Topic  Name  Description 

Course Introduction  Course Syllabus  
Course Terms of Use  
Unit 1: Introduction to Physics  Unit 1 Learning Outcomes  
1.1: Physical Quantities and Units  OpenStax College: "College Physics"  Read the Preface and sections 1.1 and 1.2 of "Chapter 1: Introduction: The Nature of Science and Physics," on pages 7 to 24. 
Subunit 1.1 Notes  This notes page includes some highlevel takeaways and equations covered in this subunit. Feel free to add to this document; we deliberately left it in DOC format to encourage you to add to and expand it. Consider sharing your notes with your classmates on our discussion forum for this course. 

1.2: Accuracy, Precision, and Significant Figures  OpenStax College: "College Physics"  Read sections 1.3 and 1.4 of "Chapter 1: Introduction: The Nature of Science and Physics" (pages 25 to 32). 
Texas A&M University: "Math Skills Review, Significant Figures"  After reading the College Physics material, please click on the link above, and review these rules on significant digits. 

Unit 2: Motion in a Straight Line  Unit 2 Learning Outcomes  
2.1: Vectors, Scalars, and Coordinate Systems  Khan Academy: "OneDimensional Motion: Displacement, Velocity, and Time"  Please click on the link above and watch this lecture series, pausing to take notes, before moving on to the reading below. 
OpenStax College: "College Physics"  Read sections 2.1 and 2.2 of "Chapter 2: Kinematics" (pages 35 to 39). Look over the corresponding conceptual questions on page 76 to test your understanding of the sections. 

University of Toronto: David Harrison's "Physics Flash Animations: The Derivative of the Sine Function"  Review this demonstration. It will be helpful throughout the course. 

University of Toronto: David Harrison's "Physics Flash Animations: Integration"  Review this demonstration. It will be helpful throughout the course. 

University of Toronto: David Harrison's "Physics Flash Animations: Displacement and Distance"  Please click on the link above, and select the play button to start the animation. Make sure you understand the distinction between distance and displacement made in the resource linked above. 

2.2: Velocity, Speed, and Acceleration  Khan Academy: "OneDimensional Motion: Acceleration"  Please click on the link above and watch this lecture series, pausing to take notes, before moving on to the reading below. 
OpenStax College: "College Physics"  Read sections 2.3 and 2.4 of "Chapter 2: Kinematics" (pages 39 to 51). Look over the corresponding conceptual questions on pages 77 and 78 to test your understanding of the sections. 

University of Toronto: David Harrison's "Physics Flash Animations: Constant Acceleration"  Click the play button to launch the animation. Make sure you understand both the slope (derivative) and areal (integral) meanings of position, velocity, and acceleration. 

2.3: Motion with Constant Acceleration  OpenStax College: "College Physics"  Read sections 2.5 and 2.6 of "Chapter 2: Kinematics" (pages 51 to 61). Look over the corresponding conceptual questions on page 78 to test your understanding of the sections. 
2.4: Falling Objects  Khan Academy: "OneDimensional Motion: Kinematic Formulas and Projectile Motion"  Please click on the link above and watch this lecture series, pausing to take notes, before moving on to the reading below. 
OpenStax College: "College Physics"  Read section 2.7 of "Chapter 2: Kinematics" (pages 62 to 68). Look over the corresponding conceptual questions on page 78 to test your understanding of the sections. 

Jeffery W. Schnick's CalculusBased Physics: "1st Semester SAC Physics Problems”  Work on solving problems 1, 2, and 3 from 106A and 3 from 107. The solutions are available, but make a serious attempt to solve the problems before looking at the solutions. 

2.5: Graphical Analysis  OpenStax College: "College Physics"  Read section 2.8 of "Chapter 2: Kinematics" (pages 68 to 75). Look over the corresponding conceptual questions on pages 7880 to test your understanding of the sections. 
Jeffery W. Schnick's CalculusBased Physics: "1st Semester SAC Physics Problems”  Work on solving problems 1, 2, and 3 from SAC108. The solutions are available, but make a serious attempt to solve the problems before looking at the solutions. 

University of Toronto: David Harrison's "Physics Flash Animations: Racing Balls"  Before running the animation, make an educated guess about which of the two balls will reach the wall first. If your prediction is wrong, figure out why. To view the animation, click on the link above and then select the play button. Hint: Think of a speed vs. time graph. 

