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How to study physics (concepts first, equations second)

Physics punishes the student who memorises equations without understanding what they mean. This guide shows you how to study physics by building intuition first, then attaching the maths — using free-body diagrams, dimensional analysis, closed-book problem practice and a structured error log. The result: you'll know which equation to reach for, and why.

Why physics feels harder than it should

Most students treat physics as a memory subject: collect a list of equations, match each one to a question type, and hope the exam plays fair. It rarely does. Good physics exams deliberately wrap a familiar principle in an unfamiliar situation, so the formula-matcher who never understood why F = ma works is left with no idea which equation to even pick.

Physics is fundamentally about a small number of deep principles — conservation of energy and momentum, Newton’s laws, the field concept — applied flexibly. Study it as a list of formulas and every new problem looks alien. Study it as a handful of principles and most problems become variations on a theme you already understand.

The core principle. In physics, understand the concept before you touch the equation. The maths is the last step, not the first.

The core method: concept, diagram, equation, check

For every problem, train yourself to follow the same four-stage routine:

  1. Concept. What physics is happening here? Name the principle in plain words before writing anything: “this is conservation of momentum”, “this is an object in equilibrium”.
  2. Diagram. Draw the situation. Mark every force, velocity, axis, and known and unknown quantity. For mechanics this means a proper free-body diagram.
  3. Equation. Now choose the equation that expresses that principle, and only now substitute numbers.
  4. Check. Run dimensional analysis — do the units work out? Is the magnitude sensible? Would the direction make physical sense?

Most wrong answers come from skipping straight to step three. Forcing yourself through concept and diagram first is the biggest single upgrade you can make to your physics.

Build intuition, then attach the maths

To genuinely understand a topic, use the Feynman technique: explain it out loud as if teaching a friend. Why does a heavier object not fall faster in a vacuum? Why does a satellite stay in orbit? If your explanation stalls or drifts into hand-waving, you’ve found a gap that no amount of equation-memorising would have revealed.

Connect equations to the physical world. v = u + at isn’t a string of symbols — it says velocity grows steadily when acceleration is constant. Once you can narrate what an equation does, you stop misapplying it.

A concrete weekly routine

Technique by technique

TechniqueWhat it means in physicsWhen to use it
Concept-first routineName the principle before the equationEvery single problem
Free-body diagramsDraw and label all forces and axesMechanics, equilibrium, dynamics
Dimensional analysisCheck units balance on both sidesAfter every derivation, before numbers
Closed-book problem redoRe-solve a worked example unaidedEach new topic
InterleavingMix topics in one sessionAfter learning several topics
Feynman techniqueExplain a concept aloud, plainlyWhen you suspect shallow understanding
Past papersTimed full papers, self-marked3–4 weeks before the exam

Common mistakes — and how to fix them

MistakeWhy it hurtsThe fix
Grabbing an equation firstYou apply the wrong principleName the concept and draw it first
Skipping the diagramSetup errors and missed forcesAlways draw a labelled diagram
Ignoring unitsPlausible-looking but wrong answersRun dimensional analysis every time
Memorising without understandingFails on novel scenariosUse Feynman to test real understanding
Plugging numbers in too earlyAlgebra slips, no sanity checkSolve symbolically, substitute last
Re-reading instead of solvingRecognition, not problem-solving skillRedo problems closed-book

How to revise before the exam

Three to four weeks out, switch to full past papers under timed, exam-like conditions — proper time limit, formula sheet only if the exam allows one, no phone. Mark your own work against the scheme, and notice how marks are awarded: often for the diagram, the correct principle and the method, even when the final number is wrong. That tells you to always show your reasoning.

Then sort every lost mark into a category in your error log:

After a few papers a pattern emerges. If most of your losses are algebra, your physics is fine and you need cleaner working; if they’re conceptual, go back and re-understand the principle. Target the biggest category first.

A starter checklist

Physics rewards the student who thinks before calculating. Get the concept and the diagram right, and the equation almost picks itself. Build that routine until it’s automatic, and unfamiliar exam questions stop being frightening — they’re just your four-step method applied to a new picture.

If you’d like a tool that spaces your physics practice and tracks which error type is costing you marks, you can try Skoolskill for free.

Questions teachers and parents actually ask.

Should I memorise physics formulas or understand them?

Understand them first, then memorise the core ones for speed. A formula you understand can be rebuilt if you forget it and applied to unfamiliar situations; a memorised formula you don't understand only works on questions identical to ones you've seen. Most physics exams deliberately test novel scenarios.

Why can I follow the lecture but not solve the homework?

Because watching a problem being solved hides the hardest part: deciding which principle applies and setting it up. The fix is to solve problems yourself from a blank page, starting by drawing the situation and naming the physics before touching any equation.

How important are free-body diagrams and sketches?

They are essential, not optional. A clear diagram with every force, axis and known quantity labelled turns an abstract word problem into a concrete one and prevents most setup errors. Examiners often award marks for the diagram alone.

What is dimensional analysis and why does it help?

It's checking that the units on both sides of an equation match. If you derive a speed and your units come out as kilograms, you know you've made a mistake before you ever plug in numbers. It's a fast, free error-catcher you should run on every answer.

How do I revise physics for an exam?

Work full past papers under timed conditions, mark them against the scheme, and log every error by type — conceptual, setup, algebra or units. Then target your next session at your most common error category rather than re-reading the textbook.

How do I stop running out of time in physics exams?

Practise under a timer well before the exam, and learn to set up a problem fast: diagram, knowns, the governing principle, then the algebra. Most lost time comes from staring at a blank question because the setup routine isn't automatic yet.

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