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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
Unit Vectors
1.3
Practice Activities
1.3
References
1.4
Vector Algebra
1.4
Practice Activities
1.5
Position Vectors
1.5
Activities
1.5
References
1.6
Displacement Vectors
1.6
Activities
1.7
Physics Sensemaking
1.7
Practice Activity
1.8
Sensemaking: Units and Numbers
1.8
Units Activities
1.8
Numbers Activities
1.9
Representations of Vectors
1.9
Practice Activities
1.10
Trigonometric Relations
1.10
Practice Activities
1.10
References
1.11
Practice - Vectors
Generic Vectors
Position and Displacement Vectors
Apply
References
1.12
Magnitude and Direction
1.12
Activities
1.13
Challenge - Vectors
Explanation Task Instructions
Explanation Tasks
Calculation Activities
Reflection
2
Motion
2.1
Motion and Physics
2.1
Introductory Activities
2.1
Explanation Activity
2.2
The Particle Model
2.2
Activities: Applying the Particle Model
2.3
Velocity
2.3
Activities
2.4
Relative Motion
2.4
Activities
2.4
References
2.5
Acceleration
2.5
Activities
2.6
Motion Diagrams
2.6
Activity: Drawing a Motion Diagram
2.7
Modeling Motion
2.7
Practice Activities
2.8
Motion Graphs
2.8
Activities
2.9
Representations of Motion
2.9
Practice Activities
2.9
References
2.10
Practice - Motion
Numerical Practice
References
2.11
Sensemaking: Covariational Reasoning
2.11
Activities: Practice Sensemaking
2.12
Challenge - Motion
Explanation Tasks
Calculation Activities
References
3
The Laws of Motion
3.1
What are Forces?
3.1
Introductory Activity
3.1
Activities: Explore forces
3.2
Free-body Diagrams
3.2
Activities
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
Finding Force Components
3.6
Practice Activities
3.6
References
3.7
Solving Symbolic Equations
3.7
Practice Activities
3.8
Practice - Laws of Motion
Practice
References
3.9
A*R*C*S
3.9
Exercises
3.10
Challenge - Laws of Motion
Explanation Tasks
A*R*C*S Activities
References
4
Force Models
4.1
The Gravitational Force
4.1
Activities
4.2
The Gravitational Field
4.2
Activities
4.3
Gravity Near the Surface of the Earth
4.3
Activities
4.4
The Force of Static Friction
4.4
Activities
4.5
The Force of Kinetic Friction
4.5
Activities
4.6
Spring Forces
4.6
Exploring Spring Forces
4.6
Practice with Spring Forces
4.7
Force Analysis for a Single System
4.7
Activities: Practice with Force Analysis
4.8
Practice - Forces
Practice
References
4.9
Special-case Analysis
4.9
Activities
4.10
Challenge - Forces
Explanation Tasks
A*R*C*S Activities
5
Interacting Systems
5.1
Action-Reaction Pairs (Newton’s Third Law)
5.1
Activities
5.2
Tension Forces
5.2
Activities
5.3
Ideal Pulleys
5.3
Activities
5.3
References
5.4
Force Analysis for Interacting Systems
5.4
Activities
5.5
Practice - Systems
Practice
References
5.6
Challenge - Systems
Explanation Tasks
A*R*C*S Activities
5.7
Forces Summary
5.7
Activities: Summarize What You Learned
6
Integrals in Physics
6.1
The Dot Product
6.1
Practice Activity
6.2
Work
6.2
Activities: Exploring Work
6.3
Chop-Multiply-Add: Work for Non-Constant Forces
6.3
Activities
6.4
Using Integrals in Physics
6.4
Activities
6.5
Practice - Integration
Numerical Practice
References
6.6
Challenge - Integration
7
Kinematics
7.1
Constant Acceleration - 1D
7.1
Activities
7.2
A*R*C*S
7.2
Practice Activity
7.3
Constant Acceleration - 2D
7.3
Activities
7.4
Practice - Kinematics
Numerical Practice
Study
Apply
References
7.5
Challenge - Kinematics
7.6
Motion Summary
7.6
Activities: Summarize What You Learned
8
Energy
8.1
What is Energy?
