- #1

timetraveller123

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## Homework Statement

5. In the spectacular sport of bungee jumping,, a light elastic cord (a bungee cord) is tied tightly around the ankles of someone who jumps from a bridge of height H to which the other end of the cord is attached. The length of the cord is calculated so that the jumper, of mass m, will not quite reach the surface of the water below the bridge before he or she springs back up. Suppose the cord behaves like a spring of spring constant 10 mg/H where g is the acceleration due to gravity.

(a) How long must the cord be so that a jumper just touches the water before being pulled back up? Neglect the height of the jumper and any eﬀects due to friction.

(b) Friction damps the up-and-down motion of the jumper that results after the initial jump. How far above the water would the jumper be when the oscillations have ceased?

Express your answers in terms of

H

so this is the question i have gotten the answer to the first part and stuck at the second part . i could at least solve it if i knew the damping factor or the coefficient of friction but the question gives nothing is there any method i can use to solve this

the given solution is (1/√5 - 1/10)H

## Homework Equations

no idea which equation to use