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AP Physics C: Mechanics Study Guide & Review

Build reliable calculus-based models for motion, forces, energy, momentum, rotation, orbits and oscillations using clearly defined systems, precise representations, experiments and physically checked mathematical reasoning.

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  1. 01Learn concepts
  2. 02Practise questions
  3. 03Review mistakes

How to study AP Physics C: Mechanics

AP Physics C: Mechanics improves when calculus expresses a physical model rather than replacing one. Use the seven-unit syllabus map to define the system, boundary, axes and reference frame; draw vectors or free-body diagrams; then choose dynamics, work–energy, impulse–momentum, rotation or oscillation principles whose conditions apply. Derive symbolically and check direction, units, limits and plausibility.

Rebuild a weak model in Concept and retrieve its representation, assumptions and calculus setup in Mastery before applying it in the Question Bank. Mark the first failure as system choice, vector or sign, free-body diagram, principle, derivative or integral setup, algebra or units, graph, experimental design or justification. Repair that move and solve a matched situation without notes.

Practise Mechanics through systems, calculus and evidence

Coordinate vectors, diagrams, derivatives, integrals, graphs, experiments and physical checks across motion, conservation, rotation, orbits, oscillations and all four current FRQ forms.

Kinematics and dynamics

Vector motion, reference frames, center of mass, free-body diagrams, variable forces and circular motion

Move consistently among position, velocity and acceleration vectors, graphs, derivatives and integrals. Draw a separate free-body diagram for the chosen system, convert components into equations and form a differential relationship when force depends on position, velocity or time.

Practise motion and forces

Work, energy and power

Variable-force work, potential energy, conservation, transfer and power

Choose work–energy when forces or paths make it efficient, and define the system before claiming conservation. For variable force, set up the line integral or use graph geometry, preserve signs and reconcile the result with energy transfer and limiting behavior.

Practise energy

Momentum and center of mass

Impulse, collisions, explosions, external forces and center-of-mass motion

Define the system and interaction interval, separate internal from external impulse and track vector components. Reconcile momentum conservation with possible kinetic-energy change, and distinguish center-of-mass motion from relative motion before and after a collision or explosion.

Practise momentum

Rotation, rolling and orbits

Torque, rotational inertia, angular momentum, rolling constraints, gravity and satellite motion

Choose the axis and show lever arms and torque directions. Include mass distribution in rotational inertia, combine translation and rotation for rolling only when no slip is justified, and connect orbital force, energy and angular momentum without assuming every orbit is circular.

Practise rotation and orbits

Oscillations, experiments and FRQs

SHM, pendulums, representations, experimental design and qualitative-quantitative translation

Derive or identify the restoring-force differential equation and connect position, velocity, force and energy through the cycle. Rotate Topics through all four FRQ forms; plan repeated measurements, graph or linearize with uncertainty and reconcile qualitative predictions with quantitative results.

Practise Mechanics FRQs

Where to start

Begin with one known weak Topic or use a mixed diagnostic to reveal the earliest repeated system, representation, calculus, experiment or reasoning failure.

Choose your starting point

  1. I know the weak Topic

    Open its exact Unit and identify the system, representation, governing principle and derivative, integral or calculation required.

    Browse all seven Units

  2. I do not know what is weak

    Take a mixed diagnostic and classify the first repeated Mechanics move that fails before reviewing broad content.

    Start a diagnostic

Choose the right starting point

  1. Represent the system

    Choose boundaries, axes and frame, then draw vectors, force diagrams, graphs, energy views or rotation geometry.

    Review a Concept

  2. Select and derive

    Name the principle and conditions, build the differential or integral relationship and predict sign and limiting behavior.

    Check Mastery

  3. Apply and repair

    Solve an unfamiliar task, reconcile mathematical and physical representations with evidence, then correct the first failed move.

    Practise questions

Explore all seven AP Physics C: Mechanics units

Navigate 41 Topics across the current seven-Unit framework, from vector kinematics and translational dynamics through energy, momentum, rotation, orbiting systems and oscillations. Use official MCQ ranges to balance practice without breaking conceptual dependencies.

