Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 8 - Potential Energy and Conservation of Energy - Problems and Conceptual Exercises - Page 249: 69

Answer

$2.87m$

Work Step by Step

According to law of conservation of energy $K.E_{bottom}+U_{bottom}=K.E_{top}+U_{top}$ $\implies \frac{1}{2}mv_{bottom}^2+0=0+U_{top}$ $\implies \frac{1}{2}mv_{bottom}^2=mgy_{top}$ This simplifies to: $y_{top}=\frac{v_{bottom}^2}{2g}$ We plug in the known values to obtain: $y_{top}=\frac{(7.50)^2}{2(9.8)}$ $y_{top}=2.87m$
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