Answer
6.0 N
Work Step by Step
$W=0\,\implies \vec{F}\cdot\vec{d}=0$
$\implies ((4.0\,N)\hat{i}+c\hat{j})\cdot((3.0\,m)\hat{i}-(2.0\,m)\hat{j})=0$
$\implies(4.0\times3.0)\,J+(c\times-2.0)\,J=0$
$\implies 12\,J=2.0\,m\times c$
Or $c=6.0\,N$
Fundamentals of Physics Extended (10th Edition)
by Halliday, David; Resnick, Robert; Walker, Jearl
Published by
Wiley
ISBN 10:
1-11823-072-8
ISBN 13:
978-1-11823-072-5
Chapter 7 - Kinetic Energy and Work - Problems - Page 175: 70a
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