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A particle moves with a velocity (5hati-...

A particle moves with a velocity `(5hati-3hatj+6hatk)` m/s under the influence of a constant force `vecF = (10hsti+10hatj+20hatk) N`. The instantaneous power applied to the particle is

A

200 W

B

40 W

C

140 W

D

170 W

Text Solution

Verified by Experts

The correct Answer is:
C
As `vecv = (5 hati + 6 hatk) m//s, vecF (10 hati + 10 hatj + 20 hatk) N`
`:.` Power = `vecF. Vecv = (10 hati + 10 hatj + 20 hatk). (5 hati - 3hatj + 6hatk)`
`= 50 - 30 + 120 = 140 W`
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