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Learning Introductory Physics with Activities
Paul J. Emigh, Rebecka Tumblin, Kathryn Hadley, Danielle Skinner
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Front Matter
1
Vectors
1.1
Introduction to Vectors
1.1
Activities
1.1
References
1.2
Vector Operations
1.2
Vector Addition
1.2
Vector Subtraction
1.2
Multiplication of a Vector by a Scalar
1.2
Practice Activities
1.2
References
1.3
The Dot Product
1.3
Practice Activity
1.4
Unit Vectors
1.4
Practice Activities
1.4
References
1.5
Vector Algebra
1.5
Vector Addition
1.5
Vector Subtraction
1.5
Multiplication of a vector by a scalar
1.5
The dot product of two vectors
1.5
Practice Activities
1.6
Vector Components
1.6
Practice Activities
1.6
References
1.7
Trigonometric Relations
1.7
Practice Activities
1.7
References
1.8
The Cross Product
1.8
Practice Activities
1.9
Practice, Study, and Apply - Vectors
Practice
Study
Apply
References
2
Motion
2.1
Motion and Physics
2.1
Introductory Activities
2.1
Explanation Activity
2.2
Position
2.2
Activities
2.3
Sensemaking: Units and Numbers
2.3
Units Activities
2.3
Numbers Activities
2.4
Displacement
2.4
Activities
2.5
The Particle Model
2.5
Activities: Applying the Particle Model
2.6
Motion Diagrams
2.6
Activities: Practice Drawing a Motion Diagram
2.7
Velocity
2.7
Activities
2.8
Representing Velocity
2.8
Practice Activities
2.9
Motion Graphs
2.9
Activities
2.10
Acceleration
2.10
Activities
2.11
Representing Acceleration
2.11
Activities: Representing Acceleration
2.12
Sensemaking: Covariational Reasoning
2.12
Activities: Practice Sensemaking
2.13
Using Integrals in Physics
2.13
Activities
2.14
Relative Motion
2.14
Activities
2.14
References
2.15
Constant Acceleration - 1D
2.15
Activities
2.16
A*R*C*S
2.16
Practice Activity
2.17
Constant Acceleration - 2D
2.17
Activities
2.18
Motion Summary
2.18
Activities: Summarize What You Learned
2.19
Practice, Study, and Apply - Motion
Practice
Study
Apply
References
3
Forces
3.1
What are Forces?
3.1
Activities: Explore forces
3.2
Free-body Diagrams
3.2
Activities: Practice with Free-body Diagrams
3.3
The Law of Inertia (Newton’s First Law)
3.3
Activity: Explanation Practice
3.4
The Law of Motion (Newton’s Second Law)
3.4
Activities
3.5
Contact Forces
3.5
Activities: Practice with Contact Forces
3.6
The Gravitational Force
3.6
Activities
3.7
The Gravitational Field
3.7
Activities
3.8
Gravity Near the Surface of the Earth
3.8
Activities
3.9
Force Analysis for a Single System
3.9
Activities: Practice with Force Analysis
3.10
Special-case Analysis
3.10
Activities
3.11
The Force of Static Friction
3.11
Activities
3.12
The Force of Kinetic Friction
3.12
Activities
3.13
Tension Forces
3.13
Activities
3.14
Spring Forces
3.14
Exploring Spring Forces
3.14
Activities: Practice with Spring Forces
3.15
Action-Reaction Pairs (Newton’s Third Law)
3.15
Activities
3.16
Force Analysis for Interacting Systems
3.16
Activities
3.17
Ideal Pulleys
3.17
Activities
3.17
References
3.18
Forces Summary
3.18
Activities: Summarize What You Learned
3.19
Practice, Study, and Apply - Forces
Practice
Study
Apply
References
4
Energy and Momentum
4.1
What is Energy?
4.1
Forms of Energy
4.1
Energy Transfer
4.1
Energy Activities
4.2
Energy System Diagrams
4.2
Activity: A Falling Apple
4.3
The Work-Energy Theorem
4.3
Activities
4.4
Work
4.4
Activities: Exploring Work
4.5
Chop-Multiply-Add: Work for Non-Constant Forces
4.5
Activities
4.6
Kinetic Energy
4.6
Kinetic Energy Activities
4.7
Power
4.7
Activities
4.8
Potential Energy
4.8
Activities
4.9
Spring Potential Energy
4.9
Activities
4.10
Gravitational Potential Energy
4.10
Activities
4.11
Energy Analysis
4.11
Activities
4.12
Energy Bar Charts
4.12
Activities
4.13
Potential Energy Diagrams
4.13
Activity: Spring Potential Energy Diagram
4.14
Force and Potential Energy
4.14
Activity: Practice Diagram
4.15
What is Momentum?
