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A particle moves with a velocity v=(5hat...

A particle moves with a velocity `v=(5hati-3hatj + 6hatk) ms^(-1)` under the influence of a constant force
`F =(10hati + 10hatj + 20hath) N`, the instantaneous power applied to the particle is.

A

200 W

B

140 W

C

100 W

D

75 W

Text Solution

Verified by Experts

The correct Answer is:
B

`P =vec F cdot vec v`
`=(10 hati +10 hatj +20 hatk) cdot (5hati -3hatj+6hatk)`
`=50 -30 +120 =140 W`
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