A tank with a square base of area 1.0 m2 is divided by a vertical partition in the middle. The bottom of the partition has a small-hinged door of area 20 cm2 . The tank is filled with water in one compartment and an acid (of relative density 1.7) in the other, both to a height of 4.0 m. Compute the force necessary to keep the door closed.

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55 N

48 N

64 N

36 N

answer is A.

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Detailed Solution

Difference in pressure,=hg(ρa−ρw)=4×9.81.7×1000-1000 = 27.4×103 N/m2F=(Pa−Pw)A=27.4×103×20×10-4 =55 N

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