Particle Motion, Density, and Mass

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Questions and Answers

In the context of particle theory, which statement best describes the behavior of particles when temperature increases?

  • Particles slow down and move closer together.
  • Particles move faster and further apart. (correct)
  • Particles maintain the same speed and distance.
  • Particles stop moving.

Which of the following accurately describes the relationship between mass, volume, and density?

  • Density is the volume divided by mass.
  • Density is independent of mass and volume.
  • Density is the product of mass and volume.
  • Density is the mass divided by volume. (correct)

If a substance has a density of $5 g/cm^3$ and a volume of $10 cm^3$, what is its mass?

  • 50 g (correct)
  • 2 g
  • 0.5 g
  • 15 g

How does the mass of an object typically change when it is moved from Earth to the Moon?

<p>The mass remains the same because mass is independent of gravity. (A)</p> Signup and view all the answers

What is the weight of an object with a mass of 20 kg on a planet where the acceleration due to gravity is $4 m/s^2$?

<p>80 N (D)</p> Signup and view all the answers

A graduated cylinder contains 50 mL of water. After a rock is submerged, the water level rises to 65 mL. What is the volume of the rock?

<p>15 mL (D)</p> Signup and view all the answers

What is the primary reason a boat can float, according to the principles of buoyancy?

<p>The boat's weight is less than the weight of the water it displaces. (D)</p> Signup and view all the answers

Which of the following best describes buoyancy?

<p>The upward force exerted by a fluid that opposes the weight of an immersed object. (D)</p> Signup and view all the answers

Why are gases more compressible than liquids?

<p>Gas particles are much farther apart than liquid particles. (D)</p> Signup and view all the answers

What happens to the volume of a gas during compression?

<p>The volume decreases. (A)</p> Signup and view all the answers

In a hydraulic system, what is the role of the fluid?

<p>To transmit force. (D)</p> Signup and view all the answers

Which of the following is a key component of both pneumatic and hydraulic systems?

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

What principle does Pascal's Law describe regarding fluid systems?

<p>The equal distribution of pressure throughout a fluid. (A)</p> Signup and view all the answers

What properties are important in fluids used in hydraulic system?

<p>Incompressibility (C)</p> Signup and view all the answers

Consider a $5 cm^3$ metal cube with a mass of 50 grams. Will it sink or float in water (density 1 $g/cm^3$)?

<p>Sink (C)</p> Signup and view all the answers

How does the shape of a boat contribute to its ability to float?

<p>Allows it to displace a greater volume of water. (D)</p> Signup and view all the answers

If the temperature of a gas in a closed container is increased, what happens to the motion of the gas particles?

<p>They speed up. (C)</p> Signup and view all the answers

A gas occupies a volume of 10 liters at a certain pressure. If the pressure is doubled while keeping the temperature constant, what will happen to the volume of the gas?

<p>The volume will be halved to 5 liters. (D)</p> Signup and view all the answers

In a hydraulic lift, a small force is applied to a small piston. How is it possible for the lift to raise a much heavier object on a larger piston?

<p>The fluid multiplies the force. (C)</p> Signup and view all the answers

What type of system uses compressed air to transmit force?

<p>Pneumatic system (C)</p> Signup and view all the answers

Flashcards

Particle Theory

Matter is made of particles in constant motion with gaps between them; temperature affects particle speed, and pure substances have uniform particles.

Density

Mass per unit volume; indicates how tightly packed the particles are in a substance.

Mass

The quantity of matter in an object, measured in grams (g). It remains constant regardless of location.

Mass Formula

Calculating mass using density and volume.

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Weight

Force on an object due to gravity, measured in Newtons (N); varies with gravitational acceleration.

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Volume

Amount of 3D space an object occupies (m³ or L).

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Buoyancy

Upward force exerted by a fluid that opposes the weight of an immersed object.

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Compression

When the volume of a gas decreases due to applied pressure.

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Pneumatic System

Uses compressed air to transmit force.

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Hydraulic System

Uses liquids to transmit force, liquids are nearly incompressible.

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Pascal's Law

Pressure applied to a fluid is equally distributed throughout the fluid.

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Study Notes

  • Matters are made of particles
  • Particle Theory describes why matters behave the way they do

Particle Motion

  • Particles are always in motion, even in solids where they vibrate
  • Particles have gaps and do not touch
  • Particles move faster when temperature rises
  • All particles in a pure substance are the same
  • Different substances are made of various particles

Density

  • Density refers to the amount of mass in an object per volume
  • The higher the particle density in an object, the greater the overall density
  • Density is calculated by dividing mass by volume: D = M/V
  • A cube with a volume of 20 cm^3 and a mass of 40 kg has a density of 2 kg/cm^3 (D = 40 kg / 20 cm^3)

Mass

  • Mass refers to the amount of matter in an object, measured in grams (g)
  • Mass remains constant regardless of the environment
  • Mass is calculated by multiplying density by volume: M = D x V
  • If Arshan has a density of 0.3kg/cm^3 and a volume of 300 cm^3, then his mass is 90kg: M = 0.3kg/cm^3 x 300 cm^3

Weight

  • Weight is the acceleration due to gravity acting on an object
  • Weight is measured in Newtons (N)
  • Mass remains constant, but weight changes based on gravitational acceleration in different locations
  • Weight is calculated by multiplying mass by gravity: W = M x G
  • If Arshan has a mass of 60 kg and the acceleration of gravity on Uranus is 8.87m/s^2, then his weight is 532.2 N: W = 60 kg x 8.87 m/s^2

Volume

  • Volume refers to the amount of space an object occupies (m^3 or L)
  • Volume calculation depends on the object's shape
  • To find the volume of an irregular shape:
    • Fill a graduated cylinder with water and record the initial volume
    • Submerge the object completely and record the new volume
    • The difference between the two volumes is the object's volume
  • If a cylinder with an initial water volume of 35L has its volume reduced to 33.1L after submerging a Rubik's cube the volume of the Rubik's cube is 1.9L: V = 35L - 33.1L

Buoyancy

  • Buoyancy is the upward force exerted by a fluid that opposes the weight of an object
  • If an object's density is greater than the fluid, it sinks (negatively buoyant)
  • An object floats (positively buoyant) if its density is lower than the fluid
  • Buoyant Force is equivalent to the Weight of Displaced Fluid
  • Boats float due to their shape, displacing water to increase buoyant force and having hollow areas to decrease density

Compression

  • Compression occurs when the volume of a gas decreases due to applied pressure
  • Gases compress more easily than liquids because they are less dense

Pneumatic Systems

  • Systems use compressed air to transmit force, such as in air brakes

Hydraulic Systems

  • Systems use liquids to transmit force, such as in car brakes
  • Liquids are nearly incompressible, making these systems effective
  • Components of hydraulic systems include pumps, cylinders, and valves

Pascal's Law

  • Pascal’s Law states that pressure applied to one side of a fluid system is distributed equally throughout the fluid
  • This law applies to both hydraulic and pneumatic systems

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