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28 April, 16:13

The mass of a steel wrecking ball is 1.50 E3 kg. What power is used to raise it to a height of 40.0 m if the work is done in 20.0 seconds.

There are no choices and I have to show my work but I don't know how.

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  1. 28 April, 19:14
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    Given,

    Mass of the ball (m) = 1.50 x 10³ kg = 1500 kg

    Height raised = Displacement of the ball (D) = 40.0 m

    Time taken (t) = 20 seconds

    Power = Work done (W) : time taken (t)

    Work done (W) = Force (F) x Displacement (D)

    Force (F) = Mass (m) x Acceleration due to gravity (g)

    Acceleration due to gravity for earth (g) = 9.81 m/s²

    Therefore,

    Force (F) = 1500 x 9.8 = 14715 N

    Work done = Force x Displacement = 14715 x 40 = 588600 Joules

    Now,

    Power = Work done : time taken = 588600 : 20 = 29430 Watts
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