What is the gravitational force between the Earth and the Moon, given their respective masses and the distance between them?

To find the gravitational force between two objects, you can use Newton's law of universal gravitation, which states that the force ( F ) between two masses ( m_1 ) and ( m_2 ) is given by the formula:

[

F = G \frac{{m_1 m_2}}{{r^2}}

]

Where:

• ( G ) is the gravitational constant, approximately ( 6.674 \times 10^{-11} , \text{N m}^2/\text{kg}^2 ),

• ( m_1 ) is the mass of the first object (in this case, the Earth),

• ( m_2 ) is the mass of the second object (the Moon),

• ( r ) is the distance between the centers of the two objects.

The Earth has a mass of approximately ( 5.97 \times 10^{24} , \text{kg} ) and the Moon has a mass of about ( 7.35 \times 10^{22} , \text{kg} ). The average distance from the Earth to the Moon is approximately ( 3.84 \times 10^