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1 Formulas in physics that are recommended to be learned and mastered well for the successful passing of the exam. Version: 0.92β. Compiled by: Vaulin D.N. References: 1. Peryshkin A.V. Physics grade 7. Textbook for educational institutions. 13th edition, stereotypical. Moscow. Bustard Peryshkin A.V. Physics grade 8. Textbook for educational institutions. 12th edition, stereotypical. Moscow. Bustard Peryshkin A.V., Gutnik E.M. Physics grade 9. Textbook for educational institutions. 14th edition, stereotypical. Moscow. Bustard Myakishev G.Ya. etc. Physics. Mechanics grade 10. profile level. Textbook for educational institutions. 11th edition, stereotypical. Moscow. Bustard Myakishev G.Ya., Sinyakov A.Z. Physics. Molecular physics. Thermodynamics grade 10. profile level. Textbook for educational institutions. 13th edition, stereotypical. Moscow. Bustard Myakishev G.Ya., Sinyakov A.Z., Slobodskov B.A. Physics. Electrodynamics classes. profile level. Textbook for educational institutions. 11th edition, stereotypical. Moscow. Bustard Myakishev G.Ya., Sinyakov A.Z. Physics. Oscillations and waves Grade 11. profile level. Textbook for educational institutions. 9th edition, stereotypical. Moscow. Bustard Myakishev G.Ya., Sinyakov A.Z. Physics. Optics. Quantum physics grade 11. profile level. Textbook for educational institutions. 9th edition, stereotypical. Moscow. Bustard Formulas in bold are worth learning when formulas not highlighted in bold are already perfectly mastered. 7th grade. one. average speed: 2. Density: 3. Hooke's Law: 4. Gravity:
2 5. Pressure: 6. Pressure of the liquid column: 7. Archimedean force: 8. Mechanical work: 9. Power of doing work: 10. Moment of force: 11. Coefficient of performance (COP) of the mechanism: 12. Potential energy at constant: 13 .Kinetic energy: Grade 8. 14. The amount of heat required for heating: 15. The amount of heat released during combustion: 16. The amount of heat required for melting:
3 17. Relative Humidity air: 18. The amount of heat required for vaporization: 19. The efficiency of the heat engine: 20. useful work heat engine: 21. Law of conservation of charge: 22. Current: 23. Voltage: 24. Resistance: 25. Total resistance of the series connection of conductors: 26. Total resistance of the parallel connection of conductors: 27. Ohm's law for the circuit section:
4 28. Electric current power: 29. Joule-Lenz law: 30. Light reflection law: 31. Light refraction law: 32. Optical power of the lens: class 9. 33. Dependence of speed on time with uniformly accelerated motion: 34. Dependence of the radius vector on time with uniformly accelerated motion: 35. Newton's second law: 36. Newton's third law: 37. Law of universal gravitation:
5 38. Centripetal acceleration: 39. Momentum: 40. Law of energy change: 41. Relationship of period and frequency: 42. Relationship of wavelength and frequency: 43. Law of change of momentum: 44. Ampère's law: 45. Energy of the magnetic field of current: 46 Transformer formula: 47 RMS current: 48 RMS voltage:
6 49. Capacitor charge: 50. Flat capacitor capacitance: 51. Total capacitance of capacitors connected in parallel: 52. Energy electric field capacitor: 53. Thompson's formula: 54. Photon energy: 55. Absorption of a photon by an atom: 56. Relationship between mass and energy: 1. Absorbed radiation dose: 2. Equivalent radiation dose:
7 57. Law of radioactive decay: Grade 10. 58. Angular velocity: 59. Relationship of velocity with angular: 60. Law of addition of velocities: 61. Sliding friction force: 62. Resting friction force: 3. Environmental resistance force: [ 63. Potential energy of an extended spring: 4. Radius vector of the center of mass :
