Determine the area of the wall of the aquarium if a force of 500 N acts on it from the side

Determine the area of the wall of the aquarium if a force of 500 N acts on it from the side of the water. The height of the wall of the vessel is 50 cm.

Initial data: F (force that acts on the wall of the aquarium) = 500 N; h (aquarium wall height) = 50 cm (0.5 m).

Reference data: g (acceleration due to gravity) ≈ 10 m / s2; ρ (density of water in the aquarium) = 1000 kg / m3.

1) Determine the pressure that water creates on the wall of the aquarium: P = ρ * g * h = 1000 * 10 * 0.5 = 5000 Pa.

2) Calculate the area of the wall of the aquarium: P = F / S, whence S = F / P = 500/5000 = 0.1 m2.

Answer: The wall area of the aquarium is 0.1 m2.