Bungee Jump (link for coaches): https://phy-coaches.cst.cmich.edu/type3/E8-bunge

Question

Bungee Jump (link for coaches): https://phy-coaches.cst.cmich.edu/type3/E8-bungeejump/bungeejump.php You have a summer job working for a company that arranges bungee jumps in which the jumpers step off a high platform with a bungee cord attached to their legs. The cord used in the jump are sorted by their unstreched length and elasticity. Your first task is to help the employees pick out cords by developing an equation for the unstreched length of a cord that is appropriate for a particular jump, given the mass of the jumper m 68 kg and the height of the jump h 110 m For most exciting jump, the person should stop just short of the ground. In order to keep the jumper safe, the company doctor recommends that the maximum acceleration of the person during the jump be no longer than 2g

Explanation / Answer

THE tension developed in the cord should be such that it must support the weight of the man -

T = Mg

T = 68*9.8

T = 666.4 Newton

if the force applied by the cord beyond it's normal lenght is F then upward acceleration can be calculated as -

a = F/m - g

if a = 2g

3g = F/m

F = 3 mg

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