Physics: Base and Derived Quantities

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Questions and Answers

Which of the following is NOT a base quantity in the International System of Units (SI)?

  • Mass
  • Energy (correct)
  • Time
  • Length

Derived quantities are defined independently and cannot be expressed in terms of base quantities.

False (B)

Name one example of a base quantity.

Length

The SI unit for mass is the ______.

<p>kilogram</p> Signup and view all the answers

What is the derived unit for pressure?

<p>N/m² (D)</p> Signup and view all the answers

Match the following derived quantities with their corresponding formulas:

<p>Speed = Length/Time Force = Mass×Acceleration Pressure = Force/Area Energy = Force×Distance</p> Signup and view all the answers

Base quantities are ______ and cannot be derived from other quantities.

<p>independent</p> Signup and view all the answers

There are exactly 7 base quantities recognized in the SI system.

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

What is a key benefit of using SI units in global trade?

<p>They eliminate confusion and ensure consistency. (B)</p> Signup and view all the answers

SI units are based on the metric system, which simplifies conversions through multiplication and division by powers of ten.

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

Why are SI units essential in technological development?

<p>They ensure standardized measurements for manufacturing and safety.</p> Signup and view all the answers

One benefit of SI units is that they provide a _____ framework applicable across various disciplines.

<p>unified</p> Signup and view all the answers

Match the following key reasons for the importance of SI units to their definitions:

<p>Global Standardization = Facilitates international trade and collaboration Precision and Accuracy = Based on reproducible physical constants Simplifies Conversions = Based on the decimal system Educational Consistency = Common foundation for scientific principles</p> Signup and view all the answers

What is the current definition of a meter based on?

<p>The distance a light beam travels in a specific time frame (D)</p> Signup and view all the answers

SI units are not universally taught in schools around the world.

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

Provide one example of a critical error that could occur due to the lack of SI units.

<p>The Mars Climate Orbiter crash.</p> Signup and view all the answers

What does the position vector represent?

<p>A point's location relative to the origin (B)</p> Signup and view all the answers

Parallel vectors can have different magnitudes but must have the same direction.

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

Define a negative vector.

<p>A vector with the same magnitude as a given vector but opposite in direction.</p> Signup and view all the answers

A vector that represents the shortest path between two points is called a __________ vector.

<p>displacement</p> Signup and view all the answers

Match the following vector types with their definitions:

<p>Equal Vectors = Vectors with same magnitude and direction Orthogonal Vectors = Vectors that are perpendicular to each other Collinear Vectors = Vectors lying along the same line Coplanar Vectors = Vectors that lie in the same plane</p> Signup and view all the answers

Which of the following pairs of vectors are orthogonal?

<p>(1, 0) and (0, 1) (C)</p> Signup and view all the answers

A fixed vector can change its initial point without altering its properties.

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

What defines collinear vectors?

<p>Vectors that lie along the same line or parallel lines.</p> Signup and view all the answers

What temperature scale is primarily used in the United States?

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

Mercury thermometers are more sensitive to small temperature changes than alcohol thermometers.

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

What is the boiling point of water in Celsius?

<p>100</p> Signup and view all the answers

The freezing point of water is 32°F in the ______ scale.

<p>Fahrenheit</p> Signup and view all the answers

Match the temperature scales with their characteristics:

<p>Celsius = 0°C is freezing point of water Fahrenheit = 32°F is freezing point of water Kelvin = 0 K is absolute zero Common Usage = Widely used in daily life and science</p> Signup and view all the answers

Which thermometer type is best for precise readings at high temperatures?

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

The Kelvin scale has the same interval divisions as the Celsius scale.

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

What is the conversion formula from Celsius to Kelvin?

<p>K = C + 273.15</p> Signup and view all the answers

What type of heat transfer does not require a medium?

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

Conduction involves heat transfer through bulk fluid movement.

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

What is the role of the center of gravity (CoG) in the stability of objects?

<p>The CoG affects how weight is distributed, influencing stability and balance.</p> Signup and view all the answers

Heat from the Sun travels to Earth through ______.

<p>vacuum</p> Signup and view all the answers

Match the following methods of heat transfer with their characteristics:

<p>Conduction = Direct molecular contact Convection = Bulk fluid movement Radiation = Electromagnetic waves Thermal conduction = Occurs in solids only</p> Signup and view all the answers

What is the formula to calculate the center of gravity on the x-axis?

