If two balls that are different in size are dropped from the same height, does the size of the ball change how high the ball bounces back up successively?

Question

theviper · Answer

@radar @lgbasallote help sir:)

kinggeorge · Answer

I'm going to assume that the balls are different in size, and only size, and that we're working under the normal conditions of "perfect physics." 

If this is the case, I don't think it should change. They would both have the same velocity when they impacted the ground. The only thing I'm not sure about is how you would model the energy transferred to the ground/back to the ball. If this is related to the square of the mass, or cube, or anything other than a linear relation, then it would change.

anonymous · Answer

So speaking in mathematical sequences, the common ratio would remain the same assuming that all other factors are held the same? This is actually for an algebra II project, but it seems more like a Physics question.

kinggeorge · Answer

Given that this is algebra 2 and not college physics, I would assume that both ball return to the same height. 

The only thing that would make it not equal, is if the energy transfer upon impact depended on something that was not a linear relation between something other than velocity.

anonymous · Answer

Alright. Thank you :)

kinggeorge · Answer

You're welcome. I'll let you know if I find any contradicting equations or such.