How to Understand Physics: A Practical Guide for Any Level

You understand physics when you can explain why a law holds, when it applies and what happens when its conditions change. Memorizing formulas won’t get you there. Reading a well-chosen explanation, attempting problems before you check answers, and testing yourself from memory will. This guide gives you the order to learn things in, the habits that work, and a plain approach to quantum physics.

TL;DR

Learn physics in layers: math basics first, then mechanics, then waves, electricity and magnetism, thermodynamics and modern physics.
Treat equations as statements about situations. Ask when each one applies, not just how to plug numbers in.
Try every problem before you look at a solution, then recall the idea from memory a day later.
Quantum physics is best approached as a mathematical theory with odd rules, not as tiny billiard balls or ripples in water.
Match the explanation to your level. If a topic feels disconnected, step back to the missing prerequisite.

What “understanding” physics actually means
Start in the right order
Study habits that build understanding
How to check that you really understand
Understanding quantum physics without the confusion
Perspective
Match the explanation to your level
A four-week starting plan
Where Knowmad fits
Common mistakes that slow people down
FAQ
Sources

What “understanding” physics actually means

Most people who say physics is confusing have run into the same trap: they treated it as a list of formulas to memorize. The open textbook from Physics LibreTexts warns that concepts are distinct from formulas, and that memorizing an equation without knowing the conditions where it applies leads to failure.

OpenStax frames physics as the study of the laws of nature, and says it builds analytical skills that carry beyond the immediate examples. That is a useful way to think about it. You are not collecting facts. You are learning a small set of principles and practicing how to apply them to new situations.

A good working definition of understanding has three parts:

You can state the idea in plain words. “A net force on an object changes its motion, and a heavier object changes less for the same force.”
You know the conditions. Which assumptions are built into the equation? Constant acceleration? No friction? Small angles?
You can use it on something unfamiliar. A problem you haven’t seen, written in a way you haven’t seen.

If you can do all three, you understand it. If you can only do the first, you have a good summary. If you can only do the third by following a template, you have a trick that will break the first time the problem changes.

Start in the right order

Physics is cumulative. Later topics lean on earlier ones, so the order you learn them in matters more than which book you pick.

Build the math you need first

A 2026 step-by-step guide from Simple Physics Lab suggests starting with algebra, trigonometry and vectors before moving on to classical mechanics, waves and optics, electricity and magnetism, thermodynamics, and finally modern physics. Kevin Zhou’s advice for introductory physics adds that you should choose algebra-based or calculus-based physics according to your math preparation, rather than forcing yourself into the wrong one.

You don’t need to finish all of math before you start. You need enough algebra to rearrange an equation, enough trigonometry to break a vector into components, and a willingness to learn the next piece of math when a topic demands it.

Begin with mechanics

Mechanics is the usual entry point. Susan Fowler’s guide to learning physics lists motion, Newton’s laws, work and energy, momentum, rotation, gravitation and periodic motion as its core topics. Open Yale Courses builds its foundations course around Newtonian mechanics, special relativity, gravitation, thermodynamics and waves, with an emphasis on problem solving and quantitative reasoning.

A sensible path for a self-learner looks like this:

Stage	Topics	What you should be able to do
1	Motion in one and two dimensions	Describe a thrown ball with position, velocity and acceleration
2	Newton’s laws, forces	Draw a force diagram and predict the motion
3	Work, energy, momentum	Solve a collision or a roller coaster without tracking every force
4	Rotation, gravitation, oscillations	Explain why planets orbit and why a pendulum swings
5	Waves, thermodynamics	Connect sound, light and heat to the same wave and energy ideas
6	Electricity and magnetism	Explain fields and circuits using the energy and force ideas from earlier
7	Modern physics	Work with relativity and quantum ideas

Pick one resource and stay with it

Zhou recommends choosing one cohesive, vetted resource, whether a textbook, recorded lectures or live lectures, and following it systematically instead of hopping between disconnected materials. Hopping feels productive because everything is new, but each source defines terms and orders topics differently, and you end up with gaps you can’t see.

Study habits that build understanding

University learning centers say remarkably similar things about how to study physics. The common thread is simple: effort that feels slightly hard works better than effort that feels smooth.

Read before the lecture

Joe Burg at Hofstra University recommends reading the material before class and focusing on definitions. That way you can follow the explanation and notice where it differs from your first reading. Those differences are where your misunderstanding was hiding.

Attempt first, look second

The Learning Center at UNC-Chapel Hill notes that research shows attempting a problem before viewing the solution leads to better learning through retrieval practice, even when the first attempt contains mistakes. Tom Weideman at UC Davis goes further: avoid solution keys as much as you can, so you build your own problem-solving muscle.

