Question

Does the acceleration due to gravity depend on the mass of a body? why or why not?

Answer 1

The force that an object experiences from gravity depends on its mass, multiplied by the mass of the other body:

F = G x M1 x M2 / R^2

Acceleration is equal to force divided by mass:

g = F / M1

So, we derive for the body with mass M1:

g = (G x M1 x M2 / R^2) / M1

which simplifies to:

g = G x M2 / R^2

So… the acceleration that a body experiences from its gravitational interaction with another body is dependent only on the mass of the other body, because it’s own mass winds up cancelling out!

Acceleration due to gravity depends on mass of earth, gravitational constant and distance between centre of earth and object.
clerly from equation