Unit 3: Kinematics in Two Dimensions  Unit 3 Learning Outcomes  
3.1: Kinematics in Two Dimensions  OpenStax College: "College Physics"  Read section 3.1 of "Chapter 3: TwoDimensional Kinematics" (pages 85 to 88). 
3.2: Vector Addition and Subtraction  Massachusetts Institute of Technology: "Review of Vectors"  Read this material carefully before viewing the Khan Academy lecture sequence below. 
Khan Academy: "TwoDimensional Motion: TwoDimensional Projectile Motion"  Watch this lecture series, pausing to take notes, before moving on to the reading below. Don't worry if it seems intimidating. We will review the dot and cross products at a more appropriate level later when they are needed for this course. 

University of Toronto: David Harrison's "Physics Flash Animations: Galilean Relativity"  Click the play button to start the animation. Observe that the physical result (the ball falls at the sailor's feet) is independent of our position while we watch the event as well as our movement relative to the event we are observing. This illustrates the same principle as the cart and golf ball in the previous lecture. 

University of Toronto: David Harrison's "Physics Flash Animations: Vector Addition"  Click the play button to start the animation. 

University of Toronto: David Harrison's "Physics Flash Animations: Adding 3 Vectors"  Click the play button to start the animation. 

University of Toronto: David Harrison's "Physics Flash Animations: Adding Vector Components"  Click the play button to start the animation. 

University of Toronto: David Harrison's "Physics Flash Animations: Unit Vectors"  Click the play button to start the animation. In this animation, you will vary the x and y components of a vector and observe the resulting vector and its magnitude. 

3.3: Constant Acceleration Motion  OpenStax College: "College Physics"  Read sections 3.2 and 3.3 of "Chapter 3: TwoDimensional Kinematics" (pages 88 to 100). Look over the corresponding conceptual questions on pages 116 and 117 to test your understanding of the sections. 
Jeffery W. Schnick's CalculusBased Physics: "1st Semester SAC Physics Problems”  Work on solving problems 1, 2, and 3 from SAC106 and problems 1 through 4 from SAC109A. The solutions are available, but make a serious attempt to solve the problems before looking at the solutions. 

3.4: Projectile Motion  OpenStax College: "College Physics"  Read sections 3.4 and 3.5 of "Chapter 3: TwoDimensional Kinematics" (pages 101 to 113). Look over the corresponding conceptual questions on page 117 to test your understanding of the sections. 
University of Toronto: David Harrison's "Physics Flash Animations: Kinematics of Projectile Motion"  Click the play button to start the animation. View the 3 frames to understand the relative roles of position, velocity, and acceleration in projectile motion. 

University of Toronto: David Harrison's "Physics Flash Animations: Projectile Motion"  Click the play button to start the animation. Vary the controls to create at least 10 different situations. Analyze the results for a few of them to assure yourself that the displayed trajectories accurately represent the projectile's motion under the influence of gravity. Do you find the gravitational acceleration to be 9.8 m/s^{2}? 

University of Toronto: David Harrison's "Physics Flash Animations: The Monkey and the Hunter"  Click the play button to start the animation. 

University of Toronto: David Harrison's "Physics Flash Animations: Dropping Two Balls near the Earth"  Vary the initial conditions to demonstrate that the vertical acceleration and the horizontal motion are independent of each other. This is a simple version of a common projectile problem. 

Jeffery W. Schnick's CalculusBased Physics: "1st Semester SAC Physics Problems”  Work on solving problems 1, 2, 3, and 4 from SAC10. The solutions are available, but make a serious attempt to solve the problems before looking at the solutions. 

Unit 4: Dynamics  Unit 4 Learning Outcomes  
4.1: Newton's First and Second Laws of Motion  Khan Academy: "Newton's Laws of Motion"  Please click on the link above and watch this lecture series, pausing to take notes, before moving on to the reading below. 
OpenStax College: "College Physics"  Read sections 4.1, 4.2, and 4.3 of "Chapter 4: Dynamics: Force and Newton's Laws of Motion" (pages 123 to 132). Look over the corresponding conceptual questions on pages 155 and 156 to test your understanding of the sections. 

4.2: Newton's Third Law of Motion and Normal and Tension Forces  Khan Academy: "Normal Force and Contact Force"  Watch this lecture series, pausing to take notes, before moving on to the reading below. 
OpenStax College: "College Physics"  Read sections 4.4 and 4.5 of "Chapter 4: Dynamics: Force and Newton's Laws of Motion" (pages 132 to 142). Look over the corresponding conceptual questions on page 156 to test your understanding of the sections. 

