Physics: Principles with Applications (7th Edition)

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

Chapter 6 - Work and Energy - Problems - Page 165: 21

Answer

The speed of the arrow as it leaves the bow is 43 m/s.

Work Step by Step

The work done by the string on the arrow will be equal to the kinetic energy of the arrow as it leaves the bow. Therefore, $KE = Work$ $\frac{1}{2}mv^2 = Fd$ $v = \sqrt{\frac{2Fd}{m}}$ $v = \sqrt{\frac{(2)(105 ~N)(0.75 ~m)}{0.085 ~kg}}$ $v = 43 ~m/s$ The speed of the arrow as it leaves the bow is 43 m/s.
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