Basic formulas in physics with explanations. Physics formulas for the Unified State Exam

In order to successfully prepare for the CT in physics and mathematics, among other things, it is necessary to fulfill three most important conditions:

Study all topics and complete all tests and assignments given in the educational materials on this site. To do this, you need nothing at all, namely: devote three to four hours every day to preparing for the CT in physics and mathematics, studying theory and solving problems. The fact is that CT is an exam where it is not enough just to know physics or mathematics, you also need to be able to solve it quickly and without failures a large number of tasks for different topics and of varying complexity. The latter can only be learned by solving thousands of problems.
Learn all the formulas and laws in physics, and formulas and methods in mathematics. In fact, this is also very simple to do, necessary formulas in physics there are only about 200 pieces, and in mathematics even a little less. Each of these items contains about a dozen standard methods solving problems of a basic level of complexity, which can also be learned, and thus completely automatically and without difficulty solved in right moment most CT. After this, you will only have to think about the most difficult tasks.
Attend all three stages of rehearsal testing in physics and mathematics. Each RT can be visited twice to decide on both options. Again, on the CT, in addition to the ability to quickly and efficiently solve problems, and knowledge of formulas and methods, you must also be able to properly plan time, distribute forces, and most importantly, correctly fill out the answer form, without confusing the numbers of answers and problems, or your own last name. Also, during RT, it is important to get used to the style of asking questions in problems, which may seem to an unprepared person very unusual.

Successful, diligent and responsible implementation of these three points will allow you to show up on the CT excellent result, the maximum of what you are capable of.

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The session is approaching, and it’s time for us to move from theory to practice. Over the weekend we sat down and thought that many students would benefit from having a selection of basic physical formulas. Dry formulas with explanation: short, concise, nothing superfluous. A very useful thing when solving problems, you know. And during an exam, when exactly what was memorized the day before might “jump out of your head,” such a selection will serve an excellent purpose.

The most problems are usually asked in the three most popular sections of physics. This Mechanics, thermodynamics And Molecular physics, electricity. Let's take them!

Basic formulas in physics dynamics, kinematics, statics

Let's start with the simplest. The good old favorite straight and uniform movement.

Kinematics formulas:

Of course, let's not forget about motion in a circle, and then we'll move on to dynamics and Newton's laws.

After dynamics, it’s time to consider the conditions of equilibrium of bodies and liquids, i.e. statics and hydrostatics

Now we present the basic formulas on the topic “Work and Energy”. Where would we be without them?

Basic formulas of molecular physics and thermodynamics

Let's finish the mechanics section with formulas for oscillations and waves and move on to molecular physics and thermodynamics.

Coefficient useful action, Gay-Lussac's law, the Clapeyron-Mendeleev equation - all these formulas dear to the heart are collected below.

By the way! There is now a discount for all our readers 10% on .

Basic formulas in physics: electricity

It's time to move on to electricity, even though it is less popular than thermodynamics. Let's start with electrostatics.

And, to the beat of the drum, we end with formulas for Ohm’s law, electromagnetic induction and electromagnetic oscillations.

That's all. Of course, a whole mountain of formulas could be cited, but this is of no use. When there are too many formulas, you can easily get confused and even melt your brain. We hope our cheat sheet of basic physics formulas will help you solve your favorite problems faster and more efficiently. And if you want to clarify something or haven’t found it the required formula: ask the experts student service. Our authors keep hundreds of formulas in their heads and crack problems like nuts. Contact us, and soon any task will be up to you.

Single State exam covers information on the entire physics course from grades 7 to 11. However, if some physics formulas for the Unified State Exam are memorized well on their own, you have to work on others. We will look at some formulas that are useful for solving various problems.

Kinematics

Let's start traditionally with kinematics. Common mistake here is an incorrect calculation of the average speed of the uneven rectilinear motion. IN in this case They try to solve problems using the arithmetic mean. However, everything is not so simple. Arithmetic mean – only special case. And to find the average speed of movement there is a useful formula:

where S is the entire path traveled by the body in certain time t.

