Slovak Physics Olympiad Cat A study plan

Derive and apply the full kinematic equation set for constant and non-constant acceleration, including projectile motion with air-resistance-free assumptions

Solve 15 multi-body Newton's-law problems involving inclines, pulleys, and friction, drawing complete free-body diagrams for each

State and apply conservation of momentum and energy to collision and explosion problems, classifying elastic, inelastic, and perfectly inelastic cases

Set up and solve rigid-body statics problems using torque balance and center-of-mass location for composite bodies

Apply Newtonian gravitation to orbital and escape-velocity problems, deriving Kepler's third law from first principles

Analyze rigid-body rotation using moment of inertia, angular momentum, and rolling-without-slipping conditions

Apply Bernoulli's equation and hydrostatics to fluid-flow and pressure problems

Design one simple mechanics experiment (e.g., pendulum or inclined plane) and specify measurement instruments, resolution, and uncertainty sources

Derive the ideal-gas law from kinetic theory and connect mean kinetic energy to temperature

Solve thermodynamic process problems (isothermal, adiabatic, isobaric, isochoric) on p-V diagrams, computing work, heat, and internal-energy change

Apply the first law of thermodynamics to cyclic processes and compute efficiency of heat engines

Analyze phase-change problems involving latent heat and specific heat, including mixtures reaching thermal equilibrium

Solve DC circuit problems using Kirchhoff's laws, including multi-loop networks with internal resistance

Compute equivalent capacitance and analyze charging/discharging behavior of RC circuits

Apply Coulomb's law and superposition to electrostatic field and potential problems for discrete and continuous charge distributions

Apply Gauss's law to symmetric charge distributions and verify results against direct integration

Analyze magnetic forces on moving charges and current-carrying conductors, and apply Ampere's law to simple geometries

Solve electromagnetic-induction problems using Faraday's and Lenz's laws, including motional EMF

Derive the equation of motion for a simple harmonic oscillator and compute period, amplitude, and phase from initial conditions

Solve AC circuit problems with phasor diagrams for RLC series circuits, computing impedance and resonance

Apply the wave equation to standing waves on strings and in pipes, determining harmonic frequencies and boundary conditions

Solve acoustics problems involving sound intensity, decibels, and the Doppler effect

Trace rays through thin lenses and spherical mirrors using the lens/mirror equation and construct accurate ray diagrams in text description

Solve thin-film interference and single/double-slit diffraction problems, computing fringe positions and intensities

Apply Lorentz transformations to time dilation, length contraction, and relativistic velocity addition problems

Solve photoelectric-effect and de Broglie-wavelength problems, computing threshold frequencies and stopping potentials

Analyze atomic spectra using the Bohr model and compute nuclear binding energies from mass defects

Perform error propagation through a multi-step calculation and distinguish systematic from random uncertainty in a sample data set

Complete two full-length mock olympiad papers under timed conditions, allocating time per problem as in competition

Identify the three weakest problem types from mock results and re-solve each from scratch without notes

Consolidate a one-page formula and constants reference sheet covering all seven domains

Write a personal error-analysis summary classifying recurring mistakes as conceptual, algebraic, or time-management