A $5\mathrm{.}0-$kg box has an acceleration of $2\mathrm{.}0$m$/$s$2$ when it is pulled by a horizontal force across a surface with K$=0\mathrm{.}50.$ Find the work done over a distance of $10$ cm by $($a$)$ the horizontal force, $($b$)$ the frictional force, and $($c$)$ the net force. $($d$)$ What is the change in kinetic energy of the box?