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Master Math: Essential Physics

Book Description

MASTER MATH: ESSENTIAL PHYSICS presents, teaches, and explains the fundamental topics of algebra-based physics. It includes engaging, fun examples and applications, as well as challenging practice problems with explanatory answers. MASTER MATH: ESSENTIAL PHYSICS was written for you, the student, parent, teacher, tutor, or curious thinker. It covers the essentials of high school and college curricula. It can serve as a supplement to your textbook, a handy reference, or a tutor for lifetime learners. Topics encompass motion, force, momentum, Newton's Laws, equilibrium, friction, forces in nature, energy, work, elasticity, harmonic motion, static and moving fluids, heat, temperature, gas, electric fields, electromagnetism, direct and alternating current, waves, sound, radiation, light and optics, and an introduction to relativity, quanta, the atom, dark matter, and dark energy.

Table of Contents

  1. Title Page
  2. Copyright Page
  3. TABLE OF CONTENTS
  4. Dedication
  5. Acknowledgments
  6. About the Author
  7. IMPORTANT DEFINITIONS
  8. INTRODUCTION
  9. Chapter 1 MOTION
    1. 1.1. Average Speed
    2. 1.2. Instantaneous Speed
    3. 1.3. Acceleration
    4. 1.4. Finding Distance Traveled at Constant Acceleration
    5. 1.5. Acceleration Due to Gravity—No Air Resistance
    6. 1.6. Acceleration Due to Gravity—With Air Resistance
    7. 1.7. Vector and Scalar Excursion
    8. 1.8. Velocity vs. Speed
    9. 1.9. Acceleration Vector
    10. 1.10. Two-Dimensional Motion: Projectiles
    11. 1.11. Circular Motion
    12. 1.12. Key Concepts and Practice Problems
  10. Chapter 2 FORCE, MOMENTUM, AND NEWTON’S LAWS
    1. 2.1. Force
    2. 2.2. Newton’s Laws of Motion
    3. 2.3. Mass vs. Weight, Normal Force, and Tension
    4. 2.4. Linear Momentum and Impulse
    5. 2.5. Conservation of Linear Momentum
    6. 2.6. Torque
    7. 2.7. Angular Momentum and Conservation of Angular Momentum
    8. 2.8. Center of Mass
    9. 2.9. Key Concepts and Practice Problems
  11. Chapter 3 EQUILIBRIUM AND FRICTION
    1. 3.1. Static Equilibrium
    2. 3.2. Torques in Equilibrium
    3. 3.3. Friction
    4. 3.4. Key Concepts and Practice Problems
  12. Chapter 4 NATURAL FORCES
    1. 4.1. Gravitation
    2. 4.2. Electrostatic Force
    3. 4.3. Strong Nuclear and Weak Forces
    4. 4.4. Key Concepts and Practice Problems
  13. Chapter 5 ENERGY AND WORK
    1. 5.1. Work
    2. 5.2. Kinetic Energy
    3. 5.3. Potential Energy
    4. 5.4. Conservative and Non-Conservative Forces
    5. 5.5. Gravitational Potential Energy When h Is Large
    6. 5.6. Electrostatic Potential Energy
    7. 5.7. Introduction to the Electron Volt
    8. 5.8. Rotational Kinetic Energy
    9. 5.9. Conservation of Energy
    10. 5.10. Elastic and Inelastic Collisions
    11. 5.11. Power
    12. 5.12. Principles of Simple Machines
    13. 5.13. Key Concepts and Practice Problems
  14. Chapter 6 ELASTICITY AND HARMONIC MOTION
    1. 6.1. Elasticity and Hooke’s Law
    2. 6.2. Stress and Strain
    3. 6.3. Simple Harmonic Motion (SHM)
    4. 6.4. Energy and Simple Harmonic Motion
    5. 6.5. Simple Pendulum
    6. 6.6. Damped Oscillations and Resonance
    7. 6.7. Key Concepts and Practice Problems
  15. Chapter 7 FLUIDS
    1. 7.1. Pressure and Static Fluids
    2. 7.2. Archimedes’ Principle and the Buoyant Force in Static Fluids
    3. 7.3. Surface Tension and Capillary Action
    4. 7.4. Fluid Flow, Continuity Equation, and Bernoulli’s Equation
    5. 7.5. Viscosity, Reynolds Number, and Terminal Velocity
    6. 7.6. Key Concepts and Practice Problems
  16. Chapter 8 HEAT AND TEMPERATURE
    1. 8.1. Temperature
    2. 8.2. Thermal Expansion
    3. 8.3. Heat as Energy
    4. 8.4. Heat Transfer
    5. 8.5. Key Concepts and Practice Problems
  17. Chapter 9 GAS AND THERMODYNAMICS
    1. 9.1. Definitions—Mass, Moles, and Amu
    2. 9.2. The Gas Laws
    3. 9.3. Kinetic Theory
    4. 9.4. Diffusion and Osmosis
    5. 9.5. The Laws of Thermodynamics
    6. 9.6. Vaporization, Vapor Pressure, and Phase Change
    7. 9.7. Key Concepts and Practice Problems
  18. Chapter 10 ELECTRIC FIELDS AND CURRENTS
    1. 10.1. Electric Field and Electric Potential
    2. 10.2. Capacitance
    3. 10.3. Electric Current
    4. 10.4. Electric Resistance
    5. 10.5. Electric Power
    6. 10.6. Circuits
    7. 10.7. Key Concepts and Practice Problems
  19. Chapter 11 ELECTROMAGNETISM
    1. 11.1. Magnetism
    2. 11.2. Magnetic Forces on Moving Charges
    3. 11.3. Charged Particles Moving in Circular Motion in Magnetic Fields
    4. 11.4. Electric Currents Generate Magnetic Fields
    5. 11.5. Changing Fields Induce Current and Magnetic Flux
    6. 11.6. Key Concepts and Practice Problems
  20. Chapter 12 ALTERNATING CURRENT
    1. 12.1. Alternating Current
    2. 12.2. Capacitance in an AC Circuit
    3. 12.3. Inductance in an AC Circuit
    4. 12.4. RCL Circuits
    5. 12.5. Key Concepts and Practice Problems
  21. Chapter 13 WAVES, SOUND, AND LIGHT
    1. 13.1. Traveling Waves
    2. 13.2. Standing Waves
    3. 13.3. Sound Waves
    4. 13.4. Light Waves: Interference and Diffraction
    5. 13.5. Electromagnetic Radiation
    6. 13.6. Reflection and Refraction
    7. 13.7. Lenses and Mirrors
    8. 13.8. Key Concepts and Practice Problems
  22. Chapter 14 INTRODUCTION TO THE “FUN STUFF”
    1. 14.1. Special Relativity
    2. 14.2. General Relativity
    3. 14.3. The Atom and an Introduction to Quantum
    4. 14.4. Dark Energy and Dark Matter
    5. 14.5. Key Concepts and Practice Problems
  23. INDEX