<p>xCoG = ∑(Wi⋅xi) / ∑Wi (A)</p> Signup and view all the answers

In convection, heat is transferred through solids only.

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

List one example of radiation heat transfer.

<p>Feeling warmth from a fire.</p> Signup and view all the answers

What is the relationship between Celsius and Kelvin?

<p>K = C + 273.15 (A)</p> Signup and view all the answers

Fahrenheit is primarily used in scientific circles around the world.

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

What is the freezing point of water in Fahrenheit?

<p>32°F</p> Signup and view all the answers

The formula to convert Celsius to Fahrenheit is F = (C × ______) + 32.

<p>9/5</p> Signup and view all the answers

Match the following forces with their descriptions:

<p>Frictional Force = Resistance when two surfaces slide Tension Force = Force exerted through a rope when pulled Normal Force = Support force perpendicular to an object Applied Force = Direct push or pull by a person</p> Signup and view all the answers

What is the division scale for Fahrenheit between the freezing and boiling points of water?

<p>180 divisions (C)</p> Signup and view all the answers

What is a contact force? Provide one example.

<p>A force that occurs when two objects are in contact, e.g., frictional force.</p> Signup and view all the answers

Kelvin and Celsius scales have different intervals for measuring temperature.

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

What is a characteristic of non-contact forces?

<p>They operate through a field (A)</p> Signup and view all the answers

Gravitational force is an example of a contact force.

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

Name one example of heat transfer by conduction.

<p>A metal spoon becoming hot in boiling water.</p> Signup and view all the answers

Convection requires a ______ medium for heat transfer.

<p>fluid</p> Signup and view all the answers

Which of the following statements about conduction is true?

<p>It requires a medium and occurs between molecules in contact. (D)</p> Signup and view all the answers

Non-contact forces can only act over short distances.

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

What is the mechanism behind convection?

<p>Warm, less dense fluid rises while cooler, denser fluid sinks.</p> Signup and view all the answers

What is measured in units such as joules (J) or calories?

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

Temperature is a measure of the total energy of all the particles in a substance.

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

What type of thermometer can measure temperatures down to -70°C?

<p>Alcohol thermometer</p> Signup and view all the answers

Heat flows from a ______ object to a ______ object.

<p>hot, cold</p> Signup and view all the answers

Match the following thermometers with their properties:

<p>Alcohol Thermometer = Less toxic and suitable for low temperatures Mercury Thermometer = Suitable for high temperatures and hazardous</p> Signup and view all the answers

Which thermometer type contains mercury as the thermometric liquid?

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

Name one property of alcohol thermometers that makes them easier to read.

<p>Colored alcohol</p> Signup and view all the answers

Both alcohol and mercury thermometers can measure very high temperatures equally well.

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

Which of the following is a characteristic of a vector quantity?

<p>Has both magnitude and direction. (C)</p> Signup and view all the answers

Scalars have both magnitude and direction.

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

Velocity is an example of a __________ quantity.

<p>vector</p> Signup and view all the answers

Match the following quantities with their type (Scalar or Vector):

<p>Force = Vector Temperature = Scalar Displacement = Vector Time = Scalar</p> Signup and view all the answers

Which operation is typically used for vector quantities?

<p>Vector addition and subtraction (C)</p> Signup and view all the answers

Scalar quantities can only be expressed by using complex notations.

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

The notation for vector quantities usually includes an arrow over the symbol or is written in __________.

<p>bold</p> Signup and view all the answers

What is the primary scale used in scientific calculations that starts from absolute zero?

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

Mercury thermometers are less durable than alcohol thermometers.

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

In the Celsius scale, the freezing point of water is _____ °C.

<p>0</p> Signup and view all the answers

Which temperature scale is commonly used in healthcare settings?

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

Match the temperature scales with their properties:

<p>Celsius = Used widely in science and daily life Fahrenheit = Commonly used in the United States Kelvin = An absolute temperature scale starting from absolute zero</p> Signup and view all the answers

Explain one advantage of using mercury thermometers over alcohol thermometers.

<p>Mercury thermometers provide more accurate readings.</p> Signup and view all the answers

The conversion formula from Celsius to Kelvin is K = C + _____

<p>273.15</p> Signup and view all the answers

Celsius and Kelvin have different interval divisions.

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

The boiling point of water in Fahrenheit is __________.

