Background Information. Swift Satellite. Relevance of Newton s Second Law of Motion to Swift

Transcription

1 Background Information Swift Satellite Relevance of Newton s Second Law of Motion to Swift Demos and Thought Problems for Newton s Third Law of Motion Student Activities 1. A Day at the Races 2. Reacting to Action Notes to Teachers National Science and Math Standards of the Newton s Law Materials Acknowledgements

2 Teacher Information Teachers: This material examines Newton s Third Law of Motion in a way that will help you teach the law to your students. The photocopy-ready Student Activities pages will give students the opportunity to learn aspects of the Third Law in a way that they will find interesting and fun. Notes about each activity appear in the Notes to Teachers section. The activities can be tailored for the level of your students, and can be completed individually or in groups. In addition, students will create a logbook, called Newton s Lawbook, in which they can take notes and track their findings from the scientific experiments offered in the Student Activities pages. Newton s Third Law of Motion For every force, there is an equal and opposite force. Newton s First Law of Motion explains the Law of Inertia, the connection between force and motion. Newton s Second Law of Motion describes quantitatively how forces affect motion. And Newton s Third Law of Motion addresses the nature of force. Our daily experiences might lead us to think that forces are always applied by one object on another. For example, a horse pulls a buggy, a person pushes a grocery cart, or a magnet attracts a nail. In each of these examples a force is exerted on one body by another body. It took Sir Isaac Newton to realize that things are not so simple, not so onesided. True, if a hammer strikes a nail, the hammer exerts a force on the nail (thereby driving it into a board). Yet, the nail must also exert a force on the hammer since the hammer s state of motion is changed and, according to the First Law, this requires a net (outside) force. This is the essence of Newton s Third Law: Whenever one object exerts a force on a second object, the second object exerts an equal and opposite force on the first object. This law is often stated: For every action there is an equal and opposite reaction. However, it is important to understand that the action force and the reaction force are acting on different objects. Try this: Press the side of your hand against the edge of a table. Notice how your hand becomes distorted. Clearly, a force is being exerted on it. You can see the edge of the desk pressing into your hand; you can feel the desk exerting a force on your hand. Now press harder. The harder you press the harder the desk pushes back on your hand. Remember this important point: You can only feel the forces being exerted on you, not the forces you exert on something else. So, it is the force the desk is exerting on you that you see and feel in your hand.

3 It is often difficult to visualize how an inanimate object (such as a desk, floor, or wall) can exert force. How do they do it? The fact is that all objects, to some degree, are elastic. It is easy to visualize a stretched rubber band exerting a force on a wad of paper and causing it to fly across the room. Other materials may not stretch as easily as a rubber band, however all objects stretch (or compress) when a force is exerted on them, and in return they react. The Swift Satellite Swift is a space-based multiwavelength observatory dedicated to the study of gamma-ray bursts. Its purpose is to determine the origin and nature of these powerful cosmic explosions; determine how the blastwaves from the bursts evolve and interact with their surroundings; and determine if these bursts can be used as effective probes of the early Universe. Scheduled for launch in Fall 2003, Swift is a collaboration between the United States, the United Kingdom, and Italy. Newton s Third Law and the Swift Satellite Swift was created to study gamma-ray bursts, which are brief cosmic bursts of electromagnetic radiation. When Swift detects a gamma-ray burst, it must be able to turn and point to it very quickly in order to gather information about the burst before it is over. This means Swift must be able to rotate to point at a burst, then stop rotating. This is called slewing. In order to start and stop slewing, the satellite must push against something. In this case, it will push against a set of small wheels (called reaction wheels or flywheels) inside the satellite. To begin slewing, the satellite pushes against one of the wheels. This push rotates the wheel in one direction, forcing the satellite to rotate in the other direction. Once Swift is pointing in the right direction, it pushes against the wheel again this time in the opposite direction. This brings the satellite to a stop. By pushing against three different wheels, all oriented in different directions, the satellite can turn and point in any direction. Newton s Third Law of Motion explains the physics behind this technical maneuver: For every force, there is an equal and opposite force. Demos and Thought Problems Teachers: Use the following demonstrations to introduce Newton s Third Law to your class. Remind students that a force is necessary to start something moving when it is at rest, or to change its motion from one speed or direction to another. Roll a ball at a wall with enough velocity to make it roll back or bounce off at an angle. Have students describe what they saw. Once you establish that the ball changed directions, ask why that happened. In an open discussion, establish that the wall had to exert a force on the ball. Ask for other examples of a force changing the direction of an object s motion. One example

