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Newton's third law of motion

Newton's Third Law of Motion deals with the interaction between pairs of objects. For example, if you hold a book up against a wall you are exerting a force on the book (to keep it there) and the book is exerting a force back at you (to keep you from falling through the book). This may sound strange, but if the book was not pushing back at you, your hand would push through the book! These two forces (the force of the hand on the book (F 1 ) and the force of the book on the hand (F 2 )) are called an action-reaction pair of forces. They have the same magnitude, but act in opposite directions and act on different objects (the one force is onto the book and the other is onto your hand).

There is another action-reaction pair of forces present in this situation. The book is pushing against the wall (action force) and the wall is pushing back at the book (reaction). The force of the book on the wall (F 3 ) and the force of the wall on the book (F 4 ) are shown in the diagram.

Newton's action-reaction pairs
Newton's Third Law of Motion

If body A exerts a force on body B, then body B exerts a force of equal magnitude on body A, but in the opposite direction.

Khan academy video on newtons laws - 3

Newton's action-reaction pairs can be found everywhere in life where two objects interact with one another. The following worked examples will illustrate this:

Dineo is seated in the passenger seat of a car with the seat belt on. The car suddenly stops and he moves forwards until the seat belt stops him. Draw a labeled force diagram identifying two action-reaction pairs in this situation.

  1. Start by drawing the picture. You will be using arrows to indicate the forces so make your picture large enough so that detailed labels can also be added. The picture needs to be accurate, but not artistic! Use stickmen if you have to.

  2. Take one pair at a time and label them carefully. If there is not enough space on the drawing, then use a key on the side.

Tammy travels from the ground floor to the fifth floor of a hotel in a lift. Which ONE of the following statements is TRUE about the force exerted by the floor of the lift on Tammy's feet?

  1. It is greater than the magnitude of Tammy's weight.
  2. It is equal in magnitude to the force Tammy's feet exert on the floor.
  3. It is equal to what it would be in a stationary lift.
  4. It is greater than what it would be in a stationary lift.
  1. This is a Newton's Third Law question and not Newton II. We need to focus on the action-reaction pairs of forces and not the motion of the lift. The following diagram will show the action-reaction pairs that are present when a person is standing on a scale in a lift.

    Newton's action-reaction pairs in a lift

    In this question statements are made about the force of the floor (lift) on Tammy's feet. This force corresponds to F 2 in our diagram. The reaction force that pairs up with this one is F 1 , which is the force that Tammy's feet exerts on the floor of the lift. The magnitude of these two forces are the same, but they act in opposite directions.

  2. It is important to analyse the question first, before looking at the answers as the answers might confuse you. Make sure that you understand the situation and know what is asked before you look at the options.

    The correct answer is B.

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Source:  OpenStax, Maths test. OpenStax CNX. Feb 09, 2011 Download for free at http://cnx.org/content/col11236/1.2
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