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An object is displaced from positin vect...

An object is displaced from positin vector `r_1=(2hati+3hatj)` m to `r_2=(4hati+6hatj)` m under a forc `F=(3x^2hati+2yhatj)N` Find the work done by this force.

Text Solution

Verified by Experts

The correct Answer is:
C

`W=int_(r_1)^(r_2)F.dr=int_(r1)^(r2)(3x^2hati+2yhatj).(dxhati+dyhatj+dzhatk)`
`=int_(r1)^(r2)(3x^2dx+2ydy)=[x^3+y^2]_(2,3)^(4,6)`
` =83J`.
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