题目内容
如图所示,沿着倾角为37°的足够长的斜面AB,使质量为m=1kg的物体以速度v0=10m/s的速度由底端A向上滑动,到达最高点B;空气阻力不计,物体与斜面间的动摩擦因数为μ=0.25,取g=10m/s2,sin37°=0.6,cos37°=0.8求:
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(1)AB间距s为多少?
(2)物体返回A点时的速度v多大?
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(1)AB间距s为多少?
(2)物体返回A点时的速度v多大?
(1)6.25m (2) 5
m/s
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试题分析:(1)物体沿斜面向上滑行过程受力如图
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从A滑到B的过程中,只有重力和摩擦力做功,有动能定理得:
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带入计算得
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(2)物体从A点滑到B点再返回A点的过程,只有摩擦力做功,A到B摩擦力沿斜面向下做负功,,B到A摩擦力沿斜面向上做负功由动能定理:
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解得
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