题目内容
(10分)质量为M的楔形物块上有圆弧轨道,静止在水平面上。质量为m的小球以速度v1向物块运动。不计一切摩擦,圆弧小于90°且足够长。求小球能上升到的最大高度H和物块的最终速度v。![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241219241481404.jpg)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241219241481404.jpg)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824121924164708.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824121924179562.gif)
(1)小球上升到最高点,速度相等
由水平系统动量守恒得:![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824121924195586.gif)
由系统机械能守恒得:
解得![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824121924164708.gif)
——————————————5分
(2)全过程系统水平动量守恒:![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824121924242529.gif)
由系统机械能守恒得:![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824121924257759.gif)
解得
————————————————————5分
由水平系统动量守恒得:
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824121924195586.gif)
由系统机械能守恒得:
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824121924211821.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824121924164708.gif)
——————————————5分
(2)全过程系统水平动量守恒:
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824121924242529.gif)
由系统机械能守恒得:
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824121924257759.gif)
解得
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824121924179562.gif)
![](http://thumb2018.1010pic.com/images/loading.gif)
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