A 2,000 kg rocket is launched 12 km straight up at a constant acceleration into the sky at which point the rocket is travelling at 750 m/s.

Question

A 2,000 kg rocket is launched 12 km straight up at a constant acceleration into the sky at which point the rocket is travelling at 750 m/s. a) How much work was done by the rocket

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RobertKer 3 years 2021-08-25T04:48:58+00:00 1 Answers 6 views 0

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    2021-08-25T04:49:59+00:00

    Answer:

    797700000 J

    Explanation:

    From the question,

    The work done by the rocket, is given as,

    W = Ek+Ep…………. Equation 1

    Where Ek and Ep are the potential and the kinetic energy of the rocket respectively.

    Ep = mgh………… Equation 2

    Ek = 1/2mv²…………. equation 3

    Substitute equation 2 and equation 3 into equation 1

    W = mgh+1/2mv²………….. Equation 4

    Where m = mass of the rocket, h = height, v = velocity of the rocket, g = acceleration due to gravity.

    Given: m = 2000 kg, h = 12 km = 12000 m, v = 750 m/s, g = 9.8 m/s²

    Substitute into equation 4

    W = 2000(12000)(9.8)+1/2(2000)(750²)

    W = 235200000+562500000

    W = 797700000 J

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