Simulations and interactive equations

Chapter 1 - Science of Physics
Simulations
ErgoBot in encoder signal mode 6
ErgoBot in ticker tape chart mode 6
Real-time graphs of motion with the ErgoBot 6
Electronic keyboard 8
RGB color interactive simulation 22
Solar power simulation using an array of photovoltaic cells 29
Interactive equations

Chapter 2 - Physical Quantities and Measurement
Simulations
Data graphing tool 57
Solve the distance equation for time 60
Solve the equation v=d/t for time 60
Solve the position equation for initial velocity 60
Interactive equations
Density 43
Surface area and volume of geometrical solids 43
Scientific notation 45
Converting time from mixed units 46
Converting units for length, mass, or time 54

Chapter 3 - Position and Velocity
Simulations
Position and displacement in one dimension 70
Displacement and position in two dimensions 71
Displacement in one dimension 73
Displacement in two dimensions 73
Solve the velocity equation for Δt 79
Move ErgoBot by hand to match target velocity 84
Velocity, position, and time (basic version) 84
Velocity, position, and time (more advanced version) 84
Interactive equations
Speed calculator 76
Velocity calculator 76
Average velocity calculator 82
Position for constant velocity 83

Chapter 4 - Acceleration
Simulations
ErgoBot in ticker tape chart mode 111
Graphing tool 111
Real-time graphs of motion with the ErgoBot 111
Acceleration (basic version) 114
Acceleration (more advanced version) 114
Timer utility 114
Interactive equations
Acceleration calculator 106
Velocity in accelerated motion 112
Position in accelerated motion 113

Chapter 5 - Forces and Newton’s Laws
Simulations
Newton's second law (basic version) 144
Newton's second law (more advanced version) 144
Stopwatch utility 155
Interactive equations
Weight calculator 133
Newton's second law calculator 141
Hooke's law calculator 147

Chapter 6 - Motion in Two and Three Dimensions
Simulations
Displacements and navigation in two dimensions 178
Race course simulation 178
Maximizing distance with projectile motion 186
Projectile motion to hit a target 186
Real-time graphs of motion with the ErgoBot 190
Motion down an inclined plane 193
Interactive equations
Vector components 171
Finding angle from vector components 173
Finding magnitude from vector components 173
Acceleration down a ramp 191
Acceleration down a ramp in ramp coordinates 192

Chapter 7 - Circular Motion
Simulations
Circular motion 208
Orbits of Solar System objects 217
Extrasolar planets 219
Interactive equations
Angular velocity 206
Linear velocity and angular velocity 207
Centripetal acceleration 209
Centripetal force 209
Law of universal gravitation calculator 214

Chapter 8 - Static Equilibrium and Torque
Simulations
Static equilibrium for a lever 239
Static equilibrium for a simply supported beam 239
Strength and structures 246
Interactive equations
Torque calculator 236
Rotational equilibrium for a see-saw 238

Chapter 9 - Work and Energy
Simulations
Data graphing tool 260
Real-time graphs of motion with the ErgoBot 260
Interactive equations
Work equation calculator 255
Kinetic energy equation 256
Gravitational potential energy 257
Elastic potential energy equation 259
Power equation calculator 263
Electric power equation 264

Chapter 10 - Conservation of Energy
Simulations
Motion down an inclined plane 283
Real-time graphs of motion with the ErgoBot 295
Interactive equations
Conservation of kinetic and gravitational potential energy 281
Conservation of kinetic and potential energy 288
Efficiency 294

Chapter 11 - Momentum and Collisions
Simulations
Spring-loaded carts 314
Elastic collisions between two balls 320
Perfectly inelastic collisions between two balls 320
Interactive equations
Momentum calculator 306
Impulse is the product of force and time applied 308
Impulse is the change in momentum 309
Conservation of momentum in collisions 319

Chapter 12 - Machines
Simulations
Wind power design simulation 355
Interactive equations
Mechanical advantage 333
Mechanical advantage of a lever 335
Efficiency and work 341
Ideal mechanical advantage 341
Mechanical advantage of a wheel and axle 342
Gear ratio 343
Mechanical advantage of two gears 343

Chapter 13 - Angular Momentum
Simulations
Stopwatch and timer utility 369
Interactive equations
Angular momentum 367
Moment of inertia and angular momentum 368

Chapter 14 - Harmonic Motion
Simulations
Stopwatch utility 391
Oscillating spring 395
Stopwatch and timer utility 402
Interactive equations
Frequency and period equation 390

Chapter 15 - Waves
Simulations
Waves 411
Wave interactions 419
Standing waves on a vibrating string 430
Interactive equations
Speed, wavelength, and frequency of a wave 413

Chapter 16 - Sound
Simulations
Sound waves and the keyboard 441
Doppler effect simulation 447
Seeing and hearing sound waves 449
Create sound with more than one frequency 453
Spectrum analyzer for sound with more than one frequency 453
Create sound with multiple frequencies 456
Interactive equations
Speed of sound 445

Chapter 17 - Electricity and Circuits
Simulations
Interactive equations
Ohm’s law 480
Ohm's law in voltage drop form 487
Series resistance equation calculator 488
Adding resistances in parallel 490
Electrical power 494
Electrical power 496

Chapter 18 - Electric and Magnetic Fields
Simulations
Magnetic field of Earth and a bar magnet 516
Electric field around charged objects 528
Interactive equations
Coulomb's law equation calculator 524

Chapter 19 - Electromagnetism
Simulations
Electric motor simulation 552
Interactive equations

Chapter 20 - Light and Reflection
Simulations
Images in concave spherical mirrors 598
Images in convex spherical mirrors 598
Interactive equations
Intensity of light 581
Magnification 587
Law of reflection 592

Chapter 21 - Refraction and Lenses
Simulations
Forming images with a convex lens 616
Compound optics 622
Model corrective lenses using the compound optics simulation 624
Interactive equations
Snell's law 607
Snell's law of refraction 608
Critical angle for internal reflection 609
Thin lens formula 617
Magnification from object and image distances 618
Model the lens in the human eye using the thin lens formula 623

Chapter 22 - Electromagnetic Radiation
Simulations
Color, frequency, and wavelength of light 634
Photoelectric effect interactive simulation 651
Interactive equations
Speed, frequency, and wavelength of light 633
Index of refraction and the speed of light 638
Electromagnetic spectrum 641
Wavelength and speed of light in different media 641
Photon energy calculator 649
Photoelectric effect and work function 650

Chapter 23 - Properties of Matter
Simulations
Phases of matter simulation 668
Ideal gas simulation for a piston 676
Interactive equations
Celsius and Fahrenheit conversion 665
Converting between temperatures in kelvin and degrees Celsius 665
Thermal energy per atom 666
Specific heat equation 670
Pressure 673
Ideal gas law for moles 675
Ideal gas law for particles 675
Density 677
Hydrostatic pressure 677

Chapter 24 - Heat Transfer
Simulations
Heat transfer for the walls of a house 704
Interactive equations

Chapter 25 - Thermodynamics
Simulations
Heat engines 744
Interactive equations

Chapter 26 - Quantum Physics and the Atom
Simulations
Rutherford scattering interactive simulation 755
Energy levels of the hydrogen atom 766
Interactive equations
Atomic mass number and isotope calculator 758

Chapter 27 - Nuclear Physics
Simulations
Interactive simulation of nuclear reactor control 811
Interactive equations
Mass-energy equivalence calculator 793
Decay rate equation 802