What are Physics Battles and how do you prepare for them?
Preface
This guide is a short introduction to Physics Battles tournaments. It should give participants a clearer idea of how to prepare for the different parts of a tournament. Most of the advice is written for one kind of tournament, but much of it also works for other long events, from olympiads to national training camps.
About Physics Battles tournaments
A Physics Battles tournament is a competition for school and university students in which participants solve physics problems and defend their solutions in front of a critical audience. Such tournaments have been held since the 1980s. Unlike in a subject olympiad, participants deal with each other directly while solutions are being defended.
Among the best known are the International Young Physicists' Tournament and the Russian Young Physicists' Tournament.
There are two types of tournaments:
- Young Physicists' Tournament (YPT). Teams get several months to work on a set of hard research problems in theoretical and experimental physics.
- Flash battles. Participants see the problems only at the tournament itself and have less time to solve them. The battle procedure is different too: the problems are closed, the jury is smaller, and there are no practical rounds.
Each type calls for its own kind of preparation. Besides solving problems, you need to be able to speak in front of an audience and to come up with strategy and tactics quickly when time is short.
The rest of this guide is about flash battles. When it was written, Almaty Physics Battles (APhB) was, as far as we know, the only Physics Battles tournament in Central Asia. It has two stages: a qualifier and a final.
Before the tournament
Rules and format
Preparation for any competition should start with the rules and the problem format. You also need to study physics, of course, but that is best started early, long before the three months leading up to the tournament. Below is a short overview of the Physics Battles rules. The full rules are in the tournament regulations: APhB regulations from 2024 onwards are published on the Beyond Curriculum website.
The tournament consists of several rounds. Each round has a problem-solving session, a captains' battle and a physics battle.
- Problem-solving session. The first part of a round: each team works on the problems on its own.
- Captains' battle. The team captains race to solve a single problem. The winner chooses their team's role in the first stage of the physics battle.
- Physics battle. It consists of several stages. In each stage one team presents its solution to a problem, and the solution is checked straight away: first by the opponents (this is called opposition), then by the jury. Each team can earn points for its role in the stage. At the end of the round the jury sums up and, based on these points, awards both teams match points on a win–draw–loss basis.
Physics Battles tournaments are usually run on the Swiss system. It keeps the number of rounds small without eliminating any teams. From the second round on, teams with the same number of match points play each other, so clearly strong and clearly weak teams meet less often.
Theory
General preparation for physics olympiads already covers most of what you need for Physics Battles. Still, it is worth working through problems from past tournaments to get used to the format, the different time limits and solving as a team. At APhB the problems are usually at the level of the district and regional stages of the national olympiad, though this can vary. For more detail, see the level 2 and level 3 physics olympiad preparation plans.
Teamwork
To win, not every team member needs to know every topic at national olympiad level, although it helps. What matters much more is that the team as a whole covers every area well. Each member is stronger than their teammates in some areas and weaker in others, and that creates balance. For example, one knows mechanics well, another is good at thermodynamics and molecular physics, a third at electromagnetism, a fourth at optics. In the end you need to solve as many problems as possible in a short time, as at an olympiad, only as a team. Get to know each other better and learn each person's strengths and weaknesses. Above all, trust each other and don't hog the spotlight.
Broad knowledge of physics matters most for the captain. In the captains' battle the captain represents the whole team and races the opposing captain on a problem alone. The captain also coordinates the team's work and talks to the jury during the battle. So the captain needs to know every area well: that makes it easier to assign roles and to follow teammates' solutions quickly.
During the tournament
Problem-solving session
Split the problems according to each member's level and the time available. Usually whoever solved a problem also presents or opposes it at the board, but each member can go to the board only a limited number of times. Start with the easier problems: all problems are worth the same.
Physics battle
In each stage one team presents and the other opposes, then they swap roles. Support your presenter: if you need to pass them information, take a short break. Meanwhile the rest of the team can keep working on problems.
Tactics
- Replacing the presenter. Allowed, but the trip to the board counts for both members, and the regulations sometimes limit replacements. Save it for emergencies.
- Correctness check. If the challenged team has not solved the problem, it can check whether the challenge is correct. If the challenge turns out to be incorrect, the challenging team loses part of its points to the opponent. Limits and penalties are set by the regulations.
