PHYS 221

U of C

Course Overview

Lessons & Practice

I. Welcome

1. Units and Measurement

55min

1.1.2. Example: Converting between units4 min

1.1.3. Practice: Volume Conversion

1.2.1. Unit Conversion5 min

1.2.2. Example: Unit Conversion4 min

1.2.3. Example: Unit Conversion Practice 2 min

1.2.4. Practice: Counting heartbeats2 min

1.3.1. Dimensional Analysis3 min

1.3.2. Example: Dimensional Analysis7 min

1.3.3. Practice: Dimensional Analysis2 min

1.4.1. Significant Figures5 min

1.4.2. Significant Figures in Calculations7 min

1.4.3. Example: Significant Figures4 min

1.4.4. Practice: Significant Figures

1.4.5. Practice: Significant Figures

1.5.1. Percent Error2 min

1.5.2. Example: Percent Error2 min

1.5.3. Practice: Percent Error

1.6.1. Orders of Magnitude4 min

1.7.1. Scientific Notation

1.7.2. Example: Scientific Notation

1.7.3. Practice: Scientific Notation

2. Vectors

7hr

2.1.1. Trigonometry Review10 min

2.1.2. Example: Trigonometry4 min

2.1.3. Example: Trigonometry6 min

2.1.4. Practice: Level 11 min

2.1.5. Practice: Level 22 min

2.1.6. Example: Trigonometry Review

2.1.7. Practice: Trigonometry Review

2.2.1. Scalars & Vectors - Definitions & Examples3 min

2.2.2. Vectors (2D)12 min

2.2.3. Vectors (3D)6 min

2.2.4. Examples: Scalars and Vectors (Sine and Cosine Laws)13 min

2.2.5. Practice: Scalars and Vectors (Sine and Cosine Laws)10 min

2.2.6. Practice: Scalars and Vectors (Catesian Format, Sine Law)16 min

2.2.7. Example: Scalars and Vectors (Rectangular Components)13 min

2.2.8. Practice: Scalars and Vectors (Rectangular Components) 11 min

2.3.1. Vector Operations6 min

2.3.2. Example: Vector Operations10 min

2.3.3. practice quiz: Vector Operations3 Qns

2.3.4. Example: Vector Operations (2D)

2.4.1. Forces in Cartesian Vector Form4 min

2.4.2. Example: Cartesian Vectors, Resultant Magnitude and Direction (2D)

2.4.3. Practice: Vector Components1 min

2.4.4. Practice: Cartesian Vectors, Resultant Magnitude and Direction (2D)

2.5.1. Forces 2D Cartesian Vector Form6 min

2.5.2. Example: Forces Cartesian Vector Form10 min

2.5.3. Practice: Forces Cartesian Vector Form (IMPORTANT!)9 min

2.5.4. Practice: Cartesian force vector11 min

2.6.1. Forces 3D Cartesian Form (IMPORTANT!)11 min

2.6.2. Example 1 - Part 1: 3D Force Vectors 11 min

2.6.3. Example 1 - Part 2: 3D Force Vectors 7 min

2.6.4. Example 2: 3D Force Vectors13 min

2.6.5. Practice 1: 3D Force Vectors10 min

2.6.6. Practice: 3D Vector Practice Questions Part 15 min

2.6.7. Practice: 3D Vector Practice Questions Part 26 min

2.6.8. Example: Forces in Cartesian Vector Form16 min

2.7.1. Vectors and Their Components (2D)5 min

2.7.2. Vector's Magnitude (2D & 3D)2 min

2.7.3. Components of a Vector Using the Angle It Makes Respect to x or y Axis8 min

2.7.4. Example: Vector Between Two Points7 min

2.7.5. Practice: Projectile Motion3 min

2.8.1. Pythagorean Triangles6 min

2.8.2. Example: Pythagorean Triple (Small Triangle)

2.8.3. Practice: Pythagorean Triple (Small Triangle)

2.9.1. Planar (Shaded) Angles9 min

2.9.2. Example: Vectors into Cartesian Vector Form (3D)

2.9.3. Practice: Vectors into Cartesian Vector From (3D)

2.10.1. Vector Addition and Subtraction: Algebraic Method 54 sec

2.10.2. Vector Addition and Subtraction: Graphic Methods9 min

2.10.3. Example: Vector Addition6 min

2.10.4. Practice: Algebraic Addition4 min

2.10.5. Practice: Resultant of 2 Vectors1 min

2.10.6. Practice: Vector Addition and Subtraction

2.11.1. Addition of 2D Forces (Components / SOH.CAH.TOA.)7 min

