Added Luis's English solution of 5.5.16
en/5.5.16.md
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| + | |||
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| + | |||
| + | <title>Savchenko Solutions</title> | ||
| + | <meta property="og:image" content="../img/logo.png"> | ||
| + | <meta property="og:title" content="Savchenko Solutions"/> | ||
| + | <meta name="description" | ||
| + | content="A website with solutions to physics problems from Savenko Textbook" /> | ||
| + | <meta name="keywords" content="physics, olympiads, ipho, savchenko" /> | ||
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| + | </head> | ||
| + | |||
| + | <body id="top"> | ||
| + | <header> | ||
| + | <h2>Solutions of Savchenko Physics Textbook</h2> | ||
| + | <p class="author"> | ||
| + | Aliaksandr Melnichenka <br/> | ||
| + | October 2023 | ||
| + | </p> | ||
| + | </header> | ||
| + | |||
| + | <h2>Contents</h2> | ||
| + | <ol> | ||
| + | <li> | ||
| + | <a href="#1" >Kinematics</a> | ||
| + | <ol> | ||
| + | <li><a href="#1.1">Motion with constant velocity</a></li> | ||
| + | <li><a href="#1.2">Variable speed movement</a></li> | ||
| + | <li><a href="#1.3">Motion in the field of gravity. Curvilinear motion</a></li> | ||
| + | <li><a href="#1.4">Galileo's transformation</a></li> | ||
| + | <li><a href="#1.5">Motion with links</a></li> | ||
| + | </ol> | ||
| + | </li> | ||
| + | <li> | ||
| + | <a href="#2">Dynamics</a> | ||
| + | <ol> | ||
| + | <li><a href="#2.1">Newton's laws</a></li> | ||
| + | <li><a href="#2.2">Impulse. Center of mass</a></li> | ||
| + | <li><a href="#2.3">Kinetic energy. Work. Potential energy</a></li> | ||
| + | <li><a href="#2.4">Energy of the system. Energy transfer. Power</a></li> | ||
| + | <li><a href="#2.5">Collisions</a></li> | ||
| + | <li><a href="#2.6">Gravitational force. Kepler's laws</a></li> | ||
| + | <li><a href="#2.7">Rotation of a rigid body</a></li> | ||
| + | <li><a href="#2.8">Statics</a></li> | ||
| + | </ol> | ||
| + | </li> | ||
| + | <li> | ||
| + | <a href="#3">Oscillations and Waves</a> | ||
| + | <ol> | ||
| + | <li><a href="#3.1">Small deviations from equilibrium</a></li> | ||
| + | <li><a href="#3.2">Period and frequency of free oscillations</a></li> | ||
| + | <li><a href="#3.3">Harmonic motion</a></li> | ||
| + | <li><a href="#3.4">Superposition of oscillations</a></li> | ||
| + | <li><a href="#3.5">Forced and damped oscillations</a></li> | ||
| + | <li><a href="#3.6">Deformations and stresses. Wave speed</a></li> | ||
| + | <li><a href="#3.7">Wave propagation</a></li> | ||
| + | <li><a href="#3.8">Superposition and reflection of waves</a></li> | ||
| + | <li><a href="#3.9">Sound. Acoustic resonators</a></li> | ||
| + | </ol> | ||
| + | </li> | ||
| + | <li> | ||
| + | <a href="#4">Fluid Mechanics</a> | ||
| + | <ol> | ||
| + | <li><a href="#4.1">Pressure of a fluid</a></li> | ||
| + | <li><a href="#4.2">Buoyancy. Archimedes' principle</a></li> | ||
| + | <li><a href="#4.3">Motion of an ideal fluid</a></li> | ||
| + | <li><a href="#4.4">Flow of a viscous fluid</a></li> | ||
| + | <li><a href="#4.5">Surface tension of a liquid</a></li> | ||
| + | <li><a href="#4.6">Capillary phenomena</a></li> | ||
| + | </ol> | ||
| + | </li> | ||
| + | <li> | ||
| + | <a href="#5">Molecular Physics</a> | ||
| + | <ol> | ||
| + | <li><a href="#5.1">Thermal motion of particles</a></li> | ||
| + | <li><a href="#5.2">Distribution of gas molecules by speed</a></li> | ||
| + | <li><a href="#5.3">Molecular collisions. Transport processes</a></li> | ||