4.15
Activities
4.16
The Impulse-Momentum Theorem
4.16
Activities
4.17
Momentum Vector Diagrams
4.17
Activities
4.18
Collisions
4.18
Activities
4.19
Energy and Momentum Summary
4.19
Activities: Summarize What You Learned
4.20
Practice, Study, and Apply - Energy and Momentum
Practice
Study
Apply
5
Rotational Motion
5.1
Applying Physics Models
5.1
Introductory Activities
5.2
Centripetal Acceleration
5.2
Model Application - Acceleration Direction
5.2
Model Application - Acceleration Magnitude
5.3
Tangential Acceleration
5.3
Centripetal and Tangential Acceleration
5.4
Angular Motion
5.4
Activities - Units
5.4
Activities - Circling Helicopter
5.5
Uniform Circular Motion
5.5
Activity - Turning Truck
5.6
Nonuniform Circular Motion
5.6
Activity - The Go-kart
5.7
Application: Orbital Motion
5.7
Activities - Motion of the Earth
5.8
Application: Rolling without Slipping
5.8
Warm-up Activity
5.8
Activities
5.9
The Rigid-body Model
5.9
Activities
5.10
Extended Free-body Diagrams
5.10
Warm-up Activities
5.10
Activities
5.11
Torque
5.11
Activities
5.12
The Rotational Law of Motion
5.12
The Catapult
5.13
Center of Mass
5.13
Activities
5.14
Moment of Inertia
5.14
Warm-up Activities
5.14
Activities
5.14
References
5.15
Chop-Multiply-Add: Calculating Moment of Inertia
5.15
Activities
5.16
The Parallel Axis Theorem
5.16
Activities
5.17
Torque Analysis
5.17
Real-world Context - The Tree Branch
5.18
Rotational Kinetic Energy
5.18
Warm-up Activity - Flywheel
5.18
Activities
5.18
References
5.19
Rotational Work
5.19
Activities
5.20
Angular Momentum
5.20
Activities
5.21
Angular Momentum Vector Diagrams
5.21
Activities - The Bicycle Wheel
5.22
Conservation Analysis
5.22
Activities
5.22
References
5.23
Application: Precession
5.23
Review Activity
5.23
Changing the Direction of the Angular Velocity
5.24
Rotation Summary
5.24
Activities: Summarize What You Learned
5.25
Practice, Study, and Apply - Rotational Motion
Practice
Study
Apply
References
6
Oscillations
6.1
Simple Harmonic Motion
6.1
Introductory Activity
6.1
References
6.2
Graphical Trigonometry
6.2
Graphical Activities
6.2
Activities
6.2
References
6.3
Kinematics Relations
6.3
Activities
6.3
References
6.4
Block on a Spring
6.4
Introductory Activities
6.4
Activities
6.4
References
6.5
Simple Harmonic Motion Model
6.6
Relationship to Circular Motion
6.6
References
6.7
Energy Conservation in SHM
6.7
References
6.8
The Simple Pendulum
6.8
Warm-up Activity
6.8
Activities
6.8
References
6.9
Small-Angle Approximation
6.9
Activities
6.9
References
6.10
The Rigid-Body Pendulum
6.10
References
6.11
Models Including Dissipative Forces
6.11
Activities
6.11
References
6.12
Practice, Study, and Apply - Oscillations
Practice
Study
Apply
References
7
Waves
7.1
What Are Waves?
7.1
Introductory Activities
7.1
What Are Waves?
