Conceptual Physics (12th Edition)

Published by Addison-Wesley
ISBN 10: 0321909100
ISBN 13: 978-0-32190-910-7

Chapter 18 - Think and Solve: 41

Answer

$\Delta T = 17.8^{\circ}C$.

Work Step by Step

Calculate the work that the hammer does on the nail. $$F \times d = (600 N)(0.08 m) = 48 J$$ This energy input raises the temperature of the nail, and the change can be found from $Q = cm\Delta T$. $$48 J = (450 J/(kg^{\circ} C))(0.006 kg)(\Delta T)$$ Solve to get $\Delta T = 17.8^{\circ}C$.
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