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 211: 97

Answer

Change in the mechanical energy of system caused by the air drag $ =80$ $mJ$

Work Step by Step

$Kinetic$ $energy =\frac{1}{2}mv^{2}$ Substituting the known values and solving, gives: $Kinetic$ $energy = \frac{1}{2}(0.5)4^{2}=4 J$ Potential energy at maximum height is given by: $Potential$ $Energy=mgh$ Substituting the known values and solving, gives: $Potential$ $Energy$ $= 0.5 (9.8)0.8 = 3.92 J$ Change in Mechanical energy $ = Kinetic$ $Energy - Potential$ $Energy$ Substituting the values of Kinetic energy and Potential energy gives: Change in Mechanical energy $=4 J-3.92 J= 0.08 J$ So, Change in Mechanical energy $=80 mJ$
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