Clutch Physics with Calculus Clutch Calc • 1st Edition •

Ch 01: Intro to Physics; Units

Introduction to Units Unit Conversions Solving Density Problems Dimensional Analysis Counting Significant Figures Operations with Significant Figures

Ch 02: 1D Motion / Kinematics

Vectors, Scalars, & Displacement Average Velocity Intro to Acceleration Position-Time Graphs & Velocity Conceptual Problems with Position-Time Graphs Velocity-Time Graphs & Acceleration Calculating Displacement from Velocity-Time Graphs Conceptual Problems with Velocity-Time Graphs Calculating Change in Velocity from Acceleration-Time Graphs Graphing Position, Velocity, and Acceleration Graphs Position Functions and Instantaneous Velocity Velocity Functions & Instantaneous Acceleration Kinematics Equations Vertical Motion and Free Fall Catch/Overtake Problems

Ch 03: Vectors

Review of Vectors vs. Scalars Introduction to Vectors Adding Vectors Graphically Vector Composition & Decomposition Adding Vectors by Components Trig Review Unit Vectors Introduction to Dot Product (Scalar Product) Calculating Dot Product Using Components Intro to Cross Product (Vector Product) Calculating Cross Product Using Components

Ch 04: 2D Kinematics

Intro to Motion in 2D: Position & Displacement Velocity in 2D Acceleration in 2D Kinematics in 2D Position Function in 2D Instantaneous Velocity in 2D Instantaneous Acceleration in 2D Intro to Relative Velocity

Ch 05: Projectile Motion

Intro to Projectile Motion: Horizontal Launch Negative (Downward) Launch Symmetrical Launch Projectiles Launched From Moving Vehicles Special Equations in Symmetrical Launches Positive (Upward) Launch Using Equation Substitution

Ch 06: Intro to Forces (Dynamics)

Newton's First & Second Laws Types Of Forces & Free Body Diagrams Forces & Kinematics Vertical Forces & Acceleration Vertical Equilibrium & The Normal Force Forces with Calculus Forces in 2D Equilibrium in 2D Newton's Third Law & Action-Reaction Pairs Forces in Connected Systems of Objects

Ch 07: Friction, Inclines, Systems

Inclined Planes Kinetic Friction Static Friction Inclined Planes with Friction Systems of Objects with Friction Systems of Objects on Inclined Planes with Friction Stacked Blocks Intro to Springs (Hooke's Law)

Ch 08: Centripetal Forces

Uniform Circular Motion Period and Frequency in Uniform Circular Motion Centripetal Forces Vertical Centripetal Forces Flat Curves Banked Curves

Ch 09: Work & Energy

Intro to Energy & Kinetic Energy Intro to Calculating Work Net Work & Work-Energy Theorem Work On Inclined Planes Work By Springs Work As Area Under F-x Graphs Calculating Work via Integration Power Instantaneous Power

Ch 10: Conservation of Energy

Intro to Energy Types Gravitational Potential Energy Intro to Conservation of Energy Energy with Non-Conservative Forces Springs & Elastic Potential Energy Solving Projectile Motion Using Energy Motion Along Curved Paths Rollercoaster Problems Pendulum Problems Energy in Connected Objects (Systems) Force & Potential Energy

Ch 11: Momentum & Impulse

Intro to Momentum Intro to Impulse Impulse with Variable Forces Calculating Impulse via Integration Intro to Conservation of Momentum Push-Away Problems Types of Collisions Completely Inelastic Collisions Adding Mass to a Moving System Collisions & Motion (Momentum & Energy) Ballistic Pendulum Collisions with Springs Elastic Collisions How to Identify the Type of Collision Intro to Center of Mass

Ch 12: Rotational Kinematics

Rotational Position & Displacement Rotational Velocity & Acceleration Equations of Rotational Motion Converting Between Linear & Rotational Types of Acceleration in Rotation Rolling Motion (Free Wheels) Intro to Connected Wheels More Connect Wheels (Bicycles)

Ch 13: Rotational Inertia & Energy

Intro to Moment of Inertia Moment of Inertia of Systems Moment of Inertia & Mass Distribution Intro to Rotational Kinetic Energy Types of Motion & Energy Energy of Rolling Motion Conservation of Energy with Rotation More Conservation of Energy Problems Conservation of Energy in Rolling Motion Parallel Axis Theorem Moment of Inertia via Integration

Ch 14: Torque & Rotational Dynamics

Intro to Torque Net Torque & Sign of Torque Torque Due to Weight Torque on Discs & Pulleys Torque & Acceleration (Rotational Dynamics) How to Solve: Energy vs Torque Torque with Kinematic Equations Rotational Dynamics with Two Motions Rotational Dynamics of Rolling Motion

Ch 15: Rotational Equilibrium

Torque & Equilibrium Equilibrium with Multiple Objects Equilibrium with Multiple Supports Review: Center of Mass Center of Mass & Simple Balance Equilibrium in 2D - Ladder Problems Beam / Shelf Against a Wall More 2D Equilibrium Problems

Ch 16: Angular Momentum

Intro to Angular Momentum Angular Momentum of a Point Mass Angular Momentum of Objects in Linear Motion Angular Momentum & Newton's Second Law Conservation of Angular Momentum Opening/Closing Arms on Rotating Stool Spinning on String of Variable Length Intro to Angular Collisions Angular Collisions with Linear Motion Jumping Into/Out of Moving Disc

Ch 17: Gravitation

Newton's Law of Gravity Gravitational Forces in 2D Acceleration Due to Gravity Satellite Motion: Intro Satellite Motion: Speed & Period Geosynchronous Orbits Overview of Kepler's Laws Kepler's First Law Kepler's Third Law Kepler's Third Law in Elliptical Orbits Gravitational Potential Energy Gravitational Potential Energy for Systems of Masses Escape Velocity Energy of Circular Orbits Energy of Elliptical Orbits Black Hole Gravitational Force Inside Earth Mass Distributions with Calculus