8 64. Amount of substance: 65. Mendeleev-Clapeyron equation: 66. Basic equation of molecular kinetic theory: 67. Particle concentration: 68. Relationship between average kinetic energy of particles and gas temperature: 69. Gas internal energy: 70. Gas work: 71 First law of thermodynamics: 72. Efficiency of Carnot machine: 5. Thermal linear expansion: 6. Thermal volumetric expansion:
9 73. Coulomb's law: 74. Electric field strength: 75. Electric field strength of a point charge: 7. Electric field strength flux: 8. Gauss theorem: 76. Potential charge energy at constant: 77. Potential energy of interaction of bodies: 78. Potential energy of interaction of charges: 79. Potential: 80. Potential difference: 81. Relation of the intensity of a homogeneous electric field and voltage:
10 82. Total capacitance of series-connected capacitors: 83. Dependence of resistivity on temperature: 84. Kirchhoff's first rule: 85. Ohm's law for a complete circuit: 86. Kirchhoff's second rule: 87. Faraday's law: class 11. 9. Law of Biot-Savart-Laplace: 10. Magnetic induction of an endless wire: 88. Lorentz force:
11 89. Magnetic flux: 90. The law of electromagnetic induction: 91. Inductance: 92. The dependence of a quantity that changes according to a harmonic law on time: 93. The dependence of the rate of change of a quantity that changes according to a harmonic law on time: 94. The dependence of the acceleration of a change in a quantity that changes according to the harmonic law of time: 95. Period of oscillation of a thread pendulum: 96. Period of oscillation of a spring pendulum: 11. Capacitance: 12. Inductive resistance:
12 13. AC resistance: 97. Thin lens formula: 98. Interference maximum condition: 99. Interference minimum condition: 14. Lorentz transformation of coordinates: 15. Lorentz transformation of time: 16. Relativistic law of velocity addition: 100. Body mass dependence on speed: 17. Relativistic relationship between energy and momentum:
13 101. Photoelectric effect equation: 102. Photoelectric effect red border: 103. De Broglie wavelength:
The program of entrance examinations for subject"Physics" for persons with a general secondary education, to obtain higher education Stage I, 2018 1 APPROVED Order of the Minister of Education
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Cheat sheet with formulas in physics for the exam
Cheat sheet with formulas in physics for the exam
And not only (may need 7, 8, 9, 10 and 11 classes). For starters, a picture that can be printed in a compact form.
And not only (may need 7, 8, 9, 10 and 11 classes). For starters, a picture that can be printed in a compact form.
A cheat sheet with formulas in physics for the Unified State Examination and not only (grades 7, 8, 9, 10 and 11 may need it).
and not only (may need 7, 8, 9, 10 and 11 classes).
And then the Word file, which contains all the formulas to print them, which are at the bottom of the article.
Mechanics
- Pressure P=F/S
- Density ρ=m/V
- Pressure at the depth of the liquid P=ρ∙g∙h
- Gravity Ft=mg
- 5. Archimedean force Fa=ρ w ∙g∙Vt
- Equation of motion for uniformly accelerated motion
X=X0 + υ 0∙t+(a∙t 2)/2 S=( υ 2 -υ 0 2) /2а S=( υ +υ 0) ∙t /2
- Velocity equation for uniformly accelerated motion υ =υ 0 +a∙t
- Acceleration a=( υ -υ 0)/t
- Circular speed υ =2πR/T
- Centripetal acceleration a= υ 2/R
- Relationship between period and frequency ν=1/T=ω/2π
- Newton's II law F=ma
- Hooke's law Fy=-kx
- Law of universal gravitation F=G∙M∙m/R 2
- The weight of a body moving with acceleration a P \u003d m (g + a)
- The weight of a body moving with acceleration a ↓ P \u003d m (g-a)
- Friction force Ffr=µN
- Body momentum p=m υ
- Force impulse Ft=∆p
