Lab 4 - Motion in Everyday Life (1)

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University of New England *

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110L

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Physics

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Feb 20, 2024

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10

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Lab Assignment Sheet Motion in Everyday Life (Week 4) Model or Topic Explored: With what we’ve looked at so far in kinematics using the wheel and/or the accelerometer on the IOLab unit, we want to explore the kinematics of some everyday activity or a constructed activity in your home. Some examples are provided in the video if you are unsure of where to begin. We are looking for a description of the kinematics like either the constant velocity or constant acceleration particle. We will also have a discussion board to post your ideas and results. Digital pictures of the setup and experiment will be greatly appreciated. Name: Tanyitaku Tanyi Date: February 8,2024 Constants: A. Starting position B. Acceleration C. initial velocity D. slope of track E. direction of IO lab device Measurables: A. Position (x) o “Ry” – Feature on IOLab B. Time C. Instantaneous velocity (v) o “Vy” – Feature on IOLab PHYS 1010 – page 1
Lab Assignment Sheet Observables: Wheels on IO lab device Rolling down an incline Starts from rest. How fast/ slow Moves faster and faster. Problem Statement: How does postion and velocity depend on time when additional weight is added to the I 0 lab device? Prediction: We anticipate that, while maintaining constant acceleration, the velocity of the IO lab device will escalate more rapidly as extra weight is introduced. Experiment: Procedure ( list of steps with some detail): PHYS 1010 – page 2
Lab Assignment Sheet 1) Prepare an inclined plane with an angle ranging from 5 to 20 degrees. 2) Verify that the IOlab device is properly calibrated and connected to the dongle. Choose the wheel sensor option in the software. 3) Initiate the motion of the IOlab device in the positive y-direction, descending the inclined slope. 4) Collect data for both position and velocity, aiming for a minimum of 10 data points. 5) Repeat steps 3 and 4, but this time, add weight to the IOlab device. 6) Ensure the additional weight is securely attached to the IOlab device to prevent it from dislodging during motion. 7) Collect and graph data for the following scenarios: 8) IOlab device without added weight: 9) Experience a constant acceleration in the positive y-direction while descending the fixed slope. 10) Record position versus time and velocity versus time. 11) IOlab device with added weight: 12) Undergo constant acceleration in the positive y-direction while descending the fixed slope. 13) Record position versus time and velocity versus time. PHYS 1010 – page 3
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Lab Assignment Sheet Tools and Diagram of Apparatus: [In this section, please paste at least two digital photographs. One with you and your sign containing your name and the date of your experiment, and WZA at least one more of you with the items used in your experiment (preferably while doing the experiment).] PHYS 1010 – page 4
Lab Assignment Sheet Precautions and caveats: The incline of the plane should be carefully adjusted to avoid two extremes: if it's set too high, the IOlab device will roll down too rapidly, making it difficult to gather sufficient data. Conversely, if it's set too low, friction will impede the device's movement. Moreover, it's crucial to securely fasten the weight to the IOlab device to prevent any risk of it falling off, which could compromise the accuracy of the collected data. Data Table with Units: [In this section, you may paste a data table from MS Excel or generate a table within MS Word.] 1. Without weight PHYS 1010 – page 5
Lab Assignment Sheet 2. With weight Data Graphs: [In this section, you may paste graphs that you have generated in MS Excel.] 1. Without weight PHYS 1010 – page 6
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Lab Assignment Sheet 2. With weight Math Model(s): [Digital pictures or MS Word Equation Editor could be included if the equations cannot be easily typed.] Position vs time Upward facing parabola. Y x 2 Y = A * x2 + B * x + C y represents Ry = position and has units of meters A represents ½ the average velocity and has units of m/s2. X variable represents time in seconds PHYS 1010 – page 7
Lab Assignment Sheet B is the initial velocity in m/s c is the initial position and has unit of meters Our Equations: Without weight: y = 0.1472x2 + 0.6381x + 0.0423 With Weight: y = 0.1902x2 + 0.5205x + 0.0343 Summary: Velocity vs. time Linear relationship Y x y= m*x + b a. y represents V = velocity (m/s) b. m represents A = acceleration (m/s2) c. x represents T= time (s) d. b represents V 0 = initial velocity (m/s) Our Equations: Without Weight: y = 0.22x + 0.629 With Weight: y = 0.3199x + 0.5131 Summary: Slope = delta rise/ delta run Velocity= change in position/ change in time PHYS 1010 – page 8
Lab Assignment Sheet Diagrammatic Model: [Digital pictures or diagrams created within MS Word would be included here. 1. Without Weight With Weight PHYS 1010 – page 9
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Lab Assignment Sheet Verbal Representation: [Represent the results and the relationships between variables that you’ve found in words.] The lab aimed to investigate the influence of weight on velocity and/or position of objects. Our data analysis revealed an exponential relationship between position and time under constant acceleration. In the positive y- direction, as time progresses, position increases exponentially and positively. Additionally, velocity exhibits a positive linear increase with time in the positive y-direction. These findings align with previous lab results. One key aspect of interest was whether added weight affected position and/or velocity. While the equation for position remained relatively consistent across both scenarios, indicating that added weight had minimal impact on position, the results demonstrated that velocity increased notably when weight was added. This observation suggests that the higher gravitational force acting on the heavier object likely contributed to the elevated velocity of the cart. PHYS 1010 – page 10