Kaplan Physics Question

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hellocello

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I know this question has been asked before, but what I don't understand wasn't addressed. Any insight is greatly appreciated!

Here was the question:
Tom, who has a mass of 80 kg, and Mary, who has a mass of 50 kg, jump off a 20-m tall building and land on a fire net. The net compresses and they bounce back at the same time. Which of the following is not true?

A. Mary will bounce higher than Tom.
B. Tom's change of momentum= 3,200 kg m/s.
C. Tom will experience a greater force upon impact than Mary.
D. The energy in this event is concerted from potential to kinetic to elastic to kinetic.

My thinking was when they hit the net their kinetic energy is eventually all converted into the potential energy of the spring. Since they hit the net together they would both end up at the same displacement, and would thus have equal energy: 1/2kx^2. Then this would get converted again to equal amounts of kinetic energy, and then potential energy for each of them separately. But since Tom is heavier, in order for him to have the same amount of kinetic energy as Mary, his velocity leaving the net must be less, and then he would end up at a lower height.

The answer should be A... can anyone tell me what's wrong here?
 
Think about it this way. If you have two spheres one is heavier than the other but they are made of the same material but dropped from the same height which will hit the ground first, assuming no air resistance?

Your thinking would be correct IF there was some kind of air resistance acting on them. For example why does a feather take longer than a piece of steel to hit the ground? It has nothing to do with their mass it is because there is a greater deal of air resistance acting on the feather due to the area/mass ratio.

Hope that helps!
 
Thanks for your reply! I know they would hit the net at the same time, but their energy does have to do with mass once they are done falling and gain energy from the net
 
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