Question

Understanding of acceleration due to gravity and its simple derivation

Answer 1

It is the force of attraction between two bodies e.g earth and a person it occurs by the virtue of weight. As the mass of body will always remains constant so it gets cancelled out. Note charge plays no role in this.

Answer 2

Answer :-

The acceleration produced in a body falling free under gravitational pull of earth is called acceleration due to gravity.

According to the gravitational law

$\sf F = \frac{GMm}{R^2}$ - i

According to Newton's second law of motion -

F = ma - ii

From equation i and ii :-

$\sf ma = \frac{GMm}{R^2}$

$\sf a = \frac{GM}{R^2}$

This a is known as acceleration due to gravity.

$\boxed{\sf a = g = \frac{GM}{R^2}}$