Americans are getting heavier. What’s the jumper’s weight limit for a 40.0 ft unstretched bungee with stiffness of K = 6.25 lbf/ft? Graph final length L + x vs. W for weights from 100. lbf to 300. lbf in increments of 25 lbf. Print a warning if the jumper is too heavy for a 150. ft initial height. (Hint: Look up the application of the IF statement in your spreadsheet program.)

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