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 \(m^{2}\). It has a small hole at a height 50\(cm\) from the bottom. A movable piston of cross-sectional area almost equal to 0.5 \(m^{2}\) is fitted on the top of tank such that it can slide in the tank freely. A load of \(20kg\) is applied on the top of the collected tears by piston. Calculate the speed in \(m/sec\) of tear jet with which it hits the surface when piston is \(1m\) above the bottom.( Ignore the mass of piston).

\(Note:\) The tears collected are equivalent to water. \(g\) = 9.8\(m/sec^{2}\)

Suppose your ans. is z \(m/sec\) Then find \([m]\). Where \([.]\) denotes greatest integer function

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