Q. 274.7( 3 Votes )

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

Answer :

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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