A bungee jumper jumps from a hot air balloon with an elasticcord attached to his

Question

A bungee jumper jumps from a hot air balloon with an elasticcord attached to his ankles. The unstretched length of the cord is25m, the student weighs 700N, and the balloon is 36m above thesurface of a river below. Assuming that Hooke's Law describes thecord, calculate the required force constant if the student is tostop safely 4m above the river. Please show all steps for full points. A bungee jumper jumps from a hot air balloon with an elasticcord attached to his ankles. The unstretched length of the cord is25m, the student weighs 700N, and the balloon is 36m above thesurface of a river below. Assuming that Hooke's Law describes thecord, calculate the required force constant if the student is tostop safely 4m above the river. Please show all steps for full points.

Explanation / Answer

the length of the cord is L = 25 m the weight of the student is F = 700 N the maximum length of the cord when streched is L+x = 32  m                                4m above the river so the strech in the string is x = 7 m we have the relation     F =-Kx where K is the force constant                  K = F / x = 700 N / 7 m = 100 N / m

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