u7684\u9ad8\u7a7a\u8df3\u4e0b,\u4ed6\u81ea\u7531\u4e0b\u843d\u4e00\u6bb5\u8ddd\u79bb\u540e\u6253\u5f00\u4f1e,\u5df22m/\u4e8c\u6b21\u65b9\u79d2\u7684\u52a0\u901f\u5ea6\u5300\u51cf\u901f\u4e0b\u964d,\u5230\u8fbe\u5730\u9762\u7684\u901f\u5ea6\u4e3a4m/s.\u6c42\uff1a\u8fd0\u52a8\u5458\u5728\u7a7a\u4e2d\u4e0b\u843d\u7684\u65f6\u95f4
\u89e3:\u8bbe\u81ea\u7531\u4e0b\u843d\u7684\u65f6\u95f4\u4e3at1
\u5219\u81ea\u7531\u4e0b\u843d\u7684\u9ad8\u5ea6\u4e3a h1=(1/2)gt1^2=5t1^2
\u6253\u5f00\u4f1e\u540e\u51cf\u901f\u4e0b\u843d\u7684\u521d\u901f\u5ea6V1=\u81ea\u7531\u4e0b\u843d\u672b\u901f\u5ea6=gt1=10t1
\u51cf\u901f\u4e0b\u843d\u9ad8\u5ea6h2=H-h1=296-5t1^2
\u51cf\u901f\u4e0b\u843d\u672b\u901fV2=4m/s,\u52a0\u901f\u5ea6a=-2m/s^2
V2^2-V1^2=2ah2
4*4-(10t1)^2=2*(-2)*(296-5t1^2)
t1^2=10
t1=\u6839\u53f710=3.16s
V1=gt1=10*3.16=31.6m/s
t2=(V2-V1)/a2=(4-31.6)/(-2)=13.8s
\u8fd0\u52a8\u5458\u5728\u7a7a\u4e2d\u4e0b\u843d\u7684\u65f6\u95f4 \u4e3a
t=t1+t2=3.16+13.8=16.96s
\u7269\u7406\uff1a1\u30011kg\u7684\u6c34\u548c1kg\u7684\u6cb9\u6df7\u5408\u540e\u7684\u5bc6\u5ea6\u4e3a0.9g/cm^3,\u6c42\u6df7\u5408\u540e\u81f3\u591a\u7684\u7269\u4f53\u8d28\u91cf.
2\u3001\u8d28\u91cf\u76f8\u540c\u7684\u6c34\u548c\u6cb9\u6df7\u5408\u540e,\u6c42\u6df7\u5408\u540e\u5bc6\u5ea6.
3\u3001\u6709\u4e00\u94dc\u91d1\u5236\u6210\u7269,V=70cm^3,m=0.313kg,\u6c42\u94dc\u91d1\u542b\u91cf\u5404\u591a\u5c11.
4\u3001\u7528\u5bc6\u5ea6\u4e3a1.1x10^3kg/m^3\u7684\u76d0\u6c34\u9009\u79cd\u5b50,\u73b0\u914d\u7f6e0.5\u7acb\u65b9\u5206\u7c73,\u8d28\u91cf\u4e3a0.6\u5343\u514b\u7684\u76d0\u6c34,\u662f\u5426\u5408\u8981\u6c42,\u82e5\u4e0d\u5408,\u52a0\u76d0\u8fd8\u662f\u52a0\u6c34,\u52a0\u591a\u5c11?
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1.1、 汽车以40 km/h的速度匀速行驶，现以0.6 m/s2的加速度加速，10 s后速度能达到多少？
分析：此问题已知v0、a、t，求vt，因此可利用速度关系来求解.
解析：设初速度的方向为正方向，v0=40 km/h= m/s=11 m/s
因为加速，故a与v0同向，a=0.6 m/s2，时间t=10 s
10 s后速度为：v=v0+at=11 m/s+0.6 m/s2×10 s=17 m/s.
