题目内容
一颗人造卫星的质量为m,离地面的高度为h,卫星做匀速圆周运动,已知地球半径为R,地球表面的重力加速度为g,求:
小题1:卫星受到的向心力的大小;
小题2:卫星的速率;
小题3:卫星环绕地球运行的周期。
小题1:卫星受到的向心力的大小;
小题2:卫星的速率;
小题3:卫星环绕地球运行的周期。
小题1:
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824125251279865.png)
小题2:
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824125251310721.png)
小题3:2
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824125251326315.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824125251341863.png)
小题1:万有引力提供向心力,所以
,卫星受到的向心力的大小为![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241252513881219.png)
小题2:万有引力提供向心力,所以有
,解得卫星的速率![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824125251466658.png)
小题3:有引力提供向心力,所以有
,解得卫星环绕地球运行的周期![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824125251560878.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824125251372853.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241252513881219.png)
小题2:万有引力提供向心力,所以有
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241252514351387.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824125251466658.png)
小题3:有引力提供向心力,所以有
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241252515281615.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824125251560878.png)
![](http://thumb2018.1010pic.com/images/loading.gif)
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