Student Solutions Manual for College Physics

Randy Knight taught introductory physics for 32 years at Ohio State University and California Polytechnic State University, where he is Professor Emeritus of Physics. Professor Knight received a Ph.D. in physics from the University of California, Berkeley and was a post-doctoral fellow at the Harvard-Smithsonian Center for Astrophysics before joining the faculty at Ohio State University. It was at Ohio State that he began to learn about the research in physics education that, many years later, led to Five Easy Lessons: Strategies for Successful Physics Teaching and this book, as well as Physics for Scientists and Engineers: A Strategic Approach. Professor Knight’s research interests are in the fields of laser spectroscopy and environmental science. When he’s not in front of a computer, you can find Randy hiking, sea kayaking, playing the piano, or spending time with his wife Sally and their five cats. Brian Jones has won several teaching awards at Colorado State University during his 30 years teaching in the Department of Physics. His teaching focus in recent years has been the College Physics class, including writing problems for the MCAT exam and helping students review for this test. In 2011, Brian was awarded the Robert A. Millikan Medal of the American Association of Physics Teachers for his work as director of the Little Shop of Physics, a hands-on science outreach program. He is actively exploring the effectiveness of methods of informal science education and how to extend these lessons to the college classroom. Brian has been invited to give workshops on techniques of science instruction throughout the United States and in Belize, Chile, Ethiopia, Azerbaijan, Mexico, Slovenia, Norway, and Namibia. Brian and his wife Carol have dozens of fruit trees and bushes in their yard, including an apple tree that was propagated from a tree in Isaac Newton’s garden. Stuart Field has been interested in science and technology his whole life. While in school he built telescopes, electronic circuits, and computers. After attending Stanford University, he earned a Ph.D. at the University of Chicago, where he studied the properties of materials at ultralow temperatures. After completing a postdoctoral position at the Massachusetts Institute of Technology, he held a faculty position at the University of Michigan. Currently at Colorado State University, Stuart teaches a variety of physics courses, including algebra-based introductory physics, and was an early and enthusiastic adopter of Knight’s Physics for Scientists and Engineers. Stuart maintains an active research program in the area of superconductivity. Stuart enjoys Colorado’s great outdoors, where he is an avid mountain biker; he also plays in local ice hockey leagues.

Table of Contents

PART I Force and Motion OVERVIEW The Science of Physics

Representing Motion

1.1 Motion: A First Look
1.2 Models and Modeling
1.3 Position and Time: Putting Numbers on Nature
1.4 Velocity
1.5 A Sense of Scale: Significant Figures, Scientific Notation, and Units
1.6 Vectors and Motion: A First Look
1.7 Where Do We Go from Here?
SUMMARY
QUESTIONS AND PROBLEMS


Motion in One Dimension

2.1 Describing Motion
2.2 Uniform Motion
2.3 Instantaneous Velocity
2.4 Acceleration
2.5 Motion with Constant Acceleration
2.6 Solving One-Dimensional Motion Problems
2.7 Free Fall
SUMMARY
QUESTIONS AND PROBLEMS


Forces and Newton’s Laws of Motion

4.1 Motion and Forces
4.2 A Short Catalog of Forces
4.3 Identifying Forces
4.4 What Do Forces Do?
4.5 Newton’s Second Law
4.6 Free-Body Diagrams
4.7 Newton’s Third Law
SUMMARY
QUESTIONS AND PROBLEMS


Applying Newton’s Laws

5.1 Equilibrium
5.2 Dynamics and Newton’s
Second Law
5.3 Mass and Weight
5.4 Normal Forces
5.5 Friction
5.6 Drag
5.7 Interacting Objects
5.8 Ropes and Pulleys
SUMMARY
QUESTIONS AND PROBLEMS


Circular Motion, Orbits, and Gravity

6.1 Uniform Circular Motion
6.2 Dynamics of Uniform Circular Motion
6.3 Apparent Forces in Circular Motion
6.4 Circular Orbits and Weightlessness
6.5 Newton’s Law of Gravity
6.6 Gravity and Orbits
SUMMARY
QUESTIONS AND PROBLEMS


Rotational Motion

7.1 Describing Circular and Rotational Motion
7.2 The Rotation of a Rigid Body
7.3 Torque
7.4 Gravitational Torque and the Center of Gravity
7.5 Rotational Dynamics and Moment of Inertia
7.6 Using Newton’s Second Law for Rotation
7.7 Rolling Motion
SUMMARY
QUESTIONS AND PROBLEMS


Equilibrium and Elasticity

8.1 Torque and Static Equilibrium
8.2 Stability and Balance
8.3 Springs and Hooke’s Law
8.4 Stretching and Compressing Materials
8.5 Forces and Torques in the Body
SUMMARY
QUESTIONS AND PROBLEMS
PART I SUMMARY Force and Motion
ONE STEP BEYOND Dark Matter and the Structure of the Universe
PART I PROBLEMS