4 might be baseball. The force exerted on the ball by the bat causes the ball to change directions. As an added brainteaser, ask students to picture a game of croquet. The mallet hits Ball A, which, in turn, hits Ball B. Ask students to explain this chain of events. Lastly, throw a ball straight up and catch it as it comes down. Ask students what force caused the ball s direction to change. The answer, of course, is gravity. This may lead to a discussion that not all forces come from obvious sources like a wall or a bat, but may be action at a distance, like gravity or magnetism. Gather a selection of balls which are roughly the same size, but very different masses. For example, you might have a small beachball and a basketball, or a whiffleball and a softball. Given what you know about Newton s Second Law of Motion (F=ma), you would expect to apply a greater force to kick the basketball than you would need to kick the beachball the same distance. Furthermore, Newton s Third Law of Motion tells you to expect the basketball to exert a larger force on your foot than the beachball would exert. Have your students kick the balls and find out. Tell them that if they feel a force, it is because one is being exerted on them by the ball, not because they are exerting one on the ball! Alternately, in the case of a softball and whiffleball, Newton s Second Law tells us that the softball (which has greater mass) will generate a greater force as it falls than will the whiffleball. Remember that in this case of F=ma, a is the acceleration due to gravity and is a constant for both balls. Have your students take turns dropping the softball at least one meter into the hand of another student. Next, have them drop the whiffleball from the same height. Ask them what they felt. Ask which ball required their hand to exert the most force in order to stop the fall. The sensation in their hands will give them the answer! Have a student sit on a skateboard (facing one end of the board) with his or her legs up off the ground. Throw a basketball to the student. Ask the student to catch the ball against his or her body, and not by stretching out their arms. Someone should stand behind the student to stop the skateboard from rolling too far. Next, tell the student on the skateboard to throw the basketball to someone standing directly in front of them. What happens? To continue the activity, have a student stand on the skateboard. Ask him or her to jump or step off one end of it. What happens to the skateboard as a result of this action? Try variations of this activity. Throw the basketball harder then softer. Throw a ball of greater then lesser mass. How do these changes affect the rolling of the skateboard? What if the skateboard is on carpet or a tile or wooden floor? How does friction come into play?

5 Student Activities Students: These activities will help you learn all about Newton s Third Law of Motion. Use the notebook, which you have designated as your Newton s Lawbook, to take notes, track your progress, and evaluate findings from the experiments you will conduct. Start by writing down Newton s Third Law of Motion. Newton s Third Law of Motion For every force, there is an equal and opposite force. Activity #1: A Day at the Races In this experiment you will create a balloon rocket! You will figure out how to shoot the balloon from the back of your classroom and hit the blackboard with it at the front of the room. You will do this using a fishing line as a track for the balloon to follow. Materials You will need the following items for this experiment: balloons (one for each team) plastic straws (one for each team) tape (cellophane or masking) fishing line, 10 meters in length a stopwatch a measuring tape Procedure This is a race. The race will be timed and a winner determined. straw balloon 1. Divide into groups of at least five students. 2. Attach one end of the fishing line to the blackboard with tape. Have one teammate hold the other end of the fishing line so that it is taut and roughly horizontal. The line must be held steady and may not be moved up or down during the experiment. 3. Have one teammate blow up a balloon and hold it shut with his or her fingers. Have another teammate tape the straw along the side of the balloon. Thread the fishing line through the straw and hold the balloon at the far end of the line. 4. Assign one teammate to time the event. The balloon should be let go when the time keeper yells Go! Observe how your rocket moves toward the blackboard.

