Question

Prove Newton's law of gravitation.

Answer 1

It states that every particle attracts every other particle in the universe with a force which is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.

Answer 2

Newton's Law of Gravitation :-

The law states that everybody in the universe attract every other objects with the force which is directly proportional to the product of the masses and inversely proportional to the square of the distance between their centres. The force acts along the line joining the centres of the two bodies.

consider two bodies of masses M1 and M2 separated by distance R between their centres as shown in figure. According to Newton's law of gravitation

F ~ M1 × M2

F ~ 1/(R^2)

Then,

F = G × M1 × M2 /(R^2) ,

which is the gravitational force acting between two objects. 'G' is a constant of proportionality called universal gravitational constant. It's value is 6.67 × 10^(-11) Nm^(2) kg^(-2)