答案:
(江西省2013年)17在测“滑轮组机械效率”的实验中,瑞瑞同学在与动滑轮相切的细绳上作一标记A(如图9甲所示),然后用大小为F的拉力匀速竖直向上提升总重为G的钩码,当钩码上升的高度为H时.瑞瑞同学在与动滑轮相切的细绳上作另一标记B,并测得AB两点间的距离为2H(如图9乙所示)(不计摩擦与绳重) 求:(I)动滑轮的重力G。 (2)滑轮组的机械效率
(3)如果减少钩码的个数,滑轮组的机械效率会如何变化?
答案:17.解: (1)由图可知,n=3 F=(G1+G)/3 G1=3F-G ??(3分)
(2)滑轮组机械效率η=(W有/W总)×100%=(GH/3FH)×100%=(G/3F)×100%??(3分) (3)机械效率会降低 ???(2分)
(2013龙岩)30.(6分)武平梁野山素有天然氧吧之称,其险峻的高山、飞流的瀑布令人
叹为观止。依瀑流而建的木栈道蜿蜒至山脚,长约4km,高度差约90m,方便了人们近距离感受瀑布的磅礴气势。体重50kg的小王从栈道最高处小跑至山脚,用时30min,求这段时间小王自身重力做的功及功率约为多少?(g取10N/kg)
W?Gh
································································· 1分?mgh ·
·········································· 1分?50kg?10N/kg?90m ·
·························································· 1分 ?4.5?104J ·
P?W ··································································· 1分 t
4.5?104J ? ·························································· 1分
30?60s ?25W ································································· 1分
2013年包头市)20.如图15所示,轻质杠杆OP长1m,能绕O点转动,P端用细绳悬于N点。现有一质量为1kg的物体A通过滑环挂在M点(滑环和绳子的质量可忽略),OM的长度为0.1m,由于杆OP与水平方向成300角倾斜,滑环刚好能由M向P端匀速滑动,滑动速度为0.02m/s,细绳能承受的最大拉力为9N。(g取10N/kg)求:
⑴滑环从M点开始滑动,经过多长时间后细绳会断裂;
⑵从滑环自M点滑动到细绳PN断裂时,A所受重力做的功; ⑶上述过程中,A所受重力做功的功率。 答案:20.(10分)
解:⑴ 设经t时间后绳子会断裂,由杠杆平衡条件有:
FP?OPcos300?FA(OM?vt)cos300????????????????(2分)
FA?mg FP?OP?mg(OM?vt)???????????(2分)
t?FP?OP/mg?OM9?1/(1?10)?0.1?s?40sv0.02⑵ 重力做的功
WG?mgh?mgvtsin300?1?10?0.02?40?0.5J?4J ?????????(3分) ⑶ 重力做功的功率 P=分)
WG4?W?0.1W ????????????????????????(3t40
33、(2013年湖北省孝感市)如右图所示,已各斜面长5m,高3m,
绳端拉力为50N。利用这个滑轮装置将重为100N的物体在5s内从斜面的底端匀速拉到顶端。在此过程中: (1)物体沿斜面向上运动的速度为多少? (2)绳端移动的距离是多少? (3)拉力的功和功率各是多少?
(4)拉力的机械效率是多少?
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