Crying can be dangerous

Classical Mechanics Level pending

A girl named Anjali always cries for some or the other reason such as not getting her sheet back or taking her bag without permission One day I thought of having all the tears from her eyes collected in a long cylindrical tank of cross section area 0.5 m 2 m^{2} . It has a small hole at a height 50 c m cm from the bottom. A movable piston of cross-sectional area almost equal to 0.5 m 2 m^{2} is fitted on the top of tank such that it can slide in the tank freely. A load of 20 k g 20kg is applied on the top of the collected tears by piston. Calculate the speed in m / s e c m/sec of tear jet with which it hits the surface when piston is 1 m 1m above the bottom.( Ignore the mass of piston).

N o t e : Note: The tears collected are equivalent to water. g g = 9.8 m / s e c 2 m/sec^{2}

Suppose your ans. is z m / s e c m/sec Then find [ m ] [m] . Where [ . ] [.] denotes greatest integer function


The answer is 4.

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