The stored potential energy in the trampoline at maximum compression, (1/2) k X^2, equals the gravitational potential energy at maximum height, M g H. (Kinetic energy is zero in both cases)

Question

X = 0.5 m
g = 9.8 m/s^2
H = 2.5 m
k = the spring constant.
Solve for k.
k = 2MgH/X^2

A 115 kg man is jumping on a trampoline. If the trampoline is compressed .5 meters and the maximum height is 2.5 meters above the trampoline, what is the spring constant?

Answer 1

A Knight of the Round Table fires off a vat of burning pitch from his catapult at 14.5 m/s, at 33 ◦ above the horizontal.
The acceleration of gravity is 9.8 m/s2 . How long is it in the air?
Answer in units of s

Answer 2

10.47