The acceleration due to gravity near the surface of the Moon is about one-sixth of the value near the Earth's surface. If a rock were dropped from equal heights on the Moon and Earth, the time it would take the rock from the Moon to hit the ground would be
A) six times longer than on Earth.
B) the square root of six times longer than on Earth.
C) the same time as on Earth.
D) the square root of six times shorter than on Earth.
E) six times shorter than on Earth.

Question

Quizplus · Accepted Answer

The time taken for an object to fall under gravity is proportional to the square root of the inverse of the acceleration due to gravity. Since the Moon's gravity is one-sixth that of Earth's, the time taken on the Moon would be the square root of six times longer than on Earth.

The Acceleration Due to Gravity near the Surface of the Moon