Stretch It to the Limit - The Linear Force Relation for a Rubber Band
Recommended for grades 9–12.
Introduction
When a force is applied to a rubber band, it stretches a certain amount. Exactly how much it stretches depends on the applied force and the characteristics of the rubber band. In general, the more force that is applied, the more it stretches. For rubber bands that are not stretched too much, if you double the force applied, it turns out that the stretch doubles as well. Two quantities, x and y, that change in this way are said to be proportional. The proportional quantities x and y are related by the constant K in the equation
In this activity you will use a Force Sensor and a Motion Detector to investigate the relationship between the force applied to a rubber band and the distance that the rubber band stretches. To measure how a rubber band has stretched, we will use the stretched length of the band minus the relaxed length of the band.
Objectives
- Record force vs. stretch data for a rubber band.
- Model force vs. stretch data with a proportional relationship.
Sensors and Equipment
This experiment requires each of the following Vernier sensors and equipment (unless otherwise noted):
Additional Requirements
You may also need an interface and software for data collection. What do I need for data collection?
Standards Correlations
See all standards correlations for Real-World Math with Computers »
Included in the Lab Book
Vernier lab books include a CD with word-processing files of the student instructions, essential teacher information, suggested answers, sample data and graphs, and more.