如图1-6-3所示,在光滑水平面上有质量为M=3 kg的薄木板和质量为m=1 kg

如图1-6-3所示,在光滑水平面上有质量为M=3 kg的薄木板和质量为m=1 kg的物块都以v=4 m/s的初速度向相反方向运动,它们间有摩擦,薄木板足够长.当薄木板的速度为2.4 m/s时,物块的运动情况是(    )

图1-6-3

A.做加速运动                         B.做减速运动

C.做匀速运动                         D.无法判定

答案

解析:M、m系统动量守恒,有Mv-mv=(μ+m)v′,v′=2 m/s.即两物体最终以相同的2 m/s的速度向右运动,所以m的运动是先向左减速,后向右加速,当薄木板M的速度为2.4 m/s时,有Mv-mv=2.4M+mv″  v″=0.8 m/s,即m的速度为向右的0.8 m/s,故此时m做加速运动.

答案:A


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