1. If a 40 kg gymnast and a 400 kg sumo wrestler each dropped from 1 m above the trampoline, find the final position of each athlete. The k value is 12 000 N/m.(Note: This is asking you to find the vertical position of the athlete at when the trampoline is at maximum stretch.)
2. Assume the trampoline is a simple spring that obeys Hooke's law with a k value of 12 000 N/m and the reference height is 0 m when the trampoline is not stretched. When the Sumo is standing on trampoline (This is the Normal or Contact Plane): a) How far down does the trampoline stretch? b) What is the Total Energy at this location? When the Sumo pushes with his legs against the trampoline. The trampoline stretches another 8 cm down . c) What is the Total Energy at this location? d) Using your results for total energy find the average force exerted by the sumo's leg muscles.
3. Each push of the legs drives the sumo wrestler 10 cm higher in the air.Real world trampolines lose energy since they are damped springs with much internal friction. How much energy does the sumo wrestler lose on each bounce in this situation?
4. How can a gymnast keep a constant bounce height in a real world trampoline?