- Moment M=F∙ℓ
- Potential energy of a body raised above the ground Ep=mgh
- Potential energy of elastically deformed body Ep=kx 2 /2
- Kinetic energy of the body Ek=m υ 2 /2
- Work A=F∙S∙cosα
- Power N=A/t=F∙ υ
- Efficiency η=Ap/Az
- Oscillation period of the mathematical pendulum T=2π√ℓ/g
- Oscillation period of a spring pendulum T=2 π √m/k
- The equation of harmonic oscillations Х=Хmax∙cos ωt
- Relationship of the wavelength, its speed and period λ= υ T
Molecular physics and thermodynamics
- Amount of substance ν=N/ Na
- Molar mass M=m/v
- Wed. kin. energy of monatomic gas molecules Ek=3/2∙kT
- Basic equation of MKT P=nkT=1/3nm 0 υ 2
- Gay-Lussac law (isobaric process) V/T =const
- Charles' law (isochoric process) P/T =const
- Relative humidity φ=P/P 0 ∙100%
- Int. ideal energy. monatomic gas U=3/2∙M/µ∙RT
- Gas work A=P∙ΔV
- Boyle's law - Mariotte (isothermal process) PV=const
- The amount of heat during heating Q \u003d Cm (T 2 -T 1)
- The amount of heat during melting Q=λm
- The amount of heat during vaporization Q=Lm
- The amount of heat during fuel combustion Q=qm
- The equation of state for an ideal gas is PV=m/M∙RT
- First law of thermodynamics ΔU=A+Q
- Efficiency of heat engines η= (Q 1 - Q 2) / Q 1
- Ideal efficiency. engines (Carnot cycle) η \u003d (T 1 - T 2) / T 1
Electrostatics and electrodynamics - formulas in physics
- Coulomb's law F=k∙q 1 ∙q 2 /R 2
- Electric field strength E=F/q
- Email tension. field of a point charge E=k∙q/R 2
- Surface charge density σ = q/S
- Email tension. fields of the infinite plane E=2πkσ
- Dielectric constant ε=E 0 /E
- Potential energy of interaction. charges W= k∙q 1 q 2 /R
- Potential φ=W/q
- Point charge potential φ=k∙q/R
- Voltage U=A/q
- For a uniform electric field U=E∙d
- Electric capacity C=q/U
- Capacitance of a flat capacitor C=S∙ ε ∙ε 0/d
- Energy of a charged capacitor W=qU/2=q²/2С=CU²/2
- Current I=q/t
- Conductor resistance R=ρ∙ℓ/S
- Ohm's law for the circuit section I=U/R
- The laws of the last compounds I 1 \u003d I 2 \u003d I, U 1 + U 2 \u003d U, R 1 + R 2 \u003d R
- Parallel laws. conn. U 1 \u003d U 2 \u003d U, I 1 + I 2 \u003d I, 1 / R 1 + 1 / R 2 \u003d 1 / R
- Electric current power P=I∙U
- Joule-Lenz law Q=I 2 Rt
- Ohm's law for a complete chain I=ε/(R+r)
- Short circuit current (R=0) I=ε/r
- Magnetic induction vector B=Fmax/ℓ∙I
- Ampere Force Fa=IBℓsin α
- Lorentz force Fл=Bqυsin α
- Magnetic flux Ф=BSсos α Ф=LI
- Law of electromagnetic induction Ei=ΔФ/Δt
- EMF of induction in moving conductor Ei=Вℓ υ sinα
- EMF of self-induction Esi=-L∙ΔI/Δt
- The energy of the magnetic field of the coil Wm \u003d LI 2 / 2
- Oscillation period count. contour T=2π ∙√LC
- Inductive reactance X L =ωL=2πLν
- Capacitance Xc=1/ωC
- The current value of the current Id \u003d Imax / √2,
- RMS voltage Ud=Umax/√2
- Impedance Z=√(Xc-X L) 2 +R 2
Optics
- The law of refraction of light n 21 \u003d n 2 / n 1 \u003d υ 1 / υ 2
- Refractive index n 21 =sin α/sin γ
- Thin lens formula 1/F=1/d + 1/f
- Optical power of the lens D=1/F
- max interference: Δd=kλ,
- min interference: Δd=(2k+1)λ/2
- Differential grating d∙sin φ=k λ
The quantum physics
- Einstein's formula for the photoelectric effect hν=Aout+Ek, Ek=U ze
- Red border of the photoelectric effect ν to = Aout/h
- Photon momentum P=mc=h/ λ=E/s
Physics of the atomic nucleus
- Law of radioactive decay N=N 0 ∙2 - t / T
- Binding energy of atomic nuclei
E CB \u003d (Zm p + Nm n -Mya)∙c 2
HUNDRED
- t \u003d t 1 / √1-υ 2 / c 2
- ℓ=ℓ 0 ∙√1-υ 2 /c 2
- υ 2 \u003d (υ 1 + υ) / 1 + υ 1 ∙υ / c 2
- E = m with 2
Cheat sheet with formulas in physics for the exam
and not only (may need 7, 8, 9, 10 and 11 classes).
For starters, a picture that can be printed in a compact form.
