Asteroids X, Y, and Z have equal mass of 9.0 kg each. They orbit around a planet

Question

Asteroids X, Y, and Z have equal mass of 9.0 kg each. They orbit around a planet with M=3.20E+24 kg. The orbits are in the plane of the paper and are drawn to scale

In the statements below, TE is the total mechanical energy, KE is the kinetic energy, and PE is the potential energy.

(Less than, greater than, or equal to)
The PE of X at c is .... the PE of Z at c
The PE of X at c is .... the PE of Y at u
The TE of X is .... the TE of Y
The TE of X is .... the TE of Z
The KE of Z at c is .... that at a
The PE of Y at a is .... the PE of Z at c
The PE of X at s is .... that at u
The speed of Y at m is .... that at i

Explanation / Answer

The PE of X at c is ..equal.. the PE of Z at c
The PE of X at c is ..less than.. the PE of Y at u
The TE of X is ..less than.. the TE of Y
The TE of X is ..greater than.. the TE of Z
The KE of Z at c is ..equal.. that at a
The PE of Y at a is ..equal.. the PE of Z at c
The PE of X at s is ..less than.. that at u
The speed of Y at m is .greater than... that at i

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