Question

develop an equation with a proportionality constant that describes the relationship between the gravitational force the mass of the moon the mass of the plant and the distance of separation between the planet and the moon then support the claim

Answer 1

Let the mass of planet and moon be Mp and Mn respectively.
And the distance between them is "r"

Then according to Newton's law of gravitation,

The force with which the planet and the moon attract esch other is
1) directly proportional to the product of their masses i.e. Mp * Mn

2) inversly proportional to the square of the distance between them i.e r ^2

Therefore,F =. G (Mp* Mn)/r^2
Where,G is gravitational constant