Newton's Third Law of Motion

Introduction

This law states that every force has a paired equal and opposite force

It is important to remember that the forces must act on two different bodies and the forces must be the same type of force

Newton's third law

This law can be demonstrated using two pulleys which are connected by a stretched rubber band, as seen above

When the trolleys are released, they travel the same distance and meet in the middle

  • What you are seeing is trolley A exerting a force on trolley B, and trolley B exerts a force of the same size, in the opposite direction, on trolley A

Paired Forces

Newton's third law

If I push you with a force of 100N, you push me back with a force of 100N

Newton's third law

When the wheel of a car turns it pushes the road backwards, and the road pushes the wheel forwards with an equal and opposite force

Newton's third law

A spacecraft orbiting the Earth is pulled downwards by Earth's gravity. The spacecraft exerts an equl an opposite gravitational pull on Earth - so if the spacecraft moves towards Earth, the Earth moves too, but because Earth is so big the movement is tiny

Newton's third law

Here we see two positively charged balloons, which are repulsive. These forces are of the same size, so each balloon (if of the same mass) is lifted through the same angle

Newton's third law pairs

Newton's third law pairs always have these properties:

  • They act on two separate bodies
  • They are of the same type, for example two electrostatic forces or two contact forces
  • They are of the same magnitude
  • They act along the same line
  • They act in opposite directions

A tug of war

Alan and Ben are playing a game of tug of war

Alan is beginning to win - Alan, Ben and the rope are accelerating to the left at 2ms-2

By drawing a free body diagram for Alan (mass 80kg), the rope (mass 2kg) and Ben (mass 60kg), we can analyse the forces acting on each person

Newton's third law and a tug of war

Newton's third law and a tug of war

For each body the resultant force caused an acceleration of 2 ms-2. These calculations use Newton's second law.

Newton's third law and a tug of war

Newton's third law pairs

The Earth pushes Alan with 400N to the left. Alan pushes the Earth with 400N to the right

The Earth pushes Ben with 116N to the right. Ben pushes the Earth with 116N to the left

The rope's tension pulls Alan to the right with 240N. Alan pulls the rope to the left with 240N

The rope's tension pulls Ben to the left with 236N. Ben pulls the rope to the right with 236N