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A force (4hati+hatj-2hatk) N acting on a...

A force `(4hati+hatj-2hatk)` N acting on a body maintains its velocity at `(2hati+2hatj+3hatk) m s^(-1)`. The power exerted is

A

4 W

B

6 W

C

2 W

D

8 W

Text Solution

Verified by Experts

The correct Answer is:
B
Force, `vecF=(4hati+2hatj-2hatk)N`
Velocity, `vecv=(2hati+2hatj+3hatk)m s^(-1)`
Power, `P=vecF.vecv =(4hati+2hatj-2hatk).(2hati+2hatj+3hatk)`
= (8 + 4-6) W =6 W
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