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Power is the time rate of change of doing work. The symbol often used for power is P . If work is denoted by W , then

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\begin

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[P \equiv \frac

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]\end


Since work is force exerted over displacement, the work done by a constant force over a displacement is given by

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\begin

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[ W = \vec

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\cdot \vec

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]\end


If the force is constant, then its derivative with respect to time is zero. and we have

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\begin

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[ P = \frac

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= \vec

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\cdot \frac{d

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}

= \vec

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\cdot \vec

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]\end


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