4.3: Applications of Newton's Laws of Motion  Khan Academy: "Balanced and Unbalanced Forces" and "Slow Sock on Lubricon IV"  Watch this lecture series, pausing to take notes, before moving on to the reading below. 
OpenStax College: "College Physics"  Read sections 4.6 and 4.7 of "Chapter 4: Dynamics: Force and Newton's Laws of Motion" (pages 142 to 150). Look over the corresponding conceptual questions on page 156 to test your understanding of the sections. 

Jeffery W. Schnick's "CalculusBased Physics: 1st Semester SAC Physics Problems"  Work on solving problems 1 through 10 from SAC114. The solutions are available, but make a serious attempt to solve the problems before looking at the solutions. 

4.4: Friction  Khan Academy: "Inclined Planes and Friction"  Watch this lecture series, pausing to take notes, before moving on to the reading below. 
OpenStax College: "College Physics"  Read section 5.1 of "Chapter 5: Further Applications of Newton's Laws: Friction, Drag, and Elasticity" (pages 163 to 169). Look over the corresponding conceptual questions on page 182 to test your understanding of the sections. 

Jeffery W. Schnick's "CalculusBased Physics: 1st Semester SAC Physics Problems"  Work on solving problem 3 from SAC102. The solution is available, but make a serious attempt to solve the problem before looking at the solution. 

4.5: Springs  Khan Academy: "Tension"  Watch this lecture series, pausing to take notes, before moving on to the reading below. 
OpenStax College: "College Physics"  Read section 16.1 on Hooke's Law and motion and energy associated with a spring (pages 550 to 553). Look over the corresponding conceptual question on page 582 to test your understanding of the sections. 

University of Toronto: David Harrison's "Physics Flash Animations: Hooke's Law"  Examine this demonstration. Note that the spring always exerts force in the direction that returns the spring to its original unstretched length. 

Jeffery W. Schnick's "CalculusBased Physics: 1st Semester SAC Physics Problems"  Work on solving problems 1 and 2 from SAC102 and 1, 2, and 3 from SAC109. The solutions are available, but make a serious attempt to solve the problems before looking at the solutions. 

4.6: The Simple Pendulum  OpenStax College: "College Physics"  Read section 16.4 on the simple pendulum (pages 559 to 561). Look over the corresponding conceptual question on page 582 to test your understanding of the sections. 
University of Toronto: David Harrison's "Physics Flash Animations: Forces on a Pendulum"  Develop equations of motion for this pendulum that give predictions that agree with the simulated behavior. Is the tension on the string correct for a gravitational field of 9.8 m/s^{2}? 

Jeffery W. Schnick's "CalculusBased Physics: 1st Semester SAC Physics Problems"  Work on solving problems 1 through 4 from SAC127. The solutions are available, but make a serious attempt to solve the problems before looking at the solutions. 

Unit 5: Circular Motion and Gravity  Unit 5 Learning Outcomes  
5.1: Angular Velocity and Acceleration  Khan Academy: "Harmonic Motion"  Watch this lecture series, pausing to take notes, before moving on to the reading below. 
University of Toronto: David Harrison's "Physics Flash Animations: Uniform Circular Motion Is Simple Harmonic Motion"  This resource illustrates the connection between uniform circular motion and the simple harmonic motion associated with Hooke's Law. 

OpenStax College: "College Physics"  Read sections 6.1 and 6.2 of "Chapter 6: Uniform Circular Motion and Gravitation" (pages 187 to 194). Look over the corresponding conceptual questions on page 214 to test your understanding of the sections. 

University of Toronto: David Harrison's "Physics Flash Animations: Right Hand Rule"  Study the animation, which illustrates the rule for determining the direction of the angular velocity vector. 

Jeffery W. Schnick's "CalculusBased Physics: 1st Semester SAC Physics Problems"  Work on solving problems 1 through 6 in SAC116 and 1 through 6 in SAC117. The solutions are available, but make a serious attempt to solve the problems before looking at the solutions. 

5.2: Centripetal Force  Khan Academy: "Centripetal Acceleration"  Watch this lecture series, pausing to take notes, before moving on to the reading below. 
OpenStax College: "College Physics"  Read sections 6.3 and 6.4 of "Chapter 6: Uniform Circular Motion and Gravitation" (pages 194 to 201). Look over the corresponding conceptual questions on pages 214216 to test your understanding of the sections. 