8.1
Forms of Energy
8.1
Energy Transfer
8.1
Energy Activities
8.2
Energy System Diagrams
8.2
Activity: A Falling Apple
8.3
The Work-Energy Theorem
8.3
Activities
8.4
Kinetic Energy
8.4
Kinetic Energy Activities
8.5
Potential Energy
8.5
Activities
8.6
Spring Potential Energy
8.6
Activities
8.7
Gravitational Potential Energy
8.7
Activities
8.8
Energy Analysis
8.8
Activities
8.9
Energy Bar Charts
8.9
Activities
8.10
Practice - Energy
Practice
Study
Apply
8.11
Challenge - Energy
9
Momentum
9.1
What is Momentum?
9.1
Activities
9.2
The Impulse-Momentum Theorem
9.2
Activities
9.3
Momentum Vector Diagrams
9.3
Activities
9.4
Collisions
9.4
Activities
9.5
Practice - Momentum
Numerical Practice
References
9.6
Challenge - Momentum
10
Mechanics
10.1
Potential Energy Diagrams
10.1
Activity: Spring Potential Energy Diagram
10.2
Force and Potential Energy
10.2
Activity: Practice Diagram
10.3
Power
10.3
Activities
10.4
Practice - Mechanics
Numerical Practice
References
10.5
Challenge - Mechanics
10.6
Energy and Momentum Summary
10.6
Activities: Summarize What You Learned
11
Rotational Motion
11.1
Applying Physics Models
11.1
Introductory Activities
11.2
The Cross Product
11.2
Practice Activities
11.3
Centripetal Acceleration
11.3
Model Application - Acceleration Direction
11.3
Model Application - Acceleration Magnitude
11.4
Tangential Acceleration
11.4
Centripetal and Tangential Acceleration
11.5
Angular Motion
11.5
Activities - Units
11.5
Activities - Circling Helicopter
11.6
Uniform Circular Motion
11.6
Activity - Turning Truck
11.7
Nonuniform Circular Motion
11.7
Activity - The Go-kart
11.8
Application: Orbital Motion
11.8
Activities - Motion of the Earth
11.9
Application: Rolling without Slipping
11.9
Warm-up Activity
11.9
Activities
11.10
Practice - Rotational Motion
Practice
References
11.11
Challenge - Rotational Motion
Explanation Tasks
A*R*C*S Activities
12
Torque
12.1
The Rigid-body Model
12.1
Activities
12.2
Extended Free-body Diagrams
12.2
Warm-up Activities
12.2
Activities
12.3
Torque
12.3
Activities
12.4
The Rotational Law of Motion
12.4
The Catapult
12.5
Practice - Torque
Numerical Practice
References
12.6
Torque Analysis
12.6
Real-world Context - The Tree Branch
12.7
Challenge - Torque
Explanation Tasks
A*R*C*S Activities
13
Moment of Inertia
13.1
Center of Mass
13.1
Activities
13.2
Moment of Inertia
13.2
Warm-up Activities
13.2
Activities
13.2
References
13.3
Chop-Multiply-Add: Calculating Moment of Inertia
13.3
Activities
13.4
The Parallel Axis Theorem
13.4
Activities
13.5
Practice - Moments of Inertia
Numerical Practice
References
13.6
Challenge - Moments of Inertia
Explanation Tasks
A*R*C*S Activities
14
Rotational Energy and Angular Momentum
14.1
Rotational Kinetic Energy
14.1
Warm-up Activity - Flywheel
14.1
Activities
14.1
References
14.2
Rotational Work
14.2
Activities
14.3
Angular Momentum
14.3
Activities
14.4
Angular Momentum Vector Diagrams
14.4
Activities - The Bicycle Wheel
14.5
Conservation Analysis
14.5
Activities
14.5
References
14.6
Application: Precession
14.6
Review Activity
14.6
Changing the Direction of the Angular Velocity
14.7
Rotation Summary
14.7
Activities: Summarize What You Learned
14.8
Practice - Rotational Energy and Angular Momentum
Numerical Practice
References
14.9
Challenge - Rotational Energy and Angular Momentum
Explanation Tasks
A*R*C*S Activities
15
Oscillations
15.1
Simple Harmonic Motion
15.1
Introductory Activity
15.1
References
15.2
Graphical Trigonometry
15.2
Graphical Activities
15.2
Activities
15.2
References
15.3
Kinematics Relations
15.3
Activities
15.3
References
15.4
Block on a Spring
15.4
Introductory Activities
15.4
Activities
15.4
References
15.5
Simple Harmonic Motion Model
15.6
Relationship to Circular Motion
15.6
References
15.7
Energy Conservation in SHM
15.7
References
15.8
The Simple Pendulum
15.8
Warm-up Activity
15.8
Activities
15.8
References
15.9
Small-Angle Approximation
15.9
Activities
15.9
References
15.10
The Rigid-Body Pendulum
15.10
References
15.11
Models Including Dissipative Forces
15.11
Activities
15.11
References
15.12
Practice - Oscillations
Practice
References
15.13
Challenge - Oscillations
Study
Apply
16
Waves
16.1
What Are Waves?
