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Index
Prologue Content Why study Physics? MATHEMATICAL TOOLS Why we need math to study physics? Scalars and Vectors Vector sum and subtraction Vector sum Vector subtraction Vector decomposition Scalar (Dot) product of two vectors Vector (Cross) product Scientific notation and significant figures Notions of derivation and integration Derivatives Table of derivatives Integrals Table of primitives Great Physics teachers, with Eric Mazur MECHANICS Kinematics I: Linear Motion Position, Trajectory and Displacement A trip to Madrid Speed and Velocity Average speed (scalar) Average velocity (vector) Instant speed Instant velocity Thunder and lightning kinematics Acceleration Average acceleration Instant acceleration Acceleration of race cars Jerk and Jounce Jerk Jounce (or snap): Linear Motion equations Uniform rectilinear motion (u.r.m) Uniformly accelerated rectilinear motion (u.a.r.m) Linear Motion Graphics Uniform rectilinear motion graphs Uniform accelerated rectilinear motion graphs Acceleration and displacement calculation using motion graphs Plotting Billy’s bike motion Free Fall Equations Graphics Encounters Projectiles Kinematics II: Rotational Motion Magnitudes of rotational kinematics Angular Displacement Angular Velocity Angular Acceleration Tangent Velocity Period Frequency Centripetal Acceleration Equations of Rotational Motion Kinematics of Earth's rotation Kinematics III: Oscillations Simple Harmonic Motion (S.H.M) S.H.M. Equations S.H.M. Graphics Angular frequency Pendulum and Spring-Mass system Pendulums Spring-mass system Damped Oscillations Forced Oscillations and Resonance The “curious case" of the Tacoma Narrows Bridge Dynamics I: Forces Newton’s Laws First Law (Law of inertia) Second Law (Fundamental Principle of Dynamics) Weight and mass Normal force Friction Table of coefficients of friction for different materials Buoyancy force Tension force Linked-bodies Inclined plane Elastic force. Hook’s Law. Centripetal Force Universal Gravitation Law Fundamental interactions Electromagnetic Force Electroweak Force Strong Nuclear Force Gravitational Force Dynamics II: Energy and Momentum Work Can a force be multiplied by a distance? Gravitational Potential Energy Elastic Potential Energy Mechanical Energy Energy conservation Galileo Galilei and the Tower of Pisa Work-Energy Theorem Study of a skid Average Power Momentum and Impulse Momentum Impulse (Integral form) Impulse (Constat forces) Impulse (graphics) Impulse and variation in momentum Conservation of Momentum Collisions and Explosions Conservation of Momentum in two dimensions Types of collisions Rotational Dynamics Torque Torque (using cross product) Torque (using cross product definition) Can we multiply force by distance and get a different magnitude? Moment of Inertia Moment of inertia (integral form) Moment of inertia (sigma form for discrete bodies) Table of moments of inertia for different bodies Steiner’s Theorem Angular Momentum Angular momentum and moment of inertia Conservation of Angular Momentum Discs and clutches Cats, dancers, and neutron stars Rotational Kinetic Energy Elasticity Tensile Stress and Extensional strain Tensile Stress Extensional strain Young’s Modulus Table of Young’s Modulus for different materials Fluids Hydrostatic Density Pressure Atmospheric pressure Fundamental principle of hydrostatics Archimedes' principle We see 10% of an Iceberg Hydrodynamics Flow Continuity equation Bernoulli equation Great Physics teachers, with Gustavo Klein THERMODYNAMICS Thermodynamics I: Calorimetry Temperature scales Temperature and kinetic energy for gases Heat and thermal balance Relationship between heat and temperature For heterogeneous bodies For homogeneous substances Specific heat Table of specific heats for some substances Latent heat Heat of fusion Heat of vaporization Latent heat table for different substances Calorimetry and “Mates” Thermodynamics II: Gas laws and processes Ideal Gas Law Internal energy of an ideal gas Work and pressure Work on a gas (integral form) Work on a gas (at constant pressure) First Law of Thermodynamics Thermodynamic processes Isothermal process Isovolumetric or isometric process Isobaric process Adiabatic process Molar specific heat for monatomic gases Molar specific heat for diatomic gases Entropy Entropy variation Free expansion Entropy and probability Three particles in a box Second law of thermodynamics Great Physics teachers, with Pablo Mora Great Physics teachers, with Martín Monteiro EPILOGUE APENDIX Quantities and SI units SI Derivate Units SI Prefixes Conversions to Inch-Pound Units Universal Constants ACKNOWLEDGEMENTS ABOUT THE AUTHOR
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