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0. Math Review(0)

Math Review
(0)

1. Intro to Physics Units(0)

Introduction to Units
(0)

Unit Conversions
(0)

Solving Density Problems
(0)

Dimensional Analysis
(0)

Counting Significant Figures
(0)

Operations with Significant Figures
(0)

2. 1D Motion / Kinematics(0)

Vectors, Scalars, & Displacement
(0)

Average Velocity
(0)

Intro to Acceleration
(0)

Position-Time Graphs & Velocity
(0)

Conceptual Problems with Position-Time Graphs
(0)

Velocity-Time Graphs & Acceleration
(0)

Calculating Displacement from Velocity-Time Graphs
(0)

Conceptual Problems with Velocity-Time Graphs
(0)

Calculating Change in Velocity from Acceleration-Time Graphs
(0)

Graphing Position, Velocity, and Acceleration Graphs
(0)

Kinematics Equations
(0)

Vertical Motion and Free Fall
(0)

Catch/Overtake Problems
(0)

3. Vectors(0)

Review of Vectors vs. Scalars
(0)

Introduction to Vectors
(0)

Adding Vectors Graphically
(0)

Vector Composition & Decomposition
(0)

Adding Vectors by Components
(0)

Trig Review
(0)

Unit Vectors
(0)

Introduction to Dot Product (Scalar Product)
(0)

Calculating Dot Product Using Components
(0)

Intro to Cross Product (Vector Product)
(0)

Calculating Cross Product Using Components
(0)

4. 2D Kinematics(0)

Intro to Motion in 2D: Position & Displacement
(0)

Velocity in 2D
(0)

Acceleration in 2D
(0)

Kinematics in 2D
(0)

Intro to Relative Velocity
(0)

5. Projectile Motion(0)

Intro to Projectile Motion: Horizontal Launch
(0)

Negative (Downward) Launch
(0)

Symmetrical Launch
(0)

Projectiles Launched From Moving Vehicles
(0)

Special Equations in Symmetrical Launches
(0)

Positive (Upward) Launch
(0)

Using Equation Substitution
(0)

6. Intro to Forces (Dynamics)(0)

Newton's First & Second Laws
(0)

Types Of Forces & Free Body Diagrams
(0)

Forces & Kinematics
(0)

Vertical Forces & Acceleration
(0)

Vertical Equilibrium & The Normal Force
(0)

Forces in 2D
(0)

Equilibrium in 2D
(0)

Newton's Third Law & Action-Reaction Pairs
(0)

Forces in Connected Systems of Objects
(0)

7. Friction, Inclines, Systems(0)

Inclined Planes
(0)

Kinetic Friction
(0)

Static Friction
(0)

Inclined Planes with Friction
(0)

Systems of Objects with Friction
(0)

Systems of Objects on Inclined Planes with Friction
(0)

Stacked Blocks
(0)

Intro to Springs (Hooke's Law)
(0)

8. Centripetal Forces & Gravitation(0)

Uniform Circular Motion
(0)

Period and Frequency in Uniform Circular Motion
(0)

Centripetal Forces
(0)

Vertical Centripetal Forces
(0)

Flat Curves
(0)

Banked Curves
(0)

Newton's Law of Gravity
(0)

Gravitational Forces in 2D
(0)

Acceleration Due to Gravity
(0)

Satellite Motion: Intro
(0)

Satellite Motion: Speed & Period
(0)

Geosynchronous Orbits
(0)

Overview of Kepler's Laws
(0)

Kepler's First Law
(0)

Kepler's Third Law
(0)

Kepler's Third Law for Elliptical Orbits
(0)

Gravitational Potential Energy
(0)

Gravitational Potential Energy for Systems of Masses
(0)

Escape Velocity
(0)

Energy of Circular Orbits
(0)

Energy of Elliptical Orbits
(0)

Black Holes
(0)

Gravitational Force Inside the Earth
(0)

Mass Distribution with Calculus
(0)

9. Work & Energy(0)

Intro to Energy & Kinetic Energy
(0)

Intro to Calculating Work
(0)

Net Work & Work-Energy Theorem
(0)

Work On Inclined Planes
(0)

Work By Springs
(0)

Work As Area Under F-x Graphs
(0)

Power
(0)

10. Conservation of Energy(0)

Intro to Energy Types
(0)

