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 175: 63b

Answer

-155 J

Work Step by Step

The gravitational force $F=mg=25.0\,kg\times9.8\,m/s^{2}=245\,N$ Displacement $d=1.50\,m$ Now, the gravitational force acts vertically downwards and the displacement is upwards and parallel to the incline angled at $25^{\circ}$ with the horizontal. Therefore, the angle between $\vec{F}$ and $\vec{d}$ is $(90+25)^{\circ}=115^{\circ}$ $W=Fd\cos\theta=245\,N\times1.50\,m\times\cos150^{\circ}=-155\,J$
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