A tank with a square base of area `1.0m^(2)` is divided by a vertical parition in the middle. The bottom of the partition has a small hinged door of area `20cm^(2)`. The tank is filled with water and an acid (of relative density 1.7) in the other, both to a height of `4.0m`. Compute to force necessary the force nec cessary to keep the door closed.

Explanation

Pressure difference across the door
`=(4xx1700xx9.8-4xx1000xx9.8)Pa`
`(6.664xx10^(4)-3.92xx10^(4))Pa=2.774xx10^(4)Pa`
force on the door=pressure difference `xx` area of door
`=2.774xx10^(4)xx20xx10^(-4)N`
`=54.88N=55N`