Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 7 - Work and Kinetic Energy - Problems and Conceptual Exercises - Page 212: 30

Answer

(a) $-7.2KJ$ (b) $28m$ (c) $260N$

Work Step by Step

(a) We can find the required work done as $W=\Delta K.E=\frac{1}{2}mv_f^2-\frac{1}{2}mv_i^2$ We plug in the known values to obtain: $W=0-\frac{1}{2}(65+8.8)(14)^2$ $W=-7200J$ $W=-7.2KJ$ (b) We can find the required distance as follows: $\Delta x=\frac{1}{2}(v_{\circ}+v)t$ We plug in the known values to obtain: $\Delta x=\frac{1}{2}(14+0)(4.0)$ $\Delta x=28m$ (c) We can find the required force as $F=\frac{W}{\delta x}$ We plug in the known values to obtain: $F=\frac{7200}{28}$ $F=260N$
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