VECTORS Dot Product Cross Product Magnitude Direction X

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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

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