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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/ sec2 in positive x-direction. Find the force exerted by fluid on the surface AB of the cylinder in decanewton. Take area of cross-section of cylinder to be 0.01 m2 and neglect atmospheric pressure (1 decanewton =10 N).

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answer is 5.

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Detailed Solution

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
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