Activity Detail

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Hooke's Law: The Rest of the Story
 


Activity Overview

Students study Hooke's Law. They explore the linear behavior of a spring as it is pulled downward and understand that stretch on a spring is directly proportional to the force applied to the end of the string. Students create scatter plots, calculate slopes, and discuss positive and negative slopes.

Before the Activity

  • Use TI Connect™ to download Vernier EasyData™ application
  • Connect the calculator to the CBR™
  • Place the meter stick on the back of two chairs, and hang the spring from the stick
  • Record the height at which the stick is placed
  • Hang the cup from the spring, and position the CBR under the cup
  • See the attached PDF file for detailed instructions for this activity
  • Print pages 59 - 70 from the attached PDF file for the class
  • Set up the calculator for data collection


  • During the Activity

    Distribute the pages to the class.

    Follow the Activity procedures:
  • Record the distance from the stick to the floor
  • Use the CBR, record the distance from the cup to the floor as the cup is filled with candy (use the data collected in Activity 7: Hooke's Law)
  • Calculate the distance from the stick to the bottom of the cup as candies are added
  • Set up a scatter plot for this distance from the meter stick to the bottom of the container vs. number of candies
  • Graph the data points and trace the plot
  • Calculate the difference in the distance between two trials, divide this value by 3, and find the average of these values to determine the slope
  • Use the slope and the Y-intercept value to find the regression equation to fit the data
  • Compare this equation with the one found for the scatter plot of the distance from the bottom of the cup to the floor in the activity 7
  • View the plot of distance from the cup to the floor versus number of candies and distance from the stick to the bottom of the cup versus number of candies, on the same screen
  • Understand slopes of both plots deal with a change in distance dependent upon a change in the number of candies
  • Positive slope indicates the distance from the stick increases as the number of candies increases and negative slope indicates the distance of the cup to the floor decreases as the number of candies increases
  • Point of intersection of the two lines is where the cup is equidistant from the stick and the floor


    After the Activity

  • Students analyze the results and answer the case analysis questions on the student worksheet.
  • 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:
    Science : Physics : Dynamics
    Math : Algebra I : Linear Equations and Functions

    Author:
    Texas Instruments

    Level:
    9-12

    Activity Time:
    60 Minutes

    Device:
    TI-83 Plus Family, TI-84 Plus Family

    Apps:
    EasyData™

    Software:
    TI Connect™

    Accessories:
    CBR™/CBR 2™, TI Connectivity Cable, Unit-to-Unit link cables

    Other:
    This is Activity 8 from the EXPLORATIONS Book:
    EasyData Activities: Modeling Algebraic Functions with Data Collection Activities.

    The following materials are required for this activity:

  • Small spring cut in half
  • Empty plastic cups
  • Two large paper clips or string
  • Meter stick
  • Yard stick
  • 30 Candies
  • Data from Activity 7: Hooke's Law


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