University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 7 - Potential Energy and Energy Conservation - Problems - Exercises - Page 230: 7.20

Answer

The cheese will go up to a maximum height of 1.72 meters above its initial position.

Work Step by Step

The potential energy of the cheese at maximum height will be equal to the initial potential energy in the spring. $U_{grav} = \frac{1}{2}kx^2$ $mgh = \frac{1}{2}kx^2$ $h = \frac{kx^2}{2mg} = \frac{(1800~N/m)(0.150~m)^2}{(2)(1.20~kg)(9.80~m/s^2)}$ $h = 1.72~m$ The cheese will go up to a maximum height of 1.72 meters above its initial position.
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