Question

) prove that the acceleration due to gravi

is independent to the mass of the falling body
​

Answer 1

Step-by-step explanation:

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

`F=(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) :

`(GMm)/(r^2)=mg\\\\g=(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