如图所示,a、b两物体质量相等,b上连有一轻质弹簧,且静止在光滑的水

如图所示,a、b两物体质量相等,b上连有一轻质弹簧,且静止在光滑的水平面上.当a以速度v通过弹簧与b正碰,则(    )

A.当弹簧压缩量最大时,a的动能恰好为零

B.当弹簧压缩量最大时,弹簧具有的弹性势能等于物体a碰前动能的一半

C.碰后a离开弹簧,a被弹回向左运动,b向右运动

D.碰后a离开弹簧,a、b都以

的速度向右运动

答案

B

解析:由动量守恒定律,压缩量最大时有mv=(m+m)v,v=v

由能量守恒定律

ΔE=mv2-·2m·v2=mv2

故选项B正确,由弹性碰撞规律,a、b最终互换速度,故选项A、C、D均错.

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