答案：17 m/s
（注意做题格式）
2、小明驾驶汽车以v=20 m/s的速度匀速行驶，突然前面有紧急情况，（如图2-2-7所示）小明紧急刹车，加速度大小为4 m/s2.求汽车6 s末的速度。
学生先独立分析，然后再根据学生的做题结果加以说明。
错解：在式子v=v0+at中有四个物理量，题目中出现了其中的三个，即v0=20 m/s，a=-4 m/s2，t=6 s代入公式中，解得：v=v0+at=20+（-4）×6 m/s=-4 m/s
意思是车正以4 m/s的速度后退，这显然与实际现象违背。
正解：设汽车速度减为0时所经历的时间为t，
已知v0=20 m/s，vt=0, a= -4 m/s2，求t
由v=v0+at，带入数据解得t=5s
即刹车5s后，汽车速度减为零，以后就会静止，不会后退，故6s末的速度为0。
3、 某汽车在平直公路上以43.2 km/h的速度匀速正常行驶，现因前方出现危险情况而紧急刹车，加速度的大小是6 m/s2.问刹车后经过5 s，汽车的速度变为多少？
分析：此题与例题相似，解此类题目先求刹车时间t，然后比较t与t0的关系得出结论.
解析：设汽车经时间t0停止.
v0=43.2 km/h=12 m/s，v=0，a=-6 m/s2
由v=v0+at得t0= = s=2 s
则知汽车从刹车开始经过2 s速度就减为零，故再经过3 s，汽车速度仍为零.
答案：0
4、火车沿平直铁轨匀加速前进，通过某一路标时的速度为10.8 km/h，1 min后变成54 km/h，又需经多少时间，火车的速度才能达到64.8 km/h
三个不同时刻的速度分别为
v1=10.8 km/h=3 m/s
v2=54 km/h=15 m/s
v3=64.8 km/h=18 m/s
时间t1=1 min=60 s
据a= 得加速度
a= m/s2=0.2 m/s2
则时间t2= = s=15 s.
5、 发射卫星一般应用多级火箭，第一级火箭点火后，使卫星向上匀加速运动的加速度为50 m/s2，燃烧30 s后第一级脱离，第二级火箭没有马上点火，所以卫星向上做加速度为10 m/s2的匀减速运动，10 s后第二级火箭启动，卫星的加速度为80 m/s2，这样经过1分半钟第二级火箭脱离时，卫星的速度多大？
解析：整个过程中卫星的运动不是匀变速直线运动，但可以分为三个匀变速直线运动处理.
第一级火箭燃烧完毕时的速度v1=a1t1=50×30 s=1 500 m/s
减速上升10 s后的速度v2=v1-a2t2=1 500 s-10×10 s=1 400 m/s
第二级火箭脱离时的速度v3=v2+a3t3=400 s+80×90 s=8 600 m/s.
答案：8 600 m/s
这样的题有很多的。如果你是学生，没有必要这样熟练公式，我高考物理满分-1，就是2010届的我。运动学最简单了，时间位移速度之间的关系都是像数学中的映射一样，一一对应的，而这三个公式只是一个变换而已。较难的题目一般采用多元化的形式，比如火车以80米一秒的速度行驶，前方500米油一个石壁，那么火车此时鸣笛，多久听到第二次声音。这个就是一个相对运动的运动学问题。同样很简单，理解了就知道，它的易错点就是参考系容易混淆。只要抓住一个参考系解题。就不会出错。自己算算吧，答案可以告诉我。我们可以探讨一下，什么方法最快最简单。
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绛旓細鍦ㄧ墿浣撳钩琛℃椂锛屽嵆锛氭敹鍒板悎澶栧姏涓0鏃讹紝1濡傛灉鍙敹鍒颁袱涓姏锛屽垯杩欎袱涓姏绛夊煎弽鍚戯紱2濡傛灉鏀跺埌涓変釜鍔涳紝鍒欏叾涓袱涓姏鐨勫悎鍔涗笌鍙︿竴涓姏绛夊煎弽鍚戙備笉杩囦笁涓垨涓変釜浠ヤ笂鍔涘钩琛′竴鑸敤姝ｄ氦鍒嗚В鐨勬柟娉曘楂樹竴鐗╃悊蹇呬慨涓鍏充簬寮圭哀鐨勮绠棰 涓鏍硅交璐ㄥ脊绨э紝褰撳畠鍦100N鐨勬媺鍔涗綔鐢ㄤ笅锛屾婚暱搴︿负0.55m銆傚綋瀹冨湪300N...
