Prompt Library

Solve for pressure, velocity, or height at a point in a moving fluid using Bernoulli's equation, applying the continuity equation first when pipe diameter changes.

Solve for the enthalpy change of a reaction from calorimetry data, calculating heat first and then dividing by moles, using an engineering heat-transfer framing.

Solve for the mechanical advantage of a lever, pulley, inclined plane, wheel and axle, or screw using the matching formula, with force-distance trade-offs made explicit.

Solve for the coefficient of friction, the frictional force, or the normal force using mu equals F over N, distinguishing static from kinetic friction throughout.

Solve for centripetal force, mass, velocity, or radius using F = mv²/r, with substitutions checked, or explain circular motion with a worked example.

Practice Kirchhoff's current and voltage laws on a multi-loop circuit, checking submitted equations or generating a fresh circuit with an answer key.

Solve for the electrostatic force, a charge, or the distance between two charges using Coulomb's law, with every substitution and unit shown and verified.

Solve for voltage, current, or resistance using Ohm's law, or calculate each resistor's voltage drop in a series circuit, with the answer verified.

Solve for net work, final kinetic energy, or final velocity using the work-energy theorem, with every substitution and unit shown and verified against the equation.

Solve for momentum, mass, or velocity using p equals m times v, with every substitution verified, or explain the formula through a worked example.

Solve for electrical power using the form that matches the two known values, voltage, current, or resistance, verified against a second form of the equation.

Practice adding and subtracting displacement or force vectors using the graphical tip-to-tail method and the component method, with a full worked answer key.

Generate a solved answer for net torque, moment of inertia, or angular acceleration using the rotational form of Newton's second law, with every step verified.

Solve for a photoelectron's maximum kinetic energy, work function, or light frequency using the photoelectric effect equation, with every step verified against the original formula.

Explain which law of thermodynamics governs a scenario, solve the relevant energy or entropy relationship, and generate practice scenarios with worked answer keys.

Solve for wave speed on a stretched string from tension and linear mass density, or find the missing quantity, with every substitution and unit verified.

Solve for observed frequency using the Doppler effect formula with the correct sign for a moving source or observer, or explain the pitch-shift effect.

Practice solving Newton's law of viscosity, shear stress equals dynamic viscosity times the velocity gradient, with a full worked answer key for fluid-layer scenarios.

Solve for electric field strength, source charge, or distance around a point charge, then find the force on a test charge placed in that field.

Solve for the missing variable in constant-acceleration motion using the correct SUVAT equation, with every substitution shown and the answer verified against a second equation.

Solve for buoyant force, displaced volume, or the fraction of a floating object above the surface using Archimedes' principle, with substitutions and units shown.

Solve for final velocities in an elastic collision or the shared velocity in a perfectly inelastic collision, verifying results against kinetic energy conservation.

Solve for an unknown force or distance in a rigid body at rotational equilibrium, balancing torques and forces with every step shown and verified.

Solve for average velocity or average acceleration with every substitution and unit shown, verifying the final answer against the original equation.