6 5. Have another teammate stand right next to the blackboard and yell Stop! when the rocket hits its target. If the balloon does not make it all the way to the blackboard, Stop! should be called when the balloon stops moving. The timekeeper should record the flight time. 6. Measure the exact distance the rocket traveled. Calculate the average speed at which the balloon traveled. To do this, divide the distance traveled by the time the balloon was in flight. Fill in your results for Trial 1 in the Table below. 7. Each team should conduct two more races and complete the sections in the Table for Trials 2 and 3. Then calculate the average speed for the three trials to determine your team s race entry time. Distance (cm) Time (sec) Speed (cm/sec) Trial 1 Trial 2 Trial 3 Average: The winner of this race is the team with the fastest average balloon speed. Think About It 1. What made your rocket move? 2. How is Newton s Third Law of Motion demonstrated by this activity? 3. In your Newton s Lawbook, draw pictures using labeled arrows to show the action and reaction forces acting on the inside of the balloon before it was released and after it was released. Things to Discuss Remember, Newton s Third Law of Motion says that whenever one object exerts a force on another object, the second object exerts an equal and opposite force on the first object. However, note that the two forces do not act on the same object. Sir Isaac Newton recognized that all objects are covered by his Laws of Motion. This includes objects with a mass that changes, even though these situations are less common. One example of this changing-mass situation is a rocket, which loses fuel and other matter as it travels. Rockets are perfect for space travel because they carry their fuel and oxygen with them. In fact, most of the mass of an unlaunched rocket is in the form of fuel and oxidizer. In space, the burning fuel is ejected from the rear of the rocket. This action produces a reaction force on the rocket body and propels it forward. Note that there is no need for air to push against the rocket for it to work. Newton s Third Law of Motion assures us that ejection of an object from a system must propel the system in the opposite direction (the ejected fuel goes one way, the rocket goes the other). This propulsive force is referred to as the thrust of the rocket.

7 Activity #2: Reacting to Action Newton s Third Law of Motion makes sense when you think about it in connection with his first two laws. The First Law says an object remains at rest or moves in a straight line at a constant speed unless acted on by an outside force. The Second Law says an object acted on by an outside force experiences an acceleration (in other words, a change in its speed or direction of motion). The Third Law says for every force there must be some sort of reaction force. Think about what happens when you hit a nail with a hammer. It is clear that the hammer exerts a force on the nail. But since the hammer motion was stopped (it did not drive the nail through the wall and keep on going indefinitely at a constant speed), the nail must have exerted a force back on the hammer in order to stop its motion. Let s think about some of the forces we experience every day and how they might be explained in terms of Newton s Third Law of Motion. Materials You will need the following items for these experiments: Experiment 1: one rubber ball Experiment 2: two doughnut magnets; a small plastic toy car or truck; 10 cm of thread; tape or glue Experiment 3: a wooden block; a bucket of water Procedures Perform the following activities. In your Newton s Lawbook, describe what you did and what you observed. Then write your answers to the questions that follow. 1. Drop a rubber ball from a height of one meter. Catch it when it bounces back up to its maximum height. Name the force which caused the ball to start moving. What must have happened in order for the ball to bounce back to your hand? After the ball bounces and starts to move upward, what happens to its motion? Why? Discuss your observations in terms of Newton s Third Law of Motion. 2. With tape or glue, attach a doughnut magnet to the back of a small plastic toy car or truck. Slowly bring the other magnet close to the back of the vehicle until the vehicle starts to roll forward (the magnets should be of similar polarity, meaning that they repel each other). Quickly pull away the magnet in your hand and let the car roll to a stop. What force made the car move? What force made it stop? Describe all of the action/reaction pairs in this case and draw a diagram to illustrate them. Next, suspend a magnet from a 10 cm length of thread. Hold the end of the thread and bring the hanging magnet toward the back of the vehicle (again, the magnets should be of similar polarity). Describe what happens this time and why. How does this relate to Newton s Third Law of Motion? 3. Place a wooden block in a bucket of water so that it floats. Push the block down into the water and release it. What happens? Why? What do you notice if you push the block down to greater and greater depths in the bucket? How can you explain this in terms of forces?