Molecular Kinetic Theory (MKT)

MCT can set many insidious “traps” for an inattentive student. To avoid this, you need to be fluent in physics formulas for the Unified State Exam in this area.

Let's start with the Mendeleev-Clapeyron law, which is used for ideal gases. It sounds like this:

where p is the gas pressure,

V is the volume it occupies,

n – amount of gas,

R – universal gas constant,

T – temperature.

Pay attention to examples of problems using this law.

Everyone has an idea of what humidity is. Relative humidity values are reported daily in the media. The following formula will be useful for the exam: here f – relative air humidity,

ρ – density of water vapor in the air,

ρ0 – density saturated steam at a specific temperature.

This last value is a tabular value, so it should be in the problem statement.

Thermodynamics

Thermodynamics is a branch quite close to MCT, so many concepts overlap. Thermodynamics is based on its two principles. Almost every problem in this field requires knowledge and application of the first law of thermodynamics, expressed by the formula

This is formulated as follows:

The amount of heat Q that was received by the system is spent on performing work A on external bodies and change ΔU internal energy of this system.

Archimedes' force

Finally, let's talk about the behavior of bodies immersed in a liquid. Obviously, each of them is acted upon by gravity directed vertically downward. But in liquid all bodies weigh less. This is due to the partial compensation of gravity by the oppositely directed Archimedes force. Its value is Thus, this force, trying to push a body out of a liquid, depends on the density of that very liquid and the volume of the part of the body immersed in it. Archimedes' force also acts in gases, but due to the insignificance of the density of gases, it is usually neglected.

The Unified State Exam tests a student's knowledge in various areas physics. Formulas for the Unified State Exam in physics contribute to the successful solution of problems (you can use) and common understanding basic physical processes.

Cheat sheet with formulas in physics for the Unified State Exam

And not only (may be needed for grades 7, 8, 9, 10 and 11). First, a picture that can be printed in a compact form.

Cheat sheet with formulas in physics for the Unified State Exam and more (may be needed for grades 7, 8, 9, 10 and 11).

and more (may be needed for grades 7, 8, 9, 10 and 11).

And then a Word file that contains all the formulas to print, which are located at the bottom of the article.

Mechanics

Pressure P=F/S
Density ρ=m/V
Pressure at liquid depth P=ρ∙g∙h
Gravity Ft=mg
5. Archimedean force Fa=ρ f ∙g∙Vt
Equation of motion at uniformly accelerated motion

X=X 0 + υ 0 ∙t+(a∙t 2)/2 S=( υ 2 -υ 0 2) /2a 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 Universal gravity F=G∙M∙m/R 2
Weight of a body moving with acceleration a P=m(g+a)
Weight of a body moving with acceleration а↓ Р=m(g-a)
Friction force Ftr=µN
Body momentum p=m υ
Force impulse Ft=∆p
Moment of force M=F∙ℓ
Potential energy of a body raised above the ground Ep=mgh
Potential energy of an 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 mathematical pendulum T=2π√ℓ/g
Oscillation period spring pendulum T=2 π √m/k
The equation harmonic vibrationsХ=Хmax∙cos ωt
Relationship between 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 MKT equation P=nkT=1/3nm 0 υ 2
Gay-Lussac's law (isobaric process) V/T =const
Charles's law (isochoric process) P/T =const
Relative humidity φ=P/P 0 ∙100%
Int. energy ideal. monatomic gas U=3/2∙M/µ∙RT
Gas work A=P∙ΔV
Boyle's Law - Mariotte ( isothermal process) PV=const
Amount of heat during heating Q=Cm(T 2 -T 1)
Amount of heat during melting Q=λm
Amount of heat during vaporization Q=Lm
Amount of heat during fuel combustion Q=qm
Equation of state ideal gas PV=m/M∙RT
First law of thermodynamics ΔU=A+Q
Efficiency of heat engines η= (Q 1 - Q 2)/ Q 1
Efficiency is ideal. engines (Carnot cycle) η= (T 1 - T 2)/ T 1