Ch 18: Periodic Motion

Spring Force (Hooke's Law) Intro to Simple Harmonic Motion (Horizontal Springs) Energy in Simple Harmonic Motion Simple Harmonic Motion of Vertical Springs Simple Harmonic Motion of Pendulums Energy in Pendulums

Ch 19: Waves & Sound

Intro to Waves Wave Functions & Equations of Waves Velocity of Transverse Waves (Strings) Wave Interference Standing Waves Sound Waves Standing Sound Waves Sound Intensity The Doppler Effect Beats

Ch 20: Fluid Mechanics

Density Intro to Pressure Pascal's Law & Hydraulic Lift Pressure Gauge: Barometer Pressure Gauge: Manometer Pressure Gauge: U-shaped Tube Buoyancy & Buoyant Force Ideal vs Real Fluids Fluid Flow & Continuity Equation

Ch 21: Heat and Temperature

Temperature Linear Thermal Expansion Volume Thermal Expansion Moles and Avogadro's Number Specific Heat & Temperature Changes Latent Heat & Phase Changes Intro to Calorimetry Calorimetry with Temperature and Phase Changes Advanced Calorimetry: Equilibrium Temperature with Phase Changes Phase Diagrams, Triple Points and Critical Points Heat Transfer

Ch 22: Kinetic Theory of Ideal Gases

The Ideal Gas Law Kinetic-Molecular Theory of Gases Average Kinetic Energy of Gases Internal Energy of Gases Root-Mean-Square Velocity of Gases Mean Free Path of Gases Speed Distribution of Ideal Gases

Ch 23: The First Law of Thermodynamics

First Law of Thermodynamics PV Diagrams & Work Work Done Through Multiple Processes Isothermal Processes Heat Equations for Special Processes & Molar Specific Heats Cyclic Thermodynamic Processes

Ch 24: The Second Law of Thermodynamics

Heat Engines and the Second Law of Thermodynamics Heat Engines & PV Diagrams The Otto Cycle The Carnot Cycle Refrigerators Entropy and the Second Law of Thermodynamics Entropy Equations for Special Processes Statistical Interpretation of Entropy

Ch 25: Electric Force & Field; Gauss' Law

Electric Charge Charging Objects Charging By Induction Conservation of Charge Coulomb's Law (Electric Force) Coulomb's Law with Calculus Electric Field Electric Fields with Calculus Electric Fields in Capacitors Electric Field Lines Dipole Moment Electric Fields in Conductors Electric Flux Electric Flux with Calculus Gauss' Law with Calculus Gauss' Law

Ch 26: Electric Potential

Electric Potential Energy Electric Potential Work From Electric Force Relationships Between Force, Field, Energy, Potential Potential Difference with Calculus The ElectronVolt Equipotential Surfaces Electric Field As Derivative of Potential

Ch 27: Capacitors & Dielectrics

Capacitors & Capacitance Parallel Plate Capacitors Energy Stored by Capacitor Capacitance Using Calculus Combining Capacitors in Series & Parallel Solving Capacitor Circuits Intro To Dielectrics How Dielectrics Work Dielectric Breakdown

Ch 28: Resistors & DC Circuits

Intro to Current Current with Calculus Resistors and Ohm's Law Power in Circuits Microscopic View of Current Combining Resistors in Series & Parallel Kirchhoff's Junction Rule Solving Resistor Circuits Kirchhoff's Loop Rule

Ch 29: Magnetic Fields and Forces

Magnets and Magnetic Fields Summary of Magnetism Problems Force on Moving Charges & Right Hand Rule Circular Motion of Charges in Magnetic Fields Mass Spectrometer Magnetic Force on Current-Carrying Wire Force and Torque on Current Loops

Ch 30: Sources of Magnetic Field

Magnetic Field Produced by Moving Charges Magnetic Field Produced by Straight Currents Magnetic Force Between Parallel Currents Magnetic Force Between Two Moving Charges Magnetic Field Produced by Loops and Solenoids Toroidal Solenoids aka Toroids Biot-Savart Law (Calculus) Ampere's Law (Calculus)

Ch 31: Induction and Inductance

Intro to Induction Magnetic Flux Magnetic Flux with Calculus Faraday's Law Faraday's Law with Calculus Lenz's Law Motional EMF Transformers Mutual Inductance Self Inductance Inductors LR Circuits LC Circuits LRC Circuits

Ch 32: Alternating Current

Alternating Voltages and Currents RMS Current and Voltage Power in AC Circuits Phasors Resistors in AC Circuits Phasors for Resistors Capacitors in AC Circuits Phasors for Capacitors Inductors in AC Circuits Phasors for Inductors Impedance in AC Circuits Series LRC Circuits Resonance in Series LRC Circuits

Ch 33: Electromagnetic Waves

Intro to Electromagnetic (EM) Waves The Electromagnetic Spectrum Intensity of EM Waves Wavefunctions of EM Waves Radiation Pressure Polarization & Polarization Filters The Doppler Effect of Light

Ch 34: Geometric Optics

Ray Nature Of Light Reflection Of Light Refraction Of Light Total Internal Reflection Ray Diagrams For Mirrors Mirror Equation Refraction At Spherical Surfaces Ray Diagrams For Lenses Thin Lens And Lens Maker Equations

Ch 35: Wave Optics

Diffraction Diffraction with Huygen's Principle Young's Double Slit Experiment Single Slit Diffraction

Ch 37: Special Relativity

Inertial Reference Frames Special Vs. Galilean Relativity Consequences of Relativity Lorentz Transformations