Apentix/AP Physics 1/Unit 3: Circular Motion and Gravitation/Question
AP Physics 1mediummcq1 pt

Two satellites, Satellite A and Satellite B, orbit Earth in circular orbits. Satellite A has an orbital radius of r, while Satellite B has an orbital radius of 4r. What is the ratio of the orbital speed of Satellite A to Satellite B?

A.C) 2:1
B.D) 4:1
C.B) 1:2
D.A) 1:1

Explanation

Core Concept

The orbital speed of a satellite is given by v = √(GM/r), where G is the gravitational constant, M is the mass of Earth, and r is the orbital radius. Therefore, v_A/v_B = √(GM/r) / √(GM/4r) = √(4r/r) = √4 = 2. So the ratio is 2:1, meaning Satellite B's speed is half of Satellite A's speed.

Correct Answer

CB) 1:2

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