A practical routine:

Read the problem twice. Write down what is given and what is asked.
Sketch the situation. Label forces, directions or fields.
Name the principle you think applies and why.
Work it symbolically before plugging in numbers.
Only after a real attempt, check the solution. Note exactly where your reasoning diverged.

Look for structure, not tricks

Weideman also advises relating new ideas to ones you already understand, and looking for the common structure across different problems rather than memorizing problem-specific tricks. A block sliding down a ramp, a cart on a track and a skier on a hill are one problem wearing three costumes.

The same page suggests a useful warning sign. If a new topic feels entirely disconnected from what you know, you are probably missing a connection, so go back and bridge the gap before pushing on.

Use evidence-based study methods

Carnegie Mellon’s Student Cognition Toolbox for physics promotes practice quizzing, self-explanation, elaborative interrogation, worked examples, spaced practice and interleaved practice. In plain words:

Practice quizzing: close the book and answer questions.
Self-explanation: say why each step of a solution follows from the last.
Elaborative interrogation: keep asking “why is that true?”
Worked examples: study solved problems to see how experts organize their thinking.
Spaced practice: revisit a topic after a day, then a week, instead of cramming.
Interleaved practice: mix problem types so you must decide which principle applies.

Interleaving is the one most learners skip, and it is the one that most directly trains the skill exams and real life require: recognizing which idea fits.

Treat it as a workout

Stanford’s Center for Teaching and Learning encourages students to see class as a group workout where the goal is building problem-solving skill. That means asking questions and practicing, not completing every task perfectly. Struggling on a problem is not a sign you are bad at physics. It is the training.

How to check that you really understand

The feeling of understanding is unreliable. You read a derivation, nod along, and an hour later can’t reproduce it. Stanford’s guidance is to focus on concepts instead of copying notes word for word, and to test yourself by answering questions without your notes. UNC’s explanation of retrieval practice is that actively recalling information, instead of rereading notes, strengthens memory for the long term.

Try these checks after any topic:

The blank page test. Write down everything you remember about the topic, then compare with the source.
The explain-it-to-a-friend test. Explain it aloud without jargon. Where you stall is where you don’t yet understand.
The change-one-thing test. Take a solved problem and alter one condition: double the mass, add friction, change the angle. Predict the effect before calculating.
The condition test. For each equation you use, list the assumptions behind it.
The limiting-case test. What should happen if a quantity goes to zero or infinity? Does your answer agree?

A short log helps. After each session, write one sentence on what you can now do that you couldn’t before, and one question you still can’t answer. Review the questions weekly.

Understanding quantum physics without the confusion

Quantum physics has a reputation for being impossible. It is strange, but it is not mystical, and it can be approached the same way as anything else: build the vocabulary and the math in steps.

What it says, in simple terms

A 2024 short guide on arXiv explains that the theory often makes probabilistic statements, and that measurements themselves influence the states of particles. So instead of predicting exactly where an electron will be found, quantum mechanics gives probabilities for the possible outcomes, and the act of measuring changes what you know and what the system is doing.

Why analogies mislead

The popular claim that things are “both a particle and a wave” is a shortcut. Caltech’s science explainer says that quantum objects are distinct from classical particles or waves, and that a wave function is a mathematical description, not a wave in a physical medium like water or sound. Because quantum ideas are hard to visualize, the same page says mathematics is essential.

So use analogies as scaffolding and then take them down. When you meet one, ask: what does this analogy get right, and where does it stop working?

The math that opens the door

The “Thinking Quantum” lecture notes, which derive quantum theory from quantum-information principles, draw on complex numbers, linear algebra and probability. If you want to move from popular explanations to real understanding, those three are the prerequisites to learn.

The authors of the University of Washington’s self-study guide note that many beginners find it hard to teach themselves quantum mechanics from traditional textbooks. They offer conversational explanations and detailed worked calculations to fill the gap. They also describe “garden path” problem solving: breaking standard problems into the detailed steps textbooks often skip. That is a good model for how to study any hard topic, because the skipped steps are usually where learners get lost.

A sensible quantum path

Get comfortable with classical mechanics, waves and basic probability.
Learn complex numbers and the basics of vectors and matrices.
Study a simple two-state system, where the math is small and the ideas are all present.
Move on to wave functions and the Schrödinger equation.
Practice with computation. Weber State University’s quantum notes suggest that computational methods are very useful for modern quantum problems and often easier to master than purely analytical ones.

Perspective

We built Knowmad on a simple observation: the hardest part of physics is rarely the physics. It is the mismatch between the explanation and the person reading it. A page written for a graduate student loses a curious beginner in the second paragraph, and a page written for a beginner bores someone who already knows the basics.

