VECTORS
Dot Product
Cross Product
Magnitude
Direction
X-, Y-Components
Vector Addition
KINEMATICS
Velocity of Two-Dimensional Projectiles
DYNAMICS
Newton’s Second Law
Formula for Force of Kinetic Friction
Formula for Force of Maximum Static Friction
WORK ENERGY AND POWER
Work
Work Done by Gravity
Kinetic Energy
Work-Energy Theorem
Potential Energy
Gravitational Potential Energy
Mechanical Energy
Average Power
Instantaneous Power
SPECIAL MECHANICS
Hooke’s Law
Period of Oscillation of a Spring
Frequency
Potential Energy of a Spring
Velocity of a Spring at the Equilibrium Position
Period of Oscillation of a Pendulum
Velocity of a Pendulum Bob at the Equilibrium Position
LINEAR MOMENTUM
Linear Momentum
Impulse of a Constant Force
Conservation of Energy for an Elastic Collision of Two Particles
Conservation of Momentum for a Collision of Two Particles
Center of Mass for a System of n Particles
Acceleration of the Center of Mass
Momentum of the Center of Mass
ROTATIONAL MOTION
Angular Position
Definition of a Radian
Average Angular Velocity
Average Angular Acceleration
Angular Frequency
Angular Period
Relations between Linear and Angular Variables
Equations for Rotational and Angular Kinematics with Constant Acceleration
Torque As Trigonometric Function
Component Form of the Torque Equation
Torque As Cross Product
Newton’s Second Law in Terms of Rotational Motion
Moment of Inertia
Kinetic Energy of Rotation
Angular Momentum of a Particle
Component Form of the Angular Momentum of a Particle
Angular Momentum of a Rotating Rigid Body
CIRCULAR MOTION AND GRAVITATION
Centripetal Acceleration
Centripetal Force
Newton’s Law of Universal Gravitation
Acceleration Due to Gravity at the Surface of a Planet
Velocity of a Satellite in Orbit
Gravitational Potential Energy
Kinetic Energy of a Satellite in Orbit
Total Energy of a Satellite in Orbit
Kepler’s Third Law
THERMAL PHYSICS
Conversion between Fahrenheit and Celsius
Conversion between Celsius and Kelvin
Relationship between Heat and Temperature
Coefficient of Linear Expansion
Coefficient of Volume Expansion
Ideal Gas Law
Boyle’s Law
Charles’s Law
First Law of Thermodynamics
Efficiency of a Heat Engine
Theoretical Limits on Heat Engine Efficiency
ELECTRIC FIELD FORCE POTENTIAL
Coulomb’s Law
The Law of Superposition
Definition of the Electric Field
Electric Potential Energy
Work Done by an Electric Field
Electric Potential
DC CIRCUITS
Ohm’s Law
Resistance
Power Dissipated in a Resistor
Heat Dissipated in a Resistor
Equivalent Resistance of Two Resistors in Series
Equivalent Resistance of Two Resistors in Parallel
Stored Energy of a Capacitor
Equivalent Capacitance of Two Capacitors in Series
Equivalent Capacitance of Two Capacitors in Parallel
MAGNETISM
Magnetic Force on a Moving Charge
Magnitude of the Magnetic Force on a Moving Charge
Radius of the Circle Described by a Charged Particle Moving Perpendicular to a Magnetic Field
Magnetic Force on a Current
Magnetic Field Created by a Current
ELECTROMAGNETIC INDUCTION
Motional Emf
Magnetic Flux
Faraday’s Law / Lenz’s Law
Emf Induced in a Transformer
WAVES
Frequency of Periodic Oscillation
Speed of Waves on a String
Wave Speed
Wavelength for the Harmonic Series
Frequency for the Harmonic Series
Beat Frequency
Doppler Shift
OPTICS
Frequency of an Electromagnetic Wave
Law of Reflection
Index of Refraction
Snell’s Law
Critical Angle
Focal Length for a Spherical Concave Mirror
Mirror and Lens Equation
Magnification
Maxima for Single Slit Diffraction
Minima for Single Slit Diffraction
MODERN PHYSICS
Time Dilation
Length Contraction
Addition of Relativistic Velocities
Relativistic Mass
Relativistic Kinetic Energy
Mass-Energy Equivalence
Electron-Volts Related to Joules
Energy as a function of frequency
Kinetic Energy of Liberated Photoelectron
Radius of Electron Orbit
Electron Potential Energy in a Hydrogen Atom
De Broglie Wavelength
De Broglie Wavelength for Electron
Heisenberg Uncertainty Principle
Atomic Mass Units in Kilograms
Rate of Radioactive Decay
Half-Life of Radioactive Material