Explore 5 real-time numerical physics engines powered by 4th-order Runge-Kutta integration, live force/velocity vectors, and mechanical energy conservation gauges.
Launch projectiles with RK4 precision, compare vacuum parabolas against quadratic air drag, and test 45° maximum range.
Compare ballistic flight time, apex height, and horizontal range across Lunar (1.62 m/s²), Martian (3.72 m/s²), Earth, and Jovian gravity.
Solve asymmetric trajectories launched from initial height h₀ > 0 and discover why optimal range angle drops below 45°.
Integrate non-analytic aerodynamic drag equations via 4th-order Runge-Kutta and verify KE + PE + E_thermal = Constant.
Drag either pendulum bob on canvas to explore deterministic chaos, sensitive dependence on initial conditions, and exact energy conservation.
Test Galileo isochronism at small angles (sin θ ≈ θ) and measure period lengthening at large release amplitudes up to 170°.
Observe exponential amplitude decay under viscous friction and watch KE + PE convert smoothly into thermal energy Eth.
Release an inverted double pendulum near 155° to witness rapid angular momentum transfer and chaotic 360° flips.
Drag the glowing object across 2F and F on an interactive optical bench to trace Principal Rays, Real Inverted images, and magnification.
Place an object inside the focal point (dₒ < f) of a convex lens and trace dashed backward ray extensions forming a magnified virtual image.
Verify why a concave lens (f < 0) always forms an upright, diminished virtual image inside the near focal length regardless of object distance.
Explore reflection ray tracing on a converging spherical mirror used in astronomical telescopes, solar concentrators, and cosmetic mirrors.
See why automotive side mirrors warn "Objects in mirror are closer than they appear" by tracing diminished virtual images behind a convex surface.
Sweep laser incidence angle from glass/water into air past the critical angle θc = arcsin(n₂/n₁) to trigger 100% Total Internal Reflection.
Visualize how wavelength-dependent refractive index n(λ) bends violet light more strongly than red light to split white beams into a spectrum.
Stretch or compress the helical spring directly on canvas to observe F = −kx restoring force vectors and sinusoidal SHM exchange of KE and ½kx².
Click "Match Resonance (fd = f0)" to drive a damped spring-mass system at its natural frequency and watch steady-state amplitude surge!
Tune viscous dashpot damping c against critical damping 2√(mk) to design smooth, bounce-free suspension settling.
Collide unequal or equal masses with e = 1.0 on a frictionless air track and verify simultaneous conservation of momentum p and kinetic energy KE.
Couple two colliding bodies together (e = 0) and prove that total momentum and Center-of-Mass velocity remain strictly constant even as KE drops!
Adjust off-center impact parameter b in 2D space and observe equal-mass elastic spheres scatter at an exact 90° angle!