I don't know if this will make any sense, or if there's some elementary answer I'm overlooking but here goes:

I know that acceleration due to gravity is constant, independent of an objects mass. I.e., the whole tennis ball v. bowling ball dropping thing (not accounting for wind resistance/aerodynamics).

My question is this; if acceleration is the same, then doesn't the force acting upon the body have to scale based on the object's mass? Doesn't there need to be more force in order for a 10kg object to be accelerated the same speed as is needed to accelerate a 1kg object?

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