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Activities may be standalone, or part of lessons or curricular units.

TE Activity: Physics Tug of War

Summary

In this activity, students will learn about Newton's 2nd Law of Motion. They will learn that the force required to move a book is proportional to the weight of the book. Engineers use this relationship to determine how much force they need to move an airplane.

Engineering Connection

Engineers use their understanding of Newton's laws of motion when designing objects that move. Newton's second law states that the force required to move an object is proportional to the mass of that object. Engineers apply this relationship when designing airplanes; the heavier the airplane, the more force it requires to move. To create a larger force requires more fuel, which is more expensive and harmful to the environment.

Contents

  1. Learning Objectives
  2. Materials
  3. Introduction/Motivation
  4. Procedure
  5. Attachments
  6. Safety Issues
  7. Troubleshooting Tips
  8. Assessment
  9. Extensions
  10. Activity Scaling

Grade Level: 5 (4-6) Group Size: Not defined
Time Required: 40 minutes
Activity Dependency : None
Expendable Cost Per Group : US$ 1
Keywords: airplanes, mass, force, Newton's 2nd Law of Motion, weight, motion
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Related Curriculum

Educational Standards    

  •   Colorado Math
  •   Colorado Science

Learning Objectives (Return to Contents)

After this activity, students should be able to:

  • Understand that the force needed to accelerate an object is proportional to its mass and weight.
  • Relate distance traveled to weight and mass.
  • Define Newton's 2nd Law of Motion.
  • Explain how Newton's 2nd Law applies to airplanes.
  • Explain how weight affects Newton's 2nd Law.
  • Analyze data using a chart.
  • Find averages and communicate the reasoning behind their answers.

Materials List (Return to Contents)

Each group should have:

  • 15-20 extra large, heavy paper clips
  • 6-7, 6" rubber bands (or 10-15 small rubberbands)
  • 3 hardcover books about ½ inch thick (note: books should be identical for each group — encyclopedias, dictionaries or math books work well)
  • 1 yardstick
  • masking tape (optional; class may share)

Introduction/Motivation (Return to Contents)

Newton's 2nd Law of Motion uses a mathematical equation to say that the force needed to move an object is proportional to the object's mass. This means that if a person who is 100 pounds pushed off of a person who is 200 pounds (twice as heavy), then the person who weighed 100 pounds would accelerate backwards twice as fast. If the second person was ten times heavier than the first, then the person who weighed 100 pounds would accelerate backwards ten times as fast. Can you think of any time that this has happened to you? How about on the playground? If you throw a tennis ball and a basketball with the same amount of force, which can you throw father? (Answer: tennis ball)

Engineers have to consider the weight and mass of an object when they are designing it. This is especially important for airplanes because the airplanes are much heavier than the air molecules that they are pushing against. This means that the airplanes have to push A LOT of air.

Before the Lesson

  • You may want to try the activity ahead of time. The experiment can take some fine-tuning. Make sure that the books are light enough to allow the side with 2 books to move in the latter part of the experiment. If the books are too heavy, the stack of two books will not move at all.
  • Gather materials for student groups.

With the Students

  1. Using four paper clips and two 6" rubber bands (or a chain of smaller rubber bands 6-10" long), attach a rubber band/paper clip sling to each of two books (see Figure 1 for example of how to configure sling). Bend the free end of each paper slip to make a right-angled hook. Insert each hook into the book's spine, or using masking tape, tape the hooked paper clip to the outside bookend. The object is to have the rubber bands pull the books toward each other.

A picture of two paper clips that are each attached to rubber bands. Each free end of the paper clip is bent at a right angle and is then slipped into the ends of the spine of a textbook.
Figure 1. A textbook attached to rubber bands.
click for copyright

  1. Place the experimental setup on a smooth surface, such as a wood table or laminate (or other) countertop.
  2. Lay down the yardstick in front of the books (see Figure 2) so you can see where the books are located in relation to one another; they should be 6-10" apart.

