Question

proof of universal law of gravitational force

Answer 1

it's easy Ntg but it is the force directly proportional to their different product of masses m1 and m2 and the force is inversely proportional to the distance² this is given in the figure and the value of G is 6.67/10¹¹ Nm²/kg² m1 and m2 are masses and r is the distance ... mark it as brain list plz

Answer 2

Kepler's laws were formed before 1630. Newton's law came many decades later.

Kepler's law: T^2, Square of time period is proportional to cube of radius of orbit of a planet around Sun.

T = (2 pi R)/ v
So then v^2 is proportional to 1/R.
Then Newton derived by inventing calculus and differentiation, the acceleration of a planet in a circular orbit to be = v^2 /R.

So a = v^2/R is proportional to 1/R^2.
Force F is proportional to m a = m / R^2. He also postulated that the force is proportional to the mass of Sun.

So F = G m1 m2/ R^2.

The formula was experimentally found to be very closely true.