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. **Answer** k = 914 N/m 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. **Answer** k = 914 N/m Please show all steps for full points.

Explanation / Answer

Here the maximum length that the cord can be stretched is 36m- (25m + 4m) = 7m Then we can have from conservation of energy mg(36m)=(1/2)k(7m)2 + mg(4m) given mg = 700N Then k = (700N)(32m)(2)/(7m)2            =914N/m            =914N/m

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