Question: A force field in the plane is described by the relation (F_{x}=F_{o} x^{k} ; F_{y}=F_{o} y^{k}), with (k) and (F_{o}) real constants. For what values

A force field in the plane is described by the relation \(F_{x}=F_{o} x^{k} ; F_{y}=F_{o} y^{k}\), with \(k\) and \(F_{o}\) real constants. For what values of \(k\) and \(F_{o}\) is the field central? Is it a conservative field?

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