A hollow rectangular box is filled with a liquid and can be placed in any of the three orientations shown above. In which orientation will the fluid pressure at the bottom of the box be greatest, and why?

Two fluids of densities ρ and 2ρ are layered in a cylindrical container of diameter d, as shown above. The height of each fluid is h, and the pressure at the top of the column is P₀. What is the absolute pressure at the inside surface of the bottom of the container?

A hydraulic press is shown

A force F₁ is applied to Piston₁. This creates a pressure P₁ on Piston₁, which increases the pressure uniformly throughout the much larger oil reservoir and results in a force F₂ on Piston₂. A pressure P₂ is therefore applied to Piston₂ . In the following problems, assume that the radius of Piston₂ ,r₂, is five times that of the radius of Piston₁, r₁.

How does the pressure P₁ compare to P₂

A hydraulic press is shown

A force F₁ is applied to Piston₁. This creates a pressure P₁ on Piston₁, which increases the pressure uniformly throughout the much larger oil reservoir and results in a force F₂ on Piston₂. A pressure P₂ is therefore applied to Piston₂ . In the following problems, assume that the radius of Piston₂ ,r₂, is five times that of the radius of Piston₁, r₁.

If Piston₁ is moved a distance, x₁ by how much will Piston₂ move?

A hydraulic press is shown

F₁ presses down on piston 1 which creates an upward force, F₂ on piston 2.

To increase F₂ by four times, one must

A large rock thrown into a pool of water of uniform density becomes completely submerged and then sinks to the bottom. When is the buoyant force on the rock the greatest?

A block is submerged in a container of liquid and held under the surface of the liquid by a string connected to the bottom of the container, as shown in the figure above. The tension in the string is not zero. How does the buoyant force F_B exerted by the liquid on the block compare to the block’s weight w ?

Three objects are placed in a tank of water, as shown: All of the objects have the same density, a density less than water, but they have different sizes as shown. When the objects are released, which one has the greatest acceleration?

Three objects are placed in a tank ofwater, as shown below. The objects all have the same size, but they have different densities: ρI< ρII< ρIII. All of the densities are less than that of water. If all of the objects are released at the same time, which object reaches the surface first?

The three tanks shown below contain objects of the same size and density at the same depth in each tank. Which object experiences the GREATEST pressure?

Water flows through the pipe shown above. At the larger end, the pipe has diameter D and the speed of the water is v₁, . What is the speed of the water at the smaller end, where the pipe has diameter d

The figure above represents a portion of a blood vessel with circular cross sections. The segment on the left has diameter 1.6 mm, and each of the segments on the right has diameter 0.4 mm. Assume the blood can be treated as an ideal fluid. If blood enters the segment on the left with speed v, at what speed does the blood leave the segments on the right?

The diagram above shows a pipe with an ideal fluid in motion to the right. As the fluid enters region II, which of the following quantities related to the fluid will increase?

I. Pressure

II. Linear speed

III. Volume rate of flow

Water of density 1000 kg/m³ flows at a speed of 3.0 m/s through a section of pipe of radius 0.040 m . The pipe bends upward to 0.25 m above its original height and tapers to a radius of 0.020 m, as shown in the figure above. If the water pressure is 1.50 x 10⁵ Pa in the lower part of the pipe, the water pressure in the upper part of the pipe is most nearly