A force of 2 hati + 3 hatj + 4 hatk N ac...

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

A

9.5 W

B

7.5 W

C

6.5 W

D

4.5 W

Verified by Experts

The correct Answer is:

A

`P = vecF.vecv = vecF .(vecS)/t`
`=(2hati+3hatj+4hatk).(3/4 hati+hatj+5/4hatk)`
`=3/2 +3+ 5 = 9.5 W`

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