3.
如图所示,在一粗糙水平平台最左端固定一弹簧动力装置,可以将物体瞬间弹开,此时储存的弹性势能为
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmsub%3E%3Cmi%3EE%3C%2Fmi%3E%3Cmtext%3Ep%3C%2Fmtext%3E%3C%2Fmsub%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmn%3E30%3C%2Fmn%3E%3Cmtext%3EJ%3C%2Fmtext%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
, 动力装置的右端有一滑块A,质量m=3kg,滑块与平台间的动摩擦因数为
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmsub%3E%3Cmi%3E%CE%BC%3C%2Fmi%3E%3Cmn%3E1%3C%2Fmn%3E%3C%2Fmsub%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmn%3E0.20%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
, 滑块A到平台右侧边缘长度为s=1m。平台右侧有一质量M=1kg的“L”型长木板B,长木板B上表面光滑,下表面与地面的动摩擦因数为
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmsub%3E%3Cmi%3E%CE%BC%3C%2Fmi%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmsub%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmn%3E0.20%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
。长木板B右端有一点O,O点右侧空间中有一水平向右的匀强电场,电场强度为E=8N/C,滑块A带正电,电荷量为3C,长木板B不带电,O点右侧有一凸起P,OP距离为12m。一段时间后长木板B右端到O点时速度为0,此前A、B仅发生了一次碰撞。已知所有碰撞无能量损失,A可视为质点,整个运动过程中A电荷量不变,A未脱离B,最大静摩擦力等于滑动摩擦力,重力加速度
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmi%3Eg%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmn%3E10%3C%2Fmn%3E%3Cmsup%3E%3Cmrow%3E%3Cmtext%3Em%2Fs%3C%2Fmtext%3E%3C%2Fmrow%3E%3Cmtext%3E2%3C%2Fmtext%3E%3C%2Fmsup%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
。求:
![](http://tikupic.21cnjy.com/ct20241o/4e/e3/4ee347cc3c8c8da9c2d177142c094091.png)