题目内容
某中子星的质量大约与太阳的质量相等,为2×
kg,但是它的半径才不过10km,求:(1)此中子星表面的自由落体加速度。
(2)贴近中子星表面,沿圆轨道运动的小卫星的速度。
(已知引力常量为G=6.67×
N![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824134233193593.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824134233255169.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824134233302171.png)
)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824134233099418.png)
(2)贴近中子星表面,沿圆轨道运动的小卫星的速度。
(已知引力常量为G=6.67×
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824134233146356.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824134233193593.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824134233255169.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824134233302171.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824134233349442.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824134233380512.png)
(1)1.3×1012 m/s2;(2)1.1×108 m/s。
(1)设中子星表面的自由落体加速度为g,由
解得g=1.3×1012 m/s2
(2) 贴近中子星表面,沿圆轨道运动的小卫星的速度
而
即![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241342336611513.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824134233505853.png)
(2) 贴近中子星表面,沿圆轨道运动的小卫星的速度
|
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824134233536910.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824134233505853.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241342336611513.png)
![](http://thumb2018.1010pic.com/images/loading.gif)
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