2.11.2. Example: Vectors and Rectangular Components

2.11.3. Practice: Walking to the store2 min

2.11.4. Practice: Vectors and Rectangular Components

2.12.1. Vector Addition of 2D Forces (Force Triangle)5 min

2.12.2. Example: Components along non x-y axes (u-v)

2.12.3. Practice: Using Law of Sine and Cosines / Force Triangle

2.13.1. Cartesian Vectors / Working in 3D5 min

2.13.2. Example: Two Points and Distance Between / Magnitude of Vector

2.13.3. Practice: Magnitude of a 3D Vector5 min

2.13.4. Practice: Cartesian Vectors (3D) - distance between 2 points

2.14.1. Unit Vector (u)7 min

2.14.2. Example: Unit Vector

2.14.3. Practice: Unit Vector1 min

2.14.4. Practice: Unit Vector3 min

2.14.5. Practice: Unit Vector

2.15.1. Position Vectors (r)11 min

2.15.2. Example: Unit and Position Vectors

2.15.3. Practice: 3D Position Vectors

2.15.4. Practice

2.15.5. Practice: Unit and Position Vectors (3D)

2.16.1. Force Directed Along a Line6 min

2.16.2. Example Problem #1: Vector into Cartesian Vector Format (3D)

2.16.3. Practice: Resultant of Two Vectors (3D)

2.17.1. Theory2 min

2.17.2. Dot Product or Scalar Product4 min

2.17.3. Example: Dot Product2 min

2.17.4. Practice - flagpole - angle between cables

2.18.1. Direction Cosine Angles (alpha, beta, gamma)6 min

2.18.2. Example Problem: Direction Cosines

2.18.3. practice: Direction Cosines (3D)11 min

2.18.4. Practice: Direction Cosines and 3D Vector

2.19.1. Cross Product10 min

2.19.2. Right Hand Rule5 min

2.19.3. Example: Cross Product4 min

2.19.4. Practice: Cross Product2 min

2.19.5. Practice: Cross Product

2.20.1. Theory - REVIEW14 min

3. Motion Along a Straight Line

4hr

3.I. Chapter Intro3 min

3.1.1. Distance and Displacement ..8 min

3.1.2. Distance and displacement - quick example2 min

3.2.1. One-Dimensional Kinematics 8 min

3.2.2. Example: Deceleration8 min

3.2.3. Practice: Acceleration and Constant Velocity (Copy catches Car)12 min

3.3.1. Motion Diagrams11 min

3.3.2. Example9 min

3.3.3. Practice: Position vs. Time Graphs4 min

3.4.1. Free Fall1 min

3.4.2. Example: Free Fall7 min

3.4.3. Practice: Free Fall 5 min

3.5.1. Kinematic Graphs9 min

3.5.2. Motion Diagrams11 min

3.5.3. Example3 min

3.5.4. Example9 min

3.5.5. Acceleration Concept Clarifiers34 min

3.5.6. Practice9 min

3.5.7. Practice (Tricky!)27 min

3.5.8. Practice: Position vs. Time Graphs4 min

3.6.1. Speed and Velocity8 min

3.6.2. Practice10 min

3.6.3. Practice: Rocket man4 min

3.7.1. Acceleration6 min

3.7.2. Example4 min

3.7.3. Practice: Falling object3 min

4. Motion in Two and Three Dimensions

2.6hr

4.1.1. Two- and Three-Dimensional Kinematics : Part 19 min

4.1.2. Two- and Three-Dimensional Kinematics: Part 27 min

4.1.3. Example: Particle Motion in 3D8 min

4.1.4. Practice: Projectile motion

4.2.1. Position Vector11 min

4.2.2. Two- and Three-Dimensional Kinematics : Part 19 min

4.2.3. Practice Question 5: Position Vectors2 min

4.2.4. Practice: Velocity and Acceleration

4.2.5. Example: Velocity and Acceleration8 min

4.2.6. Example: Position from Velocity2 min

4.3.1. Two- and Three-Dimensional Kinematics : Part 19 min

4.3.2. Two- and Three-Dimensional Kinematics: Part 27 min

4.3.3. Example: Particle Motion in 3D8 min

4.3.4. Practice: Projectile motion

4.4.1. Projectile Motion9 min

4.4.2. Example: Projectile Motion4 min

4.4.3. Practice: Projectile Motion10 min

4.5.1. Uniform Circular Motion6 min

4.5.2. Period and Frequency 7 min

4.5.3. Example: Uniform circular motion6 min

