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The work done by the force = $\vec{F} = A (y^{2} \hat{i} + 2 x^{2} \hat{j})$ , where A is a constant and x and y are in meters around the path shown is:

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Correct option is D

∫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:

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Ready to Test Your Skills?

free study material

The work done by the force = $\vec{F} = A (y^{2} \hat{i} + 2 x^{2} \hat{j})$ , where A is a constant and x and y are in meters around the path shown is: