Fundamentals of Physics Extended (10th Edition)

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

Chapter 8 - Potential Energy and Conservation of Energy - Problems - Page 208: 67b

Answer

$10\sin 40^{0}+16\approx 22.43J$

Work Step by Step

$E_{k}=mgh+\dfrac {kx^{2}}{2}=mg\left( d\sin \theta +x\sin \theta \right) +\dfrac {kx^{2}}{2}\Rightarrow E_{k}=1\times 10\times \left( 0.6\times \sin 40+0.4\times \sin 40\right) +\dfrac {200\times 0.4^2}{2}=10\sin 40+16=$ $10\sin 40^{0}+16\approx 22.43J$
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