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A particle is displaced from a position ...

A particle is displaced from a position `2hati-hatj+hatk (m)` to another position `3hati+2hatj-2hatk (m)` under the action of a force `2hati+hatj-hatk(N)`. The work done by the force is

A

8J

B

10 J

C

12 J

D

36J

Text Solution

Verified by Experts

The correct Answer is:
1
`vec(r)_(2)=3hati+2hatj-2hatk, vec(r)_(1)=2hati-hatj-hatk`
Disp `=vec(v)_(2)-vec(v)_(1)=hati+3hatj-3hatk`
`W=F.ds=(2hati+hatj-hatk).(hati+3hatj-3hatk)`
`=(2+3+3) =8`
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