题目内容
(9分)如图所示,质量M="2" kg的小车静一止在光滑的水平面上,车面上AB段是长L="1" m的光滑水平平面,与AB相切的BC部分是半径为R=0.3 m的光滑
圆弧轨道,今有一质量m=1kg的小金属块以水平初速度v0从A端冲上AB面,恰能上升到
圆弧轨道的最高点C,求初速度v0的大小。(取g="1" 0m/s2)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250019501395918.jpg)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825001950108303.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825001950108303.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250019501395918.jpg)
3m/s
试题分析:当m达最高点时,m和M速度相同,设速度为v,对m和M组成的系统,有水平方向动量守恒:
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825001950155794.png)
解得:
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825001950217515.png)
由m和M组成的系统机械能守恒得:
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250019502331243.png)
联立解得
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825001950311571.png)
![](http://thumb2018.1010pic.com/images/loading.gif)
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