A force of (2hati + 3hatj + 4hatk) N act...

A force of `(2hati + 3hatj + 4hatk)` N acts on a body for 19 s and produces a displacement of `(3hati + 4hatj + 5hatk)m`. The power consumed is

A

2 W

B

6 W

C

19 W

D

38 W

Verified by Experts

The correct Answer is:

A

Power = `("work")/("Time") = ("Force" xx "Displacement")/("Time")`
`= ((hat2 + hat3 + hat4) . (hat3 + hat4 + hat5))/(19)`
`= (6 + 12 + 20)/(19) = 2W`

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