Physics Fundamentals – Free Physics Education, Formulas & Explained Concepts (2026)
Now building — join the early access list

Learn Physics Fundamentals Learn Physics the Right Way from Basics

Stop memorising formulas you don’t understand. From Newton’s Laws and conservation of energy to wave mechanics and quantum theory — we build real understanding, step by step. Free forever.

Join 600+ students already on the early access list

F = ma
E = mc²
v = fλ
ΔKE + ΔPE = 0
p = mv
F = Gm₁m₂/r²

Core Concepts

The Laws That Govern Everything Around You in Physics Fundamentals

These aren’t abstract ideas — they are precise, testable descriptions of how the physical world behaves. Every engineer, physicist, and scientist builds on them daily.

Why Physics Fundamentals

Physics Education in Physics Fundamentals That Actually Builds Understanding

Most physics resources give you formulas. We build the intuition that makes those formulas obvious. That’s the difference.

Full Curriculum, Every Branch

Classical mechanics, thermodynamics, electromagnetism, wave physics, and quantum mechanics — all taught with the same rigour and clarity by working physicists.

🔬

Interactive Simulations

Adjust variables and watch physics happen in real time. No textbook can show you how increasing mass affects orbital radius — our simulations can.

✏️

1,000+ Practice Problems

Every problem comes with a full step-by-step solution that explains not just what to do, but why each step is taken.

🎯

Intuition Before Equations

We never open with a formula. Every topic starts with the physical picture — what’s actually happening — so the maths that follows feels natural.

📐

Visual, Diagram-First Learning

Vector fields, interference patterns, orbital mechanics, Feynman diagrams — we illustrate the things words can’t fully describe.

🌍

Completely Free, Forever

Physics Fundamentals charges nothing for any lesson, simulation, or problem set. Good physics education belongs to everyone, not just those who can pay for it.

What’s Coming

Physics Fundamentals: Everything You Need to Truly Master Physics

We’re building this in public. Every week brings new content, new simulations, and improvements shaped by real students.

Join the waitlist — it’s free →
  • In-depth lessons on every core topic
  • Interactive simulations & virtual labs
  • 1,000+ problems with full solutions
  • Video walkthroughs & demonstrations
  • Quick-reference formula sheets
  • Study paths by course and exam
  • Community Q&A forums
  • 100% free — no paywalls, ever

Early Access

Be among the first to use Physics Fundamentals

Sign up and get exclusive early access, weekly physics breakdowns, and a direct say in what we build next. No spam, unsubscribe anytime.

600+ students already on the list. No spam, ever.

FAQ

Common Questions Students Ask About Physics

Physics fundamentals are the core laws — mechanics, thermodynamics, electromagnetism, wave physics, and quantum theory — that describe how the physical world behaves at every scale. They matter because almost every field of science and engineering is built on them. A civil engineer calculating load distribution uses Newton’s laws. A doctor understanding MRI scans relies on quantum physics. An audio engineer tuning a speaker applies wave mechanics. Mastering physics fundamentals is one of the highest-return intellectual investments a student can make.
Yes — completely, permanently free. We don’t have a free tier with a paid upgrade. Every lesson, simulation, problem set, formula sheet, and study guide on Physics Fundamentals is available to every visitor at no cost. We believe the quality of your physics education shouldn’t depend on how much money you have.
Every article is researched and written by physicists with postgraduate degrees in their subject area. Dr. James Carter covers classical mechanics, Dr. Elena Vasquez handles waves and optics, Dr. Sarah Kim focuses on thermodynamics, and Dr. Marcus Webb writes modern physics content. All articles go through editorial review for scientific accuracy and pedagogical clarity before publication.
Start with classical mechanics — specifically Newton’s three laws and kinematics. These form the logical foundation that almost everything else builds on. Once you’re comfortable with force, acceleration, and energy, thermodynamics becomes much more intuitive. Waves and optics can then be studied in parallel with electromagnetism. The key habit throughout is to understand the physical concept before engaging with the mathematics — if the equation feels arbitrary, you haven’t understood the physics yet.
Khan Academy covers a wide range of subjects at an introductory level; we focus exclusively on physics and go significantly deeper. Wikipedia is excellent for definitions and reference but isn’t designed for sequential learning. Physics Fundamentals combines the depth of a university textbook with the clarity and pacing of a great teacher — plus interactive simulations, worked practice problems, and a narrative structure that builds understanding progressively rather than presenting isolated facts.
For introductory and intermediate topics — which form the bulk of our current content — you need GCSE/high school level algebra and basic trigonometry. We introduce the maths gradually and always explain the physical meaning before and after any equation. For more advanced topics like quantum mechanics, calculus becomes necessary, and we introduce it in context when we get there.

