Showing 12 results
Cell Membrane Transport
Simulate four types of membrane transport: simple diffusion, facilitated diffusion, active transport (ATP-powered), and osmosis. Adjust inside/outside concentrations and watch particles move across an animated phospholipid bilayer. ATP pump and channel proteins are rendered for each mode.
Newton's Second Law
Launch a block across a 3D track and watch F = ma play out in real time. Adjust applied force, mass, and kinetic friction to see how each affects acceleration. A live v(t) graph builds as the block moves. Verify that F_net = ma with the on-screen HUD.
Friction on Inclined Plane
Drag the incline angle and watch force arrows update live: normal force, gravity components, and friction. Computes the critical angle where the block begins to slide. When the angle exceeds μₛ, the block slides with kinetic friction. Shows mg sin θ, N, and static vs kinetic friction with real-time labels.
Impulse & Momentum
Apply a force pulse to a block and verify J = FΔt = Δp. Adjust force magnitude, duration, mass, and initial velocity. The F-t graph builds in real time with the shaded area labeled as impulse. Compares impulse to change in momentum to confirm the theorem.
Spring Potential Energy
Release a spring-mass system and watch elastic PE and KE trade off perfectly. Adjust spring constant k, mass, initial displacement, and damping. Live energy bars and dual KE/PE time plots confirm Us + KE = constant. Includes the SHM period formula T = 2π√(m/k).
Work-Energy Theorem
Push a block across a surface and verify W_net = ΔKE. Adjust force magnitude, angle (−60° to +60°), mass, friction, and distance. Live KE-vs-displacement graph and a work breakdown bar chart show W_applied, W_friction, and W_net. Confirms the theorem at every step.
Scatter Plot & Correlation
Build scatter plots by clicking the canvas or loading preset datasets (strong positive, strong negative, moderate, none, outlier). Pearson r and r² update live. Toggle regression line, residuals, and 95% ellipse. A color-coded gauge maps r from −1 to +1. Observe how outliers distort r.
Binomial Distribution
Explore B(n, p) via PMF bars, CDF, or live simulation. Adjust n (1–60), p (0.01–0.99), and highlight any k to see P(X = k), P(X ≤ k), and other tail probabilities. Normal approximation curve overlaid for large n. Simulation mode runs up to 2000 trials and compares empirical vs theoretical.
Least-Squares Regression Line
Generate data with a controlled true slope β and noise σ. The LSRL is computed live with slope b, intercept a, r, r², and SE(b). Toggle residuals on the scatter plot, then switch to the residual plot tab to check model fit. Add an influential outlier to see how it shifts the regression line.
Hypothesis Testing
Visualize three test types: z-test for proportions, t-test for means, and χ²-test. Adjust the test statistic parameters, choose α (0.01/0.05/0.10), and select one- or two-tailed Hₐ. The rejection region (red), p-value shading, and critical values update live. Decision badge shows REJECT H₀ or FAIL TO REJECT.
Gas Laws
Interactive gas law explorer with five tabs: Boyle's Law (PV = const), Charles's Law (V∝T), Gay-Lussac's Law (P∝T), Ideal Gas Law (PV=nRT), and Dalton's Law (partial pressures pie chart). Each tab shows an animated particle container, a live graph (hyperbola/linear/PV), and computed result values.
Ionic vs Covalent Bonding
Compare ionic and covalent bond formation side by side. Four tabs: Ionic (electron transfer animation for NaCl, MgO), Covalent (shared electron clouds for H₂, O₂, N₂), Polar Covalent (dipole arrows for H₂O, HCl), and Properties Comparison table. An electronegativity difference bar chart highlights ΔEN cutoffs at 0.4 and 1.7.