Prompt Library

Generate an RC circuit's time constant, charge, voltage, or current at a chosen moment, with every calculation step shown and the result verified.

Practice converting between wavelength, frequency, and photon energy across the electromagnetic spectrum, checking a given answer or generating new problems with an answer key.

Solve for the angle of refraction, angle of incidence, or index of refraction using Snell's law, or find the critical angle for total internal reflection.

Solve for pressure, depth, or fluid density using the hydrostatic pressure formula, with every substitution verified and the container-shape independence explained.

Solve for a circuit's equivalent resistance from series and parallel resistors, or the current and voltage at each resistor, with every step checked.

Solve for electric potential at a point or potential energy between two charges, with the two related but distinct quantities told apart clearly.

Solve for magnetic force on a moving charge or current-carrying wire, and explain the right-hand rule that determines the force's direction through a worked example.

Solve for specific gravity, density, or whether a substance floats or sinks in water, using specific gravity equals density over water's density, with units shown.

Solve for density, mass, or volume using rho equals m over V, with every substitution and unit shown and verified, or explain the formula.

Generate a solved answer for torque, applied force, or moment arm using tau equals r F sine theta, with every step shown and unit tracked.

Solve for a standing wave's resonant frequency, wavelength, or harmonic number on a string or pipe, or explain why closed pipes skip even harmonics.

Solve for induced EMF, magnetic flux, or rate of flux change using Faraday's law, with substitutions verified, or explain Lenz's law with a worked example.

Solve for a missing rotational kinematics variable by picking the equation that omits the unknown, with every step shown and verified against a second equation.

Solve for magnetic field strength, current, or distance around a current-carrying wire using B equals mu-naught I over 2 pi r, with each step verified.

Solve for angular momentum, angular velocity, or moment of inertia using L equals I omega, verifying substitutions, or explain why a spinning skater speeds up.

Solve for impulse, force, time, or change in momentum using the impulse-momentum theorem, with every substitution verified against the original equation.

Practice tracking mechanical energy converting between kinetic and potential forms in falling objects, pendulums, and roller coasters, checking a scenario or generating new practice problems.

Solve for gravitational potential energy, mass, or height using PE = mgh, with every substitution shown, or the formula explained through a worked example.

Solve for kinetic energy, mass, or velocity using the kinetic energy formula, with every substitution verified against the original equation.