That is why we think personalized learning fits physics so well. Physics is cumulative, so the right explanation depends on exactly what you already know. Our platform is designed to adapt written and audio explanations to your interests, your current knowledge and the explanation style you prefer, and to keep improving as you give feedback and use it.

In practice, that means you can ask for an idea in everyday terms first, then ask for the same idea at an academic level once it clicks. You can turn a page into a podcast episode and listen on a commute, then return to the written version to work through the details. The study habits above still apply: attempt problems yourself, recall from memory, check your understanding. We think a tailored explanation makes each of those steps easier to start.

Sam

Match the explanation to your level

One reason physics feels hard is that explanations come at a fixed level. Here is how to deliberately choose the level you need at each stage.

Where you are	What helps most	What to avoid
First contact with a topic	Everyday examples and a plain-language overview	Jumping straight to derivations
You know the idea but can’t solve problems	Worked examples and step-by-step breakdowns	Reading solutions without attempting first
You can solve standard problems	Mixed problem sets and conditions-of-validity questions	Repeating the same problem type
You want depth	Academic texts, original lecture notes, math-heavy treatments	Popular summaries that smooth over the math

Susan Rigetti’s study guide points out that everyone learns differently, and that it is worth identifying whether you learn best by reading, taking notes or discussing. Use that. If you retain more by listening, put lectures or audio explanations into your commute. If you need to see symbols, write things out. Then use the testing methods above regardless of your preferred format, because they work for everyone.

A four-week starting plan

This plan assumes about five hours a week and a beginner’s level of algebra.

Week 1: Motion. Review algebra and vectors. Learn position, velocity and acceleration. Do ten problems, each attempted before looking at solutions. At the end, write a one-page summary from memory.

Week 2: Forces. Learn Newton’s three laws and practice free-body diagrams. Do problems with ramps, pulleys and friction. Take one solved problem and change a condition, then predict the result.

Week 3: Energy and momentum. Learn work, kinetic and potential energy, and conservation of momentum. Mix problems from weeks 1 to 3 so you must pick the right principle. Revisit week 1 notes with a short quiz.

Week 4: Consolidate. Retest everything from a blank page. List every equation you’ve used with its assumptions. Identify the weakest topic and return to its prerequisite. Then choose your next block: rotation and gravitation, waves, or an introduction to quantum ideas.

Four-week physics study plan from motion to review

Where Knowmad fits

If you want explanations pitched at your level, Knowmad generates a personalized wiki-style page on a physics topic from your interests and knowledge level, and can turn any page into a podcast episode.

You can start with the idea you’re stuck on, ask for a simple everyday explanation, then ask for a more advanced version when you’re ready. Try it at Knowmad’s personalized wiki and podcast generator.

Tryknowmad

Use it alongside the habits in this guide: read the explanation, close it, and write down what you remember.

Common mistakes that slow people down

Skipping prerequisites. Alastair Williams advises studying resources in a specific order because later material relies on earlier foundations, and jumping ahead makes things needlessly hard.
Memorizing equation forms. Instead, understand the relationships. Simple Physics Lab’s example is how acceleration depends on net force and mass.
Rereading instead of recalling. Rereading feels like learning. Recall is the learning.
Looking up solutions too early. Give a problem a real attempt first, even if you are likely to be wrong.
Treating analogies as the truth. Use them to get started, then check what the math says.
Studying only in one format. Mix reading, listening, writing and speaking about a topic to find the gaps.

FAQ

How do I start understanding physics if I’m bad at math?

Start with the math you need for mechanics: algebra, basic trigonometry and vectors. Choose algebra-based physics if you haven’t studied calculus. Learn extra math when a topic demands it, and keep problems at a level where you can solve most of them with effort.

Can I understand quantum physics without advanced math?

You can get a conceptual picture: probabilities, measurement and the idea that wave functions are mathematical descriptions. Real understanding needs complex numbers, linear algebra and probability. Caltech’s explainer states that mathematics is essential because quantum concepts are hard to visualize.

How long does it take to understand physics?

It depends on your starting math, your goal and the time you can give it. A first pass through introductory mechanics can take weeks of steady practice. Understanding deepens each time you revisit a topic with harder problems.

Should I memorize formulas for physics?

Memorize a small core you use constantly, but learn each one with its meaning and its conditions. If you can derive or explain a formula, you won’t need to rely on remembering it. If you only recall its shape, it will fail when the problem changes.

What should I do when a physics topic feels disconnected from everything else?

Treat it as a signal. Weideman’s guidance is that a topic that feels unrelated to prior knowledge means a missing connection. Go back to the prerequisite idea, practice it, and return to the new topic.