if instead of releasing the cart
if instead of releasing the cart
NEWTON'S LAW PROCEDURE: 1. Alach the hook and flag to the cart and measure the mass of the carthook tag object using the electronic Scale Measure the length of the flag a. Mass of cathookefag (M 198. So b. Mass of hanger (M ) - 5 grams c. Length of flag (L) 2. Turn the air up to its maximum level and adjust the track so that when you release the cart from restit dritts as little as possible 3. Adach the pulley to the track and connect a string from the hook on the cart over the pulley. Attach the hanger to the string. See the diagram at right 4. Set up a photogate in Gate Mode at least 40 cm from the pulley 5. In this step only, add an additional 230 grams (M -230 grams) into the system as follows: Place one 10g plece on the hanger and place 110 grams on each side of the cartone 50g place, two 20 pieces, and two 10g pieces 6. Position the center of the cart 40 cm away from the photogate. 7. Release the cart from rest. After the cart passes through the gate, catch it so it doesn't slam into the end of the track, and also catch the hanging mass so it doesn't slam onto the floor Record the time for the flag to pass the gate in the table below, use this to calculate and record the velocity of the cart at the location of the gate, 8. Transfer two 10 g masses (one from each side) from the cart to the hanger and repeat steps (5) and (7) 9. Transfer two 10 g masses (one from each side to the hanger and repeat steps (5) and (7) 10. Transfer two 20 g masses (one from each side to the hanger and repeat steps (6) and (7) 11. Transfer two 20 g masses (one from each side) to the hanger and repeat steps (6) and (7). 12. Reposition the masses in the system so two 50 g, two 20 g, and one 10 g mass are on the hanger and the rest are distributed on each side of the cart. Repeat steps (6) and (7) 13. Transfer two 10 g masses (one from each side) to the hanger and repeat steps (6) and 433.5L M 14. Record the total mass in the system: MMM ... b S25L 0.2086 m2 = hanging mass = Marger + M e t s) vs (m/s) (m/s) (kg) 0.1236 0.015 10 20860 0 4794 0.135 AM 0.035 - To losoo 1.0.6061 0.055 016550 0.9479 0.095 10.785 o 1.2690 0.135 10.0660 1552 SOLO 0.155 0410 T. +34 0.175 05700 15. Use Excel to organize your data and calculations. For each trial, calculate the acceleration of the system using one or more appropriate kinematic equations. 16. Using Excel, make a plot of acceleration (y-axis) vs. m2 (x-axis) and display the equation of the trendine on the graph.
Deliverables, due at the beginning of class a week from when your experimentis perto • Alyped report (single document) detailing Your experimental observations, data, and calculations Your graph showing the trendline and its equation Your answers to the above questions The report should include the following in order: 1. An abstract of summary of your major findings (which you may find the pul to write 2 A discussion of the theory that supports your analysis: include a tree body diagram each for the cart and for the hanging mas. Use Newton's 2 Lapplied to each to obtain equations for the acceleration of the system and tension in the string, in terms of only the three variables and M(the total mass of the cart the mass placed on it). include a comparison of the acceleration equation you developed and the general form of the equation da linear relationship, show why you expect the graph you made in step 16 to bene. Use this comparison to express the theoretical expected) value of the slope of the graph made in step 16, in terms of g and M. Also, express the theoretical value of the y-intercept of that graph. 3. A list of the materials used in your experiment 4. A list of your experimental collaborators 5. The experimental procedure used in your experiment (in your own words) 6. A presentation of the data and calculations made in your experiment, including example calculations 7. A section discussing the results, including but not limited to Based on your discussion of the theoretical value of the slope of the graph you made in step 16, use the slope of Excel's trendline and the total system mass to obtain your experimental acceleration magnitude due to gravity. o Calculate the difference between your experimental value and the accepled' value of the acceleration magnitude due to gravity. o identify at least two experimental errors that help account for your percent error in question 3. For each error discuss in what way(s) you think the error would affect your calculation (eg, biggetlsmaller) and estimate by how much. You must identify specific reasons. Do not simply write "Human Error'; there are experimental errors lurking in the design and implementation of the experiment itself. (Note that "Human error actually means you didn't follow instructions, do the calculations correctly, or conduct the experiment carefully. But you DID do all those things!) Consider tracking expected experimental variation using the methods outlined in the Measurement Lab. 8. A section discussing the significance and/or applicability of this experiment and its results
if instead of releasing the cart if instead of releasing the cart
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if instead of releasing the cart if instead of releasing the cart
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