University of Toronto: David Harrison's "Physics Flash Animations: A Mass Moving in a Vertical Circle"  The mass is constrained to move in a vertical circle while feeling the effects of Earth's gravity. Determine how the tension on the string must vary to make this happen as shown. 

Jeffery W. Schnick's "CalculusBased Physics: 1st Semester SAC Physics Problems"  Work on solving problems 1, 2, and 3 from SAC119. The solutions are available, but make a serious attempt to solve the problems before looking at the solutions. 

5.3: Newton's Law of Gravity  Khan Academy: "Newton's Law of Gravitation"  Watch this lecture series, pausing to take notes, before moving on to the reading below. 
OpenStax College: "College Physics"  Read sections 6.5 and 6.6 of "Chapter 6: Uniform Circular Motion and Gravitation" (pages 201 to 212). Look over the corresponding conceptual questions on page 216 to test your understanding of the sections. 

Jeffery W. Schnick's "CalculusBased Physics: 1st Semester SAC Physics Problems"  Work on solving problems 1 through 4 from SAC115. The solutions are available, but make a serious attempt to solve the problems before looking at the solutions. 

Unit 6: Work and Energy  Unit 6 Learning Outcomes  
6.1: Work and Kinetic Energy  Khan Academy: "Work and Kinetic Energy"  Watch this lecture series, pausing to take notes, before moving on to the reading below. 
OpenStax College: "College Physics"  Read sections 7.1 and 7.2 of "Chapter 7: Work, Energy, and Energy Resources" (pages 221 to 228). 

University of Toronto: David Harrison's "Physics Flash Animations: Vector Dot Product"  In this animation, you will vary the angle between the two vectors and observe the effect on the dot product. 

Jeffery W. Schnick's "CalculusBased Physics: 1st Semester SAC Physics Problems"  Work on solving problems 1, 2, and 3 from SAC122. The solutions are available, but make a serious attempt to solve the problems before looking at the solutions. 

6.2: Conservative Forces and Potential Energy  OpenStax College: "College Physics"  Read sections 7.3 and 7.4 of "Chapter 7: Work, Energy, and Energy Resources" (pages 228 to 236). Look over the corresponding conceptual questions on page 254 to test your understanding of the sections. 
6.3: Conservation of Energy  OpenStax College: "College Physics"  Read sections 7.5 and 7.6 of "Chapter 7: Work, Energy, and Energy Resources" (pages 236 to 243). Look over the corresponding conceptual questions on pages 254 and 255 to test your understanding of the sections. 
Jeffery W. Schnick's "CalculusBased Physics: 1st Semester SAC Physics Problems"  Work on solving problems 4, 5, and 6 from SAC102. The solutions are available, but make a serious attempt to solve the problems before looking at the solutions. 

6.4: Power  OpenStax College: "College Physics"  Read sections 7.7, 7.8, and 7.9 of "Chapter 7: Work, Energy, and Energy Resources" (pages 243 to 251). Look over the corresponding conceptual questions on page 255 to test your understanding of the sections. 
Jeffery W. Schnick's "CalculusBased Physics: 1st Semester SAC Physics Problems"  Work on solving problems 1 through 4 from SAC124. The solutions are available, but make a serious attempt to solve the problems before looking at the solutions. 

Unit 7: Momentum and Collisions  Unit 7 Learning Outcomes  
7.1: Momentum and Impulse  OpenStax College: "College Physics"  Read sections 8.1, and 8.2 of "Chapter 8: Linear Momentum and Collisions" (pages 261 to 265). Look over the corresponding conceptual questions on page 282 to test your understanding of the sections. 
Jeffery W. Schnick's "CalculusBased Physics: 1st Semester SAC Physics Problems"  Work on solving problems 1 through 4 from SAC125. The solutions are available, but make a serious attempt to solve the problems before looking at the solutions. 

7.2: Conservation of Momentum in Collisions  Khan Academy: "Momentum"  Watch this lecture series, pausing to take notes, before moving on to the reading below. 
OpenStax College: "College Physics"  Read sections 8.3, 8.4, and 8.5 of "Chapter 8: Linear Momentum and Collisions" (pages 266 to 274). Look over the corresponding conceptual questions on page 282 to test your understanding of the sections. 

