Q. 71

Expert-verified
Found in: Page 260

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

It’s your birthday, and to celebrate you’re going to make your first bungee jump. You stand on a bridge above a raging river and attach a -long bungee cord to your harness. A bungee cord, for practical purposes, is just a long spring, and this cord has a spring constant of . Assume that your mass is . After a long hesitation, you dive off the bridge. How far are you above the water when the cord reaches its maximum elongation?

The distance between you and water when the bungee cord is at maximum elongation.

See the step by step solution

Step 1: Given information

Height of the bridge,

Length of bungee cord

The spring constant of the cord

Step 2: Explanation

The potential energy of the cord:

The elastic energy of the cord,

By conservation of energy, equate potential energy and elastic energy.

Distance of the cord

The distance of the cord is below the water.