题目内容
两个质量分别为
、
的小滑块A、B和一根轻质短弹簧,弹簧的一端与小滑块A粘连,另一端与小滑块B接触而不粘连.现使小滑块A和B之间夹着被压缩的轻质弹簧,处于锁定状态,一起以速度
在水平面上做匀速直线运动,如题8图所示.一段时间后,突然解除锁定(解除锁定没有机械能损失),两滑块仍沿水平面做直线运动,两滑块在水平面分离后,小滑块B冲上斜面的高度为
.斜面倾角
,小滑块与斜面间的动摩擦因数为
,水平面与斜面圆滑连接.重力加速度
取
.求:(提示:
,
)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250029239869164.png)
(1)A、B滑块分离时,B滑块的速度大小.
(2)解除锁定前弹簧的弹性势能.
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825002923815674.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825002923830649.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825002923846614.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825002923861544.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825002923861478.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825002923877486.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825002923908273.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825002923924571.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825002923939649.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825002923955655.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250029239869164.png)
(1)A、B滑块分离时,B滑块的速度大小.
(2)解除锁定前弹簧的弹性势能.
(1)
(2)![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825002924033595.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825002924017634.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825002924033595.png)
试题分析:(1)设分离时A、B的速度分别为
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825002924049352.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825002924064351.png)
小滑块B冲上斜面轨道过程中,由动能定理有:
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250029241111371.png)
代入已知数据解得:
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825002924017634.png)
(2)由动量守恒定律得:
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825002924142866.png)
解得:
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825002924158626.png)
由能量守恒得:
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250029241731373.png)
解得:
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825002924033595.png)
![](http://thumb2018.1010pic.com/images/loading.gif)
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