A flat-bottomed barge at a depth of 1.8 m from the water level in the river and received a hole

A flat-bottomed barge at a depth of 1.8 m from the water level in the river and received a hole with a cutting area of 200 cm. With what force you need to press on the board with the hole closed in order to contain the pressure of water.

Pressure P of fluid with density ρ at depth h:

P = ρ * g * h, where g is the acceleration due to gravity.

The force F with which it is necessary to press on the board is proportional to the area of the hole S and the pressure P:

F = P * S = ρ * g * h * S = 1000 kg / m ^ 3 * 10 m / s ^ 2 * 1.8 m * 0.02 m ^ 2 = 360 N.

Answer: 360 N.



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