Each wall of the aquarium is 50 cm high and 40 cm wide Find the force of water pressure on the square

Each wall of the aquarium is 50 cm high and 40 cm wide Find the force of water pressure on the square bottom of the aquarium if the aquarium is half full of water.

h = 50 cm = 0.5 m.

a = 40 cm = 0.4 m.

g = 10 m / s2.

ρ = 1000 kg / m3.

F -?

Pressure P is the ratio of the force F to the area S on which this force acts: P = F / S.

F = P * S.

The hydrostatic pressure of the liquid at the bottom is determined by the formula: P = ρ * g * h. Where ρ is the density of the liquid, g is the acceleration of gravity, h is the height of the liquid.

Since the aquarium is half full h / 2, then P = ρ * g * h / 2.

The area of the bottom of the aquarium S is found as the area of a square with side a: S = a ^ 2.

F = a ^ 2 * ρ * g * h / 2.

F = (0.4 m) ^ 2 * 1000 kg / m3 * 10 m / s2 * 0.5 m / 2 = 400 N.

Answer: water acts on the bottom of the aquarium with a force of F = 400 N.