A flat plate with a surface area of \(0.25 \mathrm{~m}^{2}\) moves above a parallel flat surface with a lubricant film of thickness \(1.5 \mathrm{~mm}\) in between the two parallel surfaces. If the viscosity of the lubricant is \(0.5 \mathrm{~Pa}\)-s, determine the following:

a. Damping constant.

b. Damping force developed when the plate moves with a velocity of \(2 \mathrm{~m} / \mathrm{s}\).