题目内容
已知某星球半径为R,若宇航员随登陆舱登陆该星球后,在此星球表面某处以速度v0竖直向上抛出一个小球,小球能上升的最大高度为H,则(不考虑该星球自转的影响)。
(1)试求此星球表面的重力加速度
(2)若在登陆前,宇宙飞船绕该星球做匀速圆周运动,运行轨道距离星球表面高度为h,求卫星的运行周期T。
(1)试求此星球表面的重力加速度
(2)若在登陆前,宇宙飞船绕该星球做匀速圆周运动,运行轨道距离星球表面高度为h,求卫星的运行周期T。
(1)
(2)![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241343439081202.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824134343877637.png)
(2)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241343439081202.png)
(1)在星球表面,抛出小球后做竖直上抛运动,![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824134345281634.png)
(2)由黄金代换
,周期公式
,r=R+h,得周期为![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241343439081202.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824134345281634.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824134343877637.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824134345421679.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824134345452939.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241343439081202.png)
![](http://thumb2018.1010pic.com/images/loading.gif)
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