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  4. A cylinder fitted with piston as shown in figure. The cylinder is filled with water and is taken to a place where there is no gravity. Mass of the piston is 50 kg. The system is accelerated with acceleration 0.5 m / sec 2 in positive x-direction. Find the force exerted by fluid on the surface A B of the cylinder in decanewton. Take area of cross-section of cylinder to be 0.01 m 2 and neglect atmospheric pressure (1 decanewton =10 N ).

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Q. A cylinder fitted with piston as shown in figure. The cylinder is filled with water and is taken to a place where there is no gravity. Mass of the piston is $50\, kg$. The system is accelerated with acceleration $0.5\, m / \sec ^{2}$ in positive $x$-direction. Find the force exerted by fluid on the surface $A B$ of the cylinder in decanewton. Take area of cross-section of cylinder to be $0.01\, m ^{2}$ and neglect atmospheric pressure $(1$ decanewton $=10\,N )$.Physics Question Image

Mechanical Properties of Fluids

Solution:

Force due to piston $=50 \times 0.5=25\, N$
Force due to fluid $=(\rho a h) A=A(1000 \times 5 \times 0.5)$
$=2500\, Pa \times 0.01\, m ^{2}=25\, N$
Force on the surface $A B=50\, N =5$ decanewton