Question

# A particle moves with a velocity $$\bar{v} = (5\hat{i} - 3\hat{j} + 6\hat k)$$ m/s, under the influence of a constant force $$\vec{F} = (10 \hat{i} + 10 \hat{j} + 20 \hat{k})N$$. The instantaneous power applied to the particleis:

A
200 J/ s
B
40 J/s
C
140 J/s
D
170 J/s

Solution

## The correct option is B 140 J/sWe know that power is defined as:$$P=\vec F\cdot \vec v$$Putting values will get,$$P=(5\hat{i}-3\hat{j}+6\hat{k})\cdot(10\hat{i}+10\hat{j}+20\hat{k})$$$$P=50-30+120=140 J/s$$Physics

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