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Find the minimum force required to drag a hard polythene plate

Question

Find the minimum force required to drag a hard polythene plate of area 2 $m^{2}$ on a thin film of oil of thickness 0.25 cm and $η$ = 15 poise. Assume the speed of the plate is 10 cm $s^{- 1} .$

F = 5.2 \times 1 0^{7} d y n e

F = 4.2 \times 1 0^{7} d y n e

F = 3.2 \times 1 0^{7} d y n e

F = 1.2 \times 1 0^{7} d y n e

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Theodore Discussed

Find the minimum force required to drag a hard polythene plate of area 2

m^{2}

on a thin film of oil of thickness 0.25 cm and

η

= 15 poise. Assume the speed of the plate is 10 cm

s^{- 1} .

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Text solutionVerified

Area of plate

= 2㎡

Thickness of film

= 0.25㎝ = 0.25 \times 10^{- 2} m

η = 1.5

poise

= 1.5

Speed of plate

= 10㎝ s^{- 1} = 10 \times 10^{- 2} m s^{- 1}

F = η A (\frac{d V}{d x})

= \frac{1.5 \times 2 \times 10 \times 10 ^{- 2}}{0.25 \times 10 ^{- 2}} N = 120 N

F = 1.2 \times 10^{7}

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Question Text	Find the minimum force required to drag a hard polythene plate of area 2 $m^{2}$ on a thin film of oil of thickness 0.25 cm and $η$ = 15 poise. Assume the speed of the plate is 10 cm $s^{- 1} .$
Answer Type	Text solution:1
Upvotes	150