8 Notes to Teachers Activity #1: A Day at the Races The air inside the balloon rocket pushes on the rocket, sending it forward. But at the same time the rocket (balloon) is pushing back on the air inside it! This is what accounts for the air coming out the back. Many students will have difficulty with this concept. The air outside the balloon pushes on the wall of the balloon, forcing out the air inside the balloon. Newton s Third Law explains why the air coming out the back causes the balloon to move forward. A common misconception is that the forward movement is due to the molecules rushing out the rear of the balloon and pushing on the outside air molecules. Activity #2: Reacting to Action 1. When the ball is dropped, the force of gravity causes it to move and drop toward the ground. The floor exerts a force on the ball to make it change its direction of motion and move back up. As it travels upward, the ball slows down. This is because the force of gravity is now acting on it in the direction opposite to its motion. If we think about this in terms of Newton s Third Law, we would say that the floor exerts an equal and opposite force on the falling ball, so it stops the fall of the ball and then provides and upward acceleration of magnitude g to the ball. Without a loss of energy when it bounces (for example when using a superball), the ball would bounce back up to the same height from which it was originally dropped. 2. Magnetic force is what starts the toy vehicle moving. Make sure your students understand that, just like with gravity, magnetism is a force that acts at a distance. In other words, direct contact between the objects is not necessary. Point out to your students that it is their hand that pushes the magnet forward and it is the magnetic force between the magnets that causes the toy vehicle to move. Once the magnetic force is removed, the car would (according to Newton s First Law) continue to move indefinitely in a straight line at a constant speed. But it doesn t, it slows down and stops. It experiences a negative acceleration, or deceleration. According to Newton s Second Law, for deceleration to take place a force must be applied. In this case, it is the force of friction between the vehicle s wheels and the table top or floor and between the vehicle s body and the air which caused the vehicle to change its motion. In the second part of the experiment, with the magnet hanging from a thread, students will discover a different result. (Make sure your students orient the magnets so that they repel each other.) As you slowly bring the suspended magnet closer to the magnet on the vehicle, the magnet on the thread will be pushed backward with a force equal to the force it is exerting on the vehicle. The vehicle may move forward a little, or may not move at all, depending on the weight of the vehicle and the type of surface it is trying to roll on. But the magnet on the thread will definitely be pushed backward, away from the vehicle. Students may have felt this force in their hand on the first trial, although they may not have realized its significance.

9 3. It is the buoyant force which causes the block in the bucket to rise to the top of the water and float. The pressure of the liquid increases with depth. Therefore, the upward force of the water on the bottom of an object is greater than the downward force of the water on the top of the object. Objects only sink if their weight is larger than the net upward force of the water (recall that weight is the force equal to the object s mass times the acceleration due to gravity). Note that it is harder to push the block deeper into the bucket because the force of the water increases with depth. How can you tell? You can feel the block pushing harder on your hand as you try to push it deeper into the water. Have your students try to push the block to various depths using only one or two fingers. The results become very clear! National Science and Mathematics Standards for the Newton s Laws Materials PHYSICAL SCIENCE (Grades 5-8, 9-12) Motions and Forces UNIFYING SCIENCE CONCEPTS AND PROCESSES Systems, order, and organization Evidence, models, and explanation Change, constancy, and measurement SCIENCE AS INQUIRY Understanding of scientific concepts Understanding of the nature of science Skills necessary to become independent inquirers about the natural world ALGEBRA (Grades 6-12) Understand patterns, relations, and functions Represent and analyze mathematical situations Use mathematical models GEOMETRY (Grades 6-12) Use geometric modeling to solve problems MEASUREMENT (Grades 6-12) Understand and use measurable attributes of objects Apply appropriate techniques, tools, and formulas DATA ANALYSIS (Grades 6-12) Select, create, and use appropriate graphical representations of data Develop and evaluate inferences and predictions that are based on data

10 MATHEMATICS PROCESS STANDARDS Reasoning Problem Solving Representing Mathematical Relationships Connections to Science and the Outside World Communication of Mathematics and Science Acknowledgments Creators: Kara Granger, Maria Carrillo High School, California Laura Whitlock, NASA s Swift Mission, California Science and Education Reviewers: Thomas C. Arnold, State College Area High School, Pennsylvania Margaret Chester, The Pennsylvania State University, Pennsylvania Alan Gould, Lawrence Hall of Science, California Bruce H. Hemp, Ft. Defiance High School, Virginia Derek Hullinger, University of Maryland, Maryland James Lochner, NASA Goddard Space Flight Center, Maryland Jane D. Mahon, Hoover High School, Alabama Ann Parsons, NASA Goddard Space Flight Center, Maryland Original Artwork and Design: Aurore Simonnet, Sonoma State University, California Painting of Sir Isaac Newton by Enoch Seeman, 1726 Editor: Stacy Horn, San Francisco, California