Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 7 - Kinetic Energy and Work - Problems - Page 176: 75

Answer

235 kW

Work Step by Step

Power is the dot product of force and velocity. $P=\vec{F}\cdot\vec{v}=Fv\cos\theta$ where $\theta$ is the angle between force vector and velocity vector. In this case, $F=mg=(4500+1800)9.8\,m/s^{2}$ $v=3.80\,m/s$ and $\theta=0^{\circ}$ as force vector is along velocity vector. Therefore, $P=6300\,kg\times9.8\,m/s^{2}\times3.80\,m/s\times\cos0^{\circ}$ $=235\,kW$
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