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A force of (10hati-3hatj+6hatk)N acts on...

A force of `(10hati-3hatj+6hatk)N` acts on a body of 5 kg and displaces it from `(6hati+5hatj-3hatk)m "to" (10hati-2hatj+7hatk)m`. The work done is

A

100J

B

0

C

121J

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Here `F=(10hati-3hatj+6hatk)N`
`"Displacement vector"=vecx=(x_(2)-x_(1))hati+(y_(2)-y_(1))hatj+(z_(2)-z_(1))hatk`
`vecx=(10-6)hati+(-2-5)hatj+(7+3)hatk=4hati-7hatj+10hatk`
`"We know that work done" =w=vecF.vecs=(10hati-3hatj+6hatk)(4hati-7hatj+10k)`
`=40+21+60=121J`
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