Physics Formulas Library & Key Equations

Physics Formulas & Equations Library — Every Formula You Need

Every physics formula and equation organized by topic — with clear formulas, names, definitions, and SI units. Bookmark this guide for quick exam reference.

Essential Mechanics & Machinery Formulas

Calculate force, mass, acceleration, and mechanical advantage using core physics equations. Master Newton’s laws of motion, net force equations, tension force, and work-energy formulas for quick problem-solving. These fundamental machinery formulas help you easily determine normal force, spring constants, friction, and kinetic energy in real-world physics problems

Mechanics

F = ma

Newton 2nd Law

Net force = mass × acceleration. N.

v = u + at

SUVAT (1)

Final velocity with constant acceleration. m/s.

s = ut + ½at²

SUVAT (2)

Displacement with initial velocity. m.

KE = ½mv²

Kinetic Energy

Energy of motion. J.

PE = mgh

Potential Energy

Gravitational PE. J.

p = mv

Momentum

Mass × velocity (vector). kg·m/s.

W = Fs cosθ

Work Done

Force × displacement × cosθ. J.

P = W/t

Power

Work per unit time. W.

Wave Motion, Frequency & Wavelength Formulas

Master wave mechanics with essential wave speed equations, frequency formulas, and wavelength calculations. Explore core principles governing transverse waves, longitudinal waves, standing waves, and wave interference. Easily calculate wave frequency from wavelength and understand the fundamental frequency and wavelength relationship for sound, light, and electromagnetic waves.

Waves

v = fλ

Wave Equation

Speed = frequency × wavelength. m/s.

f = 1/T

Frequency

Cycles per second. Hz.

T = 1/f

Period

Time for one cycle. s.

n1 sinθ1 = n2 sinθ2

Snell Law

Law of refraction. Dimensionless.

I = P/A

Wave Intensity

Power per unit area. W/m².

E = hf

Photon Energy

Planck constant × frequency. J.

Electricity, Circuits & Electromagnetism Formulas

Master electrical circuit calculations using Ohm’s law formula ($V = IR$), power physics equations, and resistance principles. Easily calculate magnetic force equations, magnetic field formulas, electrostatic forces, and Coulomb force formulas. Use these essential physics formulas to understand Lenz’s law, magnetic flux, and current flow in both basic and advanced electrical circuits.

Electricity

V = IR

Ohm Law

Voltage = current × resistance. V.

P = IV

Electrical Power

Voltage × current. W.

F = kq1q2/r²

Coulomb Law

Force between two point charges. N.

I = Q/t

Current

Charge flow per unit time. A.

E = F/q

Electric Field

Force per unit charge. N/C.

EMF = NΔΦ/Δt

Faraday Law

Induced EMF from changing flux. V.

Thermodynamics, Heat Capacity & Thermal Physics Formulas

Master heat transfer and thermal energy calculations using the first law of thermodynamics and second law of thermodynamics equations. Easily apply the specific heat capacity formula, heat capacity units, and thermal expansion formulas to calculate heat conduction, convection, and radiation. Use these essential physics formulas to determine the specific heat capacity of water and understand Carnot efficiency in thermal systems.

Thermodynamics

Q = mcΔT

Specific Heat

Heat = mass × c × temp change. J.

PV = nRT

Ideal Gas Law

P (Pa), V (m3), n (mol), T (K). Pa·m3.

ΔU = Q − W

First Law

Internal energy change. J.

ΔS = Q/T

Entropy

Change in disorder. J/K.

η = W/Q_H

Efficiency

Work out / heat in. Fraction.

P1V1 = P2V2

Boyle Law

At constant temperature. Dimensionless.

Modern Physics, Quantum Mechanics & Relativity Formulas

Explore fundamental modern physics principles using mass-energy equivalence ($E = mc^2$), wave-particle duality, and de Broglie wavelength formulas. Easily solve quantum equations, photoelectric effect formulas, and radioactive decay equations (alpha, beta, and gamma decay). Use these essential physics formulas to calculate half-life equations, quantum numbers, and special relativity concepts for advanced problem-solving.

Modern Physics

E = mc²

Mass-Energy

Energy from mass. J.

E = hf

Photon Energy

h = 6.63×10&sup-34; J·s. J.

λ = h/mv

de Broglie

Matter wavelength. m.

KE = hf − φ

Photoelectric

Max kinetic energy of ejected electron. J.

N = N0 e&sup-λt

Radioactive Decay

Nuclei remaining at time t. Count.

t = t0/√(1−v²/c²)

Time Dilation

Relativistic time. s.

Frequently Asked Physics Formula Questions

Quick answers to common questions about essential physics formulas, units, and calculations.

What is the formula for force, mass, and acceleration?
The formula is F = ma (Force = mass × acceleration), derived from Newton's second law of motion. Force is measured in Newtons (N), mass in kilograms (kg), and acceleration in m/s².
How do you calculate kinetic energy using its formula?
Kinetic energy is calculated using KE = ½mv², where m is the mass in kg and v is velocity in m/s. Kinetic energy is always measured in Joules (J) and cannot be negative.
What is the wave speed equation and frequency relationship?
The wave speed equation is v = fλ (wave speed = frequency × wavelength). You can find frequency from wavelength by rearranging the equation to f = v / λ.
What is the specific heat capacity formula for water?
The specific heat capacity formula is Q = mcΔT. Water has a high specific heat capacity of approximately 4,200 J/kg·°C (or 4.184 J/g·°C).
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