(A) The force exerted by the water on the palm is equal to the rate of change of momentum of the water.$F = \frac{dp}{dt} = v \frac{dm}{dt}$Since the

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(A) The force exerted by the water on the palm is equal to the rate of change of momentum of the water.$F = \frac{dp}{dt} = v \frac{dm}{dt}$Since the mass flow rate $\frac{dm}{dt} = A \rho v$,where $A$ is the cross-sectional area,$\rho$ is the density,and $v$ is the velocity.Substituting this into the force equation:$F = v(A \rho v) = A \rho v^2$Given values: $v = 1.5\, ms^{-1}$,$A = 10^{-2}\, m^2$,$\rho = 10^3\, kgm^{-3}$.$F = 10^{-2} \times 10^3 \times (1.5)^2$$F = 10 \times 2.25 = 22.5\, N$.

Class 11 Physics Fluid Mechanics and Surface Tension Force due to Liquid in pipe

Medium

Water is flowing at a speed of $1.5\, ms^{-1}$ through a horizontal tube of cross-sectional area $10^{-2}\, m^2$ and you are trying to stop the flow by your palm. Assuming that the water stops immediately after hitting the palm,the minimum force that you must exert should be ......... $N$ (density of water $= 10^3\, kgm^{-3}$)

JEE MAIN 2014 All JEE MAIN

A
$22.5$
B
$15$
C
$33.7$
D
$45$

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Class 11

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Fluid Mechanics and Surface Tension

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Force due to Liquid in pipe

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$A$ tube of length $L$ is filled completely with an incompressible liquid of mass $M$ and closed at both the ends. The tube is then rotated in a horizontal plane about one of its ends with a uniform angular velocity $\omega$. The force exerted by the liquid at the other end is

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$A$ jet of water with a cross-section of $6 \ cm^2$ strikes a wall at an angle of $60^{\circ}$ to the normal and rebounds elastically from the wall without losing energy. If the velocity of the water in the jet is $12 \ m/s$,the force acting on the wall is ....... $N$.

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$A$ large vessel of height $H$ is filled with a liquid of density $\rho$ up to the brim. $A$ small hole of radius $r$ is made at the side vertical face,close to the base. The horizontal force required to stop the gushing of liquid is ...........

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$A$ uniformly tapering vessel is filled with a liquid of density $900 \, kg/m^3$. The force that acts on the base of the vessel due to the liquid is ......... $N$. $(g = 10 \, m/s^2)$

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$A$ jet of water having velocity $v = 10 \ m/s$ and stream cross-section $A = 2 \ cm^2$ hits a flat plate perpendicularly,with the water splashing out parallel to the plate. The plate experiences a force of ....... $N$.

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$A$ tube of length $L$ is filled completely with an incompressible liquid of mass $M$ and closed at both the ends. The tube is then rotated in a horizontal plane about one of its ends with a uniform angular velocity $\omega$. The force exerted by the liquid at the other end is

$A$ jet of water with a cross-section of $6 \ cm^2$ strikes a wall at an angle of $60^{\circ}$ to the normal and rebounds elastically from the wall without losing energy. If the velocity of the water in the jet is $12 \ m/s$,the force acting on the wall is ....... $N$.

$A$ large vessel of height $H$ is filled with a liquid of density $\rho$ up to the brim. $A$ small hole of radius $r$ is made at the side vertical face,close to the base. The horizontal force required to stop the gushing of liquid is ...........

$A$ uniformly tapering vessel is filled with a liquid of density $900 \, kg/m^3$. The force that acts on the base of the vessel due to the liquid is ......... $N$. $(g = 10 \, m/s^2)$

$A$ jet of water having velocity $v = 10 \ m/s$ and stream cross-section $A = 2 \ cm^2$ hits a flat plate perpendicularly,with the water splashing out parallel to the plate. The plate experiences a force of ....... $N$.

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