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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
`vecF= 2hati +hatj -hatk`
`vecd= (3hati + 2hatj -2hatk)-(2hati -hatj+ hatk)`
`=hati + 3hatj -hatk`
`W = vecF .vecd= (2hati + hatj - hatk).(hati + 3hatj - 3hatk)`
`2 + 3 + 3=8 "unit"`
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