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Why acceleration due to gravity does not depend upon mass of a body.?
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Why acceleration due to gravity does not depend upon mass of a body.?
Given an object of mass m in a gravitational field due to a body of mass M, the force upon either would be GMm/(r^2) where G is the Gravitational constant, and r is the distance between the two masses.
Since Force = (mass)(acceleration), hence you can see that:-
Acceleration of mass m due to gravity = GM/(r^2)
Acceleration of mass M due to gravity = Gm/(r^2)
So the acceleration of a given mass due to gravity does not depend upon the said mass.
Addendum (just to cover all the bases):-
However, if your question is/was whether the acceleration due to gravity depends upon the mass exerting the gravitational force, then Yes.
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Why acceleration due to gravity does not depend upon mass of a body.?
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