<p>212</p> Signup and view all the answers

Match the temperature scale with its primary usage:

<p>Celsius = Global &amp; scientific Kelvin = Scientific Fahrenheit = U.S. &amp; territories</p> Signup and view all the answers

Which of the following is an example of a contact force?

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

Fahrenheit scale is based on absolute zero.

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

What is the definition of a non-contact force?

<p>A force that acts on an object without physical contact, such as gravitational or magnetic force.</p> Signup and view all the answers

Which of the following best describes radiation in heat transfer?

<p>Transfers heat using electromagnetic waves (D)</p> Signup and view all the answers

Convection involves heat transfer through direct molecular contact.

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

What is the main difference between conduction and convection?

<p>Conduction involves direct contact, while convection involves bulk fluid movement.</p> Signup and view all the answers

The formula to calculate the center of gravity for the x-axis is xCoG = ______.

<p>∑(Wi⋅xi)∑Wi</p> Signup and view all the answers

Match the method of heat transfer with its correct mechanism:

<p>Conduction = Direct molecular contact Convection = Bulk fluid movement Radiation = Electromagnetic waves None = Requires no medium</p> Signup and view all the answers

What is an example of radiation in daily life?

<p>Feeling warmth from a heater (A)</p> Signup and view all the answers

The center of gravity is always located at the geometric center of an object.

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

How do you determine the center of gravity for an irregular object?

<p>Break the object into smaller parts and apply the formula for each axis using their weights and coordinates.</p> Signup and view all the answers

Flashcards

Base Quantities

Fundamental physical quantities defined independently and not derived from other quantities.

Derived Quantities

Physical quantities defined using mathematical relationships from base quantities.

Examples of Base Quantities

Length, mass, time, electric current, thermodynamic temperature, amount of substance, luminous intensity.

Examples of Derived Quantities

Speed, force, pressure, energy.

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SI Units

Units of measurement for base and derived quantities, part of the International System of Units.

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Speed

Distance over time.

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Force

Mass times acceleration

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Importance of Base Quantities

Form the foundation for all other physical quantities.

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Vector Magnitude

Length of a vector, representing a value and its direction.

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Position Vector

A vector that shows a point's location from the origin.

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Equal Vectors

Vectors with the same magnitude and direction.

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Orthogonal Vectors

Perpendicular vectors.

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Parallel Vectors

Vectors with the same or opposite direction.

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Displacement Vector

Shortest vector between two points.

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Negative Vector

Same magnitude, opposite direction.

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Collinear Vectors

Vectors along the same line.

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Global Standardization

Using SI units ensures worldwide consistency, simplifying international trade and collaboration.

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Precision and Accuracy

SI units are based on precise, reproducible physical constants, ensuring consistent and accurate measurements.

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Interdisciplinary Application

SI units provide a unified framework for various scientific disciplines, making data sharing easier.

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Decimal System

SI units are based on the decimal system, making conversions between units easy.

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Technological Development

Standardized measurements are essential for manufacturing, quality control, and innovation in technology.

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Legal and Economic Framework

Many countries mandate SI units for legal documents and trade, ensuring fairness and consistency.

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Educational Consistency

Teaching SI units globally creates a common foundation for understanding scientific principles.

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Mercury Thermometer

A thermometer that uses mercury's expansion to measure temperature. It's known for its precision and accuracy, especially at higher temperatures.

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Alcohol Thermometer

A thermometer that uses alcohol's expansion to measure temperature. It's preferred for measuring extremely low temperatures.

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Celsius Scale (°C)

A temperature scale where water freezes at 0°C and boils at 100°C. It's commonly used worldwide.

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Fahrenheit Scale (°F)

A temperature scale where water freezes at 32°F and boils at 212°F. It's primarily used in the United States.

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Kelvin Scale (K)

An absolute temperature scale where 0 K represents absolute zero, the point where molecular motion stops. It's used in scientific calculations.

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Conversion: Celsius to Kelvin

To convert Celsius to Kelvin, add 273.15 to the Celsius temperature. (K = °C + 273.15)

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Conversion: Kelvin to Celsius

To convert Kelvin to Celsius, subtract 273.15 from the Kelvin temperature. (°C = K - 273.15)

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Absolute Zero

The theoretical lowest possible temperature, where all molecular motion ceases. It's represented as 0 K on the Kelvin scale.

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What is radiation?

Heat transfer through electromagnetic waves, requiring no medium.

