University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 7 - Potential Energy and Energy Conservation - Problems - Exercises - Page 230: 7.34


$F = (\frac{2\alpha}{x^3})~\hat{i}+(\frac{2\alpha}{y^3})~\hat{j}$

Work Step by Step

$U(x.y) = \alpha[(\frac{1}{x^2})+(\frac{1}{y^2})]$ $F = -((\frac{dU}{dx})~\hat{i}+(\frac{dU}{dy})~\hat{j})$ $F = -\alpha((\frac{-2}{x^3})~\hat{i}+(\frac{-2}{y^3})~\hat{j})$ $F = (\frac{2\alpha}{x^3})~\hat{i}+(\frac{2\alpha}{y^3})~\hat{j}$
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