what is the universal law of gravitation and its derivation
Answers
The Law of Universal Gravitation states that every object of mass in the Universe attracts every other object of mass with a force which is directly proportional to the product of their masses and inversely proportional to the square of the separation between their centers.
This law is applicable only if the following Conditions are met..
1 - Two Bodies having Mass
2 - There must be Some Distance between them
According to Universal Gravitional Law :
(i)The Gravitional force Between two bodies having mass m1 and m2 directly depends on the product of their masses and
(ii) Inversely Proportional to the Square of distance between them...
F = Gravitional force
m1 and m2 are the masses of bodies
r = Distance between the bodies having masses m1 and m2...
Now from statement (i) and (ii) we must have
F = G m1 x m2 / r^2 ----(iii) where G is the constant of proportionality..called Universal gravitional Constant.....
According to relation (iii)..if mass of the body increases then F will increase too...and decreases if the distance between them increases...
Universal law of gravitation: The universal law of gravitation states that every object in the universe attracts every other object with a force called the gravitational force. The force acting between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centres.
Derivation: For two objects of masses m1 and m2 and the distance between them r, the force (F) of attraction acting between them is given by the universal law of gravitation