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What is the medium for radiation?

Radiation doesn't need a medium; it can travel through a vacuum.

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How is heat transferred by radiation?

Infrared radiation emitted from a hot object travels as electromagnetic waves.

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Center of Gravity (CoG)

The point where an object's entire weight acts as if concentrated, regardless of its orientation.

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How to find CoG for irregular shapes?

Break the object into parts, assign coordinates and weights, then use formulas for each axis.

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Formula for CoG on x-axis

xCoG = (∑(Wi * xi)) / ∑Wi, where Wi is weight and xi is x-coordinate of each part.

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CoG and Stability

The CoG's position affects an object's stability; lower CoG means more stability.

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How does CoG affect stability?

A lower CoG makes an object more stable because it has a larger base of support.

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Celsius (°C)

A temperature scale widely used globally and in scientific contexts, where water freezes at 0°C and boils at 100°C.

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Kelvin (K)

The absolute temperature scale where 0 K represents absolute zero, the lowest possible temperature. Water freezes at 273.15 K and boils at 373.15 K.

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Fahrenheit (°F)

A temperature scale primarily used in the United States, where water freezes at 32°F and boils at 212°F.

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Contact Force

A force that arises when two objects are physically touching each other and exert a direct influence on each other.

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Non-contact Force

A force that acts upon objects without the need for direct physical contact, often through fields or interactions at a distance.

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Example of a Contact Force

Friction is a contact force that resists motion between two surfaces in contact. Think of the force you feel when rubbing your hands together.

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Example of a Non-contact Force

Gravity is a non-contact force that pulls objects towards each other with a strength dependent on their masses and distance. It keeps you grounded on Earth.

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Tension Force

A contact force that acts along a rope, string, or cable when it is pulled taut, transmitting force from one end to the other.

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Heat vs. Temperature

Heat is the energy transferred due to a temperature difference, while temperature measures the average kinetic energy of particles.

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Heat Transfer

Heat always flows from a hotter object to a cooler one.

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Measuring Heat

Heat is measured using a calorimeter, a device that measures the heat absorbed or released.

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Measuring Temperature

Temperature is measured using a thermometer, which measures the average kinetic energy of particles.

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Alcohol Thermometer Advantages

Safer, less toxic, more sensitive to temperature changes.

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Mercury Thermometer Advantages

Accurate, good for high temperatures, expands consistently.

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Scalar Quantity

A quantity represented by a single number with units, describing only its magnitude, without direction.

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Vector Quantity

A quantity that has both magnitude (size) and direction.

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Distance vs. Displacement

Distance is a scalar quantity, the total path length traveled. Displacement is a vector quantity, the shortest distance between start and end points, considering direction.

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Speed vs. Velocity

Speed is a scalar quantity describing how fast something moves. Velocity is a vector quantity describing both speed and direction.

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Example: Force as a Vector

Force is a vector quantity, having both magnitude (how strong) and direction (which way it pushes or pulls).

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Vector Addition

Combining vectors by considering both magnitude and direction, often visualized with arrows.

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Scalar vs. Vector: Summary

Scalars are simple, just a number with units. Vectors are more complex, requiring both magnitude and direction for a full description.

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Real-world Example: Navigation

Navigation uses both scalar and vector quantities: Speed (scalar) and direction (vector) are crucial for determining a path or location.

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Convert °C to K

To convert Celsius to Kelvin, add 273.15 to the Celsius temperature. (K = °C + 273.15)

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Convert K to °C

To convert Kelvin to Celsius, subtract 273.15 from the Kelvin temperature. (°C = K - 273.15)

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Examples of Contact Forces

Examples of Contact Forces include: Friction, Tension, Normal Force, and Applied Force.

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Types of Non-Contact Forces

Examples of non-contact forces include gravity, electrostatic force, and magnetic force.

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Conduction

Heat transfer through direct contact between molecules, mainly in solids.

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Convection

Heat transfer through the bulk movement of fluids (liquids or gases) due to temperature and density differences.

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Radiation

Heat transfer through electromagnetic waves, requiring no medium.

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Radiation: Medium?

Radiation does not require a medium to transfer heat. It can travel through a vacuum.

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Radiation: How does it work?

Radiation transfers heat through electromagnetic waves. It emits infrared radiation, which can travel through space.

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Calculating CoG

For irregular shapes, break the object into smaller parts, assign coordinates and weights, then use formulas for each axis to find the CoG.