16.1
Introductory Activities
16.1
What Are Waves?
16.1
References
16.2
Representing Waves
16.2
History Graphs
16.2
Snapshot Graphs
16.2
Activities
16.2
References
16.3
Sinusoidal Waves
16.3
Activities
16.4
Waves on a String
16.4
Warm-up Activity: Modeling a String
16.4
Activities
16.4
References
16.5
Sound Waves
16.5
Activities
16.5
References
16.6
Wave Intensity
16.6
Warm-up Activity
16.6
Activities
16.6
References
16.7
Loudness
16.7
Activities
16.8
The Doppler Effect
16.8
Warm-up Activity
16.8
Activities
16.8
References
16.9
Practice, Study, and Apply - Waves
Practice
Study
Apply
References
17
Superposition
17.1
Wave Superposition
17.1
Warm-up Activity
17.1
Activities
17.1
References
17.2
Boundaries and Discontinuities
17.2
Warm-up Activity
17.2
References
17.3
Interference
17.3
Activities
17.3
Check Your Answers
17.4
Path Length Difference
17.4
Activities
17.5
Standing Waves
17.5
Activities
17.5
References
17.6
Summary and Extension: 2D Interference
17.6
Activities
18
Physical Optics
18.1
Wave Model for Light
18.1
Wave Model Activities
18.1
References
18.2
Thin Film Interference
18.2
Activities
18.2
References
18.3
Two-Slit Interference
18.3
Two-Slit Interference Activities
18.4
Application: Multiple-Slit Interference
18.4
Multiple-Slit Interference
18.5
Diffraction Gratings
18.5
Diffraction Grating Activities
18.6
Single-Slit Diffraction
18.6
Single-Slit Diffraction Activities
18.7
Quantum Model for Light
18.7
Quantum Model Activities
18.7
References
18.8
Practice - Physical Optics
Practice
References
18.9
Challenge - Physical Optics
Apply
19
Optics
19.1
Ray Model for Light
19.1
Ray Diagram Activities
19.2
The Law of Reflection
19.2
Reflection Activities
19.3
Plane Mirrors
19.3
Plane Mirror Activities
19.3
References
19.4
Refraction
19.4
Exploring Refraction
19.4
Refraction Activities
19.5
Lenses
19.5
Lenses Activities
19.6
Curved Mirrors
19.6
Curved Mirror Activities
19.7
Optics Summary
19.7
Activities: Summarize What You Learned
19.8
Practice - Ray Optics
Practice
References
19.9
Challenge - Ray Optics
Apply
20
Preparation
20.1
Prep - Explanations
20.1
The Mystery of the Two Planets
20.2
Prep - A*R*C*S
20.2
Moving Blocks
Backmatter
🔗
Section
6.5
Practice - Integration
🔗
Subsection
Numerical Practice
🔗
References
References
🔗
[1]
🔗
Numerical practice activities provided by .
