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Three large plates are separated by thin layers of ethylene glycol and water, as shown in the figure below. The top plate moves to the right at $V_1=7\frac{m}{s}.$ Viscosities of water and ethylene glycol at $20C$ are $1\mathrm{.}00{10}^{-3}N*\frac{s}{m^2}$ and $1\mathrm{.}99{10}^{-2}N*\frac{s}{m^2},$ respectively.

At what speed and in what direction must the bottom plate be moved to hold the center plate stationary? Assume that positive direction is to the right.

$V_2=\frac{m}{s}$