Consider a jet on the deck of an aircraft carrier. In order to take off, a catapult is attached to the jet and it is flung off the deck. An

Question

Consider a jet on the deck of an aircraft carrier. In order to take off, a catapult is attached to the jet and it is flung off the deck. An F-18 has a gross weight of approximately 17,000 kg and must reach speeds of about 270 km/hr by the end of the 150 m deck. The catapults on aircraft carriers must be able to launch a variety of aircraft that have different masses and minimum airspeeds for a flight! How would you ensure that you provide enough energy to the aircraft to get it safely off the deck of the aircraft carrier?

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Calantha 4 years 2021-08-07T17:58:34+00:00 1 Answers 11 views 0

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  1. thanhha
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    2021-08-07T18:00:28+00:00
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    Answer:

    E = 47812500 [J]

    Explanation:

    We can solve this problem first by applying the principle of energy conservation and then the work theorem.

    We have the following initial data.

    m = mass = 17000 [kg]

    v = velocity = 270 [km/h] = 75 [m/s]

    d = distance = 150 [m]

    Therefore the kinetic energy will be:

    E_{k}=0.5*m*v^2\\E_{k}= 0.5*17000*(75)^2\\E_{k}=47812500[J]\\

    This is the necessary energy that the catapult would need.

    Then we can calculate the necessary force of the catapult by means of the working theorem

    W = F * d

    F =W / d

    F = 47812500 / 150

    F = 318750 [N]

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