- Declining to challenge. If you have no solved problems left, you can end the round without a penalty. It is a tactical move that helps you hold your position.
Think these scenarios through in advance. Then at the tournament all your time goes to the problems.
After a battle
Your first physics battle is over. You have signed the score sheet and left the room.
What now? Rest. Drink some water, have a snack, go to the bathroom, lie down, play board games, get some fresh air. Unlike a regular olympiad, Physics Battles are more like a marathon, so you need to pace yourself. Don't re-solve problems or review theory, or you will run out of energy halfway through the tournament. If you really want to do something useful, think about strategy: what to change, how best to challenge your opponents and how to start the round if you win the captains' battle.
About this guide
Authors
This guide was written by members of the Organizing and Methodological Committee (OMC) of Almaty Physics Battles 2024: Yernur Kayrollayev (IZhO bronze, national olympiad bronze) and Doszhan Bisimbi (IPhO silver, IZhO silver, national olympiad gold).
IPhO is the International Physics Olympiad, the most prestigious physics olympiad in the world. IZhO is the International Zhautykov Olympiad.
Edited by OMC chair Arsen Kozhabek and Almaty Physics Battles 2024 OMC member Alisher Yerkebayev.
License
This preparation guide is the intellectual property of the Beyond Curriculum Public Foundation and is licensed under CC BY-NC-ND 4.0. You may share it in whole or in part on the following conditions: you must credit the copyright holder (BY, Beyond Curriculum Public Foundation) with an active link to the original source; you may not modify the guide (ND); and you may use it only for non-commercial purposes (NC).
Please note that the Republic of Kazakhstan, like many other countries, joined the Berne Convention by Law of the Republic of Kazakhstan No. 297-I of 10 November 1998, and the Convention entered into force for Kazakhstan on 12 April 1999. Under the Convention, member countries protect the copyright of citizens of other member countries to the same extent as that of their own citizens.
Recommended topics for the final
Compiled by the APhB Academic Committee
In this list the APhB jury chairs set an approximate syllabus for the rounds of the final stage. Problem setters may use any of the topics below and may also set problems on topics outside the list, provided they give the necessary theoretical background.
Junior League
The school physics and mathematics curriculum up to and including grade 9.
Mechanics
Kinematics
- Basic concepts of kinematics. Motion at constant velocity. Average speed
- Uniformly accelerated motion
- Graphical representation of motion
- Relative motion. Reference frames. Galilean transformations
- Rotational motion. Angular velocity. Centripetal and tangential acceleration
- Motion in a uniform gravitational field (projectile motion)
- Kinematic constraints
- Instantaneous axis of rotation
Dynamics, gravitation
- Inertial and non-inertial reference frames
- Newton's laws
- Pulleys and pulley systems
- Friction
- Hooke's law. Spring systems
- Harmonic oscillations
- Centrifugal force
- Motion of the center of mass. Reduced mass
- Newton's law of universal gravitation. Kepler's laws. Basics of elliptical orbits
Statics, fluid mechanics
- Torque
- Equilibrium conditions. Stability of equilibrium
- Pressure. Pascal's law. Buoyant (Archimedes') force. Flotation
- Continuity equation
- Average density
- Finding the center of mass of a system
- Density of a crystal lattice
Conservation laws
- Conservation of energy
- Conservation of momentum
- Work, power
- Efficiency
- Elastic and inelastic collisions
- Newton's second law in terms of momentum
- Kinetic and potential energy
Thermodynamics, optics, electricity
Heat transfer
- Heat balance, heat capacity
- Phase transitions
- Heat of combustion of fuel
- Newton's law of cooling
- Thermal expansion
Electric circuits
- Equivalent resistance of a network
- Ohm's law
- Kirchhoff's rules
- Balanced bridge
- Ammeter, voltmeter, EMF source, rheostat and diode in a circuit
- Current–voltage characteristic
- Joule's law (Joule–Lenz law)
- Infinite circuits
Optics
- Fermat's principle
- Optical density of a medium
- Snell's law
- Law of reflection
- Thin lenses. Thin lens equation
- Optical power
- Plane and spherical mirrors
- Ray diagrams for optical systems
Electrostatics
Basic understanding
- Coulomb's law
- Electric field strength and potential
- How a capacitor works
Mathematical tools
Geometry
- Axioms of geometry
- Properties of triangles
- Pythagorean theorem
- Trigonometric functions and identities
- Vectors. Graphical representation of vectors in problems. Position vector. Vector addition and the dot product
Algebra
- Proportions. Significant figures. Powers. Roots. Solving systems of equations
- Algebraic identities (special products)
- Quadratic equations. Power and exponential functions. Graphs of functions
- Sequences. Arithmetic and geometric progressions
- Basic ideas of small increments. Physical meaning of the tangent to a graph and of the area under a graph
- Dimensional analysis in physics problems
Senior League
The Junior League syllabus plus the school physics and mathematics curriculum up to and including grade 11.