Gravitational Potential Energy
(0)

Intro to Conservation of Energy
(0)

Energy with Non-Conservative Forces
(0)

Springs & Elastic Potential Energy
(0)

Solving Projectile Motion Using Energy
(0)

Motion Along Curved Paths
(0)

Rollercoaster Problems
(0)

Pendulum Problems
(0)

Energy in Connected Objects (Systems)
(0)

Force & Potential Energy
(0)

11. Momentum & Impulse(0)

Intro to Momentum
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Intro to Impulse
(0)

Impulse with Variable Forces
(0)

Intro to Conservation of Momentum
(0)

Push-Away Problems
(0)

Types of Collisions
(0)

Completely Inelastic Collisions
(0)

Adding Mass to a Moving System
(0)

Collisions & Motion (Momentum & Energy)
(0)

Ballistic Pendulum
(0)

Collisions with Springs
(0)

Elastic Collisions
(0)

How to Identify the Type of Collision
(0)

Intro to Center of Mass
(0)

12. Rotational Kinematics(0)

Rotational Position & Displacement
(0)

More Connect Wheels (Bicycles)
(0)

Rotational Velocity & Acceleration
(0)

Equations of Rotational Motion
(0)

Converting Between Linear & Rotational
(0)

Types of Acceleration in Rotation
(0)

Rolling Motion (Free Wheels)
(0)

Intro to Connected Wheels
(0)

13. Rotational Inertia & Energy(0)

More Conservation of Energy Problems
(0)

Conservation of Energy in Rolling Motion
(0)

Parallel Axis Theorem
(0)

Intro to Moment of Inertia
(0)

Moment of Inertia via Integration
(0)

Moment of Inertia of Systems
(0)

Moment of Inertia & Mass Distribution
(0)

Intro to Rotational Kinetic Energy
(0)

Energy of Rolling Motion
(0)

Types of Motion & Energy
(0)

Conservation of Energy with Rotation
(0)

Torque with Kinematic Equations
(0)

Rotational Dynamics with Two Motions
(0)

Rotational Dynamics of Rolling Motion
(0)

14. Torque & Rotational Dynamics(0)

Torque & Acceleration (Rotational Dynamics)
(0)

How to Solve: Energy vs Torque
(0)

Torque Due to Weight
(0)

Intro to Torque
(0)

Net Torque & Sign of Torque
(0)

Torque on Discs & Pulleys
(0)

15. Rotational Equilibrium(0)

Equilibrium with Multiple Objects
(0)

Equilibrium with Multiple Supports
(0)

Center of Mass & Simple Balance
(0)

Equilibrium in 2D - Ladder Problems
(0)

Beam / Shelf Against a Wall
(0)

More 2D Equilibrium Problems
(0)

Review: Center of Mass
(0)

Torque & Equilibrium
(0)

16. Angular Momentum(0)

Opening/Closing Arms on Rotating Stool
(0)

Conservation of Angular Momentum
(0)

Angular Momentum & Newton's Second Law
(0)

Intro to Angular Collisions
(0)

Jumping Into/Out of Moving Disc
(0)

Spinning on String of Variable Length
(0)

Angular Collisions with Linear Motion
(0)

Intro to Angular Momentum
(0)

Angular Momentum of a Point Mass
(0)

Angular Momentum of Objects in Linear Motion
(0)

17. Periodic Motion(0)

Spring Force (Hooke's Law)
(0)

Intro to Simple Harmonic Motion (Horizontal Springs)
(0)

Energy in Simple Harmonic Motion
(0)

Simple Harmonic Motion of Vertical Springs
(0)

Simple Harmonic Motion of Pendulums
(0)

Energy in Pendulums
(0)

18. Waves & Sound(0)

Intro to Waves
(0)

Velocity of Transverse Waves
(0)

Velocity of Longitudinal Waves
(0)

Wave Functions
(0)

Phase Constant
(0)

Average Power of Waves on Strings
(0)

Wave Intensity
(0)

Sound Intensity
(0)

Wave Interference
(0)

Superposition of Wave Functions
(0)

Standing Waves
(0)

Standing Wave Functions
(0)

Standing Sound Waves
(0)

Beats
(0)

The Doppler Effect
(0)

19. Fluid Mechanics(0)

Density
(0)

Intro to Pressure
(0)

Pascal's Law & Hydraulic Lift
(0)

