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The curved wall of a dam is described ...

The curved wall of a dam is described by the equation
`x^(2) = 2y`
The coordinates of point A are (4m,8m) . The width of the dam is 2m and the fluid is water of density ` 1xx10^(3) kg//m^(3)`
Atmospheric pressure is ` 1.0 xx 10^(5)` Pa

The horizontal component of the force applied by the liquid on the surface AB is `(g = 10 ms^(-2))`

A

`4.3 xx 10^(5)N`

B

`6.4 xx10^(5)N`

C

`7.2 xx10^(5)`N

D

`22.4 xx10^(5)`N

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • The curved wall of a dam is described by the equation x^(2) = 2y The coordinates of point A are (4m,8m) . The width of the dam is 2m and the fluid is water of density 1xx10^(3) kg//m^(3) Atmospheric pressure is 1.0 xx 10^(5) Pa the vertical component of the force applied by the liquid on the surface is

    A
    `4.3 xx 10^(5)N`
    B
    `6.4 xx10^(5)N`
    C
    `7.2 xx10^(5)N`
    D
    `12.3 xx10^(5)N`

  • The rms velocity molecules of a gas of density 4 kg m^(-3) and pressure 1.2 xx 10^(5) N m^(-2) is

    A
    `300 ms^(-1)`
    B
    `900 ms^(-1)`
    C
    `120 ms^(-1)`
    D
    `600 ms^(-1)`

  • The r.m.s. velocity of molecules of a gas of density 4 kg m^(-3) and pressure 1.2xx10^(5)Nm^(-2) is

    A
    `900 ms^(-1)`
    B
    `120 m s^(-1)`
    C
    `600 m s^(-1)`
    D
    `300 m s^(-1)`