Jet Catapult Work: Calculate Kinetic Energy & Work Done

[ayerski]

Homework Statement

A fighter jet is launched from an aircraft carrier with the aid of its own engines and a steam powered catapult. The thrust of its engines is 2.3x10^5 N. In being launched from rest it moves through a distance of 87 m and has a kinetic energy of 4.5x10^7 at lift off. What is the work done on the jet by the catapult

Homework Equations

W= Fd
Ek= 1/2mv^2
W= Ekf - Eki

The Attempt at a Solution

It is clear I need to determine the velocity either from the kinetic energy formula or use it in the 3rd formula to determine the total work ad subtract the thrust of the engines, but what's throwing me off is that the mass is not given and it seems i need it to use these formulae.

 

[PhanthomJay]

The final KE is given, so do you need to know the mass? Use your third equation, then what?