4.5.4. Practice : Circular Motion - Ball on a String

4.5.5. Practice: Circular Motion - Car Rounding a Curve5 min

4.6.1. Relative Velocity11 min

4.6.2. Example: 9 min

4.6.3. Practice: Relative Velocity11 min

5. Newton's Laws of Motion

4hr

5.1.1. Newton's Laws of Motion7 min

5.1.2. Practice: Interacting Blocks11 min

5.1.3. Practice: Tension

5.1.4. Practice: Three books on a table8 min

5.1.5. Example: Newton's

5.2.1. Free Body Diagrams7 min

5.2.2. Example: Free Body Diagrams 8 min

5.2.3. Inclined Surfaces 7 min

5.2.4. Example8 min

5.2.5. Practice11 min

5.2.6. Practice: Free Body Diagram II

5.2.7. Practice: Free Body Diagram I

5.3.1. Gravitational Force7 min

5.3.2. The Special Case of Earth 4 min

5.3.3. Example: Weight at Higher Elevations6 min

5.3.4. Practice: Gravitational Forces8 min

5.4.1. Normal Force 6 min

5.4.2. Example: Weightlessness6 min

5.4.3. Practice: Man in an elevator

5.5.1. Tension4 min

5.5.2. Example: Force and Newton’s Laws of Motion7 min

5.5.3. Practice: Box Hanging from To Wires8 min

5.6.1. Spring Force4 min

5.6.2. Example: Hooke's Law4 min

5.6.3. Practice: Hooke's Law

5.6.4. Practice: Spring Force function graph2 min

5.7.1. Electrostatic Force9 min

5.7.2. Example: Coulomb's Law9 min

5.7.3. Practice: Electric Force2 min

5.8.1. Magnetic Force 8 min

5.8.2. Example: Magnetic Force on a moving charge (Lorentz force)3 min

5.8.3. Example: Magnetic Force on an Electron7 min

5.8.4. Practice: Magnetic Force on Moving Charged Particles:7 min

5.8.5. Practice: Magnetic Field and Current Carrying Wires6 min

5.8.6. Practice: Charge Entering a Magnetic Field 3 min

5.9.1. Static Equilibrium3 min

5.9.2. Example: Static Equilibrium of a Ladder15 min

5.9.3. Practice: Static Equilibrium - Man on a Beam13 min

5.9.4. Particle Equilibrium - 2D 6 min

5.9.5. Practice: Particle Equilibrium 2D problems - Part 16 min

5.10.1. Applying Newton's Laws15 min

5.10.2. 1D Motion Concept Clarifier8 min

5.10.3. Example7 min

6. Applications of Newton's Laws

4hr

6.1.1. Mass and Weight3 min

6.1.2. Normal Force2 min

6.1.3. Example: Weightlessness5 min

6.1.4. Kinetic and Static Friction6 min

6.1.5. Example: Box in back of truck4 min

6.1.6. Inclined Plane Problems2 min

6.1.7. Practice: Block on Slope with Friction8 min

6.1.8. Spring Force2 min

6.1.9. Tension Force and Pulleys2 min

6.2.1. Normal Force 3 min

6.2.3. Example: Different Type of Forces9 min

6.2.4. Static and Kinetic Friction11 min

6.2.5. Example: Friction 8 min

6.2.6. Practice: Friction5 min

6.2.7. Newton's Law of Universal Gravitation6 min

6.2.8. Example: Newton’s Law of Universal Gravitation4 min

6.3.1. Inclined Surfaces 7 min

6.3.2. Example: Inclined Surface8 min

6.3.3. Practice: Connecting Blocks on an Incline11 min

6.4.1. Kinetic and Static Friction10 min

6.4.2. Rolling Friction2 min

6.4.3. Example: Sliding on Rough Surface8 min

6.4.4. Practice: Static vs Kinetic (Tricky!)6 min

6.5.1. Centripetal force12 min

6.5.2. Example: Circular Motion with Changing Radii3 min

6.5.3. Practice: Circular Motion - Vertical Circle8 min

6.5.4. Practice: Marble Sliding on a Rotating Hoop (Tricky!)14 min

6.6.1. Inclined Surfaces 7 min

6.6.2. Example: Inclined Surface8 min

6.6.3. Practice: Connecting Blocks on an Incline11 min

6.6.4. Car Turning Around a Circular Section of Road6 min

6.6.5. Example: Car Around a Circular Flat Ramp4 min

6.6.6. Practice: Car Rounding a Banked Turn8 min

6.7.1. Drag Force (Version I)3 min

6.7.2. Drag Force (Version II)3 min

