  We consider the flat flow solutions of the mean curvature equation with a
forcing term in the plane. We prove that for every constant forcing term the
stationary sets are given by a finite union of disks with equal radii and
disjoint closures. On the other hand for every bounded forcing term tangent
disks are never stationary. Finally in the case of an asymptotically constant
forcing term we show that the only possible long time limit sets are given by
disjoint unions of disks with equal radii and possibly tangent.
