AP Physics C: Mechanics · Unit 2: Force & Translational Dynamics
2.3 Newton's Third Law
Newton's Third Law
For every force one object exerts on another, the second object exerts a force equal in magnitude and opposite in direction on the first. These action-reaction pairs always act on *different objects*, occur simultaneously, and are of the same type of force. They never cancel each other because they act on separate bodies.
Identifying force pairs
To find a third-law pair, swap the subject and object: if A pushes on B, then B pushes on A. Pairs must match in type (e.g., both gravitational, or both normal) and act along the same line but in opposite directions. Internal forces within a system (like tension pulling two blocks together) still obey this law.
Third law vs. net force
Don't confuse action-reaction pairs with balanced forces on one object. A book resting on a table has weight (Earth on book) and a normal force (table on book) — these act on the *same* object and are NOT a third-law pair, even though they may be equal. The true pair to weight is the book pulling Earth upward via gravity.
Key terms
- Newton's Third Law
- For every action force, there is an equal and opposite reaction force acting on a different object.
- Action-reaction pair
- Two forces of the same type, equal in magnitude, opposite in direction, acting simultaneously on two different objects.
- How to find a third-law pair
- Swap the subject and object of the force statement: if A pushes B, then B pushes A equally and oppositely.
- Common misconception
- Weight and normal force on the same object are NOT a third-law pair — they act on the same body, not different ones.
- Why third-law pairs don't cancel motion
- They act on different objects, so each object can still accelerate independently based on its own net force and mass.
Try an AP-style question
A 4 kg block pushes a 1 kg block along a frictionless floor with a 10 N push on the 4 kg block. What force does the 1 kg block exert on the 4 kg block?
- 10 N backward
- 2 N backward
- 2 N forward
- 8 N backward
Show the answer
B. a = 2 m/s²; the 1 kg needs 2 N.
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