Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 28 - The Electric Potential - Conceptual Questions - Page 832: 4


(a) $U_{1 \to 2}=U_{1 \to 3}$ (b) $v_{2}=v_{3}$

Work Step by Step

(a) Potential energy of the charge in an electric field is $U=qEs$. Here, $s$ is the distance measured vertically from point $1$ to point $2$ as there is no horizontal component of $E$. Hence, $U_{1 \to 2}=U_{1 \to 3}$ (b) Since, total energy is constant , the change in the kinetic energy $\Delta K_{12}$ is equal to $\Delta K_{13}$ because $\Delta U_{12}=\Delta U_{13}$. Hence, $v_{2}=v_{3}$.
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