# Does acceleration due to gravity depend upon the mass of the body?

No, acceleration due to gravity do not depend on the mass of the body.

Explanation:

The acceleration produced in a freely falling body by the gravitational pull of the earth is called the acceleration due to gravitation.

We know that,

Force = Mass × Acceleration

F = m × a

a = …..1

Where F is the force on the object of mass m dropped from a distance r from the centre of earth of mass M.

So, force exerted by the earth on the object is

F = …..2

M = Mass of Earth

m = mass of object

r = distance of object from centre of earth

Now, from equation 1 and 2,

a =

a =

Now, from above,

a = g = Acceleration due to gravity

We also see that, although force is depending on the mass of the object,

F =

But acceleration due to gravity is independent of the mass.

g =

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