如图所示,是小型建筑工地上使用的罐笼式提升机,用它能把建筑材料从低处提升到高处.如果罐笼A(包括动 (2014?工业园区模拟)如图所示,是小型建筑工地使用的罐笼...

\u5982\u56fe\u6240\u793a\uff0c\u662f\u5c0f\u578b\u5efa\u7b51\u5de5\u5730\u4f7f\u7528\u7684\u7f50\u7b3c\u5f0f\u63d0\u5347\u673a\uff0c\u7528\u5b83\u628a\u5efa\u7b51\u6750\u6599\u4ece\u4f4e\u5904\u63d0\u5347\u5230\u9ad8\u5904\uff0e\u5982\u7f50\u7b3cA\uff08\u5305\u62ec\u52a8\u6ed1\u8f6e\uff09

\uff081\uff09G=\uff08m A +m \u6750\u6599 \uff09g=\uff08150kg+250kg\uff09\u00d710N/kg=4000N\uff0c\u2234\u94a2\u4e1d\u7ef3\u7684\u62c9\u529bF= 1 2 G=2000N\uff1b\uff082\uff09\u62c9\u529b\u79fb\u52a8\u7684\u8ddd\u79bb\u4e3a\uff1as=2h=2\u00d710m=20m\uff0c\u62c9\u529b\u505a\u7684\u529f\uff1aW=Fs=2000N\u00d720m=40000J=4\u00d710 4 J\uff1b\uff083\uff09\u62c9\u529b\u505a\u7684\u529f\u5c31\u662f\u603b\u529f\uff1aW \u603b =4\u00d710 4 J\uff0c\u6750\u6599\u5347\u9ad810m\u505a\u7684\u529f\u662f\u6709\u7528\u529f\uff1aG \u6750\u6599 =m \u6750\u6599 g=250kg\u00d710N/kg=2500N\uff0c\u6709\u7528\u529f\uff1aW \u6709\u7528 =G \u6750\u6599 h=2500N\u00d710m=2.5\u00d710 4 J\uff0c\u5219\u673a\u68b0\u6548\u7387\u4e3a\uff1a\u03b7= W \u6709\u7528 W \u603b \u00d7100%= 2.5\u00d7 10 4 J 4\u00d7 10 4 J \u00d7100%=62.5%\uff0e\u7b54\uff1a\uff081\uff09\u94a2\u4e1d\u7ef3\u7684\u62c9\u529b2000N\uff1b\uff082\uff09\u6bcf\u63d0\u53471\u6b21\u5efa\u7b51\u6750\u6599\u62c9\u529bF\u505a\u7684\u529f4\u00d710 4 J\uff1b\uff083\uff09\u8be5\u63d0\u5347\u673a\u7684\u673a\u68b0\u6548\u738762.5%\uff0e

\uff081\uff09G=\uff08mA+m\u6750\u6599\uff09g=\uff08150kg+250kg\uff09\u00d710N/kg=4000N\uff0c\u2234\u94a2\u4e1d\u7ef3\u7684\u62c9\u529bF=12G=2000N\uff1b\uff082\uff09\u62c9\u529b\u79fb\u52a8\u7684\u8ddd\u79bb\u4e3a\uff1as=2h=2\u00d710m=20m\uff0c\u62c9\u529b\u505a\u7684\u529f\uff1aW=Fs=2000N\u00d720m=40000J=4\u00d7104J\uff1b\uff083\uff09\u62c9\u529b\u505a\u7684\u529f\u5c31\u662f\u603b\u529f\uff1aW\u603b=4\u00d7104J\uff0c\u6750\u6599\u5347\u9ad810m\u505a\u7684\u529f\u662f\u6709\u7528\u529f\uff1aG\u6750\u6599=m\u6750\u6599g=250kg\u00d710N/kg=2500N\uff0c\u6709\u7528\u529f\uff1aW\u6709\u7528=G\u6750\u6599h=2500N\u00d710m=2.5\u00d7104J\uff0c\u5219\u673a\u68b0\u6548\u7387\u4e3a\uff1a\u03b7=W\u6709\u7528W\u603b\u00d7100%=2.5\u00d7104J4\u00d7104J\u00d7100%=62.5%\uff0e\u7b54\uff1a\uff081\uff09\u94a2\u4e1d\u7ef3\u7684\u62c9\u529b2000N\uff1b\uff082\uff09\u6bcf\u63d0\u53471\u6b21\u5efa\u7b51\u6750\u6599\u62c9\u529bF\u505a\u7684\u529f4\u00d7104J\uff1b\uff083\uff09\u8be5\u63d0\u5347\u673a\u7684\u673a\u68b0\u6548\u738762.5%\uff0e

(1)拉力移动的距离:s=2h=2×10m=20m;
拉钢绳的速度:v=
s
t
=
20m
20s
=1m/s;
(2)G=(mA+m材料)g=(150kg+250kg)×10N/kg=4000N,所以钢丝绳的拉力F=
1
2
G=2000N;
(3)拉力做的功:W=Fs=2000N×20m=40000J=4×104J;
(4)拉力做的功就是总功:W=4×104J,
材料升高10m做的功是有用功:G材料=m材料g=250kg×10N/kg=2500N,
有用功:W有用=G材料h=2500N×10m=2.5×104J,
则机械效率为:η=
W
W
×100%=
2.5×104J
4×104J
×100%=62.5%.
答:(1)拉钢绳的速度为1m/s;
(2)钢丝绳的拉力为2000N;
(3)每提升1次建筑材料拉力F做的功为4×104J;
(4)该提升机的机械效率62.5%.

F=½G=½(150kg+250kg)×10N/kg=2000N

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