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A paticle acted on by constant forces 4h...

A paticle acted on by constant forces `4hati=hatj-3hatk and 3hati+hatj-hatk` is displaced from the point `hati+2hatj+3hatk to 5hati+4hatj+hatk`. Find the work done

A

20 units

B

30 units

C

40 units

D

50 units

Text Solution

Verified by Experts

The correct Answer is:
C
Total force `F=F_(1)+F_(2)`
`=4hati+hatj-3hatk+3hati+hatj-hatk`
`=7hati+2hatj-4hatk`
Displacement `d=PV` of `B-PV` of A
`=(5-1)hati+(4-2)hatj+(1-3)hatk`
`=4hati+2hatj-2hatk`
`:.W=F.d`
`=(7hati+2hatj-4hatk).(4hati+2hatj-2hatk)`
`=28+4+8=40` units.
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