$3.$ An $8\mathrm{.}0$kg sled is initially at rest on a horizontal road. The coefficient of kinetic friction between the sled and the road is $0\mathrm{.}40.$ The sled is pulled a distance of $3\mathrm{.}0$ m by a force of $40$ N applied to the sled at angle of $30$ above the horizontal. $($a$)$ Find the work done by the applied force. $($b$)$ Find the energy dissipated by friction. $($c$)$ Find the change in the kinetic energy of the sled. $($d$)$ Find the speed of the sled after it has traveled $3\mathrm{.}0$ m$.$