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Mechanics

11 concepts

Uniform Circular Motion

Track a particle moving at constant speed around a circle and connect radius, angular speed, tangential speed, centripetal acceleration, and the inward-force requirement to the same live state.

PhysicsMechanics
Open UCM

Vectors and Components

Rotate and scale a live vector, decompose it into horizontal and vertical parts, and watch those components drive the same straight-line motion and geometry.

PhysicsMechanics
Open Vectors

Torque

Push on one pivoted bar and see how lever arm distance, force direction, and turning effect stay tied to the same compact rotational bench.

PhysicsMechanics
Open Torque

Static Equilibrium / Centre of Mass

Shift one support region under one loaded plank and see how centre of mass, support reactions, and torque balance decide whether the object stays stable or tips.

PhysicsMechanics
Open Static equilibrium

Rotational Inertia / Moment of Inertia

Keep the same total mass and torque, then slide equal masses inward or outward to see why moment of inertia makes some rotors much harder to spin up than others.

PhysicsMechanics
Open Rotational inertia

Rolling Motion

Roll a sphere, cylinder, hoop, or custom mass distribution down one incline and see how rolling without slipping ties translation, rotation, and rotational inertia to the same honest run.

PhysicsMechanics
Open Rolling motion

Angular Momentum

Treat angular momentum as rotational momentum on one compact rotor where mass radius and spin rate stay tied to the same readouts, response maps, and same-L conservation story.

PhysicsMechanics
Open Angular momentum

Momentum and Impulse

Push one cart with a timed force pulse and watch momentum, impulse, and force-time area stay tied to the same motion, readouts, and graphs.

PhysicsMechanics
Open Momentum / Impulse

Conservation of Momentum

Use two carts to see the conservation rule in action: with no outside push, the system's total momentum stays fixed even while each cart's momentum and speed change.

PhysicsMechanics
Open Momentum conservation

Collisions

Collide two carts on one honest track, keep total momentum in view, and see how elasticity, mass, and incoming speed shape the rebound or stick-together outcome.

PhysicsMechanics
Open Collisions

Projectile Motion

Launch a projectile, watch the trajectory form, and connect the range, height, and component motion to the launch settings.

PhysicsMechanics
Open Projectile

Gravity and Orbits

5 concepts

Gravitational Fields

See how one source mass creates an inward gravitational field, how source mass and distance set the field strength, and how a probe mass turns that field into force without changing the field itself.

PhysicsGravity and Orbits
Open Gravity fields

Gravitational Potential and Potential Energy

See one source mass create a negative potential well, compare how potential and potential energy change with distance, and connect the downhill slope of phi to the gravitational field on the same live model.

PhysicsGravity and Orbits
Open Gravity potential

Circular Orbits and Orbital Speed

See why a circular orbit needs the right sideways speed, how gravity supplies the centripetal acceleration, and how source mass and radius together set orbital speed and period on one bounded live model.

PhysicsGravity and Orbits
Open Orbital speed

Kepler's Third Law and Orbital Periods

Compare circular orbits around one source mass and see why larger orbits take longer: the path is longer, the circular speed is lower, and the same live model makes the period law visible without hiding the gravity-speed link.

PhysicsGravity and Orbits
Open Orbital periods

Escape Velocity

Launch outward from one bounded gravity source and see how source mass, launch radius, and total specific energy decide whether the object escapes or eventually returns.

PhysicsGravity and Orbits
Open Escape speed

Oscillations

3 concepts

Simple Harmonic Motion

See one repeating system from displacement to acceleration and back again, with the math tied directly to the motion on screen.

PhysicsOscillations
Open SHM

Oscillation Energy

Watch kinetic and potential energy trade places in simple harmonic motion while the total stays fixed by amplitude and spring stiffness.

PhysicsOscillations
Open Energy in SHM

Damping / Resonance

Explore how damping removes energy, how driving frequency changes amplitude, and why resonance becomes dramatic near the natural frequency.