Pressure Gauge: Barometer
(0)

Pressure Gauge: Manometer
(0)

Pressure Gauge: U-shaped Tube
(0)

Buoyancy & Buoyant Force
(0)

Ideal vs Real Fluids
(0)

Fluid Flow & Continuity Equation
(0)

20. Heat and Temperature(0)

Temperature
(0)

Linear Thermal Expansion
(0)

Volume Thermal Expansion
(0)

Moles and Avogadro's Number
(0)

Specific Heat & Temperature Changes
(0)

Latent Heat & Phase Changes
(0)

Intro to Calorimetry
(0)

Calorimetry with Temperature and Phase Changes
(0)

Advanced Calorimetry: Equilibrium Temperature with Phase Changes
(0)

Phase Diagrams, Triple Points and Critical Points
(0)

Heat Transfer
(0)

21. Kinetic Theory of Ideal Gases(0)

The Ideal Gas Law
(0)

Kinetic-Molecular Theory of Gases
(0)

Average Kinetic Energy of Gases
(0)

Internal Energy of Gases
(0)

Root-Mean-Square Velocity of Gases
(0)

Mean Free Path of Gases
(0)

Speed Distribution of Ideal Gases
(0)

22. The First Law of Thermodynamics(0)

Heat Equations for Special Processes & Molar Specific Heats
(0)

First Law of Thermodynamics
(0)

Work Done Through Multiple Processes
(0)

Cyclic Thermodynamic Processes
(0)

PV Diagrams & Work
(0)

23. The Second Law of Thermodynamics(0)

Heat Engines and the Second Law of Thermodynamics
(0)

Heat Engines & PV Diagrams
(0)

The Otto Cycle
(0)

The Carnot Cycle
(0)

Refrigerators
(0)

Entropy and the Second Law of Thermodynamics
(0)

Entropy Equations for Special Processes
(0)

Statistical Interpretation of Entropy
(0)

24. Electric Force & Field; Gauss' Law(0)

Electric Charge
(0)

Charging Objects
(0)

Charging By Induction
(0)

Conservation of Charge
(0)

Coulomb's Law (Electric Force)
(0)

Electric Field
(0)

Electric Fields in Capacitors
(0)

Electric Field Lines
(0)

Dipole Moment
(0)

Electric Fields in Conductors
(0)

Electric Flux
(0)

Gauss' Law
(0)

25. Electric Potential(0)

Electric Potential Energy
(0)

Electric Potential
(0)

Work From Electric Force
(0)

Relationships Between Force, Field, Energy, Potential
(0)

The ElectronVolt
(0)

Equipotential Surfaces
(0)

26. Capacitors & Dielectrics(0)

Capacitors & Capacitance
(0)

Parallel Plate Capacitors
(0)

Energy Stored by Capacitor
(0)

Capacitance Using Calculus
(0)

Combining Capacitors in Series & Parallel
(0)

Solving Capacitor Circuits
(0)

Intro To Dielectrics
(0)

How Dielectrics Work
(0)

Dielectric Breakdown
(0)

27. Resistors & DC Circuits(0)

Intro to Current
(0)

Resistors and Ohm's Law
(0)

Power in Circuits
(0)

Microscopic View of Current
(0)

Combining Resistors in Series & Parallel
(0)

Kirchhoff's Junction Rule
(0)

Solving Resistor Circuits
(0)

Kirchhoff's Loop Rule
(0)

28. Magnetic Fields and Forces(0)

Magnets and Magnetic Fields
(0)

Summary of Magnetism Problems
(0)

Force on Moving Charges & Right Hand Rule
(0)

Circular Motion of Charges in Magnetic Fields
(0)

Mass Spectrometer
(0)

Magnetic Force on Current-Carrying Wire
(0)

Force and Torque on Current Loops
(0)

29. Sources of Magnetic Field(0)

Magnetic Field Produced by Moving Charges
(0)

Magnetic Field Produced by Straight Currents
(0)

Magnetic Force Between Parallel Currents
(0)

Magnetic Force Between Two Moving Charges
(0)

Magnetic Field Produced by Loops andSolenoids
(0)

Toroidal Solenoids aka Toroids
(0)

Biot-Savart Law (Calculus)
(0)

Ampere's Law (Calculus)
(0)

