Explain whether the acceleration of the moon is higher than, less or equal to that on the earth

If we know that , then acceleration of the Moon is less to that on the Earth.

Explanation:

From Newton's Law of Gravitation we know that gravitational force between Earth and Moon (), measured in newtons, is expressed by this formula:

(1)

Where:

- Gravitational constant, measured in cubic meters per kilogram-square second.

- Mass of the Earth, measured in kilograms.

- Mass of the Moon, measured in kilograms.

- Distance between centers, measured in meters.

By comparing (1) with definition of Weight, we see that gravitational acceleration experimented by Earth (), measured in meters per square second, is:

(2)

If we know that , then acceleration of the Moon is less to that on the Earth.