Essential University Physics: Volume 1 (3rd Edition)

Published by Pearson
ISBN 10: 0321993721
ISBN 13: 978-0-32199-372-4

Chapter 7 - Exercises and Problems: 19

Answer

Please see the work below.

Work Step by Step

According to law of conservation of energy $K+U=K_{\circ}+U_{\circ}$ $K+0.0=0.0+mg\Delta y$ $\implies K=mg\Delta y$ We know that $v=\sqrt{\frac{2K}{m}}$ $\implies v=\sqrt{\frac{2(mg\Delta y)}{m}}$ $v=\sqrt{2g\Delta y}$ We plug in the known values to obtain: $v=\sqrt{(2)(9.8)(25+38)}$ $v=35\frac{m}{s}$
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