7
syllabus groups
41
mapped topics

1 Kinematics

Open unit questions
1.1 Scalars and Vectors1.2 Displacement, Velocity, and Acceleration1.3 Representing Motion1.4 Reference Frames and Relative Motion1.5 Motion in Two or Three Dimensions

2 Force and Translational Dynamics

Open unit questions
2.1 Systems and Center of Mass2.2 Forces and Free-Body Diagrams2.3 Newton’s Third Law2.4 Newton’s First Law2.5 Newton’s Second Law2.6 Gravitational Force2.7 Kinetic and Static Friction2.8 Spring Forces2.9 Resistive Forces2.10 Circular Motion

3 Work, Energy, and Power

Open unit questions
3.1 Translational Kinetic Energy3.2 Work3.3 Potential Energy3.4 Conservation of Energy3.5 Power

4 Linear Momentum

Open unit questions
4.1 Linear Momentum4.2 Change in Momentum and Impulse4.3 Conservation of Linear Momentum4.4 Elastic and Inelastic Collisions

5 Torque and Rotational Dynamics

Open unit questions
5.1 Rotational Kinematics5.2 Connecting Linear and Rotational Motion5.3 Torque5.4 Rotational Inertia5.5 Rotational Equilibrium and Newton’s First Law in Rotational Form5.6 Newton’s Second Law in Rotational Form

6 Energy and Momentum of Rotating Systems

Open unit questions
6.1 Rotational Kinetic Energy6.2 Torque and Work6.3 Angular Momentum and Angular Impulse6.4 Conservation of Angular Momentum6.5 Rolling6.6 Motion of Orbiting Satellites

7 Oscillations

Open unit questions
7.1 Defining Simple Harmonic Motion (SHM)7.2 Frequency and Period of SHM7.3 Representing and Analyzing SHM7.4 Energy of Simple Harmonic Oscillators7.5 Simple and Physical Pendulums

AP Physics C: Mechanics exam format for 2027

The May 3, 2027 Session 1 hybrid exam has 42 digital multiple-choice questions in 85 minutes and four digital-prompt, handwritten free-response questions in 95 minutes.

Paper / componentQuestionsTime% of grade
Section I: Multiple Choice42 questionsBluebook presents discrete and stimulus-based questions using mechanics situations, mathematical representations and experimental data; approved calculators are available.How to prepare: Practise selecting systems and principles, setting up calculus, translating graphs and diagrams and checking vectors, units, limits and plausibility under time.85 minutes50%
Section II: Free Response4 questionsPrompts appear in Bluebook and responses are handwritten: Mathematical Routines, Translation Between Representations, Experimental Design and Analysis and Qualitative/Quantitative Translation.How to prepare: Train each task form separately, then combine calculus derivations, labelled representations, feasible experiments, uncertainty analysis and evidence-based reconciliation in timed handwritten work.95 minutes50%

SourceCollege Board · AP Physics C: Mechanics ExamAP Physics C: Mechanics · May 2027 exam update

AP Physics C: Mechanics questions

College Board recommends prior or concurrent calculus. You should connect derivatives to velocity, acceleration and rates of change; integrals to displacement, work and impulse; and differential relationships to variable-force motion and oscillations. The goal is physical modeling, not calculus performed without a mechanics interpretation.

College Board allows four-function, scientific or approved graphing calculators on both sections. Bluebook includes Desmos scientific and graphing calculators, and students may bring up to two permitted handhelds. External calculator apps or websites are not allowed during the exam.

Mechanics receives course-specific reference information in print and in Bluebook. At this review date, College Board had not yet posted the standalone 2027 booklet and directed students to the current CED appendix. Do not substitute the AP Physics 1 or E&M reference information.

At least 25% of instructional time must involve hands-on laboratory investigations. Practise variables and controls, feasible measurements, repeated data, graphing or linearization, slope interpretation, uncertainty and evidence-bounded conclusions. Keep a lab notebook or report portfolio because colleges may request evidence for laboratory credit.

Use the official archive with an alignment check. College Board warns that materials around the 2024–25 revisions do not all completely match the current course and exam. Tag questions by Topic and current task form, prioritize recent evidence and do not present every older set as a full 2027 mock.