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Archy
19 hours ago
8

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. Satellit

e 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.
Physics
1 answer:
kicyunya [2.2K]19 hours ago
3 0
1) C 2) E. Upon reviewing, the explanatory text reveals that identical satellites X and Y, with mass m, orbit a planet of mass M. Satellite X is at an orbital radius of 3R, while satellite Y is at 4R. The gravitational potential energy of the X system, in terms of Kx, is determined as (A) -2Kx, (B) -Kx, (C) -Kx/2, (D) Kx/2, or (E) 2Kx. Moreover, upon moving satellite X to the same orbit as satellite Y through external work, the work done in relation to Kx is evaluated as (A) -Kx/2, (B) -Kx/4, (C) 0, (D) +Kx/4, or (E) +Kx/2. A detailed analysis of each question follows.
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