Savchenko Solutions team
Savchenko Solutions Core Team Batch of 2025

For over 30 years, the Savchenko physics problem collection has challenged students across post-Soviet countries—yet no comprehensive solution manual existed, until now. Savchenko Solutions is the first global, student-led effort to compile and refine detailed explanations for all 2,023 problems. With 1,534 published solutions in multiple languages, our thriving platform welcomes learners worldwide to collaborate, share insights, and publish in rigorous peer review.

1,534 / 2,023 problems solved (75.8%)

489 problems still unsolved. Can you solve one?

1
Kinematics
111 / 112 solved
§ 1.1 — Constant-speed motion 23 / 23
§ 1.2 — Variable-speed motion 21 / 21
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
§ 1.3 — Motion in gravity field. Curvilinear motion 30 / 30
§ 1.4 — Galileo's transformations 17 / 18
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
§ 1.5 — Motion with constraints 20 / 20
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
2
Dynamics
128 / 392 solved
§ 2.1 — Newton's laws 50 / 67
§ 2.2 — Momentum. Center of mass 11 / 47
§ 2.3 — Kinetic energy. Work. Potential energy 12 / 49
§ 2.4 — Energy of a system. Energy transfer. Power 11 / 45
§ 2.5 — Collisions 8 / 39
§ 2.6 — Gravitational force. Kepler's laws 14 / 53
§ 2.7 — Rotation of a solid body 9 / 48
§ 2.8 — Statics 13 / 44
3
Oscillations and Waves
36 / 247 solved
§ 3.1 — Small deviations from equilibrium 16 / 17
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
§ 3.2 — Period and frequency of free oscillations 16 / 37
§ 3.3 — Harmonic motion 4 / 36
§ 3.4 — The superposition of oscillations 0 / 19
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
§ 3.5 — Forced and damped oscillations 0 / 42
§ 3.6 — Strain and stress. Wave's speed 0 / 28
§ 3.7 — Wave propagation 0 / 22
§ 3.8 — Overlapping and reflection of waves 0 / 20
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
§ 3.9 — Sound. Acoustic resonators 0 / 26
4
Fluid Mechanics
20 / 125 solved
§ 4.1 — Fluid Pressure 5 / 24
§ 4.2 — Swimming. Archimedes' law 12 / 27
§ 4.3 — The motion of an ideal fluid 0 / 21
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
§ 4.4 — Viscous fluid flow 0 / 9
1 2 3 4 5 6 7 8 9
§ 4.5 — Fluid surface tension 2 / 27
§ 4.6 — Capillary phenomena 1 / 17
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
5
Molecular Physics
15 / 232 solved
§ 5.1 — Thermal motion of particles 0 / 11
1 2 3 4 5 6 7 8 9 10 11
§ 5.2 — Distribution of gas molecules by velocity 1 / 17
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
§ 5.3 — Collisions of molecules. Transfer processes 3 / 14
1 2 3 4 5 6 7 8 9 10 11 12 13 14
§ 5.4 — Rare gases. Interaction of molecules with the surface of a solid body 2 / 20
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
§ 5.5 — Equation of state of an ideal gas 2 / 36
§ 5.6 — First Law of Thermodynamics. Heat capacity 3 / 31
§ 5.7 — Gas flow 0 / 9
1 2 3 4 5 6 7 8 9
§ 5.8 — Probability of a thermodynamical state 0 / 16
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
§ 5.9 — Second Law of Thermodynamics 4 / 26
§ 5.10 — Phase transitions 0 / 35
§ 5.11 — Thermal radiation 0 / 17
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
6
Electrostatics
9 / 154 solved
§ 6.1 — Coulomb's law. Electric field 0 / 21
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
§ 6.2 — The flux of the electric field. Gauss's theorem 4 / 15
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
§ 6.3 — The potential of an electric field. Conductors in a constant electric field 0 / 40
§ 6.4 — Capacitors 1 / 18
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
§ 6.5 — Electrical pressure. The energy of an electric field 4 / 30
§ 6.6 — The electric field in the presence of a dielectric 0 / 30
7
Motion of charged particles in an electric field
15 / 95 solved
§ 7.1 — Movement in a constant electric field 9 / 28
§ 7.2 — Focusing charged particles 0 / 14
1 2 3 4 5 6 7 8 9 10 11 12 13 14
§ 7.3 — Motion in an alternating electric field 1 / 15
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
§ 7.4 — Interaction of charged particles 5 / 38
8
Electric current
1 / 124 solved
§ 8.1 — Current. Current density. Current in vacuum 0 / 21
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
§ 8.2 — Conductivity. Resistance. Sources of electromotive force 0 / 34
§ 8.3 — Electric circuits 1 / 48
§ 8.4 — Capacitors and non-linear elements in electrical circuits 0 / 21
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
9
Constant magnetic field
33 / 75 solved
§ 9.1 — Induction of the magnetic field. The effect of a magnetic field on a current 15 / 15
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
§ 9.2 — The magnetic field of a moving charge. Induction of the magnetic field from a linear current 17 / 23
§ 9.3 — The magnetic field from a current distributed over a surface of space 1 / 24
§ 9.4 — Magnetic flux 0 / 13
1 2 3 4 5 6 7 8 9 10 11 12 13
10
Motion of charged particles in complex fields
7 / 41 solved
§ 10.1 — Motion in a homogeneous magnetic field 2 / 29
§ 10.2 — Drift motion of particles 5 / 12
1 2 3 4 5 6 7 8 9 10 11 12
11
Electromagnetic induction
3 / 143 solved
§ 11.1 — The motion of conductors in a constant magnetic field. Electric motors 0 / 32
§ 11.2 — Vortex electric field 1 / 21
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
§ 11.3 — Mutual inductance. Inductance of conductors. Transformers 0 / 25
§ 11.4 — AC electrical circuits 0 / 25
§ 11.5 — Magnetic flux conservation. Superconductors in magnetic field 2 / 28
§ 11.6 — Relation of an alternating electric field to a magnetic field 0 / 12
1 2 3 4 5 6 7 8 9 10 11 12
12
Electromagnetic waves
1 / 49 solved
§ 12.1 — Properties of emission and reflection of electromagnetic waves 1 / 34
§ 12.2 — Propagation of electromagnetic waves 0 / 15
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
13
Geometrical optics. Photometry. Quantum nature of light
13 / 105 solved
§ 13.1 — Rectilinear propagation and reflection of light 0 / 20
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
§ 13.2 — Refraction of light. The lens formula 2 / 23
§ 13.3 — Optical systems 2 / 28
§ 13.4 — Photometry 7 / 25
§ 13.5 — The quantum nature of light 2 / 9
1 2 3 4 5 6 7 8 9
14
Special theory of relativity
6 / 129 solved
§ 14.1 — The constancy of the light speed. Velocity addition 2 / 28
§ 14.2 — The slowing down of time and the reduction in the size of bodies in motion; the Lorentz Transformations 1 / 18
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
§ 14.3 — The transformation of electric and magnetic fields 1 / 28
§ 14.4 — Motion of relativistic particles in electric and magnetic fields 0 / 31
§ 14.5 — Conservation of mass and momentum 2 / 24

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