题目内容
如右图所示,a、b、c是地球大气层外圆形轨道上运行的三颗人造地球卫星,a、b质量相同,且小于c的质量,则( )
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241350277611847.jpg)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241350277611847.jpg)
A.b所需向心力最大; |
B.b、c周期相等,且小于a的周期. |
C.b、c向心加速度相等,且大于a的向心加速度; |
D.b、c的线速度大小相等,且小于a的线速度. |
D
由向心力
,
,![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824135027886590.png)
所以
所以A错误;
由
得:
(M为地球质量)
因为
则
所以B错误;
由
得
,则
于是C错误;
,则
,
,所以
于是D正确。
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824135027777834.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824135027839508.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824135027886590.png)
所以
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824135028214646.png)
由
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241350282611142.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824135028292981.png)
因为
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824135027839508.png)
则
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824135028385576.png)
由
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824135028417848.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824135028510735.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824135028557562.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824135028604902.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824135028651742.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824135027839508.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824135028744557.png)
![](http://thumb2018.1010pic.com/images/loading.gif)
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