7.1
References
7.2
Representing Waves
7.2
History Graphs
7.2
Snapshot Graphs
7.2
Activities
7.2
References
7.3
Sinusoidal Waves
7.3
Activities
7.4
Waves on a String
7.4
Warm-up Activity: Modeling a String
7.4
Activities
7.4
References
7.5
Wave Superposition
7.5
Warm-up Activity
7.5
Activities
7.5
References
7.6
Boundaries and Discontinuities
7.6
Warm-up Activity
7.6
References
7.7
Interference
7.7
Activities
7.7
Check Your Answers
7.8
Path Length Difference
7.8
Activities
7.9
Standing Waves
7.9
Activities
7.9
References
7.10
Sound Waves
7.10
Activities
7.10
References
7.11
Wave Intensity
7.11
Warm-up Activity
7.11
Activities
7.11
References
7.12
Loudness
7.12
Activities
7.13
The Doppler Effect
7.13
Warm-up Activity
7.13
Activities
7.13
References
7.14
Summary and Extension: 2D Interference
7.14
Activities
7.15
Practice, Study, and Apply - Waves
Practice
Study
Apply
References
8
Optics
8.1
Ray Model for Light
8.1
Ray Diagram Activities
8.2
The Law of Reflection
8.2
Reflection Activities
8.3
Plane Mirrors
8.3
Plane Mirror Activities
8.3
References
8.4
Refraction
8.4
Exploring Refraction
8.4
Refraction Activities
8.5
Lenses
8.5
Lenses Activities
8.6
Curved Mirrors
8.6
Curved Mirror Activities
8.7
Thin Film Interference
8.7
Activities
8.7
References
8.8
Wave Model for Light
8.8
Wave Model Activities
8.8
References
8.9
Two-Slit Interference
8.9
Two-Slit Interference Activities
8.10
Application: Multiple-Slit Interference
8.10
Multiple-Slit Interference
8.11
Diffraction Gratings
8.11
Diffraction Grating Activities
8.12
Single-Slit Diffraction
8.12
Single-Slit Diffraction Activities
8.13
Quantum Model for Light
8.13
Quantum Model Activities
8.13
References
8.14
Optics Summary
8.14
Activities: Summarize What You Learned
8.15
Practice, Study, and Apply - Optics
Practice
Study
Apply
References
9
Electricity
9.1
What Is Electricity?
9.1
Activities
9.2
Charge
9.2
Activities
9.3
Electric Field
9.3
Activities
9.4
Electric Field Vector Maps
9.4
Activities
9.5
Charge Density
9.5
Activities
9.6
Charge Diagrams
9.6
Activities
9.7
Interlude: Integration
9.7
Warm-up Activities
9.7
Activities
9.8
Coulomb’s Law
9.8
Activities
9.9
Chop-Multiply-Add: Calculating Electric Fields
9.9
Activities
9.10
Area Vectors
9.10
Warm-up Activities
9.10
Activities
9.11
Electric Flux
9.11
Activities
9.12
Gauss’s Law
9.12
Activities
9.13
Using Gauss’s Law
9.13
Gauss’s Law Practice - Infinitely Charged Sheet
9.14
Review: Conservation of Energy
9.14
Activities: Review of Conservation of Energy
9.15
Electric Potential
9.15
Activities
9.16
Chop-Multiply-Add: Calculating Electric Potential
9.16
Warm-Up Activity
9.16
Activities
9.17
Equipotential Graphs
9.17
Activities
9.18
Finding
\(\Delta\)
V from E
9.18
Activities
9.19
Determining E from V
9.19
Warm-Up Activity
9.20
Conductors
9.20
Warm-Up Activity
9.20
Conductor Activities
9.20
References
9.21
Capacitors
9.21
Warm-Up Activity
9.22
Electricity Summary
9.22
Activities: Summarize What You Learned
9.23
Practice, Study, and Apply - Electricity
Practice
Study
Apply
10
Electric Circuits
10.1
Circuits
10.1
Activities
10.2
Voltage
10.2
Activities
10.3
The Loop Rule
10.3
Activities
10.4
Voltage Diagrams
10.5
Electric Current
10.5
Warm-up Activity
10.5
Activities
10.6
The Junction Rule
10.6
Activities
10.7
Circuit Diagrams
10.8
Resistance
10.8
Activities
10.9
Ohm’s Law
10.9
Activities
10.10
Resistors in Circuits: Series and Parallel
10.10
Activities
10.11
Power in Circuits
10.11
Activities
10.12
Capacitors in Circuits: Series and Parallel
10.12
Activities
10.13
RC Charging Circuits
10.13
Activities
10.14
Electric Circuits Summary
10.14
Activities: Summarize What You Learned
11
Magnetism
11.1
What Is Magnetism?
11.1
Warm-up Activities
11.1
Activities
11.1
References
11.2
Magnetic Fields
11.2
Activities
11.2
References
11.3
The Biot-Savart Law
11.3
Activities
11.4
Chop-Multiply-Add: Calculating Magnetic Fields
11.4
Activities
11.5
Magnetic Force
11.5
Activities
11.6
The Lorentz Force
11.6
Activities
11.7
Magnetic Dipoles
11.7
Warm-up Activity
11.7
Activities
11.7
References
11.8
Ampere’s Law
11.8
Activities
11.9
Magnetic Flux
11.10
Induced Current
11.10
Activities
11.11
Faraday’s Law
11.11
Activities
11.12
Inductors
11.13
LC Circuits
11.13
Activities
11.14
LR Circuits
11.14
Activities
11.15
Magnetism Summary
11.15
Activities: Summarize What You Learned
12
Preparation
12.1
Prep - Explanations
12.1
The Mystery of the Two Planets
12.2
Prep - A*R*C*S
12.2
Moving Blocks
Backmatter
Colophon
Colophon
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