Answer:
[tex]F=1.95\times 10^{20}\ N[/tex]
Explanation:
Mass of Earth, [tex]m_e=5.98 \times 10^{24}\ kg[/tex]
Mass of Moon, [tex]m_m=7.26\times 10^{22}\ kg[/tex]
The distance between Earth and the Moon is, [tex]d=384,400\ km[/tex]
We need to find the force of gravitational attraction between the Earth and the moon. The force of gravity is given by :
[tex]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[/tex]
So, the required force is [tex]1.95\times 10^{20}\ N[/tex].
