First slide

Power

Question

A force of $2 \hat{i} + 3 \hat{j} + 4 \hat{k} N$ acts on a body for 4 second, produces a displacement of $(3 \hat{i} + 4 \hat{j} + 5 \hat{k}) m .$ The power used is

Moderate

A

9.5 W
B

7.5 W
C

6.5 W
D

4.5 W

Solution

$P = \frac{\vec{F} . \vec{s}}{t} = \frac{(2 \hat{i} + 3 \hat{j} + 4 \hat{k}) . (3 \hat{i} + 4 \hat{j} + 5 \hat{k})}{4} = \frac{38}{4} = 9 .5 W$

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