The potential energy function of a particle in the \( x-y \) plane is given by \( U=k(x+y) \), w...

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The potential energy function of a particle in the \( x-y \) plane is given by \( U=k(x+y) \), where \( k \) is a constant. The work done by the conservative force in moving a particle from \( (1,1) \) to \( (2,3) \) is
\( \mathrm{P} \)
(a) \( -3 k \)
(b) \( +3 k \)
(c) \( k \)
(d) None of these
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