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A particle acted upon by constant forc...

A particle acted upon by constant forces `4hati+hatj-3hatkand3hatj+hatj-hatk` is displaced from the point `hati+2hatj+3hatk` to the point `5hati+4hatj+hatk`. The total work done by the force in SI unit is T

A

A)20

B

B)40

C

C)50

D

D)30

Text Solution

Verified by Experts

The correct Answer is:
B
Work done , `W=vecF*dvecs`
`=(vecF_(1)+vecF_(2))*(vecs_(2)-vecs_(1))`
`={(4hati+hatj-3hatk)+(3hati+hatj-hatk)}`
`{(5hati+4hatj+hatk)-(hati+2hatj+3hatk)}`
`=(7hati+2hatj-4hatk)*(4hati+2hatj-2hatk)`
`=28+4+8=40J`
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