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A force of magnitude of 30N acting along...

A force of magnitude of `30N` acting along `hat(i)+hat(j)+hat(k)`, displaces a particle form point `(2,4,1)` to `(3,5,2)`. The work done during this displacement is `:-`

A

`90J`

B

`30J`

C

`30sqrt(3)J`

D

`30lsqrt(3)J`

Text Solution

Verified by Experts

The correct Answer is:
C

`W=vec(F).vec(S)` where `vec(F)=(30(hat(i)+hat(j)+hat(k)))/(sqrt3)`
and `vec(S)=hat(i)+hat(j)+hat(k)`
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