A Navy jet $($see the figure$)$ with a weight of $202$ kN requires an airspeed of $89\mathrm{.}0$ m$/$s for liftoff. T engine develops a maximum force of $100$ kN$,$ but that is insufficient for reaching takeoff speed the $93\mathrm{.}0$ m runway available on an aircraft carrier. What minimum force $($assumed constant$)$ is needed from the catapult that is used to help launch the jet? Assume that the catapult and the jet's engine each exert a constant force over the $93\mathrm{.}0$ m distance used for takeoff.