Physics Technology Update (4th Edition)

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

Chapter 20 - Electric Potential and Electric Potential Energy - Problems and Conceptual Exercises - Page 721: 86

Answer

$4.608\times 10^{-13}J$

Work Step by Step

We know that $U_f=U_{12}+U_{13}+U_{23}$ $\implies U_f=\frac{kq^2}{r_{12}}+\frac{kq^2}{r_{13}}+\frac{kq^2}{r_{23}}$ As $r_{12}=r_{13}=r_{23}=r=1.5\times 10^{-15}$ $\implies U_f=\frac{3Kq^2}{r}$ We plug in the known values to obtain: $U_f=\frac{3(9\times 10^9)(1.6\times 10^{-19})^2}{1.5\times 10^{-15}}$ $U_f=4.608\times 10^{-13}J$ $Work \space done=U_f-U_i$ $\implies Work \space done=4.608\times 10^{-13}-0=4.608\times 10^{-13}J$
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