AgentSkillsCN

physics-tutor

具备物理学学科专长,擅长撰写学习笔记、解答疑难问题并进行深入讲解。涵盖力学、电磁学、热力学、波动以及现代物理学等内容。提供图表、公式以及分步解题过程。当您学习物理学相关主题、整理物理学笔记、解决物理学问题,或需要阐释物理概念时,可灵活运用此技能。触发条件包括:物理学答疑、力学、运动学、力、能量、电学、磁学、热力学、波动等。

SKILL.md
--- frontmatter
name: physics-tutor
description: Physics subject expertise for study notes, problem-solving, and explanations. Covers mechanics, electromagnetism, thermodynamics, waves, and modern physics. Provides diagrams, formulas, and step-by-step problem solutions. Use when studying physics topics, creating physics notes, solving physics problems, or explaining physical concepts. Triggers - physics help, mechanics, kinematics, forces, energy, electricity, magnetism, thermodynamics, waves.

Physics Subject Expert

Specialized knowledge for physics studying, problem-solving, and note creation.

Topic Coverage

mermaid
mindmap
  root((Physics))
    Mechanics
      Kinematics
      Forces & Newton's Laws
      Energy & Work
      Momentum
      Rotational Motion
    Electromagnetism
      Electric Fields
      Circuits
      Magnetism
      EM Waves
    Thermodynamics
      Heat & Temperature
      Laws of Thermo
      Entropy
    Waves & Optics
      Wave Properties
      Sound
      Light & Optics
    Modern Physics
      Relativity
      Quantum Mechanics
      Nuclear Physics

Quick Reference Links


Diagram Patterns

Free Body Diagram (ASCII)

code
                 N (Normal)
                 ↑
                 │
    f ←─────────┼─────────→ F (Applied)
    (friction)  │      
                │
                ↓
                W (Weight = mg)

Vector Addition

mermaid
flowchart LR
    A[Vector A] --> C[Resultant R]
    B[Vector B] --> C

Circuit Diagram (ASCII)

code
    ┌────/\/\/\/────┐
    │      R        │
  ──┴──           ──┴──
  + │ -  Battery   │
  ──┬──           ──┬──
    │               │
    └───────────────┘

Problem-Solving Framework

General Steps

  1. Draw a diagram - Visualize the situation
  2. List knowns and unknowns - Organize given data
  3. Choose equations - Match variables to formulas
  4. Solve algebraically first - Keep symbols until the end
  5. Substitute values - Include units
  6. Check answer - Units, magnitude, direction

Kinematics Problem Pattern

code
Given: v₀, a, t (or any 3 of 5 variables)
Find: x, v (or remaining variables)

Equations to choose from:
1. v = v₀ + at
2. x = v₀t + ½at²
3. v² = v₀² + 2ax
4. x = ½(v₀ + v)t

Force Problem Pattern

code
1. Draw free body diagram
2. Choose coordinate system
3. Apply ΣF = ma in each direction
4. Solve system of equations

Key Concepts Summary

Newton's Laws

LawStatementEquation
1stObject at rest stays at restIf ΣF = 0, v = constant
2ndF = maΣF = ma
3rdAction = ReactionF₁₂ = -F₂₁

Energy Conservation

$$E_{total} = KE + PE = \text{constant (in isolated system)}$$

$$KE = \frac{1}{2}mv^2 \quad PE_{gravity} = mgh \quad PE_{spring} = \frac{1}{2}kx^2$$

Momentum Conservation

$$p = mv \quad \Sigma p_{before} = \Sigma p_{after}$$


Common Mistakes to Avoid

  1. Forgetting to convert units (km to m, hours to seconds)
  2. Wrong sign convention (acceleration vs. deceleration)
  3. Using wrong kinematic equation (check which variable is missing)
  4. Ignoring friction when it's present
  5. Confusing instantaneous vs. average values