| + | <li><a href="#5.4">Rarefied gases. Interaction of molecules with the surface of a solid</a></li> | ||
| + | <li><a href="#5.5">Equation of state of an ideal gas</a></li> | ||
| + | <li><a href="#5.6">First law of thermodynamics. Heat capacity</a></li> | ||
| + | <li><a href="#5.7">Gas effusion</a></li> | ||
| + | <li><a href="#5.8">Probability of a thermodynamic state</a></li> | ||
| + | <li><a href="#5.9">Second law of thermodynamics</a></li> | ||
| + | <li><a href="#5.10">Phase transitions</a></li> | ||
| + | <li><a href="#5.11">Thermal radiation</a></li> | ||
| + | </ol> | ||
| + | </li> | ||
| + | <li> | ||
| + | <a href="#6">Electrostatics</a> | ||
| + | <ol> | ||
| + | <li><a href="#6.1">Coulomb's law. Electric field intensity</a></li> | ||
| + | <li><a href="#6.2">Flux of electric field intensity. Gauss's theorem</a></li> | ||
| + | <li><a href="#6.3">Electric potential. Conductors in a steady electric field</a></li> | ||
| + | <li><a href="#6.4">Capacitors</a></li> | ||
| + | <li><a href="#6.5">Electric pressure. Energy of the electric field</a></li> | ||
| + | <li><a href="#6.6">Electric field with dielectrics</a></li> | ||
| + | </ol> | ||
| + | </li> | ||
| + | <li> | ||
| + | <a href="#7">Motion of charged particles in an electric field</a> | ||
| + | <ol> | ||
| + | <li><a href="#7.1">Motion in a steady electric field</a></li> | ||
| + | <li><a href="#7.2">Focusing of charged particles</a></li> | ||
| + | <li><a href="#7.3">Motion in a variable electric field</a></li> | ||
| + | <li><a href="#7.4">Interaction of charged particles</a></li> | ||
| + | </ol> | ||
| + | </li> | ||
| + | <li> | ||
| + | <a href="#8">Electric current</a> | ||
| + | <ol> | ||
| + | <li><a href="#8.1">Current. Current density. Current in a vacuum</a></li> | ||
| + | <li><a href="#8.2">Conductance. Resistance. Sources of EMF</a></li> | ||
| + | <li><a href="#8.3">Electrical circuits</a></li> | ||
| + | <li><a href="#8.4">Capacitors and nonlinear elements in electrical circuits</a></li> | ||
| + | </ol> | ||
| + | </li> | ||
| + | <li> | ||
| + | <a href="#9">Steady magnetic field</a> | ||
| + | <ol> | ||
| + | <li><a href="#9.1">Magnetic field induction. Effect of magnetic field on current</a></li> | ||
| + | <li><a href="#9.2">Magnetic field of a moving charge. Induction of a linear current</a></li> | ||
| + | <li><a href="#9.3">Magnetic field of current distributed over surface or space</a></li> | ||
| + | <li><a href="#9.4">Magnetic flux</a></li> | ||
| + | </ol> | ||
| + | </li> | ||
| + | <li> | ||
| + | <a href="#10">Motion of charged particles in complex fields</a> | ||
| + | <ol> | ||
| + | <li><a href="#10.1">Motion in a uniform magnetic field</a></li> | ||
| + | <li><a href="#10.2">Drift motion of particles</a></li> | ||
| + | </ol> | ||
| + | </li> | ||
| + | <li> | ||
| + | <a href="#11">Electromagnetic induction</a> | ||
| + | <ol> | ||
| + | <li><a href="#11.1">Motion of conductors in a steady magnetic field. Electric motors</a></li> | ||
| + | <li><a href="#11.2">Eddy electric field</a></li> | ||
| + | <li><a href="#11.3">Mutual inductance. Inductance of conductors. Transformers</a></li> | ||
| + | <li><a href="#11.4">AC electrical circuits</a></li> | ||
| + | <li><a href="#11.5">Conservation of magnetic flux. Superconductors in a magnetic field</a></li> | ||
| + | <li><a href="#11.6">Connection between variable electric and magnetic fields</a></li> | ||
| + | </ol> | ||
| + | </li> | ||
| + | <li> | ||
| + | <a href="#12">Electromagnetic waves</a> | ||
| + | <ol> | ||
| + | <li><a href="#12.1">Properties, emission, and reflection of electromagnetic waves</a></li> | ||
