The weight of a thin flat plate 50 cm * 50 cmin size is balanced by a counterweight that has a mass of2 kg. Now a fan is turned on,and air at 1 atm and 25°C flows downward over bothsurfaces of the plate (front and back in the sketch) with afree-stream velocity of 10 m/s. Determine the mass of thecounterweight that needs to be added in order to balancethe plate in this case.

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