Electrostatics and electrodynamics - formulas in physics

Coulomb's law F=k∙q 1 ∙q 2 /R 2
Tension electric field E=F/q
Electrical tension fields point charge E=k∙q/R 2
Surface density charges σ = q/S
Electrical tension fields of an infinite plane E=2πkσ
The dielectric constantε=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
Electric capacity of a flat capacitor C=S∙ ε ∙ε 0 /d
Energy of a charged capacitor W=qU/2=q²/2С=CU²/2
Current strength I=q/t
Conductor resistance R=ρ∙ℓ/S
Ohm's law for the circuit section I=U/R
Laws of the last. connections I 1 =I 2 =I, U 1 +U 2 =U, R 1 +R 2 =R
Laws parallel. conn. U 1 =U 2 =U, I 1 +I 2 =I, 1/R 1 +1/R 2 =1/R
Power electric current P=I∙U
Joule-Lenz law Q=I 2 Rt
Ohm's law for complete chain I=ε/(R+r)
Short circuit current (R=0) I=ε/r
Magnetic induction vector B=Fmax/ℓ∙I
Ampere power Fa=IBℓsin α
Lorentz force Fl=Bqυsin α
Magnetic fluxФ=BSсos α Ф=LI
Law of electromagnetic induction Ei=ΔФ/Δt
induced emf in the moving conductor Ei=Вℓ υ sinα
Self-induced emf Esi=-L∙ΔI/Δt
Energy magnetic field coils Wm=LI 2 /2
Oscillation period no. circuit T=2π ∙√LC
Inductive reactance X L =ωL=2πLν
Capacitance Xc=1/ωC
Effective current value Id=Imax/√2,
Effective voltage value Uд=Umax/√2
Impedance Z=√(Xc-X L) 2 +R 2

Optics

Law of light refraction n 21 =n 2 /n 1 = υ 1 / υ 2
Refractive index n 21 =sin α/sin γ
Formula thin lens 1/F=1/d + 1/f
Lens optical power D=1/F
max interference: Δd=kλ,
min interference: Δd=(2k+1)λ/2
Differential grid d∙sin φ=k λ

The quantum physics

Einstein's formula for the photoelectric effect hν=Aout+Ek, Ek=U z e
Red border of the photoelectric effect ν k = 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 =(Zm p +Nm n -Мя)∙c 2

ONE HUNDRED

t=t 1 /√1-υ 2 /c 2
ℓ=ℓ 0 ∙√1-υ 2 /c 2
υ 2 =(υ 1 +υ)/1+ υ 1 ∙υ/c 2
E = m With 2

Size: px

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Transcript

1 Formulas in physics that are recommended to be learned and mastered well for successful passing the Unified State Exam. Version: 0.92 β. Compiled by: Vaulin D.N. Literature: 1. Peryshkin A.V. Physics 7th grade. Textbook for general education institutions. 13th edition, stereotypical. Moscow. Bustard Peryshkin A.V. Physics 8th grade. Textbook for general education institutions. 12th edition, stereotypical. Moscow. Bustard Peryshkin A.V., Gutnik E.M. Physics 9th grade. Textbook for general education institutions. 14th edition, stereotypical. Moscow. Bustard Myakishev G.Ya. and others. Physics. Mechanics 10th grade. Profile level. Textbook for general education institutions. 11th edition, stereotypical. Moscow. Bustard Myakishev G.Ya., Sinyakov A.Z. Physics. Molecular physics. Thermodynamics 10th grade. Profile level. Textbook for general education institutions. 13th edition, stereotypical. Moscow. Bustard Myakishev G.Ya., Sinyakov A.Z., Slobodskov B.A. Physics. Electrodynamics classes. Profile level. Textbook for general education institutions. 11th edition, stereotypical. Moscow. Bustard Myakishev G.Ya., Sinyakov A.Z. Physics. Oscillations and waves 11th grade. Profile level. Textbook for general education institutions. 9th edition, stereotypical. Moscow. Bustard Myakishev G.Ya., Sinyakov A.Z. Physics. Optics. Quantum physics 11th grade. Profile level. Textbook for general education institutions. 9th edition, stereotypical. Moscow. Bustard Formulas in bold are worth learning when you have already mastered the formulas not in bold. 7th grade. 1. average speed: 2. Density: 3. Hooke's Law: 4. Gravity:

