Activity Detail

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Forensics Case 6
Measuring Momentum: Using distance moved after impact to estimate velocity
 


Activity Overview

This activity introduces the concept of momentum as it applies to vehicle collisions. Students accurately gather data of collision of a vehicle with a stationary object, and establish a relationship between the distance an object moves after a collision with a vehicle and the momentum of the vehicle.

Before the Activity

  • Use TI Connect™ to download Vernier EasyData™ application
  • Connect the Dual-Range Force Sensor to Vernier EasyLink™ interface
  • Plug EasyLink into the USB port of the calculator
  • Set up the calculator and the Force sensor for data collection
  • To measure velocity connect CBR 2™ to the calculator
  • See the attached PDF file for detailed instructions for this activity
  • Print pages 50 - 57 from the attached PDF file for your class
  • Print sample data and student work pages


  • During the Activity

    Distribute the pages to your class.

    Follow the Activity procedures:
  • Plug the force sensor into EasyLink and plug EasyLink into the calculator
  • Hold the force sensor vertically with the hook pointing down
  • Hang the vehicle from the force sensor with the string or rubber band and find the weight of the vehicle
  • Convert the weight to mass
  • Weigh and calculate the mass of each book
  • Unplug the force sensor from the calculator and connect the CBR 2 to the calculator

  • Set up the ramp and place a book at the base of the ramp
  • .
  • On the ramp, mark various distances from the base
  • Place the CBR 2 at the top of the ramp with at least 25 cm between the CBR 2 and the rear of the vehicle
  • Place the vehicle at a particular mark on the ramp and release it
  • Take readings with the help of the CBR 2 as the car collides with the book
  • Measure the velocity of the vehicle
  • Measure the distance moved by the book
  • Repeat the activity using a lighter book and different starting points for the vehicle
  • Calculate the average momentum of the vehicle at impact for each average distance the book moved
  • Plot a graph of distance versus momentum for the heavier book and another graph for the lighter book
  • Determine the equation for the straight line that fits the data best
  • Extrapolate the equation for the accident scene and use the distance moved by the van to find the momentum and velocity of the car at the point of impact


    After the Activity

    Students analyze the results and answer the case analysis questions.

    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
    Science : Forensics : Data Analysis

    Author:
    Texas Instruments

    Level:
    9-12

    Activity Time:
    60 - 100 Minutes

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

    Apps:
     

    Software:
     

    Accessories:
    Sensor - Dual Range Force, TI Connectivity Cable, Unit-to-Unit link cables

    Other:
    This is Activity 6 from the EXPLORATIONS Book:
    Forensics: Connecting Science Investigations with TI Data Collection Activities.

    The following materials are required for this activity:

  • Dual-Range Force Sensor
  • Vernier EasyLink™
  • Clamp or heavy tape
  • 1.5 m (or longer) ramp of strong cardboard or wood
  • Meter stick
  • 25 cm (or higher) support for ramp
  • Masking tape
  • 450-500 g vehicle about 7 cm tall
  • Book, 5-7 cm thick
  • Book, 2 cm thick
  • String or wide rubber band


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