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Physics Core Concepts

Jun 13, 2025

Overview

This lecture reviews core physics concepts from motion to energy and thermodynamics, emphasizing essential formulas, definitions, and problem-solving techniques.

Motion & Graphs

  • Uniform motion is movement at a constant speed in a straight line; shown as a straight line on a distance-time graph.
  • Average speed equals distance divided by time; can also be found as the slope of a displacement-time graph.
  • On speed-time graphs, a horizontal line indicates constant speed; a slanted line indicates acceleration.
  • The area under a speed-time graph represents distance traveled.

Scalars vs. Vectors

  • Scalar quantities have magnitude only (distance, speed, energy, time).
  • Vector quantities have magnitude and direction (displacement, velocity, acceleration, force).
  • North and East directions are considered positive; South and West are negative.

Velocity & Acceleration

  • Velocity is the slope of a displacement-time graph or displacement divided by time.
  • Acceleration is the change in velocity divided by time.
  • On a position-time graph, a curve indicates acceleration; a straight line shows constant velocity.

Work & Energy

  • Work is done when a force moves an object in the same direction as the force: Work = Force × Distance.
  • Potential energy (gravitational): EP = mgh (mass × gravity × height).
  • Kinetic energy: EK = ½mv² (½ × mass × velocity squared).
  • To find mass or speed, rearrange the kinetic energy formula accordingly.

Conservation of Mechanical Energy

  • Mechanical energy is the sum of kinetic and potential energies.
  • In systems without energy loss, mechanical energy remains constant (EP_top = EK_bottom).
  • For free fall: velocity = √(2gh).

Thermodynamics & Efficiency

  • Systems can be open (exchange matter and energy), closed (only exchange energy), or isolated (exchange nothing).
  • First law: Energy cannot be created or destroyed—only transformed.
  • Second law: Heat naturally flows from hot to cold.
  • Efficiency = (useful energy output / energy input) × 100%; cannot exceed 100%.

Energy Sources

  • Renewable: solar, wind, water (if recycled), geothermal, tidal, biomass.
  • Non-renewable: nuclear, fossil fuels.

Key Terms & Definitions

  • Uniform Motion — constant speed in a straight line.
  • Scalar Quantity — has only magnitude.
  • Vector Quantity — has magnitude and direction.
  • Velocity — displacement per unit time, direction matters.
  • Acceleration — rate of change of velocity.
  • Work — force applied over a distance.
  • Potential Energy (EP) — stored energy due to position.
  • Kinetic Energy (EK) — energy due to motion.
  • Mechanical Energy — sum of potential and kinetic energy.
  • Efficiency — percentage of useful energy output from total input.

Action Items / Next Steps

  • Review significant digits and scientific notation.
  • Practice solving problems with the provided formulas.
  • Revisit definitions and differences between scalars and vectors.
  • Study examples of energy conservation and efficiency calculations.