Physics (10th Edition)

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

Chapter 6 - Work and Energy - Problems - Page 169: 68

Answer

$\overline P=2975W$

Work Step by Step

Since tension in the cable is not a conservative force, $$W_{nc}=E_f-E_0$$ $$W_T=\frac{1}{2}m(v_f^2-v_0^2)+mg(h_f-h_0)$$ The skiers are lifted at constant speed, so $v_f-v_0=0$. Therefore, $$W_T=mg(h_f-h_0)$$ The total mass of 4 skiers $m=4\times65=260kg$, $g=9.8m/s^2$ and $h_f-h_0=140m$ $$W_T=3.57\times10^5J$$ The lift goes for $t=2min=120s$, so $$\overline P=\frac{W_T}{t}=2975W$$
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