Physics Formula Sheet

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Essential Equations & Constants

Essential physics equations and constants for students and professionals

🔢Important Physics Constants

Speed of Light
c
3.00 × 10⁸ m/s
Gravitational Constant
G
6.67 × 10⁻¹¹ N⋅m²/kg²
Planck's Constant
h
6.63 × 10⁻³⁴ J⋅s
Elementary Charge
e
1.60 × 10⁻¹⁹ C
Electron Mass
mₑ
9.11 × 10⁻³¹ kg
Proton Mass
mₚ
1.67 × 10⁻²⁷ kg
Avogadro's Number
Nₐ
6.02 × 10²³ mol⁻¹
Boltzmann Constant
k
1.38 × 10⁻²³ J/K

Mechanics

Velocity

v = d/t

Distance divided by time

Acceleration

a = Δv/Δt

Change in velocity over time

Force

F = ma

Newton's second law

Kinetic Energy

KE = ½mv²

Energy of motion

Potential Energy

PE = mgh

Gravitational potential energy

Work

W = Fd cos θ

Force times displacement

Power

P = W/t

Work done per unit time

Momentum

p = mv

Mass times velocity

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Waves & Oscillations

Wave Speed

v = fλ

Frequency times wavelength

Period

T = 1/f

Inverse of frequency

Simple Harmonic Motion

x = A cos(ωt + φ)

Position in SHM

Angular Frequency

ω = 2πf

Radians per second

Spring Force

F = -kx

Hooke's law

Pendulum Period

T = 2π√(L/g)

Simple pendulum period

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Thermodynamics

Heat Transfer

Q = mcΔT

Heat equals mass times specific heat times temperature change

Ideal Gas Law

PV = nRT

Pressure, volume, moles, and temperature relationship

First Law

ΔU = Q - W

Change in internal energy

Efficiency

η = W/Q_h

Work output over heat input

Carnot Efficiency

η = 1 - T_c/T_h

Maximum theoretical efficiency

Electricity & Magnetism

Ohm's Law

V = IR

Voltage equals current times resistance

Electric Power

P = VI = I²R = V²/R

Power in electrical circuits

Coulomb's Law

F = kq₁q₂/r²

Force between charges

Electric Field

E = F/q = kQ/r²

Force per unit charge

Capacitance

C = Q/V

Charge storage ability

Magnetic Force

F = qvB sin θ

Force on moving charge in magnetic field

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Modern Physics

Energy-Mass

E = mc²

Einstein's mass-energy equivalence

Photon Energy

E = hf = hc/λ

Energy of electromagnetic radiation

de Broglie Wavelength

λ = h/p

Matter wave wavelength

Uncertainty Principle

Δx Δp ≥ ℏ/2

Heisenberg uncertainty principle

Time Dilation

t = t₀/√(1 - v²/c²)

Time dilation in special relativity

Quick Reference Guide

Common Prefixes

Giga (G)10⁹
Mega (M)10⁶
Kilo (k)10³
Milli (m)10⁻³
Micro (μ)10⁻⁶
Nano (n)10⁻⁹

Unit Conversions

1 kg2.20 lbs
1 m3.28 ft
1 J0.239 cal
1 eV1.60 × 10⁻¹⁹ J
°C to KK = °C + 273.15
g = 9.8 m/s²Earth gravity

About Physics Formulas

Physics formulas are mathematical expressions that describe the relationships between different physical quantities. These equations form the foundation of our understanding of the natural world, from the motion of objects to the behavior of light and matter at the quantum level.

This comprehensive formula sheet covers the essential equations from classical mechanics, thermodynamics, electricity and magnetism, waves, and modern physics. Each formula is presented with clear variable definitions and practical applications to help students and professionals apply them effectively.

Whether you're solving homework problems, preparing for exams, or working on research projects, having quick access to these fundamental physics equations will enhance your problem-solving efficiency and deepen your understanding of physical principles.

How to Use This Formula Sheet

1

Identify the Physics Topic

Determine which area of physics your problem involves: mechanics, thermodynamics, electricity, etc.

2

Find the Relevant Formula

Browse the appropriate section to locate the formula that relates the quantities in your problem.

3

Check Units and Constants

Ensure your values are in the correct units and use the provided constants for accurate calculations.

4

Apply and Verify

Substitute your values into the formula and check that your answer makes physical sense.

Physics Formula Study Tips

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Understand, Don't Just Memorize

Focus on understanding what each variable represents and how formulas are derived.

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Practice Unit Analysis

Always check that your units work out correctly - it's a great way to catch errors.

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Connect Related Formulas

Understand how different equations relate to each other and can be combined.

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Practice Problem Solving

Apply formulas to various problems to build intuition and confidence.

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Use Visual Aids

Draw diagrams and graphs to visualize what the formulas represent physically.

Verify Your Answers

Always check if your numerical result makes sense in the physical context.

Frequently Asked Questions

Get answers to common questions about physics formula sheet