tgrayson
New Member
Well there is more mass, but the two bowling balls should be same shape and volume, so the drag would be the same on both objects. The heavier one would have a higher terminal velocity, but both would accelerate at the same rate.
My calculations say differently. The acceleration of the balls depends on the vector sum of the weight and the drag force. At any given time, the lighter ball has a smaller net force acting on it. The weight force is proportionate to its mass, but the drag force is not, and acts disproportionately on the lighter mass.
I think that a thought experiment can show that this is true. Both balls must experience a decreasing acceleration over time, if they are ever to arrive at a zero acceleration. If the acceleration decayed at the same rate, they both stop at the same terminal velocity. Clearly the the lighter ball must experience a more rapidly decreasing acceleration.