College Physics (7th Edition)

Published by Pearson
ISBN 10: 0-32160-183-1
ISBN 13: 978-0-32160-183-4

Chapter 5 - Work and Energy - Learning Path Questions and Exercises - Exercises - Page 176: 36

Answer

$8.33\times 10^{3}J$

Work Step by Step

By work-energy theorem, Work done = Change in KE. $W=\frac{1}{2}mv^{2}-\frac{1}{2}mu^{2}$ $m=\frac{2W}{v^{2}-u^{2}}=432kg$ Now, work done =$\frac{1}{2}mv^{2}-\frac{1}{2}mu^{2}=\frac{432}{2}((30\times\frac{1000}{3600})^{2}-(20\times\frac{1000}{3600})^{2})=8.33\times 10^{3}J$
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