A force of F⇀=2i^+3j^+2k^N acts on a body for 4 s and produces a displacement of 3i^+4j^+5k^ m. Calculate the power ?

P=F⇀.V⇀ =Wt=F⇀.S⇀t=6+12+104=7W

A force of F⇀=2i^+3j^+2k^N acts on a body for 4 s and produces a displacement of 3i^+4j^+5k^ m. Calculate the power ?

P=F⇀.V⇀ =Wt=F⇀.S⇀t=6+12+104=7W

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A force of $\overset{⇀}{F} = 2 \hat{i} + 3 \hat{j} + 2 \hat{k}$ N acts on a body for 4 s and produces a displacement of $3 \hat{i} + 4 \hat{j} + 5 \hat{k}$ m. Calculate the power ?

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5 W

6 W

7 W

9 W

answer is C.

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Detailed Solution

$P = \overset{⇀}{F} . \overset{⇀}{V} = \frac{W}{t} = \frac{\overset{⇀}{F} . \overset{⇀}{S}}{t} = \frac{6 + 12 + 10}{4} = 7 W$

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A force of F⇀=2i^+3j^+2k^N acts on a body for 4 s and produces a displacement of 3i^+4j^+5k^ m. Calculate the power ?

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A force of $\overset{⇀}{F} = 2 \hat{i} + 3 \hat{j} + 2 \hat{k}$ N acts on a body for 4 s and produces a displacement of $3 \hat{i} + 4 \hat{j} + 5 \hat{k}$ m. Calculate the power ?