Detailed Contents PART II Conservation Laws OVERVIEW Why Some Things Stay the Same

Momentum

9.1 Impulse
9.2 Momentum and the Impulse-Momentum Theorem
9.3 Solving Impulse and Momentum Problems
9.4 Conservation of Momentum
9.5 Inelastic Collisions
9.6 Momentum and Collisions in Two Dimensions
9.7 Angular Momentum
SUMMARY
QUESTIONS AND PROBLEMS


Energy and Work

10.1 The Basic Energy Model
10.2 Work
10.3 Kinetic Energy
10.4 Potential Energy
10.5 Thermal Energy
10.6 Conservation of Energy
10.7 Energy Diagrams
10.8 Molecular Bonds and Chemical Energy
10.9 Energy in Collisions
10.10 Power
SUMMARY
QUESTIONS AND PROBLEMS


Using Energy

11.1 Transforming Energy
11.2 Energy in the Body
11.3 Temperature, Thermal Energy, and Heat
11.4 The First Law of Thermodynamics
11.5 Heat Engines
11.6 Heat Pumps
11.7 Entropy and the Second Law of Thermodynamics
11.8 Systems, Energy, and Entropy
SUMMARY
QUESTIONS AND PROBLEMS
PART II SUMMARY Conservation Laws
ONE STEP BEYOND Order Out of Chaos
PART II PROBLEMS



PART III Properties of Matter OVERVIEW Beyond the Particle Model

Thermal Properties of Matter

12.1 The Atomic Model of Matter
12.2 The Atomic Model of an Ideal Gas
12.3 Ideal-Gas Processes
12.4 Thermal Expansion
12.5 Specific Heat and Heat of Transformation
12.6 Calorimetry
12.7 Specific Heats of Gases
12.8 Heat Transfer
12.9 Diffusion
SUMMARY
QUESTIONS AND PROBLEMS


Fluids

13.1 Fluids and Density
13.2 Pressure
13.3 Buoyancy
13.4 Fluids in Motion
13.5 Fluid Dynamics
13.6 Viscosity and Poiseuille’s Equation
13.7 The Circulatory System
SUMMARY
QUESTIONS AND PROBLEMS
PART III SUMMARY Properties of Matter
ONE STEP BEYOND Size and Life
PART III PROBLEMS



PART IV Oscillations and Waves OVERVIEW Motion That Repeats Again and Again

OSCILLATIONS

14.1 Equilibrium and Oscillation
14.2 Linear Restoring Forces and SHM
14.3 Describing Simple Harmonic Motion
14.4 Energy in Simple Harmonic Motion
14.5 Pendulum Motion
14.6 Damped Oscillations
14.7 Driven Oscillations and Resonance
SUMMARY
QUESTIONS AND PROBLEMS


Traveling Waves and Sound

15.1 The Wave Model
15.2 Traveling Waves
15.3 Graphical and Mathematical
Descriptions of Waves
15.4 Sound and Light Waves
15.5 Energy and Intensity
15.6 Loudness of Sound
15.7 The Doppler Effect and Shock Waves
SUMMARY
QUESTIONS AND PROBLEMS


Superposition and Standing Waves

16.1 The Principle of Superposition
16.2 Standing Waves
16.3 Standing Waves on a String
16.4 Standing Sound Waves
16.5 Speech and Hearing
16.6 The Interference of Waves from Two Sources
16.7 Beats
SUMMARY
QUESTIONS AND PROBLEMS
PART IV SUMMARY Oscillations and Waves
ONE STEP BEYOND Waves in the Earth and the Ocean
PART IV PROBLEMS



PART V Optics OVERVIEW Light Is a Wave

Wave Optics

17.1 What Is Light?
17.2 The Interference of Light
17.3 The Diffraction Grating
17.4 Thin-Film Interference
17.5 Single-Slit Diffraction
17.6 Circular-Aperture Diffraction
SUMMARY
QUESTIONS AND PROBLEMS


Ray Optics

18.1 The Ray Model of Light
18.2 Reflection
18.3 Refraction
18.4 Image Formation by Refraction
18.5 Thin Lenses: Ray Tracing
18.6 Image Formation with Spherical Mirrors
18.7 The Thin-Lens Equation
SUMMARY
QUESTIONS AND PROBLEMS


Optical Instruments

19.1 The Camera
19.2 The Human Eye
19.3 The Magnifier
19.4 The Microscope
19.5 The Telescope
19.6 Color and Dispersion
19.7 Resolution of Optical Instruments
SUMMARY
QUESTIONS AND PROBLEMS
PART V SUMMARY Optics
ONE STEP BEYOND Scanning Confocal Microscopy
PART V PROBLEMS



