Forces and Newton s Laws

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chapter 3 section 1 Forces Forces and Newton s Laws What You ll Learn how force and motion are related what friction is between objects the difference between mass and weight Before You Read When you hit a baseball with a bat, you apply a force that moves another object. Think of three more examples from sports in which force is used to move something. Write your examples on the lines below. Study Coach Create a Quiz As you are reading this section, write five questions that could be used on a quiz. Be sure to include the answers. A Find Main Idea As you read, use quarter or half sheets of paper to help you identify the main ideas about forces and friction. Forces Friction Read to Learn What is force? A force is a push or a pull. When you kick a soccer ball, it is obvious that you have applied force to it. Sometimes, though, a force is not as obvious. For example, do you feel the force of gravity acting on your body? There are many forces that you exert every day. Every time you sit, stand, stretch, bend, push, or pull, you exert a force on another object. How does force change motion? Think about a tennis player hitting a ball. What happens to the motion of the ball when the racket hits it? The force of the racket hitting the ball makes the ball stop. Then the force makes the ball move in a different direction. What are balanced forces? Not all forces change velocity. Suppose two students are pushing on opposite sides of a box. As shown in the figure, if both students are pushing with an equal force, the box does not move. When two or more forces act on an object at the same time, the forces combine. This is called a net force. When two students are pushing with the same force, but in opposite directions, the two forces cancel each other. The net force on the box is zero. Forces on an object that are equal in size and opposite in direction are called balanced forces. 40 CHAPTER 3 Forces and Newton s Laws

Picture This 1. Describe Why are the forces in the figure said to be balanced? 0 Net force 0 What is the result of unbalanced forces? Not all forces in opposite directions balance each other. Think about two students pushing on the opposite sides of a box. What happens if one student pushes harder than the other as in the picture? The forces are not balanced, and the box will move in the direction of the larger force. The student who is pushing harder will move the box in the direction of the force. The net force that moves the box is the difference between the two forces. Suppose both students push on the same side of the box as in the second figure. The students are both exerting force in the same direction. Again the forces Net force Net force are unbalanced. The forces combine, or add together, because they are exerted in the same direction. Again, net force is equal to both forces added together. Friction Suppose you give a skateboard a push with your hand. If the net force on the skateboard is zero, it will continue to move with a constant speed. Does it move with constant speed after it leaves your hand? No, the skateboard slows down and stops. There must be a net force acting on it. So, what force is acting? The force that brings the skateboard to a stop is friction. Friction is the force that opposes the sliding motion of two surfaces that are touching each other. The amount of friction between two surfaces depends on two things. The first is the kind of surfaces that are touching. And the second is the amount of force that is pressing the surfaces together. 2. Define What is the net force? 3. Infer Which would have more friction, a car traveling down a street or a toy remote-control car traveling on the same street? Why? Reading Essentials 41

Picture This 4. Observe Do surfaces touch more when there is less force or greater force? What causes friction? Something that seems very smooth, like polished metal, may actually be rough. You can see the dips and bumps on the surface when you look at it under a microscope. If two surfaces are pushed tightly together, welding, or sticking, happens where the bumps touch each other. These places are called microwelds. Micro- means very small. Friction is caused by the microwelds that form where the surfaces are in contact. What makes things stick together? The greater the force pushing two surfaces together, the stronger the microwelds will be. More of the surface bumps will be touching each other. You can see microwelds in the figure below. To move one surface over another, a force must be applied to break these microwelds. Force More force Surfaces Same two surfaces Microwelds form where bumps come into contact. More force presses the bumps closer together. 5. Complete the sentence: The force that keeps two surfaces at rest from sliding over each other is. What is static friction? Suppose you fill a cardboard box with books, but it is too heavy to lift. You try to push it, but you cannot get it to move. This means there must be a force that is working against you. The force is friction caused by microwelds between the bottom of the box and the floor. This is called static friction. Static friction is the force that keeps two surfaces at rest from sliding across each other. In this case, your push is not large enough to break the microwelds between the box and floor. So, the box will not start moving. 42 CHAPTER 3 Forces and Newton s Laws

