Physics Master Studio

From Newtonian kinematics and optical wavefronts to relativistic spacetime and semiconductor Fermi levels. Solved in 60 FPS Runge-Kutta 4 on your local hardware.

Mechanics F = m·a

Newtonian Mechanics

Interactive incline plane, friction coefficients, free-body force vectors, and multi-body gravitational mechanics.

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Mechanics p₁ + p₂ = const

Collision & Momentum Lab

Simulate 1D and 2D elastic and inelastic collisions with real-time kinetic energy dissipation calculations.

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Kinematics v₀ sin(θ)

Projectile Motion

Parabolic trajectory calculation with aerodynamic drag, launch angle sweep, range optimization, and apex telemetry.

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Oscillations T = 2π√(L/g)

Simple Pendulum

Explore large-angle non-linear oscillations, phase space orbits, and local planetary gravitational variation.

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Harmonic F = -k·x

Springs & Harmonic Masses

Hooke's law spring dynamics, underdamped and critically damped oscillator models, and resonance response curves.

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Solid State Y = σ / ε

Elasticity & Young's Modulus

Stress-strain curves, tensile yield thresholds, shear strain, and Poisson ratio deformation across engineering materials.

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Fluid Statics F_b = ρ·V·g

Buoyancy & Fluid Statics

Archimedes' upthrust principle, hydrostatic pressure gradients, and equilibrium flotation for submerged geometries.

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Circuits V = I·R

Circuit Builder & Analysis

Interactive DC breadboard simulator with Kirchhoff's voltage and current loop solvers, multimeters, and LED loads.

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Electrostatics E = k·q/r²

Electricity & Charge Fields

Coulomb force interaction, electric field vector line generation, equipotential contour maps, and capacitor charging.

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Magnetism F = q(v × B)

Magnetism & Lorentz Force

Charged particle helical trajectory in uniform B-fields, Biot-Savart current loop fields, and Faraday induction.

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Solid State Band Gap E_g

Semiconductors & Diodes

PN junction depletion layer dynamics, bandgap electron excitation, forward/reverse I-V curves, and photodiode response.

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Waves v = f·λ

Wave Interference & Acoustics

Continuous superposition, Young's double-slit wave diffraction, 2D Chladni plate resonance, and acoustic beats.

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Optics n₁ sin θ₁ = n₂ sin θ₂

Optics Bench & Ray Tracing

Precision optical ray tracing for convex/concave lenses, spherical mirrors, prisms, chromatic dispersion, and total internal reflection.

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Thermal ΔU = Q - W

Thermodynamics & Heat Transfer

Fourier 1D/2D heat conduction, convection rates, thermal equilibrium kinetics, and Carnot thermodynamic cycle efficiency.

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Gases P·V = n·R·T

Ideal Gas Laws

Maxwell-Boltzmann molecular velocity distributions, Boyle/Charles isothermal and adiabatic expansions in a piston cylinder.

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Energy P = dW/dt

Power & Kinetic Energy

Mechanical work rate calculations, potential-to-kinetic transformations, and electrical power dissipation metrics.

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Relativity γ = 1/√(1-v²/c²)

Special Relativity

Lorentz factor calculations, time dilation twins paradox, relativistic length contraction, and mass-energy equivalence.

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Nuclear E = Δm·c²

Nuclear Physics & Binding

Nuclear mass defect calculations, binding energy per nucleon curve, and chain reaction fission/fusion simulations.

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Decay N(t) = N₀ e^(-λt)

Radioactivity & Half-Life

Alpha, beta, and gamma decay chains, Poisson statistical decay fluctuations, and carbon dating age estimation.

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