Question

a bungee jumper of mass 50 kg jumps from a bridge using a 10 m long cord which can be approximated as a spring with spring constant 100 n/m. how far is he going to go below the bridge is he going to go before momentarily stopping

Answer 1

25.95 m

Step-by-step explanation:

m = mass of the bungee jumper = 50 kg

k = spring constant of the cord = 100 N/m

x = stretch of the cord

L = length of the cord = 10 m

h = height dropped by the bungee jumper = L + x = 10 + x

Using conservation of energy

Spring potential energy = gravitational potential energy

(0.5) k x² = mg h

(0.5) (100) x² = (50) (9.8) (10 + x)

x = 15.95 m

d = distance traveled below the bridge

d = L + x

d = 10 + 15.95

d = 25.95 m