Exact physics formulas for agents: kinematics, projectiles, inclines, collisions, orbits, oscillators, waves, optics, relativity and blackbody radiation.
payments ON MAINNET (real money) · 12 live endpoints
| Endpoint | Price | What it answers |
|---|---|---|
GET /blackbody | $0.02 | Blackbody radiation: Wien peak wavelength and frequency, Stefan-Boltzmann power per area, and total power for an area or sphere. |
GET /collision-1d | $0.02 | Head-on collision of two masses: velocities after impact, momentum and kinetic energy lost, elastic to perfectly inelastic. |
GET /incline | $0.02 | Block on an incline: weight components, normal force, static friction limit, whether it slips, acceleration and slide time. |
GET /kinematics | $0.02 | Constant-acceleration motion: give any three of displacement, start speed, end speed, acceleration, time; get the other two. |
GET /lens-mirror | $0.02 | Thin lens or mirror equation: give two of focal length, object and image distance, get the third plus magnification. |
GET /orbit | $0.02 | Circular orbit speed, escape speed and period at an altitude or radius around the Sun, a planet, the Moon or a custom mass. |
GET /oscillator | $0.02 | Period and frequency of a simple pendulum (exact for large swings) or a mass on a spring. |
GET /projectile | $0.02 | Projectile motion without drag: range, max height, flight time, impact speed and angle from launch speed, angle and height. |
GET /relativity | $0.02 | Special relativity: Lorentz factor, time dilation, length contraction, total and kinetic energy and momentum at a given speed. |
GET /snell | $0.02 | Snell's law: refracted angle between two media (names or indices), critical angle and total internal reflection check. |
GET /wave-doppler | $0.02 | Wave speed, frequency and wavelength, plus the Doppler-shifted frequency for sound (moving source or observer) or light. |
GET /work-energy | $0.02 | Work (force x distance x cos angle), kinetic and potential energy, and power, with joule, kWh, calorie and horsepower units. |
GET /catalog returns this list as JSON. Activity hub · uptime.
Textbook-model calculators computed locally with CODATA 2018 constants, provided as is. Models ignore air drag, friction unless stated, measurement error and real-world complications; results are for study, estimation and screening, not for engineering, safety or navigation decisions. Every paid response carries a disclaimer field.