Cover image for Physics Olympiad - Basic to Advanced Exercises.
Physics Olympiad - Basic to Advanced Exercises.
Title:
Physics Olympiad - Basic to Advanced Exercises.
Author:
Olympiad, The Committee of Japan Physics.
ISBN:
9789814556682
Physical Description:
1 online resource (380 pages)
Contents:
Contents -- Preface to the English Edition -- Part I. Theory -- Chapter 1. General Physics -- Elementary Problems -- Problem 1.1. The SI and the cgs systems -- Problem 1.2. The pressure due to high heels and elephants -- Problem 1.3. The part of the iceberg above the sea -- Problem 1.4. The altitude angle of the Sun -- Advanced Problems -- Problem 1.5. Dimensional analysis and scale transformation -- Problem 1.6.Why don't clouds fall? -- Chapter 2. Mechanics -- Elementary Course -- 2.1 Motion with a Constant Acceleration -- 2.1.1 Projectile Motion -- 2.2 Equation of Motion -- 2.3 The Law of Conservation of Energy -- 2.3.1 Work and Kinetic Energy -- 2.3.2 Conservative Forces and Non-conservative Forces -- 2.3.3 Potential Energy -- 2.3.4 Examples of Potential Energy -- Gravitational Potential Energy -- Elastic Potential Energy -- 2.3.5 The Law of Conservation of Mechanical Energy -- 2.3.6 Energy Transfer between Interacting Bodies -- 2.3.7 Work Done by Non-conservative Forces -- 2.4 Newton's Law of Universal Gravitation and Kepler's Laws -- 2.4.1 Newton's Law of Universal Gravitation -- 2.4.2 Gravitational Potential Energy -- 2.4.3 Kepler's Law -- Elementary Problems -- Problem 2.1. A ball falling from a bicycle -- Problem 2.2. A ball thrown off a cliff -- Problem 2.3. The trajectory of a ball -- Problem 2.4. Themotion of a train -- Problem 2.5. Skydiving -- Problem 2.6. Small objects sliding on different descendent paths -- Problem 2.7. An inclined plane -- Problem 2.8. A space probe launched to converge with the orbit of Pluto -- Advanced Course -- 2.5 Conservation of Momentum -- 2.5.1 Momentum and Impulse -- 2.5.2 The Law of Conservation of Momentum -- 2.6 Moment of Force and Angular Momentum -- 2.7 The Keplerian Motion -- 2.7.1 Two-Dimensional Polar Coordinates -- 2.7.2 Universal Gravitation Acting on Planets -- 2.7.3 Moment of Central Forces.

2.7.4 Motion of Planets -- 2.8 Motion and Energy of Rigid Bodies -- 2.8.1 Motion of Rigid Bodies -- 2.8.2 Rotational Kinetic Energy of Rigid Bodies -- Advanced Problems -- Problem 2.9. The Atwood machine with friction -- Problem 2.10. The rotation of rods -- Problem 2.11. The expanding universe -- Chapter 3. Oscillations and Waves -- Elementary Course -- 3.1 Simple Harmonic Oscillation -- 3.2 Waves -- Elementary Problems -- Problem 3.1. A graph of a sinusoidal wave -- Problem 3.2. An observation of sound using microphones -- Advanced Course -- 3.3 Superposition of Waves -- 3.3.1 The Young's Double-Slit Experiment -- 3.3.2 Standing Waves -- 3.3.3 Beats -- 3.4 The Doppler Effect -- 3.4.1 The Doppler Effect of Light -- 3.4.2 Shock Waves -- Advanced Problems -- Problem 3.3. The propagation velocity of a water wave -- Problem 3.4. The dispersion of light and refractive index -- Chapter 4. Electromagnetism -- Elementary Course -- 4.1 Direct-Current Circuits -- 4.1.1 Electric Current and Resistance -- Definition of the unit of current and Ohms law -- Resistivity -- 4.1.2 Resistors in Series and in Parallel -- 4.1.3 Kirchhoff's Rules -- Kirchhoff's junction rule -- 4.2 Magnetic Field and Electromagnetic Induction -- 4.2.1 Magnetic Field -- 4.2.2 Magnetic Force on Current -- 4.2.3 Electromagnetic Induction -- Elementary Problems -- Problem 4.1. A circuit with two batteries -- Problem 4.2. A three-dimensional connection of resistors -- Problem 4.3. A hand dynamo -- Advanced Course -- 4.3 Electric Charge and Electric Field -- 4.3.1 Gauss's Law -- 4.3.2 Capacitors and Energy of Electric Field -- 4.4 Current and Magnetic Field -- 4.4.1 Magnetic Field Generated by Current in Straight Wire -- 4.4.2 Ampere's Law -- 4.4.3 The Lorentz force -- 4.4.4 Electromagnetic Induction and Self-Inductance -- The law of electromagnetic induction.

