# University Physics: Integrating It All

This introductory physics textbook provides a fundamental framework of core physics topics in a shorter, more engaging, and less expensive text. It includes hundreds of worked examples and problems, and acts as a primer for students eager to know where their physics career is going.

### Summary

This refreshing new, calculus-based textbook answers a demand from instructors for comprehensive coverage of introductory physics in a clearer, shorter, more engaging and less expensive text. University Physics provides hundreds of worked examples and chapter-ending problems that cover the fundamentals traditional to this course while developing a clear understanding of how the mathematical frameworks learned in calculus connect to and take on physical meaning in their applications to physics. Optional introductions to topics that students are not often exposed to in introductory courses make this new text a brilliant primer for students who are eager to know where their newly launched physics careers will be going.

### Table of Contents

1. Introduction

1.2. Working with Numbers

1.3. Arithmetic

1.4. Working with units

1.5. Math Requirements

1.6. Some Mathematical Jargon and Notation in Physics

1.7. Summary

2. Velocity and Acceleration

3.2. Vector and Scalars

3.3. Vector Addition

3.4. Components and Basis Vectors

3.5. Vector Addition (Revisited)

3.6. Summary

4. Two-Dimensional Kinematics

4.2. Coordinate Systems and Position Vectors

4.3. Acceleration in Two Dimensions

4.4. Projectile Motion

4.5. Circular Motion and Centripetal Acceleration

4.6. Relative Velocity

4.7. Summary

5. Newton’s Laws

5.2. Newton’s Second Law

5.3. Newton’s Third Law

5.4. Forces

5.5. Free-Body Diagrams

5.6. Statics

5.7. Summary

6. Forces

6.2. Normal Force

6.3. Frictional Forces Kinetic and Static

6.4. Problems on an Inclined Plane

6.5. Tension

6.6. Elastic and Spring Forces

6.7. Refrigerator Magnet Force

6.8. Apparent Weight

6.9. Centripetal Force

6.10. Centrifugal and Other Inertial Forces

6.11. Summary

7. Energy

7.2. Work and the Change in Mechanical Energy

7.3. Power

7.4. The Dot Product

7.5. Work By A Non-Uniform Force: The Definite Integral

7.6. Path Integrals

7.7. Summary

8. Conservative Forces

8.2. Finding the Potential Energy

8.3. The Partial Derivative

8.4. Finding the Potential Energy – Revisited

8.5. Graphing the Potential Energy

8.6. Conservation of Energy

8.7. Summary

9. Momentum

9.2. Total Momentum

9.3. Center of Mass

9.4. Collisions

9.5. Collisions in Two Dimensions

9.6. Elastic Collisions

9.7. Summary

10. Rotation About a Fixed Axis

10.2. Torque About an Axis

10.3. Statics of Extended Bodies

10.4. Fixed-Axis Rotational Dynamics

10.5. Rotational Inertia of Continuous Bodies

10.6. Summary

11. Rotation in Three Dimensions

11.2. Angular Momentum

11.3. Principle Axes

11.4. Precession

11.5. Angular Momentum of a Translating and Rotating Body

11.6. Kinetic Energy of a Translating and Rotating Body

11.7. Single-Axis Versus Three Dimensions

11.8. Summary

12. Simple Harmonic Motion

12.2. Differential Equations

12.3. Simple Harmonic Motion

12.4. Energy in Simple Harmonic Motion

12.5. Other Harmonic Oscillators

12.6. Summary

13. Damped Driven Oscillators

13.2. Damped Harmonic Oscillators

13.3. Inhomogeneous Linear Differential Equations

13.4. Driven Damped Harmonic Oscillators

13.5. Resonance

13.6. Summary

14. Pressure and Fluids

14.2. Pressure in a Fluid

14.3. Pascal’s Principle

14.4. Archimedes’ Principle

14.5. The Equation of Continuity

14.6. Bernoulli’s Equation

14.7. Viscosity and Poiseuille’s Law

14.8. Summary

15. Waves

15.2. Reflection From the Ends

15.3. The Wave Equation

15.4. The Boundary-Value Problem

15.5. Continuous Waves

15.6. Reflection and Transmission at an Interface

15.7. Summary

16. Sound Waves and Standing Waves

16.2. The Doppler Effect

16.3. Interference and Beats

16.4. Standing Waves

16.5. Standing Waves On a String

16.6. Reflection of Sound in an Air Column

16.7. Longitudinal Standing Waves

16.8. Summary

17. Thermal Physics

17.2. Thermal Expansion

17.3. Specific Heat

17.4. Latent Heats

17.5. Energy Transfer

17.6. Heat Conduction

17.7. Summary

18. Thermodynamics

18.2. The Ideal Gas Law

18.3. Molecular Speed Distribution in a Gas

18.4. Energy and the First Law

18.5. Specific Heats of a Gas

18.6. Thermodynamic Processes

18.7. Entropy and the Second law

18.8. Summary

19. Electric Forces and Fields

19.2. Coulomb’s Law

19.3. Induction and Polarization

19.4. Electric Fields

19.5. Continuous Distributions of Charge

19.6. Electric Field Lines

19.7. Electric Flux and Gauss’s Law

19.8. Summary

20. Electric Potential

20.2. The Electric Potential

20.3. Fields and Potentials

20.4. Uniformly Charged Parallel Plates

20.5. Equipotential Surfaces

20.6. Capacitance

20.7. Polarization and Dielectrics

20.8. Energy in a Capacitor

20.9. Summary

21. Electric Circuits

21.2. Batteries

21.3. Resistors and Light Bulbs

21.4. Energy and Power in Circuit Elements

21.5. Circuits

21.6. Equivalent Resistance

21.7. Kirchoff’s Laws

21.8. RC Circuits

21.9. Summary

22. Magnetic Forces and Fields

22.2. Magnetic Force on a Charged Particle

22.3. Magnetic Force on a Current-Carrying Wire

22.4. Calculating the Magnetic Field

22.5. Magnetic Field Due to a Wire

22.6. Loops and Solenoids

22.7. Ampère’s Law

22.8. Magnetic Properties of Materials

22.9. Summary

23. Light and Electromagnetic Waves

23.2. Electric and Magnetic Fields in a Wave

23.3. The Electromagnetic Spectrum

23.4. Huygens’ Principle and Reflection

23.5. Refraction

23.6. Energy in Electromagnetic Waves

23.7. Summary

24. Geometrical Optics

24.2. Thin Lenses

24.3. Ray Tracing and Image Size

24.4. Spherical Mirrors

24.5. Combining Optical Elements

24.6. Optical Instruments

24.7. Summary

25. Wave Optics

25.2. Phasors

25.3. Gratings

25.4. Diffraction

25.5. Resolution

25.6. Thin Films

25.7. Polarization

25.8. Circular Polarization

25.9. Summary

Appendices

B. Trig Review for Physics

C. Calculus for Physics

D. Units and Conversions

E. Physical and Fundamental Constants

F. Answers to Odd-Numbered Problems

Index