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Q.

The work done by the force = F→ = A(y2i^+2x2j^) , where A is a constant and x and y are in meters around the path shown is:

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a

zero

b

Ad

c

A d2

d

A d3

answer is D.

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Detailed Solution

∫F. dx = ∫A(y2i^+2x2j^)(dxi^+dyj^)             = A∫(y2dx+2x2dy)WOA = 0+0, WAB = A[0+2d2d]WBC = A[d2(-d)+0], WCD = A[0+0]W = 0 + 2Ad3-Ad3+0 = Ad3
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The work done by the force = F→ = A(y2i^+2x2j^) , where A is a constant and x and y are in meters around the path shown is: