Physics

Janiya Cowan

11 November, 07:02

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 for each question.