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28 April, 07:11

a 200 kg bucket of cement is accelerated 2200n. the acceleration continues for 5s, what is the power at the end of the period?

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  1. 28 April, 07:25
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    power = 121000 watts or 121 kilowatts

    Explanation:

    power is the rate at which work is done. The expression for power is defined mathematically as follows.

    power = work/time

    where

    work = force * displacement

    power = (force * displacement) / time

    power = force * displacement/time

    recall

    velocity = displacement/time. Therefore,

    power = force * velocity

    mass of cement = 200 kg

    Force = 2200 Newton

    acceleration = ?

    Force = mass * acceleration

    2200 = 200a

    divide both sides by 200

    a = 2200/200

    a = 11 m/s²

    We need the velocity to calculate for power.

    v = u + at

    where

    u = initial velocity

    v = final velocity

    a = acceleration

    t = time

    u = 0 m/s

    a = 11 m/s²

    t = 5 s

    v = u + at

    v = 0 + 11 * 5

    v = 55 m/s

    power = force * velocity

    power = 2200 * 55

    power = 121000 watts or 121 kilowatts
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