Asteroids X, Y, and Z have equal mass of 6.0 kg each. They orbit around a planet

Question

Asteroids X, Y, and Z have equal mass of 6.0 kg each. They orbit around a planet with M = 6.20×1024 kg. The orbits are in the plane of the paper and are drawn to scale.

The three asteroids orbit in the same counterclockwise direction.

 greater than less than equal to  The

angular velocity of Y at r is .... that of X at r. 
 greater than less than equal to  The angular momentum of X is .... that of Y. 
 greater than less than equal to  The period of Z is .... that of Y. 
 greater than less than equal to  The angular velocity of Y at c is .... that at r. 
 greater than less than equal to  The period of X is .... that of Y. 
 greater than less than equal to  The angular momentum of Z at n is .... that at v. 
 greater than less than equal to  The angular velocity of X at n is .... that at r. 

Explanation / Answer

1)Angular velocity of Y is less becaue a component of gravitational force is responsible for its centripetal acceleration mw^2r

2)more because angular velocity is more

3)more because its angular velocity is less than x

4)less than that at r, because equal area is swept in equal time

5)less than that of y

6) same as...because angular momentum is constant

7)same, because it is in circular motion

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