63 prompts available
Solve for the output voltage in a two-resistor voltage divider, or find a missing resistor value, with ratio reasoning shown and checked against Ohm's law.
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.
Practice Kirchhoff's current and voltage laws on a multi-loop circuit, checking submitted equations or generating a fresh circuit with an answer key.
Generate a solved answer for change in length, expansion coefficient, original length, or temperature change using the thermal expansion formula, with every step shown.
Solve for centripetal force, mass, velocity, or radius using F = mv²/r, with substitutions checked, or explain circular motion with a worked example.
Combine capacitors in series using reciprocal sum or in parallel using simple addition, with steps shown, or explain why capacitors behave opposite resistors.
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 work or power with step-by-step substitutions, unit conversions, and a verification check, or walk through both formulas using a worked example.
Solve for gravitational force, mass, or distance using Newton's law of gravitation, with every substitution verified, or explain the law through a worked example.
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.
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 spring force, displacement, or the spring constant using Hooke's law, with the sign convention and substitution steps shown, or through a worked example.
Solve for buoyant force, displaced volume, or the fraction of a floating object above the surface using Archimedes' principle, with substitutions and units shown.
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