Fluids Part I

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Questions and Answers

What are the phases of matter?

The phases of matter are solids, liquids, and gases.

A fluid is simply a substance that flows.

True (A)

Liquids are compressible.

False (B)

Gases are compressible because their molecules are far apart.

<p>True (A)</p> Signup and view all the answers

What is the formula for mass density?

<p>ρ = m/V</p> Signup and view all the answers

The SI unit of mass density is:

<p>kg/m³ (A)</p> Signup and view all the answers

Why do cubes of the same size and shape have different masses?

<p>They are made of different materials. (B)</p> Signup and view all the answers

Which of these is true about the mass density of a substance?

<p>It is a characteristic property of the substance. (B)</p> Signup and view all the answers

Which of the following fluids typically has the LOWEST density at room temperature?

<p>Air (B)</p> Signup and view all the answers

The mass density of a piece of glass is the same regardless of its size.

<p>True (A)</p> Signup and view all the answers

A piece of glass is broken into two pieces of different sizes. The mass densities of the two pieces are:

<p>The same. (B)</p> Signup and view all the answers

Gases are compressible. This means that:

<p>The volume and the density of a gas can be changed easily. (B)</p> Signup and view all the answers

The pressure at a given point in a fluid is the ratio of the force to the area on which the force is exerted.

<p>True (A)</p> Signup and view all the answers

What is the Si unit of pressure?

<p>Pascal (Pa)</p> Signup and view all the answers

Pressure in a fluid is exerted only at the bottom of the container, not on its walls.

<p>False (B)</p> Signup and view all the answers

The pressure exerted by a fluid at a certain depth is the same regardless of the direction.

<p>True (A)</p> Signup and view all the answers

In a liquid, the pressure increases linearly with depth.

<p>True (A)</p> Signup and view all the answers

In a gas, the pressure is nearly the same at all points in a room-sized container.

<p>True (A)</p> Signup and view all the answers

The force of gravity is the main factor responsible for the pressure in the liquid.

<p>True (A)</p> Signup and view all the answers

In a liquid at rest, the horizontal forces cancel each other out.

<p>True (A)</p> Signup and view all the answers

In a liquid at rest, the vertical forces are not balanced.

<p>False (B)</p> Signup and view all the answers

What is the formula for the hydrostatic pressure in a liquid at a depth d?

<p>p = p₀ + ρgd</p> Signup and view all the answers

Hydrostatic pressure is a consequence of the fluid being at rest.

<p>True (A)</p> Signup and view all the answers

The hydrostatic principle states that the pressure at any given point in a connected liquid at rest is the same.

<p>False (B)</p> Signup and view all the answers

Pascal's principle is applicable to both compressible and incompressible fluids.

<p>False (B)</p> Signup and view all the answers

If the pressure at one point in an incompressible fluid is changed, what happens to the pressure at every other point in the fluid?

<p>The pressure at every other point in the fluid changes by the same amount. (C)</p> Signup and view all the answers

A connected liquid in hydrostatic equilibrium rises to:

<p>The same height in all open regions of the container. (D)</p> Signup and view all the answers

In a connected liquid in hydrostatic equilibrium, the pressure is the same at all points in a horizontal line.

<p>True (A)</p> Signup and view all the answers

If the pressure at the surface of a liquid is increased, what happens to the pressure at a point at a depth d?

<p>It increases by an amount equal to the increase in surface pressure. (E)</p> Signup and view all the answers

Which of the following would experience the HIGHEST pressure?

<p>Point A at the bottom of a container filled with water. (C)</p> Signup and view all the answers

If you dive underwater, you notice an uncomfortable pressure on your eardrum due to the increased pressure. The human eardrum has an area of about 70 mm², and it can sustain a force of about 7 N without rupturing. What is the maximum depth you could dive without rupturing your eardrum? (Pwater = 1000 kg/m³)

<p>0.3 m</p> Signup and view all the answers

The pressure at the bottom of a tall cylinder filled with water is the same as the pressure at the bottom of a shorter cylinder filled with water to the same depth.

<p>True (A)</p> Signup and view all the answers

Flashcards

Fluid

A substance that flows and takes the shape of its container. Includes liquids and gases.

Density

Mass per unit volume.

Mass Density SI Units

Kilograms per cubic meter (kg/m³).

Density of Solids, Liquids, Gases

Solids have the highest densities, followed by liquids, and then gases.

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Compressibility of Gases vs. Liquids

Gases are compressible (their volume can be easily changed), while liquids are not.

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Pascal's Principle

A change in pressure applied to an enclosed fluid is transmitted undiminished to every portion of the fluid and to the walls of its container.

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Fluid Pressure

Force per unit area exerted by a fluid.

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Hydrostatic Pressure

Pressure exerted by a fluid that is at rest.

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Pressure Unit (SI)

Pascal (Pa), equal to 1 N/m².

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Pressure in a Fluid

Pressure at a given point in a fluid is dependent on depth. The deeper the point, the higher the pressure.

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Hydrostatic Equilibrium

Pressure is same at all points in a horizontal line through a connected fluid.

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Gauge Pressure

Pressure difference between absolute pressure and atmospheric pressure.

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Mass Density Property

Mass density of an object is a constant characteristic property, regardless of its shape or size.

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Study Notes

Fluids Part I

  • Fluids are substances that flow, taking the shape of their container. Fluids include liquids and gases.
  • Gases are compressible, meaning their volume can change easily due to their molecules being far apart with weak bonds.
  • Liquids are incompressible, their molecules are close together with strong bonds making their volume largely constant.
  • Mass density is the ratio of mass to volume. Its SI unit is kg/m³.
  • Gases have lower densities than liquids and solids because their molecules are further apart.
  • The pressure at a given point in a fluid is the ratio of the force to the area on which the force is exerted. (P=F/A).
  • The SI unit of pressure is the pascal (Pa), defined as 1 N/m².
  • Fluid pressure pushes on all parts of the fluid and the container walls.
  • Pressure in a fluid increases with depth. This pressure is called hydrostatic pressure.
  • The hydrostatic pressure equation: p = po + pgd, where p is pressure at depth, po is atmospheric pressure, ρ (rho) is density of the fluid, g is acceleration due to gravity, and d is depth.
  • In hydrostatic equilibrium, pressure is the same at all points on a horizontal line within a connected fluid.
  • Pascal's principle states that if the pressure at one point in an incompressible fluid is changed, the pressure at every other point in the fluid changes by the same amount.

Learning Objectives

  • Students will be able to discuss the densities of solids, liquids, and gases.
  • Students will be able to explain Pascal's principle.

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