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Heat Transfer: Conduction

Heat transfer through direct contact between molecules, happening in solids, liquids, and gases.

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Heat Transfer: Convection

Heat transfer through fluid movement, like air or water. Warmer fluids rise, cooler fluids sink.

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Heat Transfer: Radiation vs. Convection

Radiation uses electromagnetic waves and doesn't need a medium, while convection relies on fluid movement.

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Study Notes

Base Quantities

  • Definition: Fundamental physical quantities defined independently, not derived from others
  • Examples: Length, mass, time, electric current, thermodynamic temperature, amount of substance, luminous intensity
  • SI Units: Each base quantity has a unique base unit (e.g., meter for length, kilogram for mass)
  • Importance: Form the foundation for all other physical quantities

Derived Quantities

  • Definition: Physical quantities defined using mathematical relationships with base quantities
  • Examples: Speed, force, pressure, energy
  • SI Units: Derived quantities have units that are combinations of base units (e.g., Newton = kg·m/s², Pascal = N/m²)
  • Importance: Allow describing complex physical phenomena using relationships between base quantities

Importance of SI units

  • Global standardization: Eliminates confusion in international contexts, facilitates trade and collaboration.
  • Precision and accuracy: Based on reproducible physical constants, measurements remain consistent over time.
  • Interdisciplinary application: Provides a unified framework for various fields (physics, chemistry, engineering).
  • Simplifies conversions: Based on the decimal system for easier unit conversion.
  • Supports technological development: Enables quality control in manufacturing and engineering.
  • Legal and economic framework: Enforces fairness and consistency in trade and legal documents.
  • Educational consistency: Provides a universal foundation for understanding scientific principles.
  • Example impact: Prevents errors, crucial in collaborative projects.

Scalar and Vector Quantities

  • Scalar Quantity: Has only magnitude.
  • Examples: Distance, speed, mass, energy, temperature
  • Vector Quantity: Has magnitude and direction.
  • Examples: Displacement, velocity, force, acceleration
  • Mathematical Operations: Scalars use simple arithmetic, vectors require vector addition/subtraction.
  • Dependence on Direction: Scalars are independent of direction, while vectors are direction-dependent.
  • Notation: Scalars are written with symbols (e.g., m, t), while vectors are written in boldface or with arrows (e.g., vec{F},\mathbf{v}).

Types of Vectors

  • Zero Vector (Null Vector): Zero magnitude, no specific direction, identity element for vector addition.
  • Unit Vector: Magnitude of 1, used to indicate direction.
  • Position Vector: Represents position of a point relative to the origin
  • Equal Vectors: Same magnitude and direction, independent of initial point.
  • Negative Vector: Same magnitude, opposite direction.
  • Parallel Vectors: Same or exactly opposite directions
  • Collinear Vectors: Lie along the same line or parallel lines
  • Orthogonal Vectors: Perpendicular to each other, dot product is zero
  • Coplanar Vectors: Lie in the same plane

Methods of Heat Transfer

  • Conduction: Heat transfer via direct contact between molecules, requires a medium (solid, liquid, or gas).
  • Convection: Heat transfer through bulk movement of fluids (liquids or gases), occurs due to temperature and density differences.
  • Radiation: Heat transfer through electromagnetic waves, does not require a medium.

Calculating the Center of Gravity (CoG)

  • Definition: Point where the entire weight of an object acts, regardless of orientation.
  • Calculation steps:
    • Break the object into smaller parts.
    • Assign coordinates (x, y, z) for each part.
    • Determine the weight of each part (Wi).
    • Calculate the CoG for each axis using formulas (xCoG = ∑(Wi·xi) / ∑Wi, etc.).
    • Combine the CoG coordinates (xCoG, yCoG, zCoG).
  • Effect on Stability: Low CoG improves stability, high CoG reduces it. Base of support also plays a role.

Kinetic Theory of Gases

  • Key Assumptions: Molecules are in constant, random motion. Negligible intermolecular forces. Molecules occupy negligible volume. Collisions are perfectly elastic. Pressure arises from molecular collisions. Temperature is proportional to average kinetic energy.
  • Key Results: Pressure and volume are related (Boyle's Law). Temperature and kinetic energy are related. Maxwell-Boltzmann distribution describes molecular speeds. Equation of State for Ideal Gases (PV = nRT).

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