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The work done by the force F=A(y^(2)hat(...

The work done by the force `F=A(y^(2)hat(i)+2x^(2)hat(j))`, where A is a constant and x & y are in meters around the path shown in

A

zero

B

`Ad`

C

`Ad^2`

D

`Ad^3`

Text Solution

Verified by Experts

The correct Answer is:
D

`intvecFdvecx=intA(y^2hati+2x^2hatj)(dxhati+dyhatj)`
`Aint(y^2dx+2x^2dy)`
`W_(OA)=0+0`,`W_(AB)=A[0+2d^2d]`
`W_(BC)=A[d^2(-d)+0]`,`W_(CD)=A[0+0]`
`W=0+2Ad^3-Ad^3+0=Ad^3`
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