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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.

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Verified by Experts

Here force is variable so
`W=underset(vecr_i)overset(vecr_f)intvecF.vecdr=underset(vecr_1)overset(vecr_2)int(3x^2hati+2yhatj)*(dxhati+dyhatj+dzhatk)`
`=underset(vecr_1)overset(vecr_2)int(3x^2dx+2ydy)=[x^3+y^2]_(2,3)^(4,6)=83J`
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CENGAGE PHYSICS-WORK, POWER & ENERGY-Exercise 8.1
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