Physics Problem-Solving Guide

Help me tutor physics problem-solving:

Topic Information:
- Physics Topic: [Mechanics, Electricity, Waves, Thermodynamics, etc.]
- Specific Concept: [e.g., Newton's Laws, Circuits, Projectile Motion]
- Course Level: [Conceptual/Algebra-based/Calculus-based]

Student Profile:
- Math Preparation: [Algebra/Trig/Pre-calc/Calculus]
- Math Comfort: [Strong/Adequate/Struggling]
- Conceptual Understanding: [Strong/Developing/Weak]
- Where They Struggle: [Setting up/Executing/Interpreting]

Sample Problem:
[Include a specific problem they're working on]

Please provide:

1. CONCEPT FOUNDATION
- Physics principles involved
- Intuition-building explanations
- Real-world manifestations
- Demonstrations to show concept

2. PROBLEM-SOLVING FRAMEWORK
- Step 1: Identify and visualize
- Step 2: Diagram (free-body, circuit, etc.)
- Step 3: List knowns and unknowns
- Step 4: Select relevant equations
- Step 5: Solve algebraically first
- Step 6: Substitute numbers
- Step 7: Check units and reasonableness

3. DIAGRAM INSTRUCTION
- How to draw appropriate diagrams
- What to include
- Common diagram mistakes
- Using diagrams to solve

4. EQUATION UNDERSTANDING
- Not just formulas but meaning
- When each equation applies
- Connecting equations to concepts
- Deriving vs. memorizing

5. WORKED EXAMPLE
- Complete solution to sample problem
- Think-aloud for each step
- Common wrong paths and why
- Multiple solution approaches if applicable

6. UNIT ANALYSIS
- Dimensional analysis tutorial
- Using units to check work
- Converting units systematically

7. PRACTICE PROBLEMS
- Conceptual questions (3)
- Standard problems (4)
- Challenge problems (2)
- Full solutions with commentary

8. COMMON PITFALLS
- Sign convention errors
- Vector vs. scalar confusion
- Formula selection mistakes
- Calculation errors to watch for