Answer
P = 14.7 N
Work Step by Step
The work done by the applied force will be equal to the kinetic energy of the cylinder.
$P~d = KE$
$P~d = \frac{1}{2}I\omega^2$
$P~d = \frac{1}{2}(mr^2)(\frac{v}{r})^2$
$P~d = \frac{1}{2}mv^2$
$P = \frac{mv^2}{2d}$
$P = \frac{(\frac{40.0~N}{9.80~m/s^2})(6.00~m/s)^2}{(2)(5.00~m)}$
$P = 14.7~N$