The Lorentz force and induced electromotive force -- Advanced Problems -- Problem 4.4. The law of Bio and Savart -- Problem 4.5. The propagation of electromagnetic waves -- I The law of electromagnetic induction in a small area -- II Maxwell-Ampere's law -- III Maxwell-Ampere's law in small region -- IV The propagation speed of an electromagnetic wave -- Problem 4.6. The motion of charged particles in a magnetic field -- Chapter 5. Thermodynamics -- Elementary Course -- 5.1 Heat and Temperature -- 5.1.1 Empirical temperature -- 5.1.2 One Mole and Avogadro's Number -- 5.1.3 Equation of State for Ideal Gas -- 5.1.4 Quantity of Heat and Heat Capacity -- Elementary Problems -- Problem 5.1. Properties of temperature -- Problem 5.2. Potential energy and heat -- Problem 5.3. Change of the state of an ideal gas -- Problem 5.4.Making water hotter than tea -- Advanced Course -- 5.2 Kinetic Theory of Gases -- 5.2.1 Gas Pressure -- 5.2.2 Internal Energy -- 5.3 The First Law of Thermodynamics -- 5.3.1 Quasi-Static Process -- 5.3.2 The First Law of Thermodynamics -- Advanced Problems -- Problem 5.5. Brownian motion -- I Concentration of powder particles and osmotic pressure -- II Mobility of particles -- III Diffusion coefficient and Einstein's relation -- IV Particle colliding with water molecules -- V Behavior of a particle in the diffusion -- Problem 5.6. Thermal conduction -- Chapter 6. Modern Physics -- Elementary Problems -- Problem 6.1. Tests of general relativity -- Advanced Problems -- Problem 6.2. Theory of special relativity and its application to GPS -- Problem 6.3. The Bohr model and super-shell -- Problem 6.4. Fate of the Sun -- Discovery of a strange star, white dwarf -- Particle motion in a very small scale - Heisenberg uncertainty principle -- A new type of coordinate, phase space -- Degenerate state of electrons.

Degenerate pressure of electrons -- Relativistic and non-relativistic kinetic energy -- Degenerate pressure in the three-dimensional space -- Fate of the sun -- Gravitational energy of a star -- Evolution of stars -- Chandrasekhar mass -- Black hole -- Part II. Experiment -- Chapter 7. How to Measure and Analyze Data -- 7.1 Some Hints for Experiments -- (1) Imagine the whole procedure of measurements before making the measurements -- (2) You do not need to make each measurement very precisely -- (3) Record the data -- (4) Measurements with a vernier -- 7.2 Measurement Errors and Significant Figures -- 7.3 Statistical Errors -- 7.4 Errors in Indirect Measurements and Error Propagation -- 7.5 Best-fit to a Linear Function -- 7.6 Best-fit to a Logarithmic Function -- 7.7 Summary -- Chapter 8. Practical Exercises -- Practical Exercise 1 -- Problem 8.1. Confirming Boyle's law -- Problem 8.2. Confirming Charles' law -- Problem 8.3. Measuring the atmospheric pressure -- Practical Exercise 2 Measuring Planck's constant -- Appendix. Mathematical Physics -- A.1 Inverse Trigonometric Functions -- A.2 Useful Coordinate Systems -- A.2.1 Two-Dimensional Polar Coordinate System -- A.2.2 Cylindrical Coordinate System -- A.2.3 Spherical Coordinate System -- A.3 Taylor Expansion -- Another Solution -- A.4 Taylor Polynomials as Approximation Formulae -- A.5 Complex Plane -- A.6 Euler's Formula -- A.7 Differential Equations 1 (Separation of Variables) -- A.8 Differential Equations 2 (Linear) -- A.9 Partial Differential Equation -- A.10 Differential Equations and Physics -- Index.
Abstract:
This book contains some of the problems and solutions in the past domestic theoretical and experimental competitions in Japan for the International Physics Olympiad. Through the exercises, we aim at introducing the appeal and interest of modern physics to high-school students. In particular, the problems for the second-round of competition are like long journey of physics, beginning with fundamental physics of junior-high-school level, and ending with the forefronts of updated physics and technology.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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