AP® Physics 1: Algebra-Based · Unit 2 · Topic 2.3
Newton's Third Law and Force Pairs
Newton's third law says every force comes from an interaction between two objects, and each object pushes back on the other with equal magnitude and opposite direction, always, no exceptions.
A force never happens alone. It exists only as part of a pair: object A pushes on object B, and B pushes back on A with the same strength in the opposite direction. You push the ground backward when you walk, so the ground pushes you forward with identical magnitude. That forward push is what accelerates you, because it acts on you, not on the ground. To find any force's partner, just swap the subject and the object: if the hand pushes the wall, the wall pushes the hand, same size, opposite way.
The pair always acts on two different objects, never on the same one. In a head-on collision, the truck pushes the car with some force, and the car pushes the truck with the exact same magnitude, opposite direction, the entire time they're in contact. Those two forces never cancel because they act on different bodies. The car crumples more because it has much less mass, so the same force gives it a much larger acceleration, by Newton's second law. Equal forces, wildly unequal outcomes.
This is why the rocket question trips people up: a rocket in empty space has nothing external to shove against, yet it still accelerates. It pushes its own exhaust gas backward, and the gas pushes the rocket forward with equal force, a complete third-law pair contained entirely within the rocket-fuel system. No planet, wall, or air is needed. This connects directly to the second law: third-law pairs tell you the forces are equal, but each object's resulting acceleration depends on its own mass, which is where the real asymmetry in a collision or launch comes from.
Key terms
- Newton's third law
- For every force one object exerts on a second, the second exerts an equal and opposite force back on the first.
- Force pair
- The two forces in a third-law interaction, equal in magnitude, opposite in direction, acting on two different objects.
- Interaction
- A mutual push or pull between two objects that produces the third-law force pair.
- Thrust
- The forward force on a rocket produced by its third-law pair with the exhaust gas it expels backward.
Watch it explained
- How it worksHow do you spot the partner of any force by naming who acts on whom?
- How it worksWalk me through the third-law pairs when a truck collides head-on with a small car.
- Common mistakeWhy doesn't the car get pushed harder than the truck even though it gets wrecked?
- Going furtherWhat lets a rocket accelerate in space with nothing to push against?
Check yourself
End of topic.