A particle is moved along a path $A B-B C-C D-D E-$ $E F-F A$, as shown in figure, in presence of a

Question

A particle is moved along a path $A B-B C-C D-D E-$ $E F-F A$, as shown in figure, in presence of a force $\vec{F}=(\alpha y \hat{i}+2 \alpha x \hat{j}) \mathrm{N}$, where $x$ and $y$ are in meter and $\alpha=-1 \mathrm{Nm}^{-1}$. The work done on the particle by this force $\vec{F}$ will be $\qquad$ Joule.\

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