Question

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

Answer 1

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

Step-by-step explanation:

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

`F = G\cdot (M\cdot m)/(r^(2))` (1)

Where:

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

`M` - Mass of the Earth, measured in kilograms.

`m` - Mass of the Moon, measured in kilograms.

`r` - Distance between centers, measured in meters.

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

`g = (G\cdot m)/(r^(2))` (2)

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