A small box is placed on a conveyor belt that moves with constant speed \(v_{0}=1~\text{m}/\text{s}\). Due to a technical malfunction, the belts starts moving left and right at constant speed \(v_{0}\) (see the graph below). The coefficient of kinetic friction when the box moves to left, relative to the belt, is \(\mu_{L}=0.4\) and it is \(\mu_{R}=0.3\) when the box moves to the right, relative to the belt. As a result, of this frictional anisotropy, the box moves, on average, to the right. Assume that the conveyor belt is very long, determine the magnitude of the terminal average velocity **in meters per second** of the box (in the laboratory frame of reference).

**Details and assumptions**

Assume that \(g=9.8~\text{m}/\text{s}^{2}\).

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