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Applying newton's third law

[BL] Review the concept of weight as a force.
[OL] Ask students what happens when an object is dropped from a height. Why does it stop when it hits the ground? Introduce the term normal force.

[BL] [OL] [AL] Demonstrate the concept of “tension” by using physical objects. Suspend an object such as an eraser from a peg by using a rubber band. Hang another rubber band beside the first but with no object attached. Ask students what the difference is between the two. What are the forces on the first peg? Explain how the rubber band (i.e., the connector) transmits force. Now ask students the direction of the external forces acting on the connector. Also ask what internal forces are acting on the connector. If you remove the eraser, in which direction will the rubber band move? This is the direction of the force the rubber band applied to the eraser.

Forces are classified and given names based on their source, how they are transmitted, or their effects. In previous sections, we discussed the forces called “push,” “weight,” and “friction.” In this section, applying Newton’s third law of motion will allows us to explore three more forces: the normal force    , tension    , and thrust    . However, because we haven’t yet covered vectors in depth, we’ll only consider one-dimensional situations in this chapter. The next chapter will consider forces acting in two dimensions.

The gravitational force (or weight) acts on objects at all times and everywhere on Earth. We know from Newton’s second law that a net force produces an acceleration; so why is everything not in a constant state of freefall toward the center of Earth? The answer is the normal force. The normal force is the force that a surface applies to an object to support the weight of that object; it acts perpendicular to the surface upon which the object rests. If an object on a flat surface is not accelerating, the net external force is zero, and the normal force has the same magnitude as the weight of the system but acts in the opposite direction. In equation form, we write that

N = m g
Note that this equation is only true for a horizontal surface. The word “tension” comes from the Latin word meaning “to stretch.” Tension is the force along the length of a flexible connector, such as a string, rope, chain, or cable. Regardless of the type of connector attached to the object of interest, one must remember that the connector can only pull (or “exert tension”) in the direction parallel to its length. Tension is a pull that acts parallel to the connector, and that acts in opposite directions at the two ends of the connector. This is possible because a flexible connector is simply a long series of action-reaction forces, except at the two ends where outside objects provide one member of the action-reaction forces.

Consider a person holding a mass on a rope as shown in [link] .

Alt text
An object of mass m is attached to a rope and a person is holding the rope.

When a perfectly flexible connector (one requiring no force to bend it) such as an ideal rope transmits a force T, this force must be parallel to the length of the rope, as shown. The pull that such a flexible connector exerts is a tension. Note that the rope pulls with equal magnitude force but in opposite directions on the hand and on the mass (neglecting the weight of the rope). This is an example of Newton’s third law. The rope is the medium that transmits between the two objects forces of equal magnitude but that act in opposite directions.

Practice Key Terms 4

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Source:  OpenStax, Updated tutor hs physics content - legacy. OpenStax CNX. Mar 16, 2015 Download for free at https://legacy.cnx.org/content/col11768/1.4
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