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Compute the work which must be performed...

Compute the work which must be performed to slowly pump the water out of a hemispherical reservoir of radius `R=0.6m`.

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Computer the work which must be performed to slowly pump the water out of a hemispherical reservoir of radius R=0.6m .

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Knowledge Check

  • A small block of mass m os takes slowly up a fixed hemisphere from P to Q and then slowly down along its surface from Q to S by force F , which at each point of the surface, is tangential to the surface. If the coefficient of friction is mu , then the work performed by the force F in taking the block from P to S along the hemispherical surface of radius R is :

    A
    `2mu mgR`
    B
    `mu mgR`
    C
    `pi mu mgR`
    D
    None of these

  • The amount of work done in pumping water out of a cubical vessel of height 1 m is nearly

    A
    5000 J
    B
    10000 J
    C
    50 J
    D
    10 J

  • The amount of work done in pumping water out of a cubical vessel of height 1 m is nearly ( g = 10 ms^(-2))

    A
    10 J
    B
    50 J
    C
    500 J
    D
    5000 J

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    Calculate the gravitational field intensity at the centre of the base of a hollow hemisphere of mass M and radius R . (Assume the base of hemisphere to be open)

    Calculate the gravitational potential at the centre of base of a solid hemisphere of mass M , radius R .

    Find the work to be performed in order to blow a soap bubble of radius R if the outside air pressure is equal to p_0 and the surface tension of the soap water solution is equal to alpha .

    Water is flowing out at the rate of 6(m^(3))/(min) from a reservoir shaped like a hemispherical bowl of radius R=13m. The volume of water in the hemispherical bowl is given by V=(pi)/(3)*y^(2)(3R-y) when the water is y meter deep.Find

    A fresh water on a reservoir is 10m deep. A horizontal pipe 4.0 cm in diameter passes through the reservoir 6.0 m below the water surface as shown in figure . A plug secures the pipe opening. . (a) Find the friction force between the plug and pipe wall. (b) The plug is removed. What volume of water flows out of the pipe in 1h ? Assume area of reservoir to be too large.

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