Stretch It to the Limit - The Linear Force Relation for a Rubber Band

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. x and y are related by the constant K in the equation

y = Kx

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 much a rubber band has stretched, we will use the stretched length of the band minus the relaxed length of the band.

Objectives

  • Record force versus stretch data for a rubber band.
  • Model force versus stretch data with a proportional relationship.

Sensors and Equipment

This activity 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?

Download Experiment Preview

The student-version preview includes:

  • Step-by-step instructions for computer-based data collection
  • List of materials and equipment

Note: The experiment preview of the computer edition does not include essential teacher information, safety tips, or sample data. Instructions for Logger Pro and other software (such as LabQuest App or TI handheld software, where available) are on the CD that accompanies the book. We strongly recommend that you purchase the book before performing experiments.

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Experiment 8 from Real-World Math with Vernier Lab Book

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