Question

What gravitational force does the moon produce

on the Earth is their centers are 3.88x108 m apart
and the moon has a mass of 7.34x1022 kg?

Answer 1

`F = 1.94 * 10^(20) N`

Step-by-step explanation:

Mass of earth ;
`M = 5.973 * 10^(24) kg`

Mass of moon ;
`m = 7.34 * 10^(22)kg`

distance between them is ;
`d = 3.88 * 10^(8)m`

Gravitational constant is given by

`G = 6.67 * 10^(-11) m^(3)kg^(-1)s^(-2)`

So , the gravitational force between them is

`F = (GMm)/(d^(2))`

Insert the values

`F = (6.67 * 10^(-11) * 5.973 * 10^(24) * 7.34 * 10^(22))/((3.88 * 10^(8))^(2)) N`

So,

`F = 1.94 * 10^(20) N`

Thus , the force between earth and moon is
`F = 1.94 * 10^(20) N`