What Are Physics Fundamentals? A Clear Starting Point

Physics is the science of matter, energy, space, and time — and how they interact with each other. That sounds broad, and it is. But the remarkable thing about physics is that a surprisingly small number of fundamental laws describe an enormous range of phenomena: from the orbit of a satellite to the glow of a star, from the behaviour of a spring to the structure of an atom.

Physics fundamentals are these core laws and principles. When a student says “I need to understand physics”, what they really mean is: I need to understand a handful of deep ideas well enough to apply them in unfamiliar situations. Memorising formulas is not physics. Understanding why those formulas are true — and when they break down — is.

There are five major branches where the fundamentals live:

  • Classical Mechanics — the physics of everyday forces, motion, and energy
  • Thermodynamics — heat, temperature, entropy, and the laws governing energy transformation
  • Waves and Optics — how energy propagates through media and through vacuum
  • Electromagnetism — electric and magnetic fields, circuits, and electromagnetic radiation
  • Modern Physics — special relativity and quantum mechanics, which replace classical physics at very high speeds or very small scales
Key Point

These branches aren’t independent silos — they connect deeply. Electromagnetism predicts that light is an electromagnetic wave, which wave physics then describes in detail. Thermodynamics connects to quantum mechanics through statistical mechanics. Learning one branch makes the others easier.

Classical Mechanics: Forces, Motion, and Energy

Classical mechanics is the branch of physics that describes how objects move in response to forces. It is the oldest and, in many ways, the most intuitive branch. Newton published its foundations in 1687, and those foundations remain exact for anything larger than an atom moving slower than a few percent of the speed of light — which covers virtually everything in everyday life.

Newton’s Three Laws of Motion

Newton’s three laws are the backbone of classical mechanics. They are short, precise statements, but unpacking them fully takes considerable work:

  • First Law (Inertia): An object remains at rest, or in uniform motion in a straight line, unless acted upon by a net external force. This means force is not needed to maintain motion — only to change it. This directly contradicts the everyday intuition that things “need a push” to keep moving (which comes from friction, not physics).
  • Second Law (F = ma): The net force on an object equals the product of its mass and acceleration. Force, mass, and acceleration are the three quantities that connect every mechanics problem. More mass means more force required for the same acceleration; more force means more acceleration for the same mass.
  • Third Law (Action–Reaction): For every force exerted by object A on object B, there is an equal and opposite force exerted by B on A. These force pairs act on different objects, which is why they don’t cancel out — a common source of confusion.
F = ma    [where F is net force in Newtons, m is mass in kg, a is acceleration in m/s²]

Kinematics: Describing Motion Without Forces

Kinematics is the language of motion — displacement, velocity, and acceleration — before you introduce forces. The four SUVAT equations describe motion under constant acceleration completely:

v = u + at
s = ut + ½at²
v² = u² + 2as
s = ½(u + v)t

Where s is displacement, u is initial velocity, v is final velocity, a is acceleration, and t is time. These four equations, combined with Newton’s second law, solve the vast majority of introductory mechanics problems.

Energy and Work in Classical Mechanics

The concept of energy unifies mechanics in a way that forces alone cannot. Work done by a force equals force times displacement in the direction of the force (W = Fd). This work goes into changing an object’s kinetic energy (KE = ½mv²) or potential energy (gravitational PE = mgh, elastic PE = ½kx²).

The Work-Energy Theorem states that the net work done on an object equals its change in kinetic energy. This is one of the most useful shortcuts in mechanics — it often lets you find velocities without ever calculating intermediate forces.

Conservation of Momentum

Momentum (p = mv) is conserved whenever the net external force on a system is zero. This applies to every collision and explosion. In a perfectly elastic collision, both momentum and kinetic energy are conserved. In an inelastic collision, only momentum is conserved — kinetic energy converts to heat, sound, or deformation.

Common Mistake

Students often confuse “inelastic” with “the objects stick together”. Sticking together is a perfectly inelastic collision — the most extreme case. Any collision where kinetic energy is lost is inelastic, which includes almost every real-world collision.

Thermodynamics: Heat, Work, and the Arrow of Time

Thermodynamics is the branch of physics that governs how energy transforms between heat and work. Its four laws, developed in the 19th century, have never been violated by any experiment, making them among the most reliable statements in all of science.

The Four Laws of Thermodynamics

LawStatementWhat It Means in Practice
Zeroth LawIf A is in thermal equilibrium with C, and B is with C, then A is in equilibrium with B.Temperature is a consistent, transitive property — it makes thermometers possible.
First LawEnergy cannot be created or destroyed; ΔU = Q − WYou can never get more energy out of a system than you put in.
Second LawThe total entropy of an isolated system never decreases.Heat flows from hot to cold. No process is perfectly efficient. Time has a direction.
Third LawThe entropy of a perfect crystal approaches zero as temperature approaches absolute zero.Absolute zero (0 K) cannot be reached in a finite number of steps.

