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 205: 39f


force is acting in negative $x$ direction

Work Step by Step

Work done by the force: $W=-\Delta U=-\left( U_{c}-U_{A}\right) =-\left( 45-15\right) =-30J$ Then, $W=F\Delta x=F\times \left( 6-5\right) =F\times 1m=-30J\Rightarrow F=-30N$ The minus sign means that the force is acting in negative $x$ direction.
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