Apentix/AP Physics 1/Unit 3: Circular Motion and Gravitation/Question
AP Physics 1easymcq1 pt

A planet of mass M has a moon of mass m in a circular orbit at a distance r from the planet's center. If the gravitational force between the planet and moon is F, what would be the gravitational force if the moon's distance from the planet were doubled?

A.C) 2F
B.A) F/4
C.D) 4F
D.B) F/2

Explanation

Core Concept

Newton's law of gravitation states that F = G(Mm)/r². If the distance r is doubled, the new force becomes F' = G(Mm)/(2r)² = G(Mm)/4r² = F/4. The gravitational force is inversely proportional to the square of the distance.

Correct Answer

BA) F/4

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