PhysicsOscillations
Open Damping

Waves

4 concepts

Wave Speed and Wavelength

Follow one traveling wave across the same medium and connect crest spacing, travel delay, source timing, and the relation v = f lambda on one honest live stage.

PhysicsWaves
Open Wave speed

Doppler Effect

Watch a moving sound source compress wavefronts ahead and stretch them behind, then see how source motion and observer motion combine to change the heard pitch on one bounded classical bench.

PhysicsWaves
Open Doppler effect

Wave Interference

Superpose two coherent sources, trace their path difference to phase difference, and watch bright and dark regions emerge on the same live screen.

PhysicsWaves
Open Interference

Standing Waves

Track fixed nodes, moving antinodes, and harmonic mode shapes on one live string while the same probe trace shows the underlying oscillation in time.

PhysicsWaves
Open Standing waves

Sound

4 concepts

Sound Waves and Longitudinal Motion

See sound as a longitudinal wave by keeping parcel motion, compression and rarefaction, probe timing, and energy transfer tied to one compact medium-first bench.

PhysicsSound
Open Sound waves

Pitch, Frequency, and Loudness / Intensity

Keep one compact sound bench while separating pitch from frequency, loudness from amplitude and an amplitude-squared intensity cue, and probe delay from the source sound itself.

PhysicsSound
Open Pitch and loudness

Beats

Superpose two nearby sound frequencies, watch the fast carrier sit inside a slower envelope, and connect beat rate to the frequency difference on one compact bench.

PhysicsSound
Open Beats

Resonance in Air Columns / Open and Closed Pipes

Compare open and closed pipe boundary conditions on one compact air column so standing-wave shapes, missing even harmonics, probe motion, and pressure cues stay tied to the same resonance state.

PhysicsSound
Open Air-column resonance

Fluids

5 concepts

Pressure and Hydrostatic Pressure

Use one piston-and-tank bench to connect force per area, pressure acting in all directions, and the way density, gravity, and depth build hydrostatic pressure.

PhysicsFluids
Open Pressure in fluids

Continuity Equation

Keep one steady stream tube on screen and use Q = Av to connect cross-sectional area, flow speed, and the same volume flow rate through narrow and wide sections.

PhysicsFluids
Open Continuity

Bernoulli's Principle

Follow one steady ideal-flow pipe and see how pressure, speed, and height trade within the same Bernoulli budget while continuity keeps the flow-rate story honest.

PhysicsFluids
Open Bernoulli

Buoyancy and Archimedes' Principle

Use one immersed-block bench to connect pressure difference, displaced fluid, and the density balance behind floating, sinking, and neutral buoyancy.

PhysicsFluids
Open Buoyancy

Drag and Terminal Velocity

Drop one body through a fluid and use mass, area, and drag strength to see drag grow with speed until force balance settles into terminal velocity.

PhysicsFluids
Open Terminal speed

Thermodynamics

4 concepts

Temperature and Internal Energy

Compare average particle motion with whole-sample energy, vary amount and heating, and see why a phase-change shelf breaks naive temperature-only reasoning on one compact thermal bench.

PhysicsThermodynamics
Open Temperature vs U

Ideal Gas Law and Kinetic Theory

Connect pressure, volume, temperature, and particle number on one bounded particle box, then read the same pressure changes back as changes in particle speed and wall-collision rate.

PhysicsThermodynamics
Open Ideal gas law

Heat Transfer

See heat as energy transfer driven by temperature difference while conduction, convection, and radiation compete on one compact bench with honest pathway rates.

PhysicsThermodynamics
Open Heat transfer

Specific Heat and Phase Change

See why the same energy pulse changes different materials by different temperature amounts, and why a phase-change shelf can absorb or release energy without changing temperature on one compact thermal bench.

PhysicsThermodynamics
Open Specific heat and phase change

Electricity

3 concepts

Electric Fields

See how source-charge sign, distance, and superposition set the electric field at one probe, then watch a test charge turn that field into a force without changing the field itself.

