Chapter 4
Newton's Three Laws

Part 6

Newton's Third Law of Motion

Newton's Third Law: For every force that acts on an object, there is a reaction force acting on a different object that is equal in magnitude and opposite in direction.

Example 7

Two groups of canoeists meet in the middle of a lake. After a brief visit, a person in canoe 1 pushes on canoe 2 with a force of 46 N to separate the canoes. If the mass of canoe 1 and its occupants is , and the mass of canoe 2 and its occupants is , (a) find the acceleration the push gives to each canoe. (b) What is the separation of the canoes after 1.2 s of pushing?

Free-body diagram

Solution

 

Example 8

Two boxes–one large and heavy, the other small and light–rest on a smooth, level floor. You push with a force on either the small box or the large box. Is the contact force between the two boxes (a) the same in either case, (b) when you push on the large box, or (c) larger when you push on the small box?

(c) The contact force is larger when you push on the small box.

 

Example 9

A box of mass rests on a smooth, horizontal floor next to a box of mass . If you push on box 1 with a horizontal force of magnitude F = 20.0 N, (a) what is the acceleration of the boxes? (b) What is the force of contact between the boxes?

 

Solution

Video

What happens if the relative position of the boxes is reversed? (a) What is the acceleration of the boxes? (b) What is the force of contact between the boxes? (c) What is the total force acting on box 2?

 

Solution:

(a) 1.33 m/s^2

(b) 13.3 N

(c) 6.67 N

 

Weight