Question

Give the universal law of gravitation ans derive their mathematical expression. Give any two incident which explain this law

Answer 1

Answer:

Every object in this universe attracts every other object with a force which is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centres.

Answer 2

Answer:

here is the answer

Explanation:

Statement-The force exerted by on the body of masses M1 and M2 is directly proportional to the product of the masses and inversely proportional to the square of distance between the two bodies.

Derivation

Consider two bodies of mass m₁ and m₂ separated by a distance R from each other and a Gravitational force F acting on the body

So by the Universal law Of Gravitation,

F∝ m₁ₓm₂----------(1)

F ∝1/ r²-------------(2)

Combining the two equations,

F∝m₁.m₂/r²

To remove the proportionality symbol, we put a constant G also known as Gravitational Constant.

So the equation becomes.....

F= Gm₁m₂/r²

where G= 6.67ₓ10⁻⁷

Examples

1. Suppose we throw a stone towards he sky, it falls back. This  is due to  Gravitation constant G. But the earth doesnt experience any upwards force. This due to earth has a huge mass as compared to the stone and so the mass factor remains cancelled