如图所示,在竖直平面内,粗糙水平面PQ左侧与四分之一光滑圆弧轨道在P点相切,右侧与水平面成θ = 30°的足够长传送带在Q点平滑连接。水平面PQ长L = 1.0m,圆弧半径R = 0.95m,皮带轮逆时针转动速率v = 3.0m/s。物块B停在Q点,现从光滑圆弧最高点将物块A由静止释放,经过P点运动到Q点,与B发生弹性碰撞。之后,A、B又发生多次弹性碰撞,最终A停在某一位置。A与B的碰撞时间忽略不计,两物块都可视为质点,其质量m
A = m
B = 1.0kg,物块A与PQ间动摩擦因数μ
1 = 0.15,物块B与传送带间的动摩擦因数
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmsub%3E%3Cmrow%3E%3Cmtext%3E%CE%BC%3C%2Fmtext%3E%3C%2Fmrow%3E%3Cmrow%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsub%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmfrac%3E%3Cmrow%3E%3Cmsqrt%3E%3Cmrow%3E%3Cmn%3E3%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsqrt%3E%3C%2Fmrow%3E%3Cmrow%3E%3Cmn%3E3%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmfrac%3E%3C%2Fmath%3E)
, 取g = 10m/s
2。求:
![](http://tikupic.21cnjy.com/2022/03/07/97/51/975100abe8d48c15f6e5f198d9792cd7_657x213.png)