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A force of 2i + 3j + 2k N acts a body for 4 s and produces a displacement of 3i + 4j + 5k m calculate the power ?

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7 W

9 W

6 W

5 W

answer is C.

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Detailed Solution

$\vec{F} = (2 \hat{i} + 3 \hat{j} + 2 \hat{k}) N; t = 4 s$

$\vec{S} = (3 \hat{i} + 4 \hat{j} + 5 \hat{k}) m Power = \frac{work}{time} = \frac{\vec{F} \cdot \vec{S}}{t}$

$= \frac{6 + 12 + 10}{4} = \frac{28}{4} = 7 watt$ .

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