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A cylindrical container with a massless and frictionless piston is filled with water up to a height of h, as shown in the schematic. What mass m should be placed on the piston so that the water flow rate through the opened valve doubles? Consider that piston area A1 = 0.05 m2, valve area A2 = A1/8, h= 0.9 m, rho water = 1000 kg/m3, and g = 9.80 m/s2.