A particle moves with a velocity of 6hat...

A particle moves with a velocity of `6hati-4hatj+3hatk m//s` under the application of a constant force `vec F =20 hati+15 hatj-5hatk N.` What is the instantaneous power applied to the particle ?

25 J/s

35 J/s

45 J

8 J

Text Solution

Verified by Experts

The correct Answer is:

Power `=vec F cdot vec v`
`=(20 hati +15 hatj -5hatk ) cdot (6hati -4hatj+3hatk)`
`=(20xx6)-(15xx4)-(5xx3)`
`=120 -60 -15 =45 J//s`

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