题目内容
两质量分别为M1和M2的劈A和B,高度相同,放在光滑水平面上,A和B的倾斜面都是光滑曲面,曲面下端与水平面相切,如图所示,一质量为m的物块位于劈A的倾斜面上,距水平面的高度为h。物块从静止滑下,然后又滑上劈B。求物块在B上能够达到的最大高度。![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241214563891055.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241214563891055.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241214564051229.png)
设物块到达劈A的低端时,物块和A的的速度大小分别为
和V,由机械能守恒和动量守恒得
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241214563891055.png)
①
②
设物块在劈B上达到的最大高度为
,此时物块和B的共同速度大小为
,由机械能守恒和动量守恒得
③
④
联立①②③④式得
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241214564051229.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824121456452264.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241214563891055.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241214565301133.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824121456576684.png)
设物块在劈B上达到的最大高度为
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824121456592336.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824121456623345.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241214566391299.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824121456686851.png)
联立①②③④式得
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241214564051229.png)
![](http://thumb2018.1010pic.com/images/loading.gif)
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