Question

) prove that the acceleration due to graviis independent to the mass of the falling body​

Answer 1

Explanation:

Let the mass of the body is m. The gravitational force acting on the object is given by :

$F=\dfrac{GMm}{r^2}$ ....(1)

G is universal gravitational constant

M is mass of Earth

r is the distance between the body

The acceleration of falling objects due to the gravitational force of Earth is equal to the acceleration due to gravity (g).

F = mg ...(2)

g is acceleration due to gravity

From equation (1) and (2) :

$\dfrac{GMm}{r^2}=mg\\\\g=\dfrac{GM}{r^2}$

Here, M is mass of Earth and r is the distance. Hence, the acceleration due to gravi ty is independent to the mass of the falling body