题目内容
已知万有引力常量G,要计算地球的质量还需要知道某些数据,现在给出下列各组数据,可以计算出地球质量的是( )
A.地球公转的周期及半径 |
B.月球绕地球运行的周期和运行的半径 |
C.人造卫星绕地球运行的周期和速率 |
D.地球半径和同步卫星离地面的高度 |
BCD
知地球公转的周期及半径,可求太阳的质量,A错;由
得
,B对,同步卫星的周期为隐含条件T=24h,D对;由
,
联立得
,
,C对;
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241336074041132.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133607435943.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133607591956.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241336076541350.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824133607716848.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241336077631109.png)
![](http://thumb2018.1010pic.com/images/loading.gif)
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