We are asked to determine the gravitational force between the moon and the earth, to do that we will use the following formula:
[tex]F=G\frac{m_1m_2}{r^2}[/tex]Where "G" is the gravitational constant and is equivalent to:
[tex]G=6.67\times10^{-11}\frac{Nm^2}{\operatorname{kg}^2}[/tex]"m" is the mass and "r" is the distance between the centers. Replacing the values we get:
[tex]F=(6.67\times10^{-11}\frac{Nm^2}{\operatorname{kg}^2})(\frac{(7.35\times10^{22}\operatorname{kg})(6\times10^{24}kg)}{(3.85\times10^8m)^2})[/tex]Solving the operations we get:
[tex]F=1.98\times10^{20}N[/tex]