30. Induction and Inductance(0)

Intro to Induction
(0)

Magnetic Flux
(0)

Faraday's Law
(0)

Lenz's Law
(0)

Motional EMF
(0)

Transformers
(0)

Mutual Inductance
(0)

Self Inductance
(0)

Inductors
(0)

LR Circuits
(0)

LC Circuits
(0)

LRC Circuits
(0)

31. Alternating Current(0)

Alternating Voltages and Currents
(0)

RMS Current and Voltage
(0)

Phasors
(0)

Resistors in AC Circuits
(0)

Phasors for Resistors
(0)

Capacitors in AC Circuits
(0)

Phasors for Capacitors
(0)

Inductors in AC Circuits
(0)

Phasors for Inductors
(0)

Impedance in AC Circuits
(0)

Series LRC Circuits
(0)

Resonance in Series LRC Circuits
(0)

Power in AC Circuits
(0)

32. Electromagnetic Waves(0)

Intro to Electromagnetic (EM) Waves
(0)

The Electromagnetic Spectrum
(0)

Intensity of EM Waves
(0)

Wavefunctions of EM Waves
(0)

Radiation Pressure
(0)

Polarization & Polarization Filters
(0)

The Doppler Effect of Light
(0)

33. Geometric Optics(0)

Ray Nature Of Light
(0)

Reflection of Light
(0)

Index of Refraction
(0)

Refraction of Light & Snell's Law
(0)

Total Internal Reflection
(0)

Ray Diagrams For Mirrors
(0)

Mirror Equation
(0)

Refraction At Spherical Surfaces
(0)

Ray Diagrams For Lenses
(0)

Thin Lens And Lens Maker Equations
(0)

34. Wave Optics(0)

Diffraction
(0)

Diffraction with Huygen's Principle
(0)

Young's Double Slit Experiment
(0)

Single Slit Diffraction
(0)

35. Special Relativity(0)

Inertial Reference Frames
(0)

Special Vs. Galilean Relativity
(0)

Consequences of Relativity
(0)

Lorentz Transformations
(0)

3. Vectors

Trig Review

3. Vectors

Trig Review: Videos & Practice Problems

Video Lessons Practice Worksheet

Trig Review Practice Problems

15 problems

Problem 1Multiple Choice

James loves using online map services to drive. On a drive to a bookshop, he drives north for 4.5 km, then 2.8 km west, and then 1.3 km south. Using the method of components find the magnitude and direction of the resultant displacement.

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Problem 2Multiple Choice

A vector has a reference angle of 30 degrees relative to the y-axis in the first quadrant. What is its absolute angle relative to the positive x-axis?

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Problem 3Multiple Choice

Which of the following statements is true regarding the magnitude of vectors?

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Problem 4Multiple Choice

Given a vector in the third quadrant with a magnitude of 10 units and an angle of 45 degrees from the negative x-axis, calculate its x and y components.

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Problem 5Multiple Choice

If a vector is pointing northwest, what are the signs of its x and y components?

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Problem 6Multiple Choice

A vector makes an angle of 60 degrees with the positive y-axis in the second quadrant. What is its reference angle relative to the x-axis?

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Problem 7Multiple Choice

Which trigonometric function can be used to find the angle of a vector given its opposite and adjacent sides?

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Problem 8Multiple Choice

A vector is described as 20 units 'north of east.' What is the angle of this vector with respect to the positive x-axis?

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Problem 9Multiple Choice

A vector in the second quadrant has components x = -12 units and y = 5 units. What is the magnitude of the vector?

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Problem 10Multiple Choice

What are the signs of the x and y components of a vector in the fourth quadrant?

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Problem 11Multiple Choice

If the tangent of a vector's angle is 1, what is the angle in degrees?

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Problem 12Multiple Choice

A vector in the third quadrant has components x = -8 units and y = -15 units. What is the magnitude of the vector?

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Problem 13Multiple Choice

In which quadrant can a vector have a negative magnitude?

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Problem 14Multiple Choice

A vector makes an angle of 45 degrees with the negative y-axis in the fourth quadrant. What is its reference angle relative to the x-axis?

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Problem 15Multiple Choice

Given a vector in the first quadrant with an angle of 30 degrees and a magnitude of 20 units, determine the vector's x and y components.

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Adding Vectors by Components Practice Problems Unit Vectors Practice Problems

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