From work-energy theorem:
Work done = gain in kinetic energy.
, where F is force and d is distance.
The thrust produced by a lone jet engine generates a force of F = 84000 N. Which requires the airplane (with a mass of m = 9600 kg) a distance of d = 0.74 km to take off
Part (a) What is the take-off speed of the airplane vt in m/s?
Part (b) How far in meters would you need to depress a giant spring k = 100,000 N/m in order to launch the airplane at the same speed without help from the engine?
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