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31 short lessons covering AP Physics 1, AP Physics 2, and AP Physics C: Mechanics and E&M. Each one has the big idea, the key equations, a fully worked example, common mistakes, a practice question, and a link to the simulation that goes with it. Lessons marked AP 1 exam level add exam-style reasoning and practice for AP Physics 1, and lessons marked C-level also include a “Going deeper” section with calculus derivations, extra worked examples and exam-style practice at the AP Physics C standard.

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Math toolkit

Vectors, Dot & Cross Products

Components, unit vectors, and the dot and cross products that AP Physics C uses for work, torque, flux and magnetic force.

AP 1C: MechC: E&MAP 1 exam levelC-level
Kinematics

Kinematics & Motion Graphs

Position, velocity and acceleration, and how to read and connect x–t, v–t and a–t graphs.

AP 1C: MechAP 1 exam levelC-level
Kinematics

Projectile Motion

Two independent motions at once: constant velocity sideways and free fall up and down.

AP 1C: MechAP 1 exam levelC-level
Force & Dynamics

Newton's Laws, Free-Body Diagrams & Friction

Draw the forces, choose smart axes, and apply ΣF = ma, including static and kinetic friction.

AP 1C: MechAP 1 exam levelC-level
Force & Dynamics

Circular Motion

Why moving in a circle needs a net force toward the centre, and how big it must be.

AP 1C: MechAP 1 exam levelC-level
Energy

Work, Energy & Power

Energy as bookkeeping: kinetic, potential and thermal, and the work that moves energy between them.

AP 1C: MechAP 1 exam levelC-level
Momentum

Momentum, Impulse & Collisions

Momentum is conserved in every collision. Kinetic energy isn't always. Plus impulse and the centre of mass.

AP 1C: MechAP 1 exam levelC-level
Rotation

Torque & Rotational Equilibrium

What makes things turn, and the two conditions for an object to stay perfectly still.

AP 1C: MechAP 1 exam levelC-level
Rotation

Angular Momentum

Why spinning skaters speed up when they pull their arms in.

AP 1C: MechAP 1 exam levelC-level
Rotation

Rolling Motion & Rotational Energy

Why a hoop loses a race to a solid sphere, and how energy splits between moving and spinning.

AP 1C: MechAP 1 exam levelC-level
Oscillations

Simple Harmonic Motion

Springs and pendulums: periods, energy swaps and the sinusoidal motion.

AP 1C: MechAP 1 exam levelC-level
Fluids

Fluids: Pressure, Buoyancy & Bernoulli

Pressure with depth, why things float, and why fast-moving fluid has lower pressure.

AP 1AP 1 exam level
Force & Dynamics

Resistive Forces & Terminal Velocity

Velocity-dependent forces, differential equations and terminal velocity.

C: MechC-level
Energy

Conservative Forces & Potential Energy Curves

F = −dU/dx, turning points, and stable and unstable equilibrium on a U(x) graph.

C: MechC-level
Gravitation

Gravitation, Orbits & Kepler's Laws

Newton's law of gravitation, circular and elliptical orbits, and escape speed.

C: MechAP 1AP 1 exam levelC-level
Thermodynamics

Thermodynamics & the Ideal Gas

PV = nRT, PV diagrams, and the first law: ΔU = Q + W.

AP 2
Electric charge

Electric Charge & Charging Methods

Conservation of charge, conductors vs insulators, and charging by friction, conduction and induction.

AP 2C: E&MC-level
Electric force

Coulomb's Law & Superposition

The inverse-square electric force, and adding forces from several charges as vectors.

AP 2C: E&MC-level
Electric field & potential

Electric Field & Electric Potential

Field as force per charge, potential as energy per charge, and equipotentials.

AP 2C: E&MC-level
Electric field

Gauss's Law

Flux through closed surfaces, and fields of spheres, shells and conductors using symmetry.

C: E&M
Capacitance

Capacitors & Dielectrics

C = κε₀A/d, stored energy, and what changes when a capacitor is connected or isolated.

AP 2C: E&MC-level
Circuits

DC Circuits, Ohm's Law & Kirchhoff's Rules

Series and parallel resistors, equivalent resistance, and finding every current and voltage.

AP 2C: E&MC-level
Circuits

RC Circuits

Charging and discharging capacitors, exponential curves and the time constant τ = RC.

AP 2C: E&MC-level
Magnetism

Magnetic Force on Charges & Currents

F = qv × B, circular motion of charged particles, velocity selectors, and the force on wires.

AP 2C: E&MC-level
Magnetism

Magnetic Fields of Currents & Ampère's Law

Fields around wires and inside solenoids, forces between wires, and Ampère's law.

AP 2C: E&MC-level
Induction

Electromagnetic Induction: Faraday's & Lenz's Laws

Changing flux induces emf, Lenz's law gives the direction, plus motional emf and LR circuits.

AP 2C: E&MC-level
Geometric optics

Geometric Optics: Refraction, Lenses & Mirrors

Snell's law, ray diagrams and the thin-lens and mirror equations.

AP 2
Waves

Waves, Sound & Standing Waves

v = fλ, transverse vs longitudinal waves, and harmonics on strings and in pipes.

AP 2
Physical optics

Interference & Diffraction

Path difference, double slits, diffraction gratings and the wave nature of light.

AP 2
Modern physics

The Photoelectric Effect & Photons

Light as photons: E = hf, work function, threshold frequency and stopping voltage.

AP 2
Modern physics

Atomic Energy Levels & Spectra

Quantized energy levels, photon emission and absorption, and hydrogen's spectral series.

AP 2