Question

Calculate the gravitatiional force between a 1 kg mass on the earth and the moon (mass = 7.4 x 10^22 kg) The distance between the two bodies is 3.8 x 10^5 km. Show all your work.

Answer 1

Step-by-step explanation:

Given that,

The mass of an object, m = 1 kg

The mass of Earth,
`m_e=6* 10^(22)\ kg`

The mass of Moon,
`m_m=7.4* 10^(22)\ kg`

The distance between the two bodies,
`d=3.8* 10^5\ km =3.8* 10^8\ m`

The gravitational force between the object and the earth,

`F=(Gmm_e)/(d^2)\\\\=(6.67* 10^(-11)* 1* 6* 10^(22))/((3.8* 10^8)^2)\\\\=2.77* 10^(-5)\ N`

The gravitational force between the object and the Moon,

`F=(Gmm_m)/(d^2)\\\\=(6.67* 10^(-11)* 1* 7.4* 10^(22))/((3.8* 10^8)^2)\\\\=3.41* 10^(-5)\ N`

Hence, this is the required solution.