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 ).

Question

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 ). (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Force due to piston =50 × 0.5=25 N Force due to fluid =(ρ a h) A=A(1000 × 5 × 0.5) =2500 Pa × 0.01 m 2=25 N Force on the surface A B=50 N =5 decanewton

Force due to piston =50×0.5=25N Force due to fluid =(ρah)A=A(1000×5×0.5) =2500Pa×0.01m2=25N Force on the surface AB=50N=5 decanewton

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