Fundamentals of Physics: Core Concepts and Applications

Course Overview: Fundamentals of Physics (FPHY011)

This course provides a foundational understanding of physics principles essential for engineering and science students. It covers measurement systems, kinematics, dynamics, energy, momentum, electricity, and basic thermodynamics, emphasizing both conceptual understanding and problem-solving skills.

Course Learning Outcomes (CLOs)

• Physical Quantities & Units: Identify and explain physical quantities, units, dimensions, and vector algebra principles.

• Mechanics: Understand and apply fundamental laws and principles of mechanics, including Newton's laws.

• Momentum & Collisions: Explain and calculate momentum, impulse, and analyze different types of collisions.

• Work, Power & Energy: Describe and apply the principles of work, power, energy, and conservation laws.

• Electricity & Heat: Understand basic concepts of electricity and heat transfer.

• Problem Solving: Use SI units, dimensional analysis, and vector operations to solve physics problems.

• Ethical Practice: Demonstrate accuracy, consistency, and responsibility in physics problem-solving.

Course Content by Topic

1. Fundamentals of Measurement and SI Units

Understanding measurement is crucial in physics for quantifying observations and ensuring consistency in scientific communication.

• Physical Quantities: Properties that can be measured (e.g., length, mass, time).

• SI Units: The International System of Units standardizes measurements (e.g., meter for length, kilogram for mass, second for time).

• Derived Quantities: Quantities defined by combinations of base units (e.g., velocity in m/s, force in newtons).

• Dimensional Analysis: Technique to check the consistency of equations and convert between units.

2. Scientific Notation, Prefixes, and Conversion Factors

Scientific notation and prefixes simplify the representation of very large or small numbers, while conversion factors allow for changing between units.

• Scientific Notation: Expresses numbers as a product of a coefficient and a power of ten (e.g., $3.0 \times 10^8$ m/s).

• Prefixes: Indicate powers of ten (e.g., kilo- ($10^3$), milli- ($10^{-3}$)).

• Conversion Factors: Ratios used to convert one unit to another (e.g., $1\ \mathrm{km} = 1000\ \mathrm{m}$).

3. Kinematics: Motion in One Dimension

Kinematics describes the motion of objects without considering the causes of motion.

• Key Quantities: Displacement, velocity, and acceleration.

• Average Velocity: $v_{avg} = \frac{\Delta x}{\Delta t}$

• Instantaneous Velocity: $v = \frac{dx}{dt}$

• Average Acceleration: $a_{avg} = \frac{\Delta v}{\Delta t}$

• Instantaneous Acceleration: $a = \frac{dv}{dt}$

4. Vectors and Vector Operations

Vectors are quantities with both magnitude and direction, essential for describing physical phenomena in physics.

• Scalars vs. Vectors: Scalars have magnitude only; vectors have magnitude and direction.

• Vector Addition (Geometric): Use the parallelogram or triangle method.

• Components of Vectors: Any vector can be broken into x and y components: $\vec{A} = A_x \hat{i} + A_y \hat{j}$

• Unit Vectors: Vectors of unit length indicating direction (e.g., $\hat{i}$, $\hat{j}$, $\hat{k}$).

• Adding by Components: $\vec{A} + \vec{B} = (A_x + B_x)\hat{i} + (A_y + B_y)\hat{j}$

• Multiplying Vectors: Scalar (dot) product and vector (cross) product.

• Dot Product: $\vec{A} \cdot \vec{B} = AB \cos \theta$

• Cross Product: $\vec{A} \times \vec{B} = AB \sin \theta\ \hat{n}$

5. Newton's Laws of Motion

Newton's laws form the foundation of classical mechanics, describing the relationship between forces and motion.

• First Law (Inertia): An object remains at rest or in uniform motion unless acted upon by a net force.

• Second Law: $\vec{F} = m\vec{a}$

• Third Law: For every action, there is an equal and opposite reaction.

• Inertial Reference Frames: Frames of reference where Newton's laws hold.

6. Momentum, Impulse, and Collisions

Momentum and impulse are key concepts for analyzing collisions and interactions between objects.

• Linear Momentum: $\vec{p} = m\vec{v}$

• Impulse: $\vec{J} = \Delta \vec{p} = \int \vec{F}\,dt$

• Conservation of Momentum: Total momentum is conserved in isolated systems.

• Types of Collisions: Elastic (kinetic energy conserved) and inelastic (kinetic energy not conserved).

• One-Dimensional Collisions: Analyze using conservation laws.

7. Work, Energy, and Power

Work and energy concepts are central to understanding how forces cause changes in motion and physical systems.

• Work: $W = \vec{F} \cdot \vec{d}$

• Kinetic Energy: $KE = \frac{1}{2}mv^2$

• Work-Energy Theorem: $W_{net} = \Delta KE$

• Power: $P = \frac{dW}{dt}$

• Conservation of Energy: Total energy remains constant in an isolated system.

8. Electricity: Current, Resistance, and Circuits

Basic electrical concepts are essential for understanding how electric circuits function in engineering systems.

• Electric Current: $I = \frac{Q}{t}$

• Resistance: $R = \frac{V}{I}$

• Ohm's Law: $V = IR$

• Electric Power: $P = IV$

• Simple Circuits: Series and parallel arrangements of resistors.

9. Thermal Physics: Temperature, Heat, and Thermodynamics

Thermal physics explores the concepts of temperature, heat transfer, and the laws governing energy in thermal processes.

• Temperature Scales: Celsius, Kelvin, and Fahrenheit.

• Thermal Expansion: Change in size of materials with temperature.

• Phase Changes: Melting, boiling, condensation, etc.

• Heat of Transformation: Energy required for phase changes.

• First Law of Thermodynamics: $\Delta U = Q - W$

• Work in Thermodynamics: Work done by or on a system during volume changes.

Sample Table: SI Base Units and Derived Quantities

Physical Quantity	SI Unit	Symbol
Length	meter	m
Mass	kilogram	kg
Time	second	s
Electric Current	ampere	A
Temperature	kelvin	K
Force	newton	N
Energy	joule	J

Additional Info:

• Some topics (e.g., rotational motion, fluids, wave optics) are not explicitly listed in this syllabus but are part of a standard physics curriculum.

• Students are expected to develop both conceptual understanding and practical problem-solving skills.