2 5. Pressure: 6. Pressure of a liquid column: 7. Archimedean force: 8. Mechanical work: 9. Power of work: 10. Moment of force: 11. Coefficient of efficiency (efficiency) of the mechanism: 12. Potential energy at constant: 13. Kinetic energy: 8th grade. 14. Amount of heat required for heating: 15. Amount of heat released during combustion: 16. Amount of heat required for melting:

3 17. Relative humidity: 18. Amount of heat required for vaporization: 19. Thermal efficiency engine: 20. Useful work heat engine: 21. Law of conservation of charge: 22. Current: 23. Voltage: 24. Resistance: 25. Total resistance serial connection conductors: 26. Total resistance of parallel connection of conductors: 27. Ohm's law for a section of the circuit:

4 28. Power of electric current: 29. Joule-Lenz law: 30. Law of light reflection: 31. Law of light refraction: 32. Lens optical power: 9th grade. 33. Dependence of speed on time during uniformly accelerated motion: 34. Dependence of the radius of a vector on time during uniformly accelerated motion: 35. Newton’s second law: 36. Newton’s third law: 37. Law of universal gravitation:

5 38. Centripetal acceleration: 39. Impulse: 40. Law of energy change: 41. Relationship between period and frequency: 42. Relationship between wavelength and frequency: 43. Law of impulse change: 44. Ampere’s law: 45. Current magnetic field energy: 46 Transformer formula: 47. Effective current value: 48. Effective voltage value:

6 49. Charge of a capacitor: 50. Electrical capacity of a flat capacitor: 51. Total capacitance of parallel-connected capacitors: 52. Energy of the electric field of a 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. The law of radioactive decay: 10th grade. 58. Angular velocity: 59. Relationship between velocity and angular velocity: 60. Law of addition of velocities: 61. Sliding friction force: 62. Static friction force: 3. Medium 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 molecular equation kinetic theory: 67. Particle concentration: 68. Relationship between average kinetic energy particles and gas temperature: 69. Internal energy of gas: 70. Gas work: 71. First law of thermodynamics: 72. Carnot machine efficiency: 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 flow: 8. Gauss's theorem: 76. Potential energy of a charge at constant: 77. Potential energy of interaction of bodies: 78. Potential energy of interaction of charges: 79. Potential: 80. Potential difference: 81. Relationship between the intensity of a uniform electric field and voltage:

10 82. Total electrical capacity of series-connected capacitors: 83. Dependence resistivity from temperature: 84. Kirchhoff's first rule: 85. Ohm's law for a complete circuit: 86. Kirchhoff's second rule: 87. Faraday's law: 11th grade. 9. Biot-Savart-Laplace law: 10. Magnetic induction of an infinite wire: 88. Lorentz force:

11 89. Magnetic flux: 90. Law of electromagnetic induction: 91. Inductance: 92. Dependence of a quantity changing according to a harmonic law on time: 93. Dependence of the rate of change of a quantity changing according to a harmonic law on time: 94. Dependence of the acceleration of a change on a quantity changing 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 reactance:

12 13. Resistance for alternating current: 97. Thin lens formula: 98. Interference maximum condition: 99. Interference minimum condition: 14. Coordinate Lorentz transformations: 15. Time Lorentz transformations: 16. Relativistic law addition of velocities: 100. Dependence of body mass on speed: 17. Relativistic relationship between energy and momentum:

13 101. Photoelectric effect equation: 102. Red border of the photoelectric effect: 103. De Broglie wavelength:

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