GATE Mechanical Engineering (ME) 2018 Shift 1 Solved Paper

A solid block of 2.0 kg mass slides steadily at a velocity V along a vertical wall as shown in the figure below. A thin oil film of thickness h=0.15mm provides lubrication between the block and the wall. The surface area of the face of the block in contact with the oil film is $0.04{\mathit{m}}^2$. The velocity distribution within the oil film gap is linear as shown in the figure. Take dynamic viscosity of oil as $7\times {10}^{-3}\mathit{P}\mathit{a}$-s and acceleration due to gravity as $10\mathit{m}/{\mathit{s}}^2$ Neglect weight of the oil. The terminal velocity $\mathit{V}\left(\mathit{i}\mathit{n}\mathit{m}/\mathit{s}\right)$ of the block is____________ (correct to one decimal place).