PhysicsElectricity
Open E-fields

Electric Potential

Map how source-charge sign and distance shape electric potential, read voltage as a difference across one shared horizontal scan line, and connect the downhill slope of V to the electric field.

PhysicsElectricity
Open Potential

Capacitance and Stored Electric Energy

Keep one parallel-plate capacitor on screen so geometry, stored charge, field strength, and stored electric energy stay tied to the same bounded battery-and-plates model.

PhysicsElectricity
Open Capacitance

Circuits

7 concepts

Basic Circuits

Keep one battery and two resistors in view while current, voltage, resistance, Ohm's law, and the contrast between series and parallel all stay tied to one honest circuit.

PhysicsCircuits
Open Circuits

Power and Energy in Circuits

Keep one source and one resistive load in view while current, power, and accumulated energy over time stay tied to the same honest circuit.

PhysicsCircuits
Open Circuit power

Series and Parallel Circuits

Switch the same two loads between one loop and two branches, then track how current, voltage, brightness, and charge flow reorganize without changing the battery.

PhysicsCircuits
Open Series / Parallel

Kirchhoff Loop and Junction Rules

Use one small circuit to see the two Kirchhoff habits: currents balance at a split, and voltage rises and drops balance around every closed path.

PhysicsCircuits
Open Kirchhoff rules

Equivalent Resistance

Reduce one highlighted resistor group into an equivalent block, then collapse the whole mixed circuit honestly and watch how the total current and grouped behavior change together.

PhysicsCircuits
Open R_eq

RC Charging and Discharging

Keep one resistor-capacitor loop on screen so capacitor voltage, current, stored energy, and the time constant all stay tied to the same charging or discharging setup.

PhysicsCircuits
Open RC response

Internal Resistance and Terminal Voltage

Keep one non-ideal source and one load on screen so emf, internal drop, terminal voltage, current, and wasted power stay tied to the same one-loop circuit.

PhysicsCircuits
Open Internal resistance

Magnetism

2 concepts

Magnetic Fields

See how current direction, wire spacing, distance, and superposition set the magnetic field around one or two long straight wires, with the stage arrows and scan graphs tied to the same live source pattern.

PhysicsMagnetism
Open B-fields

Magnetic Force on Moving Charges and Currents

See why a magnetic field bends a moving charge sideways, why faster charges can make wider arcs, and how the same cross-product direction rule pushes a current-carrying wire.

PhysicsMagnetism
Open Magnetic force

Electromagnetism

3 concepts

Faraday's Law and Lenz's Law

Track one magnet passing one coil and see how changing magnetic flux linkage creates induced emf while Lenz's law fixes the response direction, with the stage, galvanometer, and graphs all driven by the same bounded motion.

PhysicsElectromagnetism
Open Faraday / Lenz

Maxwell's Equations Synthesis

See what each Maxwell equation says physically, how sources and circulation differ, and why changing electric and magnetic fields together unify electricity, magnetism, and light.

PhysicsElectromagnetism
Open Maxwell synthesis

Electromagnetic Waves

See how changing electric and magnetic fields travel together as one rightward wave, with the local field pair, source-to-probe delay, and propagation cue all tied to the same compact live stage.

PhysicsElectromagnetism
Open EM waves

Optics

7 concepts

Light as an Electromagnetic Wave

Connect electromagnetic waves to visible light, color, frequency, and the broader spectrum while one compact stage keeps the spectrum rail, field-pair sketch, and medium-linked wavelength changes tied together.

PhysicsOptics
Open Light and spectrum

Polarization

Use one compact polarizer bench to see polarization as the orientation story of transverse waves, how angle mismatch sets transmitted light, and why one ideal polarizer makes unpolarized light emerge with one chosen axis.

PhysicsOptics
Open Polarization

Diffraction

Watch a wave spread after one narrow opening, see why diffraction grows when wavelength competes with slit width, and build the wave-optics bridge toward double-slit interference.

PhysicsOptics
Open Diffraction

Double-Slit Interference

Use two coherent slits and one screen to connect path difference, phase difference, and fringe spacing to wavelength, slit separation, and screen distance on one compact optics bench.

