Question

A planet has two moons, Moon A and Moon B, that orbit at different distances from the planet's center, as shown. Astronomerscollect data regarding the planet, the two moons, and their obits. The astronomers are able to estimate the planet's radius and
mass.
The masses of the two moons are determined to be 2M for Moon A and M for Moon B. It is observed that the distance
between Moon B and the planet is two times that of the distance between Moon A and the planet. How does force exerted from
the planet on Moon A compare to the force exerted from the planet on Moon B?




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A) The gravitational force exerted from the planet on Moon A is two times larger than the gravitational force exerted from the planet on Moon B

B) The gravitational force exerted from the planet on Moon A is eight times larger than the gravitational force exerted from the planet on Moon B

C) The gravitational force exerted from the planet on Moon A is two times smaller than the gravitational force exerted from the planet on Moon B

D) The gravitational force exerted from the planet on Moon A is eight times smaller than the gravitational force exerted from the planet on Moon B
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Answer 1

B) The gravitational force exerted from the planet on Moon A is eight times larger than the gravitational force exerted from the planet on Moon B

Answer 2

C: The gravitational force exerted from the planet on Moon A is two times smaller than the gravitational force exerted from the planet on Moon B.