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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