A metal block of base area is placed on a table, as shown in the figure. A liquid film of thickness 0.25 mm is inserted between the block and the table. [2023]

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Solution

Q.
A metal block of base area $0.20 m^{2}$ is placed on a table, as shown in the figure. A liquid film of thickness 0.25 mm is inserted between the block and the table. The block is pushed by a horizontal force of 0.1 N and moves with a constant speed. If the viscosity of the liquid is $5.0 \times 10^{- 3}$ poiseuille, the speed of the block is _______ $\times 10^{- 3} m/s$ . [2023]

Ans.
(25)

$| F |$ $= η A \frac{Δ v}{Δ h}$ : $0.1 = 5 \times 10^{- 3} \times 0.2 \times \frac{v}{0.25 \times 10^{- 3}}$

$v = 0.025 m/s or v = 25 \times 10^{- 3} m/s$

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