6.7.3. Terminal Velocity6 min

6.7.4. Example: Drag Force (Version I)

6.7.5. Practice: Drag Force (Version II)5 min

7. Work and Kinetic Energy

1.5hr

7.1.1. Mechanical Work10 min

7.1.2. Example: Positive vs. Negative Work4 min

7.1.3. Practice: Work Involving Incline Surface (Ramp)15 min

7.2.1. Mechanical Work13 min

7.2.2. Practice: Work Done by Varying Force

7.2.3. Example: Work Done by a Varying Force (Calc-Based)

7.3.1. Work-energy theorem7 min

7.3.2. Example: Work-Energy Theorem11 min

7.3.3. Practice: work and energy - PE

7.3.4. Practice: Spring and slope problem6 min

7.3.5. Practice: work done2 min

7.4.1. Power3 min

7.4.2. Example: Power in Lifting4 min

7.4.3. Practice: Towing a Car7 min

7.5.1. Work-Energy theorem Theory

7.5.2. The Work-Energy Theorem7 min

8. Potential Energy and Conservation of Energy

1.2hr

8.1.1. Mechanical energy3 min

8.1.2. Example:mechanical energy1 min

8.1.3. Practice: mechanical energy1 min

8.1.4. Kinetic Energy, Gravitational Potential Energy and Conservation of Energy Problem4 min

8.1.5. Practice Question: conservation of mechanical energy1 min

8.2.1. Gravitational Potential Energy2 min

8.2.2. Practice: mechanical energy1 min

8.2.3. Practice example: conservation of energy4 min

8.2.4. Example: Energy conservation on a rollercoaster2 min

8.3.1. Conservative vs Non-Conservative Forces - Part 17 min

8.3.2. Conservative vs Non-Conservative Forces - Part 25 min

8.3.3. Practice: Conservative Forces

8.3.4. Example: Non-Conservative Forces

8.4.1. Conservation of Energy9 min

8.4.2. Example: Work Done by Friction12 min

8.4.3. Practice13 min

8.5.1. Chemical (Food) Energy7 min

8.5.2. Example: Food Energy

8.5.3. Practice: Converting Food to Kinetic Energy

9. Linear Momentum and Collisions

2.3hr

9.1.1. Momentum and Impulse (Basic)3 min

9.1.2. Momentum and Impulse (Calculus-Based)6 min

9.1.3. Example: Impulse on a Soccer Ball3 min

9.1.4. Practice: Impulse on a Ball Hitting Wall11 min

9.1.5. Practice: Momentum of a Force Function (Calculus Based)4 min

9.2.1. Elastic Collision3 min

9.2.2. Elastic Collision with One Object Initially at Rest12 min

9.2.3. Inelastic Collision3 min

9.2.4. Perfectly Inelastic Collision4 min

9.2.5. Example: Inelastic Collision8 min

9.2.6. Practice: Inelastic Collisions4 min

9.2.7. Practice: Elastic Collision (Tricky!)7 min

9.3.1. Conservation of momentum12 min

9.3.2. Example: Collision2 min

9.3.3. Practice: Conservation of Momentum - 2 Carts8 min

9.3.4. Practice: Conservation of momentum - Ball Colliding with Block3 min

9.3.5. Practice: Conservation of Momentum - Two Carts Colliding4 min

9.4.1. Momentum and Impulse3 min

9.4.2. Momentum Conservation in 2D Collisions5 min

9.4.3. Example: Shell Explosion

9.4.4. Practice: Collision of Two Objects (2D)

9.4.5. Practice: 2D Inelastic Collision - Car Crash3 min

9.5.1. Momentum Conservation in the Center of Mass Frame5 min

9.5.2. Shell Explosion (One Object Separating into Two Objects) with Center of Mass Frame3 min

9.6.1. Center of Mass7 min

9.6.2. Center of Mass of Complicated Objects5 min

9.6.4. Practice5 min

9.7.1. Propulsion4 min

10. Fixed-Axis Rotation

3hr

10.1.1. Kinematics Equations for Rotation7 min

10.1.2. Example: Rotating Wheel7 min

10.1.3. Practice: Falling Mass Attached to a Rotating Pulley11 min

10.2.1. Kinetic Energy of a Rotating Body4 min

10.2.2. Example: Falling Mass Attached to a Rotating Pulley8 min

10.2.3. Practice: Kinetic Energy of a Rotating Body (Tricky!)7 min

10.3.1. Moment of Inertia of Discrete Particles3 min

