   Chapter 5, Problem 79AP

Chapter
Section
Textbook Problem

In the dangerous “sport” of bungee jumping, a daring student jumps from a hot air balloon with a specially designed elastic cord attached to his waist. The unstretched length of the cord is 25.0 m, the student weighs 7.00 × 102 N, and the balloon is 36.0 m above the surface of a river below. Calculate the required force constant of the cord if the student is to stop safely 4.00 m above the river.

To determine
The force constant of the cord.

Explanation

Given Info:

The unstretched length of the cord is 25.0m .

The weight of the student is 7.0×102N .

The balloon is 36.0m above from the surface of the river.

Consider that, at the level of the river; PEg=0 .

The initial height of the jumper is yi=36.0m and the final height of the jumper is yf=4.0m . So, the jumper falls 32.0m . Since, the unstretched length of the cord is 25.0m , the cord stretches 7.0m in the jump.

According to the conservation of energy,

KEf+PEg,f+PEs,f=KEi+PEg,i+PEs,i

The initial kinetic energy and potential energy due to stretching is zero because the initial velocity is zero

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