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 210: 92

Answer

$v = 56~m/s$

Work Step by Step

The initial kinetic energy is equal to the gravitational potential energy at the highest point on the slope. We can find the initial speed: $K_1 = U_2$ $\frac{1}{2}mv^2 = mgh$ $\frac{1}{2}v^2 = gh$ $v^2 = 2gh$ $v = \sqrt{2gh}$ $v = \sqrt{2gL~sin~\theta}$ $v = \sqrt{(2)(9.8~m/s^2)(920~m)~(sin~10^{\circ})}$ $v = 56~m/s$
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