User:Bimala Regmi

Newton's universal law of gravitation

According to Newton's law of gravitation, " Every object in the universe attracts every other object with certain force which is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers ". The direction of the force is along the line joining the centers of the two bodies.

DERIVATION OF THE FORMULA F=m1*m2 /d^2 Suppose two object A and B of masses m1and m2 are laying at a distance 'd' From each other. Let the force of attraction between these two object be 'F'. NOW ,ACCORDING TO NETWON'S LAW OF GRAVITATION , THE force between two objects is directly proportional to the product of their masses That is , F directly proportional to m1*m2 ................ [1]

THE Force between  two objects is  inversely proportional to the square of the  distance Between them from ,their centers. That is , F inversely proportional to 1/d^2 ....................[2]

COMBINING [1] and [2], we get F=Gm1*m2/d^2 Where, G is a constant called "Newton 's universal gravitation constant ". GRAVITATION FORCE, F =G m1*m2/d^2 proved The value of gravitation constant 'G'doesn't depend on the the medium between two bodies. It also does not depend on the masses of the bodies or the distance between them. The above formula gives the force of attraction 'F' between two bodies of masses m1and m2which are at a distance 'd' from one another. This formula is applicable anywhere in this universe, and it is a mathematical expression of Newton's law of gravitation. Since the gravitation force between them , therefore ,if we double the distance between two bodies, the gravitation force becomes one fourth and if we have the distance between two bodies, then gravitation force becomes four times (F is inversely 1/d^2).