Question

A wooden block sits on a plate that in turn rests on the surface of a fluid. The plate is partially submerged in the fluid, its area is 0.30 m~. and there is air at mean sea level atmospheric pressure above the block and lawid. It the mass of the block and plate together is 12 kg, what is the pressure P in the fluid just below the plate?

Answer 1

The pressure just below the plate can be determined using the average pressure due to the weight of a fluid equation. In this case, the pressure would be 2940 Pa.

Step-by-step explanation:

The pressure in the fluid just below the plate can be determined using the average pressure due to the weight of a fluid equation, which is given by:

P = h * ρ * g

Where:

• P is the pressure
• h is the height of the fluid
• ρ is the density of the fluid
• g is acceleration due to gravity

In this case, the height of the fluid is the average depth of the plate, which is 0.30 m. The density of the fluid can be assumed to be the same as water, which is approximately 1000 kg/m³. And the acceleration due to gravity is 9.8 m/s². Therefore, the pressure just below the plate is:

P = 0.30 m * 1000 kg/m³ * 9.8 m/s² = 2940 Pa