10.3.2. Moment of Inertia3 min

10.3.3. Example: Moment of Inertia (Calculus Based)7 min

10.3.4. Practice: angular momentum - Satellite

10.3.5. Practice: Rotational dynamics - Rotating Blade6 min

10.4.1. Rotational Analog of Newton's Second Law2 min

10.4.2. Example: Rotating Rod7 min

10.4.3. Practice: Falling Mass Attached to a Rotating Pulley11 min

10.5.1. Static Equilibrium3 min

10.5.2. Example15 min

10.5.3. Practice13 min

10.6.1. Torque14 min

10.6.2. Example: Torrque5 min

10.6.3. Practice: Torque9 min

10.7.1. Rotational Analog of Newton's Second Law2 min

10.7.2. Moment of Inertia of Discrete Particles3 min

10.7.3. Moment of Inertia3 min

10.7.4. Example: Rotating Rod7 min

10.7.5. Practice: Falling Mass Attached to a Rotating Pulley11 min

10.7.6. Example (Calculus Based)7 min

10.8.1. Rotational Work and Torque6 min

10.8.2. Example: Kinetic Energy of a Rotating Wheel6 min

10.8.3. Practice: Rotational kinetic energy - falling rod6 min

10.8.4. Practice: Objects rolling down a slope10 min

11. Static Equilibrium and Elasticity

1.7hr

11.1.1. Static Equilibrium3 min

11.1.2. Example: Static Equilibrium of a Ladder15 min

11.1.3. Practice: Static Equilibrium - Man on a Beam13 min

11.2.1. Center of Mass7 min

11.2.2. Center of Mass of Complicated Objects5 min

11.2.3. Example: Center of Mass

11.2.4. Practice: Center of Mass of System of Objects (2D)5 min

11.3.1. Stress and Strain33 min

11.3.2. Elastic Properties of Solids3 min

11.3.3. Practice: Thermal Stress21 min

11.4.1. Stability

12. Gravitation

1.6hr

12.1.1. Newton's Law of Universal Gravitation6 min

12.1.2. Weight far away from Earth3 min

12.1.3. Practice: "g" on different planets

12.1.4. General Gravitatonal Potential Energy3 min

12.2.1. Gravitational Potential Energy2 min

12.3.1. Satellites and Objects in Orbits 6 min

12.3.2. Orbital Energies10 min

12.4.1. Orbits and Energy3 min

12.4.2. Practice: Orbiting problems5 min

12.4.3. Escape Speed2 min

12.4.4. Example: The event horizon3 min

12.4.5. Kepler's Laws3 min

12.4.6. Kepler's Laws12 min

12.4.7. Example8 min

12.4.8. Practice5 min

12.4.9. Practice: Kepler's third law example2 min

12.5.1. Uniform Circular Motion6 min

12.5.2. Period and Frequency 7 min

12.5.3. Example: Uniform circular motion6 min

12.5.4. Practice: Circular Motion - Car Rounding a Curve5 min

12.5.5. Practice : Circular Motion - Ball on a String

13. Fluid Mechanics

52min

13.1.1. Density of a Fluid6 min

13.1.2. Mass and Density60 sec

13.1.3. Pressure8 min

13.1.4. Example: Gauge Pressure

13.1.5. Practice: Vacuum Lifter

13.2.1. Pascal's Principle4 min

13.2.2. Example: Pressure in U-Tube

13.2.3. Practice: U-Tube Filled with Multiple Fluids

13.3.1. Hydraulic Systems 4 min

13.3.2. Example: Hydraulic Lift

13.3.3. Practice: Hydraulic System

13.4.1. Buoyancy9 min

13.4.2. Example: Buoyant Force

13.4.3. Example: Buoyant Force (Tricky!)

13.4.4. Practice: Buoyant Force

13.5.1. Bernoulli's Principle8 min

13.5.2. Flow Rates and Continuity

13.5.3. Example: Venturi System

13.5.4. Practice: Pressure Leaking Tank (Tricky!)

13.6.1. Viscosity5 min

13.6.2. Practice: Viscosity

13.7.1. Surface Tension and Capillarity6 min

Mock Exams

ME.1. Quiz 1 - Mock Assessment23 Qns

ME.2. Quiz 2 - Mock Assessment19 Qns

ME.3. Final Exam - Mock Assessment51 Qns

Quiz 1 Overview

Course Notes

Wizeprep's course notes with hundreds of easy-to-understand explanations, diagrams, and practice problems.

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