College Board-Aligned Original Notes

AP Physics C: Mechanics Unit 2 Topic 5: Newton's laws of motion: third law

Newton's Third Law describes paired forces between two interacting objects.

Unit 2: Force and Translational Dynamics. College Board exam weighting listed for this unit: 20%-25% of multiple-choice score.

What to Know

  • Third-law force pairs are equal in magnitude and opposite in direction.
  • The two forces act on different objects, so they never cancel in one object's free-body diagram.
  • Third-law pairs are the same type of interaction, such as contact, gravitational, or tension-related interaction forces.
  • Always connect this topic back to the larger unit: Force and Translational Dynamics.

Detailed Notes

Newton's laws of motion: third law belongs to Unit 2: Force and Translational Dynamics. Newton's Third Law describes paired forces between two interacting objects. In AP Physics C: Mechanics, the explanation should connect diagrams, calculus relationships, and the physical meaning of each quantity.

Key relationships: Third-law force pairs are equal in magnitude and opposite in direction. The two forces act on different objects, so they never cancel in one object's free-body diagram. Third-law pairs are the same type of interaction, such as contact, gravitational, or tension-related interaction forces.

Model to use: Name the interaction as force of object A on object B and force of object B on object A. Define the coordinate system, system boundary, and sign convention before writing equations.

AP-style move: When asked whether forces are equal, check whether the forces are a true interaction pair acting on different objects. Show the setup symbolically, then interpret the answer with units and direction when relevant.

Key Vocabulary

Third-law pair

Two equal and opposite forces from one interaction acting on different objects.

Mutual force

A force one object exerts as part of a paired interaction.

Different-object condition

The requirement that action-reaction forces act on two separate objects.

Contact interaction pair

A third-law pair caused by physical contact.

Gravitational interaction pair

A third-law pair caused by mutual gravitational attraction.

Quick Practice

How would you explain Newton's laws of motion: third law in one or two AP-style sentences?

Name the concept, apply it to a specific example or source, and explain the reasoning that connects the evidence to your answer.

Related Topics in This Unit

  • Center of mass
  • Systems
  • Newton's laws of motion: first and second law
  • Circular motion

Reference and Attribution

AP Physics C: Mechanics concept reference: AP Physics C Mechanics-Concise Summary Notes by IITian Academy. EduCompanion used this source as a topic checklist and conceptual reference, then rewrote the study notes in original wording.