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A uniform force of (2hat(i)+hat(j)) N ac...

A uniform force of `(2hat(i)+hat(j))` N acts on a particle of mass 1 kg. The particle displaces from position `(3hat(j)+hat(k))` m to `(5hat(i)+3hat(j))` m. The work done by the force on the particle is

A

9 J

B

6 J

C

10 J

D

12 J

Text Solution

Verified by Experts

The correct Answer is:
C
`W=vecF.vecS`
`vecF=2hati+hatj`
`vecS=(5hati+3hatj)-(3hatj+hatk)`
`=5hati-hatk`
`therefore W=(2hati+hatj).(5hati-hatk)`
= `10J`
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