If the height of the cliff is 150.0 ft, K = 6.25 lbf/ft, L = 40.0 ft, and the person’s weight is 150.0 lbf, will the person be able to bungee jump safely? Support your answer by giving the final value for length = L + x. (A: 114 ft < 150 ft, OK)

At full stretch, the elastic rope of original length L stretches to L + x. For a person whose weight is W lbf and a cord with a stiffness K lbf/ft, the extension x is given by this formula:

 

and that can be written in spreadsheet script as x = W/K + sqrt(W^2/K^2 + 2 * W * L/K).

Transcribed Image Text:

w2 2W x L W X=ー+ K*VK K