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A uniform force of (3hati+hatj) N acts o...

A uniform force of `(3hati+hatj)` N acts on a particle of mass 2kg. Hence, the particle is displaced from position `(2hati+hatk)`m to position `(4hati+3hatj-hatk)`m. The work done by the force on the particle is

A

9 J

B

6 J

C

13 J

D

15 J

Text Solution

Verified by Experts

The correct Answer is:
A
(a) Given, force `F=3hati+hatj`
`r_(1)=(2hati+hatk)m " and "r_(2)=(4hati+3hatj-hatk)m`
`:. " "s=r_(2)-r_(1)=(4hati+3hatj-hatk)-(2hati+hatk)`
`=(2hati+3hatj-2hatk)m`
`:." " W=F.s=(3hati+hatj).(2hati+3hatj-2hatk)`
`=3xx2+3+0=6+3=9J`
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