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
