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

Answer:

$F=1.95\times 10^{20}\ N$

Explanation:

Mass of Earth, $m_e=5.98 \times 10^{24}\ kg$

Mass of Moon, $m_m=7.26\times 10^{22}\ kg$

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 :

$F=G\dfrac{m_em_m}{r^2}\\\\F=6.67\times 10^{-11}\times \dfrac{5.98 \times 10^{24}\times 7.26\times 10^{22}}{(384400 \times 10^3)^2}\\\\F=1.95\times 10^{20}\ N$

So, the required force is $1.95\times 10^{20}\ N$.