An 1.8 x 10³ kg airplane starts from rest and accelerates uniformly to a speed of 65 m/s in 8.0 s. Determine the power produced by the plane

Question

An 1.8 x 10³ kg airplane starts from rest and accelerates uniformly to a speed of 65 m/s in 8.0 s. Determine the power produced by the plane’s engine if the aircraft feels a 1.0 x 10³ N resistance force.

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Neala 4 years 2021-08-21T04:45:02+00:00 1 Answers 15 views 0

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  1. Verity
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    2021-08-21T04:46:27+00:00
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    Answer:

    P =  5.1 x 10^5 W

    Explanation:

    Power is the rate of doing work

    The work will overcome friction and increase the kinetic energy

    The distance traveled is d = ½at² = ½(v/t)t² = ½vt

    W = ½mv² + Fd

    W = ½(1800)65² + 1000(½(65)(8.0)) = 4,062,500 J

    4,062,500 J / 8.0 s = 507,812.5 = 5.1 x 10^5 W

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