Physics problems feel impossible until you know the pattern. Then they're just... problems.
This guide teaches you the universal problem-solving framework that works for mechanics, electricity, thermodynamics, optics—all of it.
Common student experience: "I understand the concepts in lecture. But homework problems look completely different."The gap: Lectures teach concepts. Problems require application.
The solution: A systematic problem-solving process.
Every physics problem, regardless of topic:
Step 1: READ & VISUALIZE Step 2: IDENTIFY knowns/unknowns Step 3: CHOOSE relevant principles Step 4: SOLVE mathematically Step 5: CHECK if answer makes senseLet's break down each step.
Read the problem twice:
Label:
Make a list:
Given:
Ask: What physics concept applies here?
Common principles:
Mechanics:
Apply Newton's 2nd Law:
F_net = ma mg sin(θ) = maDivide both sides by m: a = g sin(θ)Plug in numbers: a = (9.8 m/s²) × sin(30°) a = 9.8 × 0.5 a = 4.9 m/s²## Step 5: CHECK If Answer Makes Sense
Sanity checks:
1. Units correct? ✓ a = 4.9 m/s² (correct units for acceleration)2. Reasonable magnitude? ✓ Less than g (9.8 m/s²) makes sense—object isn't in free fall ✓ Greater than 0 makes sense—object is accelerating down ramp3. Special cases work?
Key equations:
Strategy: 1. Draw free body diagram 2. Break forces into components (x and y) 3. Apply F = ma for each direction 4. Solve system of equationsCommon forces:
When to use energy methods:
Strategy: 1. Simplify circuit (combine series/parallel resistors) 2. Apply Kirchhoff's laws: - Current law: Current in = current out at junction - Voltage law: Sum of voltages around loop = 0 3. Use Ohm's law: V = IRGPAI tip: Circuit problems have lots of algebra. Use GPAI to check your simplification steps.
Strategy: 1. Identify process type (isobaric, isochoric, isothermal, adiabatic) 2. Apply first law: ΔU = Q - W 3. Use ideal gas law: PV = nRTKey relationships:
When you're stuck (will happen):
1. Re-read problem (miss a detail?) Sometimes "frictionless" is buried in the text. Changes everything.2. Check your diagram Is it accurate? Did you mislabel a force direction?3. Verify which principle applies Using kinematics when it's a force problem? Wrong tool.4. Check units throughout Unit mismatch often reveals algebraic errors.5. Use GPAI (5-Minute Rule)
Bad formula sheet:
Problem: Students memorize equations without understanding.
Better: Develop physical intuition.
How:
1. Predict before calculating "I think the answer will be around X because..."2. Extreme case testing "If mass was infinite, what would happen?"3. Dimensional analysis "I need velocity. My equation gives kg⋅m/s? That's momentum, not velocity—error somewhere."4. Practice, practice, practice Do 50 problems → patterns emerge Do 100 problems → physics starts to "click"GPAI accelerates this:
Physics isn't magic. It's systematic.
Every problem: 1. Visualize (draw it) 2. Identify (what do I have/need?) 3. Choose (which principle applies?) 4. Solve (do the math) 5. Check (does this make sense?)When stuck:
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