What Is Temperature, Really?

Temperature is a macroscopic measure of the average kinetic energy of the microscopic particles in a substance. This is what the kinetic theory of gases makes precise: in a gas, the particles are moving constantly in random directions, and the average of ½mv² for all those particles is directly proportional to the temperature in Kelvin.

This is a beautiful piece of physics. An abstract number you read on a thermometer turns out to be a measure of how frantically tiny particles are vibrating, bouncing, and rotating — something the thermometer itself can’t see.

Waves and Optics: How Energy Travels Through Space

A wave is a disturbance that transfers energy from one place to another without permanently displacing the medium. This definition covers sound waves (pressure disturbances in air), water waves (displacement of water surface), seismic waves (vibrations in Earth’s crust), and electromagnetic waves (oscillating electric and magnetic fields that require no medium at all).

Transverse vs. Longitudinal Waves

In a transverse wave, the oscillation is perpendicular to the direction of wave travel. Light, radio waves, and seismic S-waves are transverse. In a longitudinal wave, the oscillation is parallel to the direction of travel — sound is the most important example. Both types obey the universal wave equation.

v = fλ    [wave speed = frequency × wavelength]

This equation tells you that for a wave travelling at fixed speed, if you increase its frequency, its wavelength must decrease proportionally — they are inversely related at constant speed. This is why high-pitched sounds (high frequency) have shorter wavelengths, and why visible light (very high frequency) has wavelengths of just 400–700 nanometres.

The Doppler Effect

When a wave source moves relative to an observer, the observed frequency shifts. A source moving towards you compresses the waves in front of it, increasing the frequency you hear (higher pitch). Moving away stretches the waves, lowering the frequency. This Doppler Effect applies to all waves — light included. Astronomers use it to measure how fast distant galaxies are moving away from us, which is how we know the universe is expanding.

Electromagnetism: The Force That Shapes Chemistry and Technology

Electromagnetism governs the interaction between electric charges and magnetic fields. It is arguably the most practically important branch of physics: every electrical device, every communication system, every medical scanner, and every chemical bond involves electromagnetic forces.

James Clerk Maxwell unified electricity, magnetism, and optics in four equations in 1865 — an achievement often cited as the greatest theoretical advance in physics before quantum mechanics. Maxwell’s equations predict that accelerating charges produce electromagnetic waves that travel at the speed of light. From this, Maxwell correctly concluded that light is an electromagnetic wave — a prediction confirmed by Hertz’s radio wave experiments in 1887.

Key Concepts in Electromagnetism

  • Coulomb’s Law: The electrostatic force between two point charges is proportional to their magnitudes and inversely proportional to the square of their separation — the same inverse-square form as gravity.
  • Electric fields: A region where a charge experiences a force. Field lines show direction; their density shows magnitude.
  • Magnetic fields: Produced by moving charges (current). A moving charge in a magnetic field experiences a force perpendicular to both its velocity and the field.
  • Electromagnetic induction (Faraday’s Law): A changing magnetic flux through a loop induces an EMF in that loop. This is the principle behind every electric generator ever built.

Modern Physics: When Classical Breaks Down

Classical physics is astonishingly accurate for objects of everyday size and speed. But in two regimes it fails completely: when objects move close to the speed of light, and when objects are as small as atoms or smaller. These regimes are the domain of modern physics.

Special Relativity

Einstein’s 1905 special theory of relativity starts from two postulates: the laws of physics are the same in all inertial frames, and the speed of light in a vacuum is the same for all observers regardless of the motion of the source. The consequences are extraordinary: time dilates at high speeds, lengths contract, and mass and energy are equivalent (E = mc²). These are not theoretical curiosities — GPS satellites require relativistic corrections to give accurate positions.

Quantum Mechanics

Quantum mechanics describes the behaviour of matter at atomic and subatomic scales. Its central feature is that quantities which appear continuous in everyday life — energy, angular momentum — are in fact quantised at small scales. An electron in an atom can only exist at specific energy levels; it cannot take any energy in between. When it drops from a higher level to a lower one, it emits a photon with exactly the right energy to account for the difference. This is why atomic spectra show sharp lines rather than a continuous spread of colours.

Quantum mechanics also introduces probability as a fundamental feature of nature, not just a reflection of ignorance. The Heisenberg uncertainty principle establishes that certain pairs of physical properties — position and momentum, energy and time — cannot both be known to arbitrary precision simultaneously. This is not a limitation of measurement technology; it is a feature of reality itself.

