Question

State Newton's law of gravitation and optain mathematical form

Answer 1

• The law of gravitation states that the force of attraction between any two particles is directly proportional to product of their masses and inversely proportional to square of distance between them.

F=GM*m/r2

Answer 2

Newton's law of gravitation gives the force between any two bodies in the universe separated by some distance

Explanation:

Let the masses of two bodies separated by distance 'd' are 'm₁' &'m₂'

and the force acting between these bodies is 'F'

According to this law Force is proportional to

1. Product of masses of the bodies                                                                    $F \alpha m_{1} m_{2}$           ....................................(1)
2. Inversely proportional to the square of distance between the bodies

         $F \alpha \frac{1}{d^{2} }$           ................................(2)

By joining both the equations (1)&(2) we get

=>     $F \alpha \frac{m_{1}m_{2} }{d^{2} }$

=>     $F =\frac{Gm_{1} m_{2} }{d^{2} }$

where G is the Gravitational constant

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