Mechanics
Kinematics
- Relative motion
- Non-uniform motion
- Curvilinear motion. Radius of curvature. Tangential and normal acceleration
- Motion in a gravitational field. Projectile motion
- Equations of motion in coordinate and vector form. Trajectory equation. Envelope of trajectories (safety parabola)
Dynamics, gravitation
- Friction forces. Sliding friction
- Elastic forces. Hooke's law
- Drag force
- Harmonic oscillations. Basics of damped oscillations
- Newton's law of universal gravitation. Gravitational potential energy. Kepler's laws. Motion along conic sections
Rigid bodies, statics
- Center of mass. Center-of-mass frame. König's theorem
- Properties of a rigid body
- Statics. Equilibrium of a body. Elastic deformation. Young's modulus
- Angular momentum
- Moment of inertia and torque. Rotational kinetic energy
- Parallel axis (Steiner's) theorem. Moment of inertia about a point and about an axis
Fluid mechanics, waves
- Hydrostatics. Equilibrium of a fluid. Pascal's law
- Archimedes' principle
- Bernoulli's equation
- Basic ideas of mechanical waves. Frequency and wavelength
Thermodynamics, electromagnetism, optics
Thermodynamics
- Avogadro's number. Molar mass
- First law of thermodynamics. Internal energy. Heat
- Ideal gas law (Clapeyron–Mendeleev equation). Properties of an ideal gas. Isotherms, isobars, isochores and adiabats of an ideal gas
- Heat engines. Cycle diagrams
- Carnot cycle. Carnot's theorem
- Concept of entropy. Increase of entropy in isolated systems
- Concept of a quasi-static process. Difference between fast (adiabatic) and slow (quasi-static) processes
- Heat capacity. Specific and molar heat capacity. Heat capacity at constant volume and at constant pressure. Degrees of freedom of a molecule. Mayer's relation
- Thermal conduction. Fourier's law
- Properties of the solid, liquid and gas phases. Pressure and temperature in phase transitions
- Properties of water vapor. Saturated vapor and its partial pressure. Boiling
- Surface tension coefficient
- Contact angle
- Capillary effects. Laplace pressure
Electromagnetism
- Electric field strength. Gauss's law
- Electrostatic field as a conservative field. Work done by electric forces
- Electric dipole
- Properties of conductors. Ohm's law in local form. Resistivity and conductivity
- Properties of dielectrics. Permittivity
- Magnetic field (magnetic induction). Biot–Savart law. Gauss's law for magnetism. Ampère's circuital law
- Magnetic materials. Permeability. Basics of magnetic dipoles
- Lorentz force. Ampère force on a current-carrying conductor
- Electromagnetic induction. Faraday's law
- Kirchhoff's rules
- Capacitors and inductors. Capacitance and inductance. Energy stored in a capacitor and an inductor. LC, RL and RC circuits
- Work done by a source. Power of circuit elements. Energy balance: work of the source, heat released, work of external forces and change in the system's internal energy
Optics
- Laws of geometrical optics. Fermat's principle and the principle of tautochronism
- Refraction of light. Snell's law
- Plane and spherical mirrors
- Properties of thin lenses
- Centered optical systems. Systems of thin lenses
- Radiation intensity
- Light as an electromagnetic wave
Mathematical tools
- Differentiation. Solving simple differential equations. The harmonic oscillator equation
- Integrals. Integral of a power function
- Vectors. Cross and dot products. Expanding a vector in a basis
- Conic sections (second-order curves): parabola, hyperbola, ellipse
- Dimensional analysis in physics problems