If I had a mass of 100kg accelerating due to gravity, using F=ma:

F = 100kg * 9.8m/s/s

F = 980 N...

If I increased the mass to 200kg, the force would be 1960 N:

F = 200kg * 9.8m/s/s

F = 1960 N

Now, finally getting to my question: Does this increase in force (which is supposed to be a push/pull) mean that the object would fall faster when it weighs more?