We are asked to determine the gravitational force between the moon and the earth, to do that we will use the following formula:
![F=G(m_1m_2)/(r^2)](https://img.qammunity.org/2023/formulas/physics/college/m3uzemidutwgas8h71nrganfosw2axhus2.png)
Where "G" is the gravitational constant and is equivalent to:
![G=6.67*10^(-11)\frac{Nm^2}{\operatorname{kg}^2}]()
"m" is the mass and "r" is the distance between the centers. Replacing the values we get:
![F=(6.67*10^(-11)\frac{Nm^2}{\operatorname{kg}^2})(\frac{(7.35*10^(22)\operatorname{kg})(6*10^(24)kg)}{(3.85*10^8m)^2})]()
Solving the operations we get:
![F=1.98*10^(20)N](https://img.qammunity.org/2023/formulas/physics/college/fggmfv5sjme8ortpcv5hzlwey5p6sffdwh.png)