How to Study Physics Fundamentals Effectively in 2026

Physics has a reputation as a difficult subject. Some of that reputation is deserved — it demands both conceptual clarity and mathematical fluency. But much of the difficulty comes from studying it the wrong way. Here are the habits that consistently produce excellent results.

Build Intuition Before Touching Equations

Before you write down F = ma, you should be able to answer: what does force feel like? What does it mean for something to accelerate? If someone pushes a heavy box and a light box with the same force, which accelerates more — and by how much? If you can answer those questions with confidence, the equation F = ma will feel like an obvious summary of something you already understand, not a magic formula to memorise.

Solve Problems Without Looking at Solutions

Reading a worked solution and understanding it is not the same as being able to solve problems. The only way to develop real problem-solving ability is to struggle with problems before seeing the answer. Spend at least 15 minutes genuinely attempting each problem before looking for help. The struggle itself is the learning.

Connect Concepts Across Topics

Physics is deeply interconnected. Energy conservation appears in mechanics, thermodynamics, electromagnetism, and quantum physics. Inverse-square laws appear in gravity, electrostatics, and sound intensity. Looking for these connections actively accelerates understanding of every branch you study.

Use Dimensional Analysis as a Check

Every physical equation must be dimensionally consistent — both sides must have the same units. Getting into the habit of checking dimensions reveals errors immediately and often suggests the correct form of an equation even before you’ve derived it.

The 7 Most Common Mistakes Students Make in Physics

  1. Confusing velocity and speed. Speed is scalar (magnitude only); velocity is a vector (magnitude and direction). An object moving in a circle at constant speed has changing velocity because its direction is changing — and therefore has acceleration.
  2. Treating F = ma as if it uses total mass, not the mass of the object being accelerated. In a system like Atwood’s machine, you apply Newton’s second law to each object separately, not to the combined system with a single equation.
  3. Forgetting that Newton’s third law pairs act on different objects. The Earth pulls you down; you pull the Earth up with equal force. These don’t cancel because they act on different things.
  4. Confusing heat and temperature. Heat is energy in transit; temperature is a measure of internal energy. You can add heat to a substance at constant temperature (during a phase change) and add heat to two systems and produce different temperature changes depending on their heat capacities.
  5. Assuming “inelastic” means objects stick together. Any collision where kinetic energy is lost is inelastic. Sticking together is a special case — perfectly inelastic — and the most extreme version.
  6. Thinking wave speed changes when frequency changes. In a given medium, wave speed is fixed. If you increase the frequency of a sound wave, its wavelength decreases proportionally — the speed stays the same.
  7. Applying classical physics where quantum or relativistic physics is needed. For electrons in atoms, atoms in molecules, or any particle moving at more than ~10% the speed of light, classical mechanics gives wrong answers. Knowing where the limits of each theory lie is itself part of understanding physics.

Best Free Physics Resources in 2026

The best physics education is not necessarily behind a paywall. In 2026, there are several excellent free resources that complement Physics Fundamentals for different learning styles and levels:

ResourceBest ForLevel
Physics Fundamentals (this site)In-depth concept guides, worked problems, simulationsBeginner–Intermediate
HyperPhysics (Georgia State)Quick concept reference, interconnected concept mapsAll levels
MIT OpenCourseWareFull university lecture notes and problem setsIntermediate–Advanced
The Feynman Lectures (Caltech)Deep conceptual understanding, beautifully writtenIntermediate–Advanced
PhET Interactive Simulations (CU Boulder)Visual, interactive simulations of physics phenomenaBeginner–Intermediate
3Blue1Brown (YouTube)Visual and intuitive explanations, especially for mathsBeginner–Intermediate

No single resource is perfect for every learner. The best approach is to use Physics Fundamentals as your primary learning path and draw on others when a different angle on a concept would help.

The Honest Truth About Learning Physics

Physics takes time. There is no shortcut that replaces working through problems, making mistakes, identifying why you made them, and correcting your understanding. But the rewards compound rapidly. Once Newton’s laws are truly internalised, thermodynamics becomes more intuitive. Once energy conservation is a reflex, quantum mechanics becomes much less intimidating. Once the pattern of inverse-square laws is familiar, it recurs everywhere — gravity, electrostatics, sound intensity, light intensity.

The students who succeed at physics are not always the mathematically fastest. They are the ones who refuse to move on until they actually understand — who ask “but why is that true?” rather than accepting a formula at face value. That habit of mind is exactly what Physics Fundamentals is designed to build.

Start with any of the core concepts above. Work through the examples. Attempt the practice problems. Come back when something doesn’t make sense. Physics rewards persistence more than raw talent — and that is actually very good news.

Newsletter

Get one physics insight every week

A short, clear explanation of one physics concept delivered every Thursday. No fluff, no spam.

Join 600+ readers. Unsubscribe any time.