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Volume I · MMXXVI AP Physics C: Mechanics
Library AP Physics C: Mechanics Unit 2: Force and Translational Dynamics
⁂   AP Physics C: Mechanics · Unit 2

2. Force and Translational Dynamics

20–25% of the AP exam. 8 key topics. 4 common errors analyzed.

20–25% exam weight

Unit 2: Force and Translational Dynamics

Unit 2 (Force and Translational Dynamics) is part of the calculus-based AP Physics C: Mechanics curriculum. Variable-force problems and differential equations require calculus setup; show your integral expression before evaluating.

Key topics in this unit

  1. Systems and center of mass
  2. Forces and free-body diagrams
  3. Newton's First, Second, and Third Laws
  4. Gravitational force; kinetic and static friction
  5. Spring forces (Hooke's Law)
  6. Resistive forces: drag proportional to v and to v²
  7. Setting up and solving differential equations for resistive-force motion (separation of variables)
  8. Circular motion: centripetal acceleration and net centripetal force

Common errors — what the rubric penalizes

These are the most frequently penalized mistakes on AP exam FRQs and MCQs. Review each before your next practice session.

Common error

Sign discipline failure: failing to define and consistently apply a positive direction through multi-step Newton's Law problems, leading to incorrect signs on net force or acceleration

Common error

Resistive force ODE setup errors: writing the drag differential equation incorrectly (e.g., omitting the correct sign on the bv term) or failing to solve by separation of variables, resorting to algebra instead

Common error

Free-body diagram omissions: missing normal force on curved surfaces, incorrect friction direction on inclined planes, or forgetting tension components in two-body systems

Common error

Treating the center of mass as always located at the geometric center of an object, rather than computing its position via the mass-weighted average

Study checklist

  • Can you list all key topics from memory without this page?
  • Have you worked through at least one FRQ-style question per topic?
  • Can you explain each common error above — and why the correct answer differs?
  • Have you reviewed the relevant College Board CED section and formula sheet entries?
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