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11 September, 20:25

A model hydroelectric power station produces just enough electric power to light a 6.0 W lamp. The model is found to be 80% efficient at converting the potential energy store of the water into electrical work. What is the input power of the water running through the pipes?

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  1. 11 September, 20:42
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    You said that the useful output power from the model is 6 watts. You also said that the model is 80% efficient. We have no reason to doubt your word, so we know that

    (useful output) / (input power) = 80% or 0.8

    (6 watts) / (input power) = 0.8

    Multiply each side by (input power) : 6 watts = (0.8) (input power)

    Divide each side by 0.8 : Input power = (6 watts / 0.8)

    Input power = 7.5 watts
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