Fundamental Concepts of Physics

May 17, 2025

Physics Basics Lecture Notes

Introduction

  • Topics Covered: Displacement, velocity, acceleration, projectile motion, Newton's laws, forces, momentum.
  • Purpose: Basic introduction to physics principles.

Distance and Displacement

  • Distance: How far something has traveled, a scalar quantity (e.g., 100 miles).
  • Displacement: Distance with direction, a vector quantity.
    • Example: Walk 8 meters east, 3 meters west; Distance = 11 meters, Displacement = 5 meters east.
  • Key Points:
    • Distance is always positive.
    • Displacement can be positive or negative based on direction.
    • Scalars have magnitude only; vectors have magnitude and direction.

Speed and Velocity

  • Speed: How fast something is moving, a scalar (e.g., 30 meters per second).
  • Velocity: Speed with direction, a vector.
    • Example: Train moving at 30 meters/second west is velocity.
  • Formulas:
    • Speed = Distance / Time
    • Velocity = Displacement / Time
  • Key Points:
    • Speed is always positive.
    • Velocity can be positive or negative.
    • Average speed = Total distance / Total time.
    • Average velocity = Displacement / Total time.

Acceleration

  • Definition: How fast the velocity is changing.
    • Positive acceleration: Speeding up.
    • Negative acceleration: Slowing down.
  • Formula:
    • Acceleration = (Final Velocity - Initial Velocity) / Time
  • Examples:
    • Truck vs. Sports car acceleration.

Gravitational Acceleration

  • Earth's Gravitational Acceleration (g): -9.8 m/s²
    • Impacts vertical (y-direction) motion.
    • Causes velocity to decrease as it moves upward.

Projectile Motion

  • Definition: Objects moving under the influence of gravity.
  • Components:
    • Horizontal motion (x-axis): Constant velocity.
    • Vertical motion (y-axis): Affected by gravity.
  • Key Points:
    • No horizontal acceleration; horizontal velocity (Vx) is constant.
    • Vertical velocity (Vy) changes due to gravity.

Newton's Laws of Motion

Newton's First Law

  • Concept: An object at rest stays at rest; an object in motion stays in motion unless acted upon by a force.
  • Example: Friction stopping a moving object.

Newton's Second Law

  • Formula: Net Force = Mass x Acceleration (F = ma)
  • Example:
    • Applying a force to a mass accelerates the object.
    • Calculation of acceleration using given force and mass.

This summary captures the main points from the lecture on basic physics concepts, including definitions, examples, and key formulas. It should be useful for reviewing the foundational principles of physics.