# 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

94% (225 ratings) ###### 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?

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Springs & Elastic Potential Energy concept. You can view video lessons to learn Springs & Elastic Potential Energy. Or if you need more Springs & Elastic Potential Energy practice, you can also practice Springs & Elastic Potential Energy practice problems.