University of Toronto: David Harrison's "Physics Flash Animations: Collisions on an Air Track"  This is a classic physics demonstration. Vary the conditions as allowed by the animation and solve the equations of motion based on conservation of momentum and (in the case of elastic collisions) energy. Develop an explanation for any apparent discrepancies. 

Jeffery W. Schnick's "CalculusBased Physics: 1st Semester SAC Physics Problems"  Work on solving problems 1 through 5 from SAC104. The solutions are available, but make a serious attempt to solve the problems before looking at the solutions. 

7.3: Collisions in Two Dimensions  OpenStax College: "College Physics"  Read sections 8.6, and 8.7 of "Chapter 8: Linear Momentum and Collisions" (pages 274 to 280). Look over the corresponding conceptual questions on page 282 and 283 to test your understanding of the sections. 
Unit 8: Statics and Torque  Unit 8 Learning Outcomes  
8.1: Conditions for Equilibrium  OpenStax College: "College Physics"  Read sections 9.1, 9.2, and 9.3 of "Chapter 9: Statics and Torque" (pages 289 to 298). Look over the corresponding conceptual questions on page 310 to test your understanding of the sections. 
Khan Academy: "Cross Product and Torque"  This video discusses torque as a cross product of the lever arm and the force vector and illustrates how the direction of the torque is related to the directions of the lever arm and the force. 

University of Toronto: David Harrison's "Physics Flash Animations: Vector Cross Product"  In this animation, you will vary the angle between the two vectors and observe the effect on the cross product. 

Jeffery W. Schnick's "CalculusBased Physics: 1st Semester SAC Physics Problems"  Work on solving problems 1 and 2 from SAC118. The solutions are available, but make a serious attempt to solve the problems before looking at the solutions. 

8.2: Applications of Statics  OpenStax College: "College Physics"  Read section 9.4 of "Chapter 9: Statics and Torque" (pages 298 to 301). Look over the corresponding conceptual questions on page 310 to test your understanding of the sections. 
Jeffery W. Schnick's "CalculusBased Physics: 1st Semester SAC Physics Problems"  Work on solving problems 1 through 5 from SAC121. The solutions are available, but make a serious attempt to solve the problems before looking at the solutions. 

8.3: Simple Machines  OpenStax College: "College Physics"  Read sections 9.5 and 9.6 of "Chapter 9: Statics and Torque" (pages 301 to 309). Look over the corresponding conceptual questions on pages 310 and 311 to test your understanding of the sections. 
Unit 9: Angular Momentum  Unit 9 Learning Outcomes  
9.1: Kinematics of Rotational Motion  Khan Academy: "Center of Mass"  Watch this lecture, pausing to take notes, before moving on to the reading below. 
OpenStax College: "College Physics"  Read sections 10.1 and 10.2 of "Chapter 10: Rotational Motion and Angular Momentum" (pages 317 to 326). Look over the corresponding conceptual questions on page 348 to test your understanding of the sections. 

James H. Dann and James J. Dann's "People's Physics Book, Chapter 9: Rotational Motion"  Scroll down the page to "Ch 9: Rotational Motion," and select the link to open the PDF document. Read the entirety of Chapter 9. From pages 94 to 910, solve problems 14, 1013, 16, and 21. 

9.2: Dynamics of Rotational Motion  OpenStax College: "College Physics"  Read sections 10.3 and 10.4 of "Chapter 10: Rotational Motion and Angular Momentum" (pages 326 to 336). Look over the corresponding conceptual questions on page 349 to test your understanding of the sections. 
Jeffery W. Schnick's "CalculusBased Physics: 1st Semester SAC Physics Problems"  Work on solving problems 3 from SAC103 and 1, 2, and 3 from SAC123. The solutions are available, but make a serious attempt to solve the problems before looking at the solutions. 

9.3: Conservation of Angular Momentum  OpenStax College: "College Physics"  Read section 10.5 of "Chapter 10: Rotational Motion and Angular Momentum" (pages 336 to 341). Look over the corresponding conceptual questions on pages 349351 to test your understanding of the sections. 
University of Toronto: David Harrison's "Physics Flash Animations: How Does a Cat Land on Its Feet?"  Follow this animation through the various steps until you can convincingly explain what a cat does to land on its feet to a nonphysics student. 

Jeffery W. Schnick's "CalculusBased Physics: 1st Semester SAC Physics Problems"  Work on solving problems 1 through 4 from SAC105. The solutions are available, but make a serious attempt to solve the problems before looking at the solutions. 

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