- #1
orangegalaxies
- 50
- 16
- Homework Statement
- Harry has a mass of 58kg and jumps off a roof that is 3.8 m above the ground and lands on a trampoline that is 1 m off the ground. The trampoline has 110 springs each with a k value of 77.6 N/m.
a) How far does the spring/trampoline stretch? For simplicity sake, assume the trampoline mesh is an extension of the springs.
b) What is the acceleration of Harry on the trampoline when his speed reaches 0 m/s? include a free body diagram.
c) If 30% of the energy is lost due to friction each bounce, how far above the trampoline will Harry reach on his first bounce? 2nd bounce?
- Relevant Equations
- Eg = mgh
Ee = 1/2kx^2
Ek = 1/2mv^2
F = ma
Fg = mg
For a) I did Eg = Ee + Eg and tried to solve for x. I got 5.4 m but I think this is wrong. I have no idea how to do the rest, please help :')