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A large wooden plate of area 10 m^{2} floating on the surface

Question

A large wooden plate of area $10 m^{2}$ floating on the surface of a river is made to move horizontally with a speed of $2 m / s$ by applying a tangential force. River is $1 m$ deep and the water in contact with the bed is stationary. Then choose correct statement. (coefficient of viscosity of water $= 1 0^{- 3} N - s / m^{2})$

velocity gradient is

2 s^{- 1}

velocity gradient is

- 1 s^{- 1}

force required to keep the plate moving with constant speed is

0.02 N

force required to keep the plate moving with constant speed is

0.01 N

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Benjamin Discussed

A large wooden plate of area

10 m^{2}

floating on the surface of a river is made to move horizontally with a speed of

2 m / s

by applying a tangential force. River is

1 m

deep and the water in contact with the bed is stationary. Then choose correct statement. (coefficient of viscosity of water

= 1 0^{- 3} N - s / m^{2})

8 mins ago

Discuss this question LIVE

8 mins ago

Text solutionVerified

Velocity gradient

= \frac{Δ v}{Δ h} = \frac{2 m / s}{1 m} = 2 s^{- 1}

F = η A \frac{Δ v}{Δ h}

= (1 0^{- 3}) (10) (2)

= 0.02

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Question Text	A large wooden plate of area $10 m^{2}$ floating on the surface of a river is made to move horizontally with a speed of $2 m / s$ by applying a tangential force. River is $1 m$ deep and the water in contact with the bed is stationary. Then choose correct statement. (coefficient of viscosity of water $= 1 0^{- 3} N - s / m^{2})$
Answer Type	Text solution:1
Upvotes	150