Physics Technology Update (4th Edition)

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

Chapter 10 - Rotational Kinematics and Energy - Problems and Conceptual Exercises - Page 327: 61

Answer

$K.E_t=170J$ $K.E_r=0.072J$

Work Step by Step

We can find the translational energy as $K.E_t=\frac{1}{2}Mv^2$ We plug in the known values to obtain: $K.E_t=\frac{1}{2}(0.15)(48)$ $K.E_t=170J$ Now we can find the rotational kinetic energy as below $K.E_r=\frac{1}{2}I\omega^2$ $\implies K.E_r=\frac{1}{2}(\frac{2}{5}MR^2)\omega^2=\frac{1}{5}MR^2\omega^2$ We plug in the known values to obtain: $K.E_r=\frac{1}{5}(0.15)(0.037)(42)=0.072J$
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