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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

8

B

10

C

12

D

16

Text Solution

Verified by Experts

The correct Answer is:
A
Work done,
`W=F*Deltar`
`=(2hati+hatj-hatk)*[(3hati+2hatj-2hatk)-(2hati-hatj+hatk)]`
`=(2hati+hatj-hatk)*(hati+3hatj-3hatk)`
`=2+3+3=8` units
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