Asteroids X Y and Z have equal mass of 30 kg each They orbit

Asteroids X, Y, and Z have equal mass of 3.0 kg each. They orbit around a planet with M = 4.20×1024 kg. The orbits are in the plane of the paper and are drawn to scale. The three asteroids orbit in the same clockwise direction. The angular momentum of Z at v is .... that at c. The angular velocity of Y at r is .... that at n. The period of Y is .... that of Z. The angular momentum of Y is .... that of X. The angular velocity of X at r is .... that of Y at r. The period of Y is .... that of X. The angular velocity of X at r is .... that at v.

Solution

The PE of Y at s is equal to the PE of X at u,

The PE of Y at m is less than that at s,

The TE of Z is greater than the TE of X,

The PE of Y at a is less than the PE of Z at u,

The PE of Z at u is equal to the PE of X at u,

The KE of X at r is equal to that at s,

The speed of Y at c is greater than that at s,

The TE of Y is greater than the TE of Z,

The angular momentum of Z at v is equal to that at c,

The angular velocity of Y at r is less than that at n,

The period of Y is less than that of Z,

The angular momentum of Y is greater than that of X,

The angular velocity of X at r is less than that of Y at r,

The period of Y is greater than that of X,

The angular velocity of X at r is equal to that at v