Physics (10th Edition)

Published by Wiley
ISBN 10: 1118486897
ISBN 13: 978-1-11848-689-4

Chapter 6 - Work and Energy - Focus On Concepts - Page 165: 22


a) is correct.

Work Step by Step

According to the work-energy theorem, $$W_{nc}=E_f-E_0$$ $$W_{air}=\frac{1}{2}m(v_f^2-v_0^2)+mg(h_f-h_0)$$ The skydiver's velocity remains constant, so $\frac{1}{2}m(v_f^2-v_0^2)=0$ We have $h_f-h_0=-325m$ (Since the skydiver falls downward, her final height is less than her initial height): $$ W_{air}=-mg\Delta h \\ W_{air}=-(92kg)(9.81 m/s^2)(325m)\\ W_{air}=-2.93\times10^5J$$
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