绛旓細娉ㄦ剰锛氾紙1锛夊寑閫熷渾鍛ㄨ繍鍔ㄧ殑鐗╀綋鐨勫悜蹇冨姏灏辨槸鐗╀綋鎵鍙楃殑鍚堝鍔涳紝鎬绘槸鎸囧悜鍦嗗績銆傦紙2锛夊崼鏄熺粫鍦扮悆銆佽鏄熺粫澶槼浣滃寑閫熷渾鍛ㄨ繍鍔ㄧ殑鍚戝績鍔涚敱涓囨湁寮曞姏鎻愪緵銆傦紙3锛 姘㈠師瀛愭牳澶栫數瀛愮粫鍘熷瓙鏍镐綔鍖閫熷渾鍛ㄨ繍鍔ㄧ殑鍚戝績鍔涚敱鍘熷瓙鏍稿鏍稿鐢靛瓙鐨勫簱浠戝姏鎻愪緵銆15銆佸钩鎶涜繍鍔ㄥ叕寮忥細鍖閫熺洿绾胯繍鍔ㄥ拰鍒濋熷害涓洪浂鐨勫寑鍔犻熺洿绾胯繍鍔...
绛旓細鍩烘湰鐗╃悊閲忓拰鐩稿叧鍩烘湰鍏紡(鐗╃悊蹇呬慨涓)锛堜竴锛夊熀鏈墿鐞嗛噺 1銆佹椂闂达細鐢ㄥ瓧姣峵琛ㄧず锛屸柍t琛ㄧず鏃堕棿闂撮殧锛堟椂闂村彉鍖栭噺锛夛細鈻硉=t2-t1 锛1锛夊浗闄呭埗鍗曚綅锛氱锛坰锛夛紱 甯哥敤鍗曚綅锛氱锛坰锛夈佸垎閽燂紙min锛夈佸皬鏃讹紙h锛夛紙2锛夊崟浣嶆崲绠楋細1h=60min=3600s 1min=60s 2銆佽矾绋嬶細鐗╀綋杩愬姩杞ㄨ抗鐨勯暱搴︼紝鏍囬噺銆備綅绉...
绛旓細浣犲ソ锛1锛夊寑閫熶笅婊戣鏄庢懇鎿﹀姏锛濋噸鍔涚殑鍒嗗姏锛屽垯鏈夌瓑寮弇g脳cos37脳u锛堟懇鎿︾郴鏁帮級锛漨g脳sin37姹傚緱u绾︼紳0.75锛2锛夋帹鍔涜绛変簬鎽╂摝鍔涘姞閲嶅姏鐨勫垎鍔涙墠鑳藉寑閫熶笂鍒掞紝鎵浠ユ帹鍔涜鏄偅涓懇鎿﹀姏鐨勪袱鍊嶏紝鎵浠锛2脳mg脳sin37锛120.4锛圢锛夊笇鏈涘浣犵殑瀛︿範鏈夊府鍔﹡O(鈭鈭)O~銆傛弧鎰忚閲囩撼~O(鈭鈭)O璋㈣阿 ...