What is sliding friction? Suppose you ask your friend to help move the box. As you and your friend push together, the box starts to move. The two of you have applied enough force to break the microwelds between the box and the floor. If you stop pushing, the box will stop moving. Another force, sliding friction, is opposing the motion of the box. Sliding friction is the force that works against the motion of two surfaces that are sliding across each other. Sliding friction is caused by the microwelds breaking and then forming again as the box slides along the floor. What is rolling friction? A wheel digs into the surface that it is rolling over. This causes both the wheel and the surface to be deformed. There is static friction in the deformed area where the wheel and surface are in contact. This makes a frictional force called rolling friction. Rolling friction is the frictional force between a rolling object and the surface it rolls on. Have you ever seen a car s wheels spinning in the mud or snow? There is sliding friction between the spinning wheels and the surface. Sand or gravel on the surface increases the sliding friction, so the wheels will stop slipping. What is gravity? At this moment you are exerting an attractive force on everything around you your desk, your classmates, and even the planet Jupiter, millions of kilometers away. This attractive force acts on all object with mass and is called gravity. Gravity is an attractive force between any two objects that depends on the masses of the objects and the distance between them. Gravity increases as the mass of either object increases, or as the objects move closer to each other. You can t feel the force between you and your desk because the force is weak. Earth is both close and has a large enough mass that you can feel its gravitational attraction. The Sun has more mass, but it is too far away to exert an attraction you can feel. 6. Compare and Contrast How do static friction and sliding friction differ? Picture This 7. Interpret Illustrations What two things can cause the gravitational force between objects to increase? If the mass of either of the objects increases, the gravitational force between them increases. If the objects are closer together, the gravitational force between them increases. Reading Essentials 43

8. Determine What do the 1 and 2 in m 1 m 2 mean? The Law of Universal Gravitation The law of universal gravitation lets us find the force of gravity between any two objects if their masses and the distance between them are known. Here is an equation for the law: gravitational force (constant) (mass 1) (mass 2) distance 2 m F G 1 m 2 d 2 In this equation, G is the constant called the universal gravitational constant. A constant is an amount that never changes. The variable d is the distance between the two masses, m 1 and m 2. Why is gravity called a long-range force? The law of universal gravitation states that the gravitational force between two masses decreases as the distance between them increases. Suppose the distance between two objects increases from 1 m to 2 m. Then the gravitational force between them becomes one fourth as large. If the distance increases from 1 m to 10 m, the gravitational force between the objects is one hundredth as large. No matter how far apart two objects are, the gravitational force between them never completely goes to zero. Gravity is called a long-range force. No matter how long the distance is between two objects, gravity never disappears. Because contact between objects is not required, gravity is sometimes discussed as a field. A field is a region of space that has a physical quantity (such as a force) at every point. All objects are surrounded by a gravitational field. Earth s gravitational field is strongest near Earth and becomes weaker as the distance from Earth increases. Is there a difference between weight and mass? Weight and mass are not the same. Weight is a force. Mass is a measure of the amount of matter in an object. But weight and mass are related. The greater an object s mass, the stronger the gravitational force between the object and Earth. Weight is the gravitational force on an object. Your weight on Earth is greater than your weight on the Moon because Earth has a greater mass than the Moon. Weight is found using the following equation. The letter g represents the acceleration of gravity. weight (N) mass (kg) acceleration of gravity (m/s 2 ) W mg 44 CHAPTER 3 Forces and Newton s Laws

After You Read Mini Glossary field: a region of space that has a physical gravity (such as force) at every point force: a push or pull friction: the force that opposes the sliding motion of two surfaces that are touching each other gravity: an attractive force between any two objects that depends on the mass of the objects and the distance between them net force: when two or more forces act on an object at the same time, the forces combine weight: the gravitational force exerted on an object 1. Review the definition of air resistance in the Mini Glossary. Give an example of air resistance. 2. Complete the chart below to organize the different kinds of friction. Describe static friction. Give an example of static friction. Describe sliding friction. Give an example of sliding friction. Describe rolling friction. Give an example of rolling friction. 3. Study Coach As you read this section, you wrote the main idea of each paragraph in your own words. How did you decide what the main idea of each paragraph was? End of Section Reading Essentials 45