光滑水平面上有质量为m的A和B两个物体,B上装有一轻质弹簧,B原来静止

光滑水平面上有质量为m的A和B两个物体,B上装有一轻质弹簧,B原来静止，A以速度v正对着B滑行，当弹簧压缩到最时，B物体的速度是多少？此时弹簧弹性势能为多少？

用动量守恒和能量守恒定律解题。
当弹簧压缩到最短时，A、B速度相等mv=2mv'，v'=v/2
此时，弹性势能等于A、B系统动能的减少量
后面表达式不会输入，就不写了，不好意思！

（1）弹簧压缩最大时，a、b速度相等，设为v1，a、b压缩弹簧过程中，系统动量守恒 mv=2mv1 求得  v1 = v 2  方向与原速度原方向相同． （2）a、b压缩弹簧过程中系统机械能守恒，设压缩最大时弹簧弹性势能为ep，有 1 2 mv2= 1 2 ×2mv12+ep 得     ep= 1 4 mv2 答：（1）b物体速度大小为 v 2 （2）弹簧的最大弹性势能为 1 4 mv2

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