Physics

Problem

A piston of mass

m = 50\,\text{kg}

and area

A = 0.01\,\text{m}^{2}

is placed on the surface of water in a vertical cylinder. The cylinder is filled with water, and a small hole is opened at a depth of

50\,\text{cm}

below the piston. Determine the speed of water efflux, neglecting atmospheric pressure differences. (Assume the piston slides without friction,

g = 10\,\text{m/s}^{2}

, density

= 1000\,\text{kg/m}^{3}