Asteroids X, Y, and Z have equal mass of 7.0 kg each. They orbit around a planet

Question

Asteroids X, Y, and Z have equal mass of 7.0 kg each. They orbit around a planet with M = 7.20E+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. The KE of Y at c is .... that at i The TE of Z is .... the TE of Y The PE of Z at r is .... the PE of X at r The TE of X is .... the TE of Z The PE of Z at i is .... the PE of Y at c The PE of X at r is .... the PE of Z at i The PE of Z at r is .... that at s The speed of X at u is .... that at m

Explanation / Answer

Solution:

The KE of Y at c is EQUAL TO that at i

The TE of Z is GREATER THAN the TE of Y.

The PE of Z at r is EQUAL TO the PE of X at r.

The TE of X is GREATER THAN TE of Z

The PE of Z at i is EQUAL TO the PE of Y at c

The PE of X at r is GREATER THAN the PE of Z at i

The PE of Z at r is GREATER THAN that at s

The speed of X at u is GREATER THAN that at m

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