Jet fighter planes are launched from aircraft carriers with the aid of their own engines and a catapult. If in the process of being launched from rest, the thrust of a jet's engines is 2.50 x 10^5 N and after moving through a distance of 90 m the plane lifts off with a kinetic energy of 5.40 x 10^7 J, what is the work done on the jet by the catapult?