Question

ick jumps off his roof which is 10 meters tall onto his trampoline which has a height of 1 meter and acts like a spring. Nick has a mass of 70 kg and sinks 0.4 meters into the trampoline before coming to a complete stop. What is the spring constant of the trampoline

Answer 1

Answer: The spring constant of the trampoline is 87500N/m

Explanation:

From the formula for elastic potential energy,

Work done on the spring = 1/2 Ke²

Work done = Potential energy of the body = mass(kg) * g * height(meters)

mgh = 1/2 Ke²,

where m = 70Kg, g = 10 m/s², h = 10m, K = spring constant, e = extension or compression = 0.4m

70 * 10 * 10 = 1/2 K * (0.4)²

7000 = 0.08 * K

K = 87500N/m

The spring constant of the trampoline is 87500N/m