Question

State universal law of gravitation and derive an expression for it ??​

Answer 1

Answer:

Newton's law of gravitation, statement that any particle of matter in the universe attracts any other with a force varying directly as the product of the masses and inversely as the square of the distance between them.

to Universal Law of Gravitation, F=GM∗m²

Newton's universal law of gravitation: Every object in the Universe attracts every other object with a definite force. ... The magnitude (F) of the gravitational force of attraction between the objects is directly proportional to m1m2 and inversely proportional to r2.

Answer 2

Answer:

the gravitational force between two object having mass is directly proportional to the product of their masses and inversely proportional to the square of distance between them

let M1 and M2 are the masses of two objects separated by a distance R

the force ,F is directly proportional to the product of their masses and inversely proportional to the square of distance between them

F∝M1*M2           (1)

F∝1/R^2              (2)

combining equations (1) and (2) we get

F∝(M1*M2)/R^2

introducing proportionality constant ,universal gravitation constant G we get

F=G*(M1*M2)/R^2