题目内容
宇航员站在某星球表面,从高h处以初速度v0水平抛出一个小球,小球落到星球表面时,与抛出点的水平距离是x,已知该星球的半径为R,引力常量为G,求
(1)该星球的质量M。
(2)该星球的第一宇宙速度。
(1)该星球的质量M。
(2)该星球的第一宇宙速度。
(1)
;(2)![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825004427930798.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825004427914978.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825004427930798.png)
试题分析:(1)设星球表面的重力加速度为g,则平抛运动规律:
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825004427961652.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825004427961482.png)
再由
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825004427977882.png)
解得
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825004427914978.png)
(2)设该星球的近地卫星为m0,
则 m0g=m0
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825004428008456.png)
解得,
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825004427930798.png)
![](http://thumb2018.1010pic.com/images/loading.gif)
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