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A daredevil plans to bungee jump from a balloon 72.0 m above a carnival midway.

ID: 2057673 • Letter: A

Question

A daredevil plans to bungee jump from a balloon 72.0 m above a carnival midway. He will use a uniform elastic cord, tied to a harness around his body, to stop his fall at a point 10.0 m above the ground. Model his body as a particle and the cord as having negligible mass and obeying Hooke's law. In a preliminary test, hanging at rest from a 5.00 m length of the cord, he finds that his body weight stretches it by 1.45 m. He will drop from rest at the point where the top end of a longer section of the cord is attached to the stationary balloon.
(a) What length of cord should he use?
m

(b) What maximum acceleration will he experience?
m/s2

Explanation / Answer

l = 58 m
amax = 2g