If I had a mass of 100kg$100\:\rm{kg}$ accelerating due to gravity, using F=ma$F=ma$:
F = 100kg * 9.8m/s/s$F = 100\:\rm{kg} \times 9.8\:\rm{m/s^2}$
F = 980 N$F = 980 \:\rm N$...
If I increased the mass to 200kg, the force would be 1960 N:
F = 200kg * 9.8m/s/s$F = 200\:\rm{kg} \times 9.8\:\rm{m/s^2}$
F = 1960 N$F = 1960 \:\rm{N}$
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?