Question

derivation of universal law of gravitation

Answer 1

f∝1/r²

f∝m1*m2/r²

f=g*m1*m2/r²

derivation of newtons law of gravity

Answer 2

ACCORDING TO NEWTON'S LAW OF GRAVITATION -
EVERY TWO OBJECTS OF THIS UNIVERSE ATTRACT EACH OTHER WITH A FORCE. THIS FORCE IS DIRECTLY PROPORTIONAL TO THE MASSES OF THE BODIES AND INVERSLY PROPORTIONAL TO THE SQUARE ROOT OF THE DISTANCE BETWEEN THEM.
......
LET M1 AND M2 BE THE MASSES OF TWO OBJECTS WHICH ARE SEPARATED FROM " R " DISTANCE. SUPPOSE "F" BE THE ATTRACTION FORCE BETWEEN THE TWO BODIES .
......... BY NEWTON'S LAW OF GRAVITATION -
F. is directly proportional to m1 × m2 ......1
F is directly proportional to 1/ r^2......2

BY COMBINING EQUATIONS 1 AND 2 WE GET,
F IS DIRECTLY PROPORTIONAL TO M1 M2 / R^2
SO,
F. = G M1. M2 / R^2
HENCE THE UNIVERSAL LAW OF GRAVITATION IS PROVED...