Showing 12 results
Simple Harmonic Motion
Explore mass-spring oscillations and energy transformations. Adjust mass, spring constant, and damping to observe how frequency, amplitude, and energy interchange between kinetic and potential forms.
Circular Motion & Centripetal Force
Visualize uniform circular motion with adjustable radius and speed. See how centripetal acceleration and net force always point toward the center, and explore the role of tension, gravity, and normal force.
Torque & Rotational Equilibrium
Interactively balance forces on a rigid lever by placing masses at different distances from the pivot. Observe torque magnitudes and directions, and understand the condition for rotational equilibrium.
VSEPR Molecular Geometry
Explore 3D molecular geometries for common electron-domain configurations. Rotate and inspect tetrahedral, trigonal planar, linear, octahedral, and bent structures. Understand how lone pairs distort ideal bond angles.
Conservation of Energy
Watch a ball roll down a curved ramp as kinetic and potential energy interchange in real time. Adjust mass, release height, and friction to see how energy distributes across KE, PE, and thermal bars. Discover why total mechanical energy is constant without friction.
Elastic & Inelastic Collisions
Fire two balls toward each other and observe elastic, inelastic, and perfectly inelastic collisions. Adjust masses, initial velocities, and the coefficient of restitution. Before-and-after momentum and kinetic energy tables verify conservation laws in real time.
Atomic Orbital Shapes
Explore 3D probability cloud visualizations of s, p, and d atomic orbitals. Toggle between 1s, 2s, 2px/y/z, 3dz², 3dxy, and 3dx²-y² orbitals. Adjust particle count, opacity, and size to reveal electron density patterns. Quantum numbers update automatically.
Reaction Energy Diagrams
Build interactive reaction energy diagrams with adjustable activation energy, ΔH, and catalyst effect. Switch between exothermic and endothermic reactions, watch the transition state and energy levels update live, and animate a molecule traveling along the reaction pathway.
Central Limit Theorem
Watch the Central Limit Theorem emerge in real time. Choose uniform, right-skewed, bimodal, or normal populations, set sample size n, and take samples one-by-one or in bulk. The sampling distribution of x̄ converges to a bell curve regardless of population shape — see it happen live.
Confidence Interval Simulator
Simulate hundreds of confidence intervals and watch the coverage rate converge to the chosen confidence level. Adjust μ, σ, n, and confidence level (90/95/99%). Green bars capture the true mean; red bars miss it. Builds intuition for the correct long-run interpretation of CIs.
Limits & Continuity
Explore five classic function types — removable holes, jump discontinuities, vertical asymptotes, continuous functions, and oscillating functions. Drag the approach point a and adjust the delta neighborhood to see left/right limits update in real time. Automatically identifies continuity.
Fundamental Theorem of Calculus
Visualize both parts of the FTC side by side: the integrand f(x) with shaded area and Riemann approximation, and the accumulation function F(x) = integral from a to x. Adjust bounds a and b, choose from five functions, and watch exact vs Riemann error update in real time.