A force \( \vec{F}=-K(y \hat{i}+x \hat{j}) \) where \( K \) is a po...

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A force \( \vec{F}=-K(y \hat{i}+x \hat{j}) \) where \( K \) is a positive constant, acts on a particle moving in the \( x-y \) plane. Starting from the origin, the particle is taken along the positive \( x \)-axis to the point \( (a, 0) \) and then parallel
\( \mathrm{P} \)
(A) \( -2 \mathrm{Ka}^{2} \)
(B) \( 2 \mathrm{Ka}^{2} \)
(C) \( -\mathrm{Ka}^{2} \)
(D) \( \mathrm{Ka}^{2} \)
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