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25 May, 16:11

You and a friend move a grand piano across the living room, exerting 25 newtons of force and performing 175 joules of work. It takes you 14 seconds. How far did you move the piano? How much power did you generate, in watts (joules/sec) ?

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  1. 25 May, 17:44
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    Distance = 7 m

    Power = 12.5 J/s or watts

    Explanation:

    Work done = 175 Joules

    Force exerted = 25 Newtons

    Work done is the product of force exerted and the distance moved by a body.

    Therefore;

    Work done = Force * distance

    Rearranging the formula we can work out the distance;

    Distance = work done : Force

    = 175 J : 25 N

    = 7 m

    Thus, the grand piano was moved by 7 m across the living room.

    On the other hand,

    Power is the rate at which the work is done.

    Therefore;

    Power = Work done : time

    Work done = 175 Joules

    Time = 14 seconds

    Thus;

    Power generated = 175 J : 14 sec

    = 12.5 J/s or watts

    Hence, a power of 12.5 J/s was generated in moving the grand piano.
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