Question

state universal law of gravitation and derive its mathematical form​

Answer 1

The universal law of gravitation states that the force of attraction between two masses m1 and m2 separated by a distance r is directly proportional to the product of the masses and inversely proportional to the square of the distance between the masses.

That is,

F α m1m2

F α 1/r2

Or, F = Gm1m2/r2

Where, G is a constant called the universal gravitational constant and is equal to 6.67 × 10-11 Nm2/kg2

Answer 2

Answer:

Every object in the universe attract each other with a force which is proportional to the product of their mass and inversely proportional to the square of the distance between them.

Mathematical Expression

______________________________

Consider two bodies of masses M and m.

let D be the distance between their centre and F be the force with which the two bodies attract e ach other.

Here,

F*Mm

Also,

F*1 by d square

F*Mm/d square

Or

F =GMm by d square.

Where,

G is constant and is known as gravitational constant

Explanation:

Note: '*'

This sign indicates proportionality sign.