all HELP appreciated! Thank You!

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 2.1 105 N. In being launched from rest it moves through a distance of 87 m and has a kinetic energy of 3.7 107 J at lift-off. What is the work done on the jet by the catapult?

Thrust*distance+capataluptwork=KEfinal

solve for catapultwork

To find the work done on the jet by the catapult, we need to use the work-energy principle, which states that the work done on an object is equal to its change in kinetic energy.

The work done by the catapult can be calculated by subtracting the work done by the jet's engines from the total work done on the jet.

The work done by the jet's engines is equal to the product of the thrust of the engines and the distance traveled by the jet:

Work done by the engines = Thrust × Distance = (2.1 × 10^5 N) × (87 m)

To find the total work done on the jet, we can subtract the work done by the jet's engines from the jet's total kinetic energy at lift-off:

Total work done = Total kinetic energy - Work done by the engines

Total work done = (3.7 × 10^7 J) - [(2.1 × 10^5 N) × (87 m)]

By substituting the given values into the equation, we can calculate the total work done on the jet by the catapult.