Question

state the universal law of gravitation and write it mathematically also

Answer 1

Hey!

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Universal law of gravitation states -

• Every object in the universe attracts every other object with a force which is directly proportional to the product of their masses.

• Every object in the universe attracts every other object with a force which is inversely proportional to the square of the distance between their centers. The direction of the force is alone the line joining the center's of two objects.

DERIVATION OF UNIVERSAL LAW OF GRAVITATION-


Suppose there are two object, A and B with masses, m1 and m2 respectively and 'r' is the distance between them.

According to the first point of Newton's law of gravitation-

F∝m1 × m2 [i]

According to second point of Newton's law of gravitation-

F∝ 1/r^2 [ii]

Combining [i] and [ii],

F ∝ m1×m2/r^2

So,

F= Gm1m2/r^2


Where, G= Universal gravitational constant.

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Hope it helps...!!!