Copy of Lab 4 - Momentum and Impulse - Rubric

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University of Massachusetts, Amherst *

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Electrical Engineering

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Feb 20, 2024

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Lab 4 - Momentum and Impulse - Rubric [35 points total] 1. [3 points] Use the Analysis Tool and select a range of data to calculate the average acceleration and force on the iOLab. Take a screenshot and paste here. Excellent Good Needs work Poor Screenshot present with graphs properly scaled and correct Analysis Tool results visible. 3 points Screenshot present with minor error graphs scaled OR minor error Analysis Tool results. 2 points Screenshot present with major error graphs scaled AND major error Analysis Tool results. 1 point Screenshot missing or nonsense screenshot. 0 points 2. [2 points] Record the average ( ) +/- uncertainty ( ) for both the acceleration and force in the table below.
Acceleration (m/s 2 ) Force (N) -9.806 +/-0.17 -1.959 +/-0.032 Excellent Needs work Poor Correct values of average ( ) and uncertainty ( ) are present in the table. 2 points Missing or nonsense value of average ( ) OR uncertainty ( ) in the table. 1 point missing or nonsense values. 0 points 3. [1 point] Use your values from question 2, and calculate the mass of the iOLab. Record your value here: iOLab Mass (kg) +/-0.200 Excellent Poor Correct value is present in the table. 1 point missing or nonsense values. 0 points 4. [1 point] Use Eqs (2) and (6) to derive an algebraic expression relating the impulse to the change in velocity. Show your work. P = mv J = ∆p J = pi + pf J = mfvf - mivi Mf = mi J = m(vi - vf) Excellent Poor
Correct algebraic expression relating the impulse to the change in velocity. 1 point missing or nonsense algebra. 0 points 5. [3 points] In the graph of Force vs. time, what feature (peak value, slope, or area) represents the impulse? Explain your answer as it connects to Eq. (5). In the graph force vs. time the area represents the impulse. It can also be stated that impulse is represented by the area under the curve. This connects to equation 5 because the impulse is equal to the integral of net force. This correlates to the graph as we are talking about impulse and force vs. time. Excellent Good Needs Work Poor Correctly explains the area related to impulse and clearly connects it to Eq. (5) 3 points Incorrectly explains the area related to impulse OR unclearly connects it to Eq. (5) 2 points Incorrectly explains the area related to impulse AND unclearly connects it to Eq. (5) 1 point incoherent or missing. 0 points 6. [10 points, 1 point per recorded measurement] Record your measurements of impulses and velocities before and after the collision in the Google Sheet Lab 4 - Momentum and Impulse - Student Copy. Refer to Sheets: https://docs.google.com/spreadsheets/d/1BEmjZhly8MjtRgMXo9YUT3XLs_a0p3J9ORSn3ezmB 1M/edit#gid=347569554 7. [2 points] Calculate the change in velocity in the spreadsheet: a. In cell C2 enter the equation =B2-A2. b. Use the autofill to complete the rest of the calculations. Refer to Sheets: https://docs.google.com/spreadsheets/d/1BEmjZhly8MjtRgMXo9YUT3XLs_a0p3J9ORSn3ezmB 1M/edit#gid=347569554 Excellent Poor
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Correct value is present in the spreadsheet. 2 points missing or nonsense values. 0 points 8. [3 points] Make a scatter plot of impulse vs. change in velocity. a. Click on the top of the column with Delta v (m/s) values (Column C). b. Press and hold the Ctrl key and click on the top of the column with the Impulse (Ns) values (Column D). c. Release Ctrl key and open the Insert menu and select Chart. d. The Charter Editor will open. In Setup choose Chart Type > Scatter Chart, e. Make sure X-axis indicates Delta v (m/s) f. Make sure the Series indicates Impulse (Ns). If Delta v (m/s) is in the Series remove it. g. In Customize > Chart & axis titles add axes titles with units to your graph. h. Copy and paste your plot into this document below here: Excellent Good Need Work Poor Complete and correct graph with correct axis labels/units. Mostly Correct graph with axis labels/units. Minor errors or missing features. Incomplete graph with major error or missing features. Incorrect graph or missing.
3 points 2 points 1 point 0 points 9. [3 points] Look closely at your graph of impulse vs. change in velocity and you will see it should be linear. What does the slope of impulse vs. change in velocity represent? Hint: look back at your answer to question 4. In this graph impulse vs. change in velocity, the impulse experienced by an object is force * time. The velocity change of an object is mass*velocity*change. In the equation from question 4, J = m(vi - vf) relates to a change in velocity and how impulse equals the change in velocity. Excellent Good Needs work Poor Clearly identifies the relationship between impulse and change in velocity and connects the relationship to answer to question 4. 3 points Identifies the relationship between impulse and change in velocity with minor inconsistencies connecting the relationship to answer to question 4. 2 points Inconsistency Identifying the relationship between impulse and change in velocity with major inconsistencies connecting the relationship to answer to question 4. 1points Not attempted or unclear rambling. 0 points 10. [2 points] Use the built in function LINEST to determine the best slope of impulse vs. change in velocity. a. In an empty cell G2 enter =LINEST(range of y,range of x,1,1). b. The range of y should be the range of cells with impulse in Column D. c. The range of x should be the range of cells with change in velocity in Column C. Refer to the second page (Elastic Collision) in the spreadsheet. https://docs.google.com/spreadsheets/d/1BEmjZhly8MjtRgMXo9YUT3XLs_a0p3J9ORSn3ezmB 1M/edit#gid=347569554 Excellent Needs work Poor Correctly uses LINEST(). 2 points Incorrectly uses LINEST(). 1 point Missing or nonsense calculation. 0 points 11. [1 point] Calculate the t-score for your measured value of the radius. Your calculation should be done in your spreadsheet. Remember the t-score should be a positive number, so use the function ABS( - ) in your calculation.
t-score 1.000583228 12. [1 point] Calculate the probability using =T.DIST.2T( , ) using your values of the t-score and . p-value 0.3463280903 13. [3 points] Compare the mass you measured for question 3 with the best fit slope you found from the LINEST analysis in question 10. Do the two values agree with each other? Explain your reasoning. Yes they do, the mass in question 3 is 0.200 and the value lineast analysis is 0.208. These two numbers are similar so this shows that both the values agree with each other. Excellent Good Needs work Poor Clear and complete comparison of the two measurements of mass and explanation of agreement/disagree ment with each other. 3 points Unclear OR incomplete comparison of the two measurements of mass OR explanation of agreement/disagree ment with each other. 2 points Unclear AND/OR incomplete comparison of the two measurements of mass AND/OR explanation of agreement/disagree ment with each other. 1points Not attempted or unclear rambling. 0 points
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