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A force (3 hat(i)+4 hat(j)) acts on a bo...

A force `(3 hat(i)+4 hat(j))` acts on a body and displaces it by `(3 hat(i)+4 hat(j))m`. The work done by the force is

A

10 J

B

12 J

C

16 J

D

25 J

Text Solution

Verified by Experts

The correct Answer is:
D
Given, force `F=(3hat(i)+4hat(j))N`
Displacement `=(3hat(i)+4hat(j))m`
Work donw, `W=F.s`
`=(3 hat(i)+4hat(j)).(3hat(i)+4hat(j))`
`=9+16`
`W=25 J`
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