A picture shows two books attached together with a sling-type setup made with rubber bands and paperclips. A ruler is in place to measure the movement of the books before and after the books are pulled apart.
Figure 2. The experimental setup of the books.
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A picture of a student holding two books apart, just before they are released.  The books are attached to one another via a sling-type setup made with rubber bands and paper clips.
Figure 3. The experiment: pulling the books apart.
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  1. Pull the books apart a few inches (see Figure 3). Read the numbers on the yardstick that correspond to the inside edges of each book (the area spanned by the rubber band slings). Have the students record this number on their activity worksheet.
  2. Now let the books go. They should move the same distance towards each other.
  3. Record the position on the worksheet where the books collide or come to rest.
  4. Repeat steps 4-6 three trials (i.e., three times).
  5. Stack two books on top of one of the books being measured, and run the experiment three more times. If there are twice as many books on one side, the lighter side should move twice as far as the heavier side.
  6. For each experiment, have the students subtract the initial position of each book relative to the final position of the books. The distances should be nearly proportional to the weight of each stack of books. A stack of two books will move only1/2 the distance of the single book.

Tell students that this activity demonstrates Newton's 2nd Law of Motion: the force required to move an object is proportional to the mass of the object. In the activity, the stretched rubber bands pull on both books equally, and both books move towards each other equally (assuming they are the same weight) when the rubber bands are released. When one book is stacked higher (with two books total), the pulling force only moves the stack half as far as the single book. Large airplanes weigh a lot and, therefore, require a large force to move them.

Safety Issues (Return to Contents)

Tell students to be careful not to place their hands in between the sliding books, as they could get pinched. Books should not be pulled so far apart that the rubber bands break or the books are sent flying.

Troubleshooting Tips (Return to Contents)

If using multiple small rubber bands, it is important to use the same number and sequence of rubber bands in each chain so that they pull with the same force.

Ensure that the paper clips are secured to the book so that they remain in place when the rubber bands are stretched. In addition, caution students not to pull the rubber bands too far because they will pull the paper clips out of the books.

It helps to use the same size books if possible. Books that come in sets, like condensed journals or encyclopedias, work well for this activity.

Pre-Activity Assessment

Voting: Ask a true/false question and have students vote by holding thumbs up for true and thumbs down for false. Count the number of true and false, and write the number on the board. Give the right answer.

  • True or False: Most airplanes are made from steel. (False, aluminum)
  • True or False: Newton's 2nd Law of Motion states that a heavy object requires a greater force to move than a lighter object. (True)

Activity Embedded Assessment

Worksheet: Have the students record measurements and answer questions on their Physics Tug of War worksheet. After students have finished their worksheet, have them compare answers with their peers. Discuss as a class.

Post Activity Assessment

Student-Generated Questions: Have each student come up with one question of their own to ask the rest of the class. Be prepared to help some students form a question. Have students take turns asking their questions to the class.

Roundtable: Have students form teams of 3-5. Ask the class a question with several possible answers. Students on a team make a list, each one writing an answer and passing the paper on to the next person. Have the teams share their responses with the class

  • Have the students come up with a class list of situations that demonstrate Newton's 2nd Law. (The force needed to move an object is proportional to the object's mass.) Can they think of any examples that show this Law at home? In the playground? At School?

Activity Extensions (Return to Contents)

This suggestion is good if small scooters, like the square kind used in gym class, are available. Have the students sit on the scooters and push off of each other with their feet. They will see how larger students will not go as far as smaller students. Care should be taken in this activity because kids could fall off of the scooters and hurt themselves if they lose their balance or push off too hard.

Activity Scaling (Return to Contents)

  • For younger students, you may need to do the math for them on the board first before they try to do the division on their own to help them understand the problem.
  • Older students may be given a problem where they know the mass of two objects pushing off of each other and the distance that one of the objects moves. They then use this information to solve the distance the other object moved.

Owner (Return to Contents)

Integrated Teaching and Learning Program, College of Engineering, University of Colorado at Boulder

Contributors

Tom Rutkowski, Alex Conner, Geoffrey Hill, Malinda Schaefer Zarske, Janet Yowell

Copyright

© 2004 by Regents of the University of Colorado.
The contents of this digital library curriculum were developed under a grant from the Fund for the Improvement of Postsecondary Education (FIPSE), U.S. Department of Education and National Science Foundation GK-12 grant no. 0226322. However, these contents do not necessarily represent the policies of the Department of Education or National Science Foundation, and you should not assume endorsement by the federal government.


Last Modified: May 24, 2007
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