Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 11 - Oscillations and Waves - General Problems - Page 325: 63

Answer

0.11 m

Work Step by Step

Apply the principle of conservation of mechanical energy. The kinetic energy of the car is later stored as potential energy in the bumper. At the beginning there is no PE and at the end there is no KE. $$\frac{1}{2}mv^2=\frac{1}{2}kx^2$$ $$x=\sqrt{\frac{m}{k}}v=\sqrt{\frac{1300kg}{410000N/m}}(2.0m/s)\approx 0.11m $$
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