A 70·kg bungee jumper jumps from a bridge. She is tied to a 14·m-long bungee cor

Question

A 70·kg bungee jumper jumps from a bridge. She is tied to a 14·m-long bungee cord and falls a total of 40·m.

(a) Calculate the effective spring constant of the bungee cord.
k = N/m.

(b) Where will the bungee jumper experience the greatest acceleration? Choose one answer only.
when he first begins to fall
just before the bungee begins to stretch
just after the bungee begins to stretch
when the bungee is fully stretched

(c) Find the maximum acceleration of the jumper. Take upward to be the positive direction.
m/s2

Explanation / Answer

a) using conservation of energy (1/2)kx^2 = mgh (1/2)k(40-14)^2 = 70*9.8*40 k = 81.18343 N/m b) when bungee is fully stretched c) a = (kx/m) - g = (81.18343*(40-14)/70) - 9.8 = 20.354 m/s^2

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