Activity Detail

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


Activity Overview

In this activity, students' will use a force sensor and a motion detector to study the relationship between the force applied to a rubber band and the distance to which it stretches. They will then model force versus strech data with a proportional relationship.

Before the Activity

  • Connect the force sensor to Channel 1 on the CBL 2™ or Vernier LabPro®
  • Connect the motion detector to the DIG/SONIC port of the CBL 2 or the DIG/SONIC 1 port of the LabPro
  • Connect the CBL 2 or LabPro to the calculator using the Unit-to-Unit cable
  • See the attached PDF file for detailed instructions for this activity
  • Print pages 81 - 88 from the attached PDF file for your class


  • During the Activity

    Distribute the pages to your class.

    Follow the Activity procedures:
  • Prepare the force sensor and motion detector for data collection
  • Stretch and relax the rubber band
  • Use the force sensor and measure the force of the pull
  • Use the motion detector and record the amount the rubber band is stretched
  • Plot graphs of force versus time and distance versus time
  • Graph force versus distance
  • Plot the line of proportionality with different values for the slope and find the line that provides a good fit for the data
  • Calculate the value of the slope from the equation and compare the values
  • Do a linear regression on all the data points and determine the regression line equation


    After the Activity

    Students' will fill in the Student Data Collection and Analysis Sheet and answer the questions listed in it.

    Review student results
  • As a class, discuss questions that appeared to be more challenging
  • Re-teach concepts as necessary


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    Subject Area:
    Math : Algebra I : Linear Equations and Functions

    Author:
    Texas Instruments

    Level:
    9-12

    Activity Time:
    60 Minutes

    Device:
    TI-73 Explorer™, TI-83 Plus Family, TI-84 Plus Family

    Apps:
    DataMate, EasyData™

    Software:
    TI Connect™

    Accessories:
    CBL™/CBL 2™, CBR™/CBR 2™, Sensor - Dual Range Force, Sensor - Motion Detector, TI Connectivity Cable, Unit-to-Unit link cables, Vernier LabPro®

    Other:
    This is Activity 9 from the EXPLORATIONS Book: Real-World Math Made Easy.

    The following materials are required for this activity :

  • Ring stand
  • One long rubber band


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