PART VI Electricity and Magnetism OVERVIEW Charges, Currents, and Fields

Electric Fields and Forces

20.1 Charges and Forces
20.2 Charges, Atoms, and Molecules
20.3 Coulomb’s Law
20.4 The Concept of the Electric Field
20.5 The Electric Field from Arrangements of Charges
20.6 Conductors and Electric Fields
20.7 Forces and Torques in Electric Fields
SUMMARY
QUESTIONS AND PROBLEMS


Electric Potential

21.1 Electric Potential Energy and Electric Potential
21.2 Sources of Electric Potential
21.3 Electric Potential and Conservation of Energy
21.4 Calculating the Electric Potential
21.5 Connecting Potential and Field
21.6 The Electrocardiogram
21.7 Capacitance and Capacitors
21.8 Energy and Capacitors
SUMMARY
QUESTIONS AND PROBLEMS


Current and Resistance

22.1 A Model of Current
22.2 Defining and Describing Current
22.3 Batteries and emf
22.4 Connecting Potential and Current
22.5 Ohm’s Law and Resistor Circuits
22.6 Energy and Power
SUMMARY
QUESTIONS AND PROBLEMS


Circuits

23.1 Circuit Elements and Diagrams
23.2 Kirchhoff’s Laws
23.3 Series and Parallel Circuits
23.4 Measuring Voltage and Current
23.5 More Complex Circuits
23.6 Capacitors in Parallel and Series
23.7 RC Circuits
23.8 Electricity in the Nervous System
SUMMARY
QUESTIONS AND PROBLEMS


Magnetic Fields and Forces

24.1 Magnetism
24.2 The Magnetic Field
24.3 Electric Currents Also Create Magnetic Fields
24.4 Calculating the Magnetic Field Due to a Current
24.5 Magnetic Fields Exert Forces on Moving Charges
Detailed Contents
24.6 Magnetic Fields Exert Forces on Currents
24.7 Magnetic Fields Exert Torques on Dipoles
24.8 Magnets and Magnetic Materials
SUMMARY
QUESTIONS AND PROBLEMS


EM Induction and EM Waves

25.1 Induced Currents
25.2 Motional emf
25.3 Magnetic Flux and Lenz’s Law
25.4 Faraday’s Law
25.5 Electromagnetic Waves
25.6 The Photon Model of Electromagnetic Waves
25.7 The Electromagnetic Spectrum
SUMMARY
QUESTIONS AND PROBLEMS


AC Electricity

26.1 Alternating Current
26.2 AC Electricity and Transformers
26.3 Household Electricity
26.4 Biological Effects and Electrical Safety
26.5 Capacitor Circuits
26.6 Inductors and Inductor Circuits
26.7 Oscillation Circuits
SUMMARY
QUESTIONS AND PROBLEMS
PART VI SUMMARY Electricity and Magnetism
ONE STEP BEYOND The Greenhouse Effect and Global Warming
PART VI PROBLEMS



PART VII Modern Physics OVERVIEW New Ways of Looking at the World

Relativity

27.1 Relativity: What’s It All About?
27.2 Galilean Relativity
27.3 Einstein’s Principle of Relativity
27.4 Events and Measurements
27.5 The Relativity of Simultaneity
27.6 Time Dilation
27.7 Length Contraction
27.8 Velocities of Objects in Special Relativity
27.9 Relativistic Momentum
27.10 Relativistic Energy
SUMMARY
QUESTIONS AND PROBLEMS


Quantum Physics

28.1 X Rays and X-Ray Diffraction
28.2 The Photoelectric Effect
28.3 Photons
28.4 Matter Waves
28.5 Energy Is Quantized
28.6 Energy Levels and Quantum Jumps
28.7 The Uncertainty Principle
28.8 Applications and Implications of Quantum Theory
SUMMARY
QUESTIONS AND PROBLEMS


Atoms and Molecules

29.1 Spectroscopy
29.2 Atoms
29.3 Bohr’s Model of Atomic Quantization
29.4 The Bohr Hydrogen Atom
29.5 The Quantum-Mechanical Hydrogen Atom
29.6 Multi-electron Atoms
29.7 Excited States and Spectra
29.8 Molecules
29.9 Stimulated Emission and Lasers
SUMMARY
QUESTIONS AND PROBLEMS


Nuclear Physics

30.1 Nuclear Structure
30.2 Nuclear Stability
30.3 Forces and Energy in the Nucleus
30.4 Radiation and Radioactivity
30.5 Nuclear Decay and Half-Lives
30.6 Medical Applications of Nuclear Physics
30.7 The Ultimate Building Blocks of Matter
SUMMARY
QUESTIONS AND PROBLEMS
PART VII SUMMARY Modern Physics
ONE STEP BEYOND The Physics of Very Cold Atoms
PART VII PROBLEMS



Appendix A Mathematics Review Appendix B Periodic Table of Elements Appendix C Atomic and Nuclear Data Answers to Odd-Numbered Problems