题目内容
“嫦娥一号” 的成功发射,为实现中华民族几千年的奔月梦想迈出了重要的一步。已知“嫦娥一号”绕月飞行轨道近似圆周,距月球表面的高度为H,飞行周期为T,月球的半径为R,万有引力常量为G,假设宇航员在飞船上,飞船在月球表面附近竖直平面内俯冲, 在最低点附近作半径为r的圆周运动,宇航员质量是m,飞船经过最低点时的速度是v;。求:(1)月球的质量M是多大? (2)经过最低点时,座位对宇航员的作用力F是多大?
(1)
(2)![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250022346101347.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250022345951140.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250022346101347.png)
试题分析:(1)设嫦娥一号的质量为m1,则
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250022346261426.png)
解得:
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250022345951140.png)
(2)设月球表面的重力加速度为g,则
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825002234688876.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/20140825002234766781.png)
解得:
![](http://thumb.1010pic.com/pic2/upload/papers/20140825/201408250022346101347.png)
![](http://thumb2018.1010pic.com/images/loading.gif)
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