PHYS 1301 Lab 1

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University of Minnesota-Twin Cities *

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1301

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Physics

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Dec 6, 2023

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xlsx

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3

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Time Position Position Uncertainty Velocity (Vernier) Velocity (Calculated) Time Step (s) t (s) x (m) σ_x (m