Radioactive decay, quantum phenomena, fluid dynamics, relativity, and nuclear reactions. Real-time stochastic and continuum simulations with adjustable physical constants.
Start with a population of unstable nuclei and watch them decay stochastically over time. Adjust half-life from milliseconds to millennia, observe exponential decay N = N₀e^(−λt), and track activity in becquerels. Real-time decay curve with statistical noise.
Shine light of varying frequency and intensity on metal surfaces to eject electrons. Adjust photon energy hν and work function φ to see threshold behavior. Track electron kinetic energy KE = hν − φ and stopping voltage in real-time emission graphs.
Model incompressible flow through pipes of varying diameter. Adjust pressure, velocity, and height to verify P + ½ρv² + ρgh = constant. Watch streamlines compress at constrictions, calculate Reynolds number, and observe laminar-to-turbulent transition.
Drop objects of varying density into fluids and observe floating, sinking, and neutral buoyancy. Adjust object and fluid densities to see submerged fraction change. Real-time upthrust force equals weight of displaced fluid with pressure-depth visualization.
Accelerate a spacecraft to near-light speeds and observe time dilation Δt = γΔt₀ and length contraction L = L₀/γ. Adjust velocity as fraction of c, watch Lorentz factor γ explode above 0.9c, and model the twin paradox with real-time aging clocks.
Model fission, fusion, and radioactive decay chains with mass-energy equivalence E = mc². Adjust reactant masses to calculate Q-value and binding energy per nucleon. Watch decay chains evolve and verify conservation of nucleon number and charge.
Solve the Schrödinger equation for an infinite potential well. Adjust box width and quantum number n to see wavefunctions ψₙ(x) = √(2/L) sin(nπx/L) and probability densities |ψ|². Energy levels scale as Eₙ = n²h²/8mL² with real-time visualization.
Model liquid surfaces and capillary rise in tubes of varying radius. Adjust surface tension γ, contact angle θ, and liquid density to see meniscus shape and height h = 2γcosθ/ρgr. Watch droplet formation and bubble pressure with Laplace's law.
Fire particles at potential barriers and watch quantum tunneling where classical physics forbids passage. Adjust barrier height and width to change transmission probability T ≈ e^(−2κL). Visualize decaying wavefunction inside the barrier and transmitted amplitude.
Drop spheres of varying size and density through fluids and air. Adjust viscosity to switch between Stokes laminar drag and turbulent Newton drag. Watch velocity asymptote to terminal v_t = √(2mg/ρACd) with real-time force balance and Reynolds number.