| + | <li><a href="#12.2">Propagation of electromagnetic waves</a></li> | ||
| + | </ol> | ||
| + | </li> | ||
| + | <li> | ||
| + | <a href="#13">Geometrical optics. Photometry. Quantum nature of light</a> | ||
| + | <ol> | ||
| + | <li><a href="#13.1">Rectilinear propagation and reflection of light</a></li> | ||
| + | <li><a href="#13.2">Refraction of light. Lens formula</a></li> | ||
| + | <li><a href="#13.3">Optical systems</a></li> | ||
| + | <li><a href="#13.4">Photometry</a></li> | ||
| + | <li><a href="#13.5">Quantum nature of light</a></li> | ||
| + | </ol> | ||
| + | </li> | ||
| + | <li> | ||
| + | <a href="#14">Special theory of relativity</a> | ||
| + | <ol> | ||
| + | <li><a href="#14.1">Constancy of the speed of light. Addition of velocities</a></li> | ||
| + | <li><a href="#14.2">Time dilation, length contraction in moving systems. Lorentz transformation</a></li> | ||
| + | <li><a href="#14.3">Transformation of electric and magnetic fields</a></li> | ||
| + | <li><a href="#14.4">Motion of relativistic particles in electric and magnetic fields</a></li> | ||
| + | <li><a href="#14.5">Law of conservation of mass and momentum</a></li> | ||
| + | </ol> | ||
| + | </li> | ||
| + | </ol> | ||
| + | |||
| + | |||
| + | <main> | ||
| + | <article> | ||
| + | <h2 id="1" style="text-align: center;">Chapter 1. Kinematics</h2> | ||
| + | <h3 id="1.1" style="text-align: center;">§ 1.1.Motion with constant velocity</h3> | ||
| + | <div class="columns"> | ||
| + | <ul class="column"> | ||
| + | <li><a href="./1.1.1">1.1.1</a></li> | ||
| + | <li><a href="./1.1.1">1.1.2</a></li> | ||
| + | </ul> | ||
| + | </div> | ||
| + | <h3 id="1.2" style="text-align: center;">§ 1.2.Variable speed movement</h3> | ||
| + | <h3 id="1.3" style="text-align: center;">§ 1.3.Motion in the field of gravity. Curvilinear motion</h3> | ||
| + | <h3 id="1.4" style="text-align: center;">§ 1.4.Galileo's transformation</h3> | ||
| + | <h3 id="1.5" style="text-align: center;">§ 1.5.Motion with links</h3> | ||
| + | |||
| + | </article> | ||
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| <!DOCTYPE html> | |||
| <html lang="en"> | |||
| <head> | |||
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| <title>Savchenko Solutions</title> | |||
| <meta property="og:image" content="../img/logo.png"> | |||
| <meta property="og:title" content="Savchenko Solutions"/> | |||
| <meta name="description" | |||
| content="A website with solutions to physics problems from Savenko Textbook" /> | |||
| <meta name="keywords" content="physics, olympiads, ipho, savchenko" /> | |||
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| </head> | |||
| <body id="top"> | |||
| <header> | |||
| <h2>Solutions of Savchenko Physics Textbook</h2> | |||
| <p class="author"> | |||
| Aliaksandr Melnichenka <br/> | |||
| October 2023 | |||
| </p> | |||
| </header> | |||
| <h2>Contents</h2> | |||
| <ol> | |||
| <li> | |||
| <a href="#1" >Kinematics</a> | |||
| <ol> | |||
| <li><a href="#1.1">Motion with constant velocity</a></li> | |||
| <li><a href="#1.2">Variable speed movement</a></li> | |||
| <li><a href="#1.3">Motion in the field of gravity. Curvilinear motion</a></li> | |||
| <li><a href="#1.4">Galileo's transformation</a></li> | |||
| <li><a href="#1.5">Motion with links</a></li> | |||
| </ol> | |||
| </li> | |||
| <li> | |||
| <a href="#2">Dynamics</a> | |||
| <ol> | |||
| <li><a href="#2.1">Newton's laws</a></li> | |||
| <li><a href="#2.2">Impulse. Center of mass</a></li> | |||
| <li><a href="#2.3">Kinetic energy. Work. Potential energy</a></li> | |||
