Answer :
To calculate the total force acting on one side of the plate, we need to consider the pressure acting on the plate due to the water.
The pressure at a depth h below the surface of a liquid is given by the formula:
P = ρgh
Where:
P = pressure
ρ = density of the liquid (1000 kg/m^3 for water)
g = acceleration due to gravity (9.81 m/s^2)
h = depth below the surface
In this case, the depth below the surface is 0.75m, so the pressure acting on the plate due to the water is:
P = 1000 * 9.81 * 0.75
P = 7357.5 Pa
Now, we need to calculate the total force acting on one side of the plate. This force is equal to the pressure times the area of the side of the plate that is submerged in the water.
The area of the side of the plate that is submerged is:
Area = length * depth
Area = 1.8 * 0.75
Area = 1.35 m^2
Therefore, the total force acting on one side of the plate is:
Force = Pressure * Area
Force = 7357.5 * 1.35
Force = 9924.375 N
Therefore, the total force acting on one side of the plate is 9924.375 N.
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