Asteroids X, Y, and Z have equal mass of 3.0 kg each. They orbit around a planet

Question

Asteroids X, Y, and Z have equal mass of 3.0 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.

The speed of Z at r is .... that at i

The KE of Y at u is .... that at c

The TE of Y is .... the TE of X

The PE of Z at u is .... the PE of Y at u

The TE of Z is .... the TE of X

The PE of X at c is .... the PE of Z at r

The PE of Z at m is .... that at u

The PE of X at c is .... the PE of Y at u

Explanation / Answer

1) greater, according to Kepler's 2 law

2) equal, being the orbit circular

3) cannot answer, depends upon distance from the planet

4)equal

5)cannot answer, depends upon distance from the planet

6)greater, provided c<r

7)smaller

8)smaller, provided c>u

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