| <li><a href="#2.4">Energy of the system. Energy transfer. Power</a></li> | |||
| <li><a href="#2.5">Collisions</a></li> | |||
| <li><a href="#2.6">Gravitational force. Kepler's laws</a></li> | |||
| <li><a href="#2.7">Rotation of a rigid body</a></li> | |||
| <li><a href="#2.8">Statics</a></li> | |||
| </ol> | |||
| </li> | |||
| <li> | |||
| <a href="#3">Oscillations and Waves</a> | |||
| <ol> | |||
| <li><a href="#3.1">Small deviations from equilibrium</a></li> | |||
| <li><a href="#3.2">Period and frequency of free oscillations</a></li> | |||
| <li><a href="#3.3">Harmonic motion</a></li> | |||
| <li><a href="#3.4">Superposition of oscillations</a></li> | |||
| <li><a href="#3.5">Forced and damped oscillations</a></li> | |||
| <li><a href="#3.6">Deformations and stresses. Wave speed</a></li> | |||
| <li><a href="#3.7">Wave propagation</a></li> | |||
| <li><a href="#3.8">Superposition and reflection of waves</a></li> | |||
| <li><a href="#3.9">Sound. Acoustic resonators</a></li> | |||
| </ol> | |||
| </li> | |||
| <li> | |||
| <a href="#4">Fluid Mechanics</a> | |||
| <ol> | |||
| <li><a href="#4.1">Pressure of a fluid</a></li> | |||
| <li><a href="#4.2">Buoyancy. Archimedes' principle</a></li> | |||
| <li><a href="#4.3">Motion of an ideal fluid</a></li> | |||
| <li><a href="#4.4">Flow of a viscous fluid</a></li> | |||
| <li><a href="#4.5">Surface tension of a liquid</a></li> | |||
| <li><a href="#4.6">Capillary phenomena</a></li> | |||
| </ol> | |||
| </li> | |||
| <li> | |||
| <a href="#5">Molecular Physics</a> | |||
| <ol> | |||
| <li><a href="#5.1">Thermal motion of particles</a></li> | |||
| <li><a href="#5.2">Distribution of gas molecules by speed</a></li> | |||
| <li><a href="#5.3">Molecular collisions. Transport processes</a></li> | |||
| <li><a href="#5.4">Rarefied gases. Interaction of molecules with the surface of a solid</a></li> | |||
| <li><a href="#5.5">Equation of state of an ideal gas</a></li> | |||
| <li><a href="#5.6">First law of thermodynamics. Heat capacity</a></li> | |||
| <li><a href="#5.7">Gas effusion</a></li> | |||
| <li><a href="#5.8">Probability of a thermodynamic state</a></li> | |||
| <li><a href="#5.9">Second law of thermodynamics</a></li> | |||
| <li><a href="#5.10">Phase transitions</a></li> | |||
| <li><a href="#5.11">Thermal radiation</a></li> | |||
| </ol> | |||
| </li> | |||
| <li> | |||
| <a href="#6">Electrostatics</a> | |||
| <ol> | |||
| <li><a href="#6.1">Coulomb's law. Electric field intensity</a></li> | |||
| <li><a href="#6.2">Flux of electric field intensity. Gauss's theorem</a></li> | |||
| <li><a href="#6.3">Electric potential. Conductors in a steady electric field</a></li> | |||
| <li><a href="#6.4">Capacitors</a></li> | |||
| <li><a href="#6.5">Electric pressure. Energy of the electric field</a></li> | |||
| <li><a href="#6.6">Electric field with dielectrics</a></li> | |||
| </ol> | |||
| </li> | |||
| <li> | |||
| <a href="#7">Motion of charged particles in an electric field</a> | |||
| <ol> | |||
| <li><a href="#7.1">Motion in a steady electric field</a></li> | |||
| <li><a href="#7.2">Focusing of charged particles</a></li> | |||
| <li><a href="#7.3">Motion in a variable electric field</a></li> | |||
| <li><a href="#7.4">Interaction of charged particles</a></li> | |||
| </ol> | |||
| </li> | |||
| <li> | |||
| <a href="#8">Electric current</a> | |||
| <ol> | |||
| <li><a href="#8.1">Current. Current density. Current in a vacuum</a></li> | |||
| <li><a href="#8.2">Conductance. Resistance. Sources of EMF</a></li> | |||
| <li><a href="#8.3">Electrical circuits</a></li> | |||
