题目内容
(本题12分)如图,氢气球下悬一吊篮,吊篮中有一人,静止于空中。气球、吊篮与人的总质量为M(不包括石块),当人将一质量为m的石块向上抛出,石块经t秒落回手中。求石块上抛过程中与人的最大距离。(空气阻力不计)![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241221265461516.jpg)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241221265461516.jpg)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122126562675.gif)
设石块、人最大位移分别为S1、S2
因为合外力为零,所以竖直方向平均动量守恒,人抛球位置与接球位置为同一位置,往返时间相等。
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122126764865.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122126780950.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122126796763.gif)
因为合外力为零,所以竖直方向平均动量守恒,人抛球位置与接球位置为同一位置,往返时间相等。
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122126764865.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122126780950.gif)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824122126796763.gif)
![](http://thumb2018.1010pic.com/images/loading.gif)
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