绛旓細鍔犻熷害锛屾寚鐨勬槸閫熷害闅忔椂闂寸殑鍙樺寲閲忋傚彧瑕佸姞閫熷害涓烘鍊硷紝鍒欓熷害閮芥槸鍦ㄤ笉鏂澶х殑銆侫鎻忚堪鐨勬槸鍙樺姞閫熻繍鍔紝鍔犻熷害鐢变竴涓鐩翠笉鏂噺灏忚嚦0锛岃櫧鐒跺姞閫熷害鍦ㄤ笉鏂噺灏戯紝浣嗘槸鍦ㄨ繖涓椂闂存鐨勪换浣曟椂鍒诲姞閫熷害閮藉ぇ浜0锛屾墍浠ラ熷害鍦ㄤ竴鐩村澶э紝鐩磋嚦鍔犻熷害涓0鏃讹紝鐗╀綋寮濮嬪寑鍙橀熻繍鍔紝閫熷害杈惧埌鏈澶с傝嫢鍦ㄥ姞閫熷害涓0鏃讹紝...
绛旓細鏄鏈悧锛熷鏋滀笉鏄鏈紝鍙槸瀛︿範璧勬枡鐨勮瘽锛岃繖浜涜祫鏂欙紝閮芥槸涓夋祦涔﹁穿瀛愯嚜宸辩紪鍐欑殑锛岄鐩兘鏄湪缃戠粶涓婁笅杞斤紝涓冩嫾鍏噾鐨勶紝娌℃湁鏁翠綋鐨勬爣鍑嗙瓟妗堬紝浣嗕綘杈撳叆涓浜涢鐩殑鍏抽敭瀛楋紝鍙互鍦ㄧ綉缁滀笂鎵惧埌杩欎釜棰樼洰锛屽強绛旀銆
绛旓細婊戝姩涔嬪悗鐨勯棶棰樺氨瑕佺敤鍒板姏鐨勪笁瑙掑舰鏉ヨВ鍐充簡锛屽湪杩欎釜鍔涚殑涓夎褰箣涓紝FOA銆丗OB銆佷簩鑰呯殑鍚堝姏锛屽垎鍒槸涓夎竟銆傝繖涓夎呬箣涓紝鍚堝姏鏂瑰悜鍜屽ぇ灏忛兘鏄笉鍙樼殑锛堝拰閲嶅姏绛夊ぇ鍙嶅悜锛夛紝鐒跺悗FOA鍜屽悎鍔涚殑澶硅鏄浐瀹氱殑锛屼负a銆傚仛涓夎褰BO锛孎OA涓篛A杈癸紝鍚堝姏涓篈B杈癸紝鐜板湪鐨勯棶棰樺氨鏄粠B鐐瑰線OA涓婄敾绾匡紝浣犲仛鍑轰笁瑙掑舰鏉ヤ竴鐢...
绛旓細灏辫繖涓簡
绛旓細锛1锛3.6m/s2 锛2锛7.8m/s 瑙ｆ瀽锛氾紙1锛夊鐗╁潡杩涜鍙楀姏鍒嗘瀽锛屾部鏂滈潰鏂瑰悜鍙楀姏鎯呭喌涓猴細鍙楁粦鍔ㄦ懇鎿﹀姏鍜岄噸鍔涙部鏂滈潰鍚戜笅鐨勫垎鍔涳紝鐢辩墰椤跨浜屽畾寰嬪緱mgSin0-umgCos0=ma锛屽甫鍏ユ暟鎹緱a=3.6m/s2.锛2锛夌敱杩愬姩瀛﹀叕寮2as=vt2-v02寰梫t=鏍瑰彿2as+v02.甯﹀叆鏁版嵁銆乿t鈮7.8m/s 閭ｄ釜~~绗﹀彿涓嶄細鎵搤浣...
绛旓細a1路t锛漹2绉掓湯 鈭碼1=20m/s²鈭磛5绉掓湯=100m/s 骞抽潰鍏夋粦 鈭存棤鑳介噺鎹熷け銆佹棤f 鈭磛0=v5绉掓湯=100m/s 鈭碼2=鈻硋梅t=100梅2=50m/s²鈭磛涓婅1s=50m/s
