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Part 1. Asteroids X, Y, and Z have equal mass of 6.0 kg each. They orbit around

ID: 1866099 • Letter: P

Question

Part 1. Asteroids X, Y, and Z have equal mass of 6.0 kg each. They orbit around a planet with M = 3.20×1024 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 i is .... that of X at i.
greater than less than equal to  The angular momentum of X at e is .... that at s.
greater than less than equal to  The angular velocity of X at i is .... that at e.
greater than less than equal to  The angular momentum of X is .... that of Y.
greater than less than equal to  The angular velocity of Y at i is .... that at c.
greater than less than equal to  The period of Z is .... that of X.
greater than less than equal to  The period of Y is .... that of X

Part B

Asteroids X, Y, and Z have equal mass of 5.0 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.

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

Explanation / Answer

Part B : Asteroids X, Y and Z have equal mass of 5 kg each. They orbit around a planet with M = 7.20 x 1024 kg. The orbits are in a 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.

(i) The KE of Z at m is Equal to that at s.

(ii) The PE of X at m is Greater than the PE of Z at s.

(iii) The TE of Y is Less than the TE of X.

(Because, it's semi-major axis is smaller)

(iv) The TE of Y is Equal to the TE of Z.

(Since, their semi-major axis are approximately equal)

(v) The PE of X at m is Less than that at a.

(vi) The PE of X at u is Greater than the PE of Y at s.

(Because, u is farther out than s)

(vii) The speed of X at u is Equal to that at m.

(viii) The PE of Y at s is Less than the PE of Z at s.