题目内容
如图所示,一轻质弹簧两端连着物体A和B,放在光滑的水平面上,物体A被水平速度为
的子弹击中,子弹停在其中,已知A的质量是B的质量的
,子弹的质量是B的质量的
。求:
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241331303952841.jpg)
(1)A物体获得的最大速度的大小。
(2)弹簧压缩量最大时B物体的速度大小
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133130223325.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133130254385.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133130332303.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241331303952841.jpg)
(1)A物体获得的最大速度的大小。
(2)弹簧压缩量最大时B物体的速度大小
①
②![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133130488550.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133130426467.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133130488550.png)
子弹和A木块相撞动量守恒
mv0=(
m+
m)v1 v1=
v0
子弹和A组成的系统再和B相碰动量守恒,当弹簧压缩最短时系统各部分速度相等,
(
m+
m)v1=(m+
m+
m)v v=
v0
此过程机械能守恒动能的减少量转化为弹性势能。
Ep=
(
m+
m)v12-
(m+
m+
)v2=mv02/64
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133130519303.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133130519303.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133130254385.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133130519303.png)
子弹和A组成的系统再和B相碰动量守恒,当弹簧压缩最短时系统各部分速度相等,
(
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133130519303.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133130254385.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133130519303.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133130254385.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133130909352.png)
此过程机械能守恒动能的减少量转化为弹性势能。
Ep=
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133130941338.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133130519303.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133130254385.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133130941338.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133130519303.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133130254385.png)
![](http://thumb2018.1010pic.com/images/loading.gif)
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