| <li><a href="#8.4">Capacitors and nonlinear elements in electrical circuits</a></li> | |||
| </ol> | |||
| </li> | |||
| <li> | |||
| <a href="#9">Steady magnetic field</a> | |||
| <ol> | |||
| <li><a href="#9.1">Magnetic field induction. Effect of magnetic field on current</a></li> | |||
| <li><a href="#9.2">Magnetic field of a moving charge. Induction of a linear current</a></li> | |||
| <li><a href="#9.3">Magnetic field of current distributed over surface or space</a></li> | |||
| <li><a href="#9.4">Magnetic flux</a></li> | |||
| </ol> | |||
| </li> | |||
| <li> | |||
| <a href="#10">Motion of charged particles in complex fields</a> | |||
| <ol> | |||
| <li><a href="#10.1">Motion in a uniform magnetic field</a></li> | |||
| <li><a href="#10.2">Drift motion of particles</a></li> | |||
| </ol> | |||
| </li> | |||
| <li> | |||
| <a href="#11">Electromagnetic induction</a> | |||
| <ol> | |||
| <li><a href="#11.1">Motion of conductors in a steady magnetic field. Electric motors</a></li> | |||
| <li><a href="#11.2">Eddy electric field</a></li> | |||
| <li><a href="#11.3">Mutual inductance. Inductance of conductors. Transformers</a></li> | |||
| <li><a href="#11.4">AC electrical circuits</a></li> | |||
| <li><a href="#11.5">Conservation of magnetic flux. Superconductors in a magnetic field</a></li> | |||
| <li><a href="#11.6">Connection between variable electric and magnetic fields</a></li> | |||
| </ol> | |||
| </li> | |||
| <li> | |||
| <a href="#12">Electromagnetic waves</a> | |||
| <ol> | |||
| <li><a href="#12.1">Properties, emission, and reflection of electromagnetic waves</a></li> | |||
| <li><a href="#12.2">Propagation of electromagnetic waves</a></li> | |||
| </ol> | |||
| </li> | |||
| <li> | |||
| <a href="#13">Geometrical optics. Photometry. Quantum nature of light</a> | |||
| <ol> | |||
| <li><a href="#13.1">Rectilinear propagation and reflection of light</a></li> | |||
| <li><a href="#13.2">Refraction of light. Lens formula</a></li> | |||
| <li><a href="#13.3">Optical systems</a></li> | |||
| <li><a href="#13.4">Photometry</a></li> | |||
| <li><a href="#13.5">Quantum nature of light</a></li> | |||
| </ol> | |||
| </li> | |||
| <li> | |||
| <a href="#14">Special theory of relativity</a> | |||
| <ol> | |||
| <li><a href="#14.1">Constancy of the speed of light. Addition of velocities</a></li> | |||
| <li><a href="#14.2">Time dilation, length contraction in moving systems. Lorentz transformation</a></li> | |||
| <li><a href="#14.3">Transformation of electric and magnetic fields</a></li> | |||
| <li><a href="#14.4">Motion of relativistic particles in electric and magnetic fields</a></li> | |||
| <li><a href="#14.5">Law of conservation of mass and momentum</a></li> | |||
| </ol> | |||
| </li> | |||
| </ol> | |||
| <main> | |||
| <article> | |||
| <h2 id="1" style="text-align: center;">Chapter 1. Kinematics</h2> | |||
| <h3 id="1.1" style="text-align: center;">§ 1.1.Motion with constant velocity</h3> | |||
| <div class="columns"> | |||
| <ul class="column"> | |||
| <li><a href="./1.1.1">1.1.1</a></li> | |||
| <li><a href="./1.1.1">1.1.2</a></li> | |||
| </ul> | |||
| </div> | |||
| <h3 id="1.2" style="text-align: center;">§ 1.2.Variable speed movement</h3> | |||
| <h3 id="1.3" style="text-align: center;">§ 1.3.Motion in the field of gravity. Curvilinear motion</h3> | |||
| <h3 id="1.4" style="text-align: center;">§ 1.4.Galileo's transformation</h3> | |||
| <h3 id="1.5" style="text-align: center;">§ 1.5.Motion with links</h3> | |||
| </article> | |||
| </main> | |||
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