Lab 04 Records

docx

School

University of Cincinnati, Main Campus *

*We aren’t endorsed by this school

Course

2001L

Subject

Physics

Date

Apr 3, 2024

Type

docx

Pages

4

Uploaded by DukeGrasshopper4065

Report
Lab 04: Projectile Motion Challenge! I. Applying Mathematical Models for Projectile Motion a. Determine the position of the hoop and target: See image below b. Determine the size of the target: See image below l y f Y i = h v yi x target x i a y = -g x hoop h hoop t 0 m 0.935 m 0 m/s 0.7528m 0 m -9.8 m/s 0.5135m 0.5 m 0.44 s c. Drawing the target
d. Ready to launch. e. Answer the questions 1. The ball landed 0.7708m from the base of the table. The predicted range was 0.7528m ± 0.0273m 2. The ball hit within the target band. 3. The ball did pass through the hoop. 4. The ball hit within the target band 10/10 times. This is higher than the 68% expected based on the statistical interpretation of the uncertainties. This is likely because we rechecked the measurements of the hoop and target after each run. 5.
II. Final Wrap Up a. Explore factors which may impact the distance of a projectile. 1. Which three angles produce the longest range for a golf ball fired from a cannon at 18 m/s? Assume no air resistance. Be sure to provide the actual range data for these three angles. The three angles that produce the longest range for a golf ball fired from a cannon are 45° with a range of 33.02m, 44°, with a range of 33m, and 46°, with a range of 33m. 2. Which angle has the longest time of flight? 46° contains the longest time of flight, with 2.64 seconds in the air. 3. Consider the experiment completed in class today. i. If the ball were launched at an angle of 5o (to do this drag up on the cannon platform) instead of horizontally, would it go further, land at the same location, or land closer to the table leg? Justify your response using the PhET simulation. Simulate your lab setting by using your initial measured speed from lab or the closest you can get, and estimating the mass of the ball used in lab to be 0.01 kg (golf ball) and the diameter to be 0.01 m. If the ball were launched at an angle of 5 ° instead of horizontally, it would go farther. Using the PhET simulation with the initial speed as 2 m/s, a mass of 0.01kg, a diameter of 0.01 m, when the cannon is set to 0° it lands at 0.9m, and when it is set to 5°, it lands at 0.94m, therefore going farther. ii. Repeat the previous question but this time consider air resistance, which can be turned on or off in the simulation. If you do not see any difference at first, keep increasing the diameter until a difference is observed. Record the final value for the diameter which had a difference in range with and without air resistance. Considering air resistance as a factor, the golf ball landed at 0.93m when it was launched at an angle of 5 °, had an initial speed of 2 m/s, a mass of 0.01kg, and a diameter of 0.01 m. This is 0.01m less than the same experiment without air resistance as a factor, as it landed at 0.94m in the previous experiment. b. Summarize findings into a general conclusion.
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
  • Access to all documents
  • Unlimited textbook solutions
  • 24/7 expert homework help
Theoretical models and equations can function as a prediction in a lab setting where drag and other external factors are very minimal in small scale experiments. c. Cite the evidence that supports your claim. 1. Evaluate the data and any observed patterns or trends i. How confident are you that the calculated target range drawn on the paper was accurate? We are confident that the calculated target range drawn on the paper was accurate because the ball hit within the target band 10/10 times, which is 100% (higher than the 68% expected based on the statistical interpretation of the uncertainties). ii. How strong is the evidence which supports your general conclusion? We are confident with the strength of our data as the spread of the dots shows both accuracy and some precision. Most of the dots are grouped close together and all are within the target lines. d. Identifying contributing factors. Contributing factors that may have impacted the range of the projected ball include the angle of launch, the mass of the ball, diameter of the ball, air resistance, the force of gravity, and the levelness of the table. The levelness of the table or the ramp may have impacted the range of the projected ball as the ramp was wobbly, therefore we had to attempt to hold it at the same position each time. However, I do not think it had a significant impact on the results as they were consistently within the target range. Air resistance may have also impacted the results; however, it also likely did not have a substantial impact as the results were consistently within the target range. e. Identifying random uncertainties. If air resistance and the levelness of our lab table were the only factors affecting the range, all dots on the target would have been clustered very close together. In our case, they did get clustered extremely close to each other.