Solve Problem 4.107 if the vane and slider ride on a film of oil instead of sliding in contact with the surface. Assume motion resistance is proportional to speed, \(F_{R}=k U\), with \(k=7.5 \mathrm{~N} \cdot \mathrm{s} / \mathrm{m}\).

Data From Problem 4.107

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4.107 A vane/slider assembly moves under the influence of a liquid jet as shown. The coefficient of kinetic friction for motion of the slider along the surface is = 0.30. Calculate the terminal speed of the slider. p = 999 kg/m V = 20 m/s U A = 0.005 m M = 30 kg H = 0.30 P4.107, P4.109, P4.114, P4.115