Mechanics
- Pressure P=F/S
- Density ρ=m/V
- Pressure at the depth of the liquid P=ρ∙g∙h
- Gravity Ft=mg
- 5. Archimedean force Fa=ρ w ∙g∙Vt
- Equation of motion for uniformly accelerated motion
X=X0 + υ 0∙t+(a∙t 2)/2 S=( υ 2 -υ 0 2) /2а S=( υ +υ 0) ∙t /2
- Velocity equation for uniformly accelerated motion υ =υ 0 +a∙t
- Acceleration a=( υ -υ 0)/t
- Circular speed υ =2πR/T
- Centripetal acceleration a= υ 2/R
- Relationship between period and frequency ν=1/T=ω/2π
- Newton's II law F=ma
- Hooke's law Fy=-kx
- Law of universal gravitation F=G∙M∙m/R 2
- The weight of a body moving with acceleration a P \u003d m (g + a)
- The weight of a body moving with acceleration a ↓ P \u003d m (g-a)
- Friction force Ffr=µN
- Body momentum p=m υ
- Force impulse Ft=∆p
- Moment M=F∙ℓ
- Potential energy of a body raised above the ground Ep=mgh
- Potential energy of elastically deformed body Ep=kx 2 /2
- Kinetic energy of the body Ek=m υ 2 /2
- Work A=F∙S∙cosα
- Power N=A/t=F∙ υ
- Efficiency η=Ap/Az
- Oscillation period of the mathematical pendulum T=2π√ℓ/g
- Oscillation period of a spring pendulum T=2 π √m/k
- The equation of harmonic oscillations Х=Хmax∙cos ωt
- Relationship of the wavelength, its speed and period λ= υ T
Molecular physics and thermodynamics
- Amount of substance ν=N/ Na
- Molar mass M=m/ν
- Wed. kin. energy of monatomic gas molecules Ek=3/2∙kT
- Basic equation of MKT P=nkT=1/3nm 0 υ 2
- Gay-Lussac law (isobaric process) V/T =const
- Charles' law (isochoric process) P/T =const
- Relative humidity φ=P/P 0 ∙100%
- Int. ideal energy. monatomic gas U=3/2∙M/µ∙RT
- Gas work A=P∙ΔV
- Boyle's law - Mariotte (isothermal process) PV=const
- The amount of heat during heating Q \u003d Cm (T 2 -T 1)
- The amount of heat during melting Q=λm
- The amount of heat during vaporization Q=Lm
- The amount of heat during fuel combustion Q=qm
- The equation of state for an ideal gas is PV=m/M∙RT
- First law of thermodynamics ΔU=A+Q
- Efficiency of heat engines η= (Q 1 - Q 2) / Q 1
- Ideal efficiency. engines (Carnot cycle) η \u003d (T 1 - T 2) / T 1
Electrostatics and electrodynamics - formulas in physics
- Coulomb's law F=k∙q 1 ∙q 2 /R 2
- Electric field strength E=F/q
- Email tension. field of a point charge E=k∙q/R 2
- Surface charge density σ = q/S
- Email tension. fields of the infinite plane E=2πkσ
- Dielectric constant ε=E 0 /E
- Potential energy of interaction. charges W= k∙q 1 q 2 /R
- Potential φ=W/q
- Point charge potential φ=k∙q/R
- Voltage U=A/q
- For a uniform electric field U=E∙d
- Electric capacity C=q/U
- Capacitance of a flat capacitor C=S∙ ε ∙ε 0/d
- Energy of a charged capacitor W=qU/2=q²/2С=CU²/2
- Current I=q/t
- Conductor resistance R=ρ∙ℓ/S
- Ohm's law for the circuit section I=U/R
- The laws of the last compounds I 1 \u003d I 2 \u003d I, U 1 + U 2 \u003d U, R 1 + R 2 \u003d R
- Parallel laws. conn. U 1 \u003d U 2 \u003d U, I 1 + I 2 \u003d I, 1 / R 1 + 1 / R 2 \u003d 1 / R
- Electric current power P=I∙U
- Joule-Lenz law Q=I 2 Rt
- Ohm's law for a complete chain I=ε/(R+r)
- Short circuit current (R=0) I=ε/r
- Magnetic induction vector B=Fmax/ℓ∙I
- Ampere Force Fa=IBℓsin α
- Lorentz force Fл=Bqυsin α
- Magnetic flux Ф=BSсos α Ф=LI
- Law of electromagnetic induction Ei=ΔФ/Δt
- EMF of induction in moving conductor Ei=Вℓ υ sinα
- EMF of self-induction Esi=-L∙ΔI/Δt
- The energy of the magnetic field of the coil Wm \u003d LI 2 / 2
- Oscillation period count. contour T=2π ∙√LC
- Inductive reactance X L =ωL=2πLν
- Capacitance Xc=1/ωC
- The current value of the current Id \u003d Imax / √2,
- RMS voltage Ud=Umax/√2
- Impedance Z=√(Xc-X L) 2 +R 2
Optics
- The law of refraction of light n 21 \u003d n 2 / n 1 \u003d υ 1 / υ 2
- Refractive index n 21 =sin α/sin γ
- Thin lens formula 1/F=1/d + 1/f
- Optical power of the lens D=1/F
- max interference: Δd=kλ,
- min interference: Δd=(2k+1)λ/2
- Differential grating d∙sin φ=k λ
The quantum physics
- Einstein's formula for the photoelectric effect hν=Aout+Ek, Ek=U ze
- Red border of the photoelectric effect ν to = Aout/h
- Photon momentum P=mc=h/ λ=E/s
Physics of the atomic nucleus
Absolutely necessary so that a person who decides to study this science, armed with them, can feel in the world of physics like a fish in water. Without knowing the formulas, it is unthinkable to solve problems in physics. But it is almost impossible to remember all the formulas and it is important to know, especially for a young mind, where to find this or that formula and when to apply it.
