Define power & show that power is equal to the product of force and velocity.

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Solution

Power is defined as the rate of doing work,

Its SI unit is $w a t t$ .

$P = \frac{d W}{d t} = \frac{\to F . \to d r}{d t}$

$⟹ P = \to F . \frac{\to d r}{d t}$

$⟹ P = \to F . \to v$

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