PhysicsOptics
Open Double slit

Refraction / Snell's Law

Watch one light ray cross a boundary, connect refractive index to speed change, and see Snell's law set the refracted angle, bending direction, and critical-angle limit on the same live diagram.

PhysicsOptics
Open Refraction

Dispersion / Refractive Index and Color

Use one compact thin-prism bench to see how refractive index can depend on wavelength, why different colors bend by different amounts, and how a bounded prism model separates colors without widening into a full spectroscopy subsystem.

PhysicsOptics
Open Dispersion and color

Total Internal Reflection

Push a ray from a higher-index medium toward a lower-index boundary, watch the critical angle emerge, and see the same live diagram hand off from ordinary refraction to full internal reflection.

PhysicsOptics
Open TIR

Mirrors and Lenses

3 concepts

Mirrors

Use plane, concave, and convex mirrors to track equal-angle reflection, signed image distance, and magnification on the same live ray diagram.

PhysicsMirrors and Lenses
Open Mirrors

Lens Imaging

Trace principal rays through converging and diverging lenses, connect the signed thin-lens equation to the diagram, and watch image distance and magnification respond to the same object setup.

PhysicsMirrors and Lenses
Open Lens imaging

Optical Resolution / Imaging Limits

Image two nearby point sources through one finite aperture and see why diffraction, wavelength, and aperture diameter limit how sharply an optical system can separate them.

PhysicsMirrors and Lenses
Open Optical resolution

Modern Physics

5 concepts

Photoelectric Effect

Use one compact lamp-to-metal bench to see why light frequency sets electron emission, why intensity alone fails below threshold, and how stopping potential reads the electron energy honestly.

PhysicsModern Physics
Open Photoelectric effect

Atomic Spectra

Link discrete emission and absorption lines to allowed energy-level gaps with one compact ladder-and-spectrum bench that keeps transitions, wavelengths, and mode changes tied together.

PhysicsModern Physics
Open Atomic spectra

de Broglie Matter Waves

Use one compact matter-wave bench to see how particle momentum sets wavelength, why heavier or faster particles get shorter wavelengths, and how whole-number loop fits form a bounded bridge toward early quantum behavior.

PhysicsModern Physics
Open Matter waves

Bohr Model

Use a compact hydrogen bench to connect quantized energy levels, allowed transitions, and named spectral-line series while staying clear that Bohr is a useful historical model rather than the final quantum description.

PhysicsModern Physics
Open Bohr model

Radioactivity and Half-Life

Use one compact decay bench to see why each nucleus decays unpredictably, why large samples still follow a regular half-life curve, and how to read remaining-count graphs honestly.

PhysicsModern Physics
Open Half-life

Topic pages and paths

Show topic pages and paths

These topic pages and paths stay available without crowding the search controls.

Newer subject branch4 topics2 starter tracks

Math

Enter the current math slice through graph transformations, rational-function asymptotes, exponential change, vectors, complex-plane geometry, trig identities, inverse-angle reasoning, polar coordinates, and parametric motion without leaving the same live-bench product language used elsewhere on the site.

Fastest honest route

Functions and Change is still the clearest bounded start, while the collection and goal-path links keep the newer subject layer one click away.

Newer subject branch3 topics3 starter tracks

Chemistry

Enter the current chemistry slice through reaction-rate ideas, a stoichiometry-and-yield recipe branch, and a broader solutions-and-pH branch without leaving the same simulation-first product architecture.

Fastest honest route

Rates and Equilibrium is still the clearest bounded start, while the collection and goal-path links keep the newer subject layer one click away.

Newer subject branch1 topic1 starter track

Computer Science

Enter the current computer-science slice through one bounded algorithms-and-search branch where visible list work now widens into one shared graph-traversal bench without leaving the product's simulation-first architecture.

Fastest honest route

Algorithms and Search Foundations is still the clearest bounded start, while the collection and goal-path links keep the newer subject layer one click away.