The location of physical formulas in specialized textbooks is usually distributed among the corresponding sections among text information, so searching for them there can take quite a lot of time, and even more so if you suddenly need them urgently!
Presented below physics cheat sheets contain all the basic formulas from the course of physics that will be useful to students of schools and universities.
All formulas of the school course in physics from the site http://4ege.ru
I. Kinematics download
1. Basic concepts
2. Laws of addition of velocities and accelerations
3. Normal and tangential accelerations
4. Types of movements
4.1. Uniform movement
4.1.1. Uniform rectilinear motion
4.1.2. Uniform circular motion
4.2. Movement with constant acceleration
4.2.1. Uniformly accelerated motion
4.2.2. Uniformly slow motion
4.3. harmonic movement
II. Dynamics download
1. Newton's second law
2. The theorem on the motion of the center of mass
3. Newton's third law
4. Forces
5. Gravitational force
6. Forces acting through contact
III. Conservation laws. Work and power download
1. Momentum of a material point
2. Momentum of the system of material points
3. Theorem on the change in momentum of a material point
4. Theorem on the change in the momentum of a system of material points
5. Law of conservation of momentum
6. Work force
7. Power
8. Mechanical energy
9. Mechanical energy theorem
10. Law of conservation of mechanical energy
11. Dissipative forces
12. Methods for calculating work
13. Time Average Force
IV. Download statics and hydrostatics
1. Equilibrium conditions
2. Torque
3. Unstable balance, stable balance, indifferent balance
4. Center of mass, center of gravity
5. Force of hydrostatic pressure
6. Fluid pressure
7. Pressure at any point in the liquid
8, 9. Pressure in a homogeneous fluid at rest
10. Archimedean force
v. Thermal phenomena download
1. Mendeleev-Clapeyron equation
2. Dalton's Law
3. Basic equation of the MKT
4. Gas laws
5. First law of thermodynamics
6. Adiabatic process
7. Efficiency of a cyclic process (heat engine)
8. Saturated steam
VI. Electrostatics download
1. Coulomb's law
2. Principle of superposition
3. Electric field
3.1. The strength and potential of the electric field created by one point charge Q
3.2. The intensity and potential of the electric field created by a system of point charges Q1, Q2, ...
3.3. The intensity and potential of the electric field created by a ball uniformly charged over the surface
3.4. Strength and potential of a uniform electric field (created by a uniformly charged plane or a flat capacitor)
4. Potential energy of a system of electric charges
5. Electricity
6. Properties of a conductor in an electric field
VII. DC download
1.Ordered speed
2. Current
3. Current density
4. Ohm's law for a circuit section that does not contain EMF
5. Ohm's law for a circuit section containing EMF
6. Ohm's law for a complete (closed) circuit
7. Series connection of conductors
8. Parallel connection of conductors
9. Work and power of electric current
10. Efficiency of the electrical circuit
11. The condition for the allocation of maximum power to the load
12. Faraday's law for electrolysis
VIII. Magnetic phenomena download
1. Magnetic field
2. Movement of charges in a magnetic field
3. Frame with current in a magnetic field
4. Magnetic fields, created by various currents
5. Interaction of currents
6. The phenomenon of electromagnetic induction
7. The phenomenon of self-induction
IX. Oscillations and waves download
1. Fluctuations, definitions
2. Harmonic vibrations
3. The simplest oscillatory systems
4. Wave
x. Optics download
1. Law of reflection
2. Law of refraction
3. Lens
4. Image
5. Possible cases of the location of the subject
6. Interference
7. Diffraction
Big physics cheat sheet. All formulas are presented in a compact form with a few comments. The cheat sheet also contains useful constants and other information. The file contains the following sections of physics:
Mechanics (kinematics, dynamics and statics)
Molecular physics. Properties of gases and liquids
Thermodynamics
Electrical and electromagnetic phenomena
Electrodynamics. D.C
Electromagnetism
Vibrations and waves. Optics. Acoustics
Quantum physics and the theory of relativity
Small spur on physics. Everything you need for the exam. Cutting the basic formulas in physics on one page. Not very aesthetically pleasing, but practical. :-)
