Can you solve these physics riddles? ft Simone Giertz - Part 1/3

TL:DR. The heavier object gets more force. Reasoning follows:
1. Once both objects reach terminal velocity, regardless of what that velocity is for each object, the opposing force is enough to cancel the acceleration due to gravity. So it is preventing a value of 1g acceleration in both objects. 
2. . F=ma. If the acceleration-preventing force on both balls is the same (1g, because neither ball is continuing to accelerate), then for an increase in mass, the force must increase to prevent the same amount of acceleration.

Bonus:  Since the objects are the same size and shape, there should be no confounding fluid dynamics mumbo-jumbo with cross-sectional area, etc. Given the same cross-section, the only way the heavier object can get more opposing force is to run into more air molecules in less time....go faster. Lead ping-pong ball vs an actual ping-pong ball in an air tunnel - which needs a stronger pump?