Problem: The thrust created by a single jet engine produces a force F = 79000 N. It takes the aircraft (with a mass of m = 5100 kg) a distance of d = 0.74 km to take off.Part (a) What is the take-off speed of the aircraft vf 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 aircraft at the same speed without help from the engine?

FREE Expert Solution

Part (a)

The work done by the thrust force on the jet is equal to the kinetic energy of the jet. This is because all the work done by the thrust force is converted into kinetic energy.

Work done, W = Fd

Kinetic energy, K = (1/2)mv2

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Problem Details

The thrust created by a single jet engine produces a force F = 79000 N. It takes the aircraft (with a mass of m = 5100 kg) a distance of d = 0.74 km to take off.

Part (a) What is the take-off speed of the aircraft vf 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 aircraft at the same speed without help from the engine?

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