A $1500$kg elevator, suspended by a single cable with tension $16\mathrm{.}0$kN$,$ is measured$$to be moving upward at$1\mathrm{.}8$m$/$s$.$ Air resistance is negligible. We want to find the elevator$$s speed after traveling upward $10\mathrm{.}0$ m$.$ This could be solved with Newton's laws and kinematics, but we will use the energy principle. How much work does tension do on the elevator as it rises $10\mathrm{.}0$ m$?$