So the gravitational force exerted by the earth on any object (which I would denote in full by FGE,o) is proportional to the inertial mass of the object—in fact, it is what we call the object’...So the gravitational force exerted by the earth on any object (which I would denote in full by FGE,o) is proportional to the inertial mass of the object—in fact, it is what we call the object’s weight—but since to get the acceleration you have to divide the force by the inertial mass, that cancels out, and a ends up being the same for all objects, regardless of how heavy they are.