Question

metal cube with the surface area of 0.01m? is fully submerged in the pond (figure 1).Calculate the total force due to pressure on a submerged metal cube.

Answer 1

1176 N

Step-by-step explanation:

The pressure on the submerged metal cube can be calculated as

P = ρgh

Where ρ is the density of the water, g is the gravity and h is depth.

Replacing ρ = 1000kg/m³, g = 9.8 m/s², and h = 12 m, we get:

P = (1000kg/m³)(9.8 m/s²)(12 m)

P = 117600 Pa

Additionally, the pressure is also equal to the force divided by the area, so

P = F/A ---> F = PA

So, replacing P = 117600 Pa and the area A =0.01m², we get:

F = (117600 Pa)(0.01 m²)

F = 1176 N

Therefore, the total force due to pressure is 1176 N