Question

Write the mathematical equation for Newton's law of gravitation.

Answer 1

The mathematical equation for Newton's law of gravitation

1. Gravitational force is directly proportional to the mass of first body

$F_G\alpha M$ eq …..(1)

2. Gravitational force is directly proportional to the mass of second body

$F_G\alpha m$ eq …..(2)

3. Gravitational force is inversely proportional to the square of the distance between them.

$F_G\alpha \frac{1}{r^2}$ eq …..(3)

By combing eq…1,2 and 3, we get

$F_G\alpha \frac{Mm}{r^2}$

$F_G=G\frac{Mm}{r^2}$, Here G is universal gravitational constant

Here, $F_G$= Gravtational Force

M = Mass of first bofy

m = mass of second body

r = Distance between center of two bodies