Question

What is universal law of gravatation. Derive the formula?

Answer 1

Every partical of matter attract on every other partical of matter with a force which is directly proportional to the product of masses and square of distance between them

Answer 2

Hi mate,

Newton's law of universal gravitation states that every particle attracts every other particle in the universe with a force called gravitation force which is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.

Consider two bodies A and B of masses M and m respectively and 'd' is the distance between then centres. Let F be the force by which they mutually attract each other.

F is directly proportional to M and m

F is directly proportional to 1/d^2

By the above 2 equations,

F is directly proportional to Mx m/d^2

since G is a universal gravitational constant,

F = G x M x m/d^2

Hope this helps...