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Physics, 05.05.2020 23:57 QueenNerdy889

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Identical satellites X and Y of mass m are in circular orbits around a planet of mass M. The radius of the planet is R. Satellite X has an orbital radius of 3R, and satellite Y has an orbital radius of 4R. The kinetic energy of satellite X is Kx.

1) In terms of Kx, the gravitational potential energy of the planet-satellite X system is

(A) -2Kx

(B) -Kx

(C) -Kx/2

(D) Kx/2

(E) 2Kx

2) Satellite x is moved to the same orbit as satellite Y by a force doing work on the satellite. In terms of Kx, the work done on satellite X by the force is

(A) -Kx/2

(B) -Kx/4

(C) 0

(D) +Kx/4

(E) +Kx/2

Show the work, please.

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