Question

Determine the force of gravitational attraction between the Earth and the moon. Their masses are 5.98 x 1024 kg and 7.26 x 1022 kg, respectively

Answer 1

`F=1.95* 10^(20)\ N`

Step-by-step explanation:

Mass of Earth,
`m_e=5.98 * 10^(24)\ kg`

Mass of Moon,
`m_m=7.26* 10^(22)\ kg`

The distance between Earth and the Moon is,
`d=384,400\ km`

We need to find the force of gravitational attraction between the Earth and the moon. The force of gravity is given by :

`F=G(m_em_m)/(r^2)\\\\F=6.67* 10^(-11)* (5.98 * 10^(24)* 7.26* 10^(22))/((384400 * 10^3)^2)\\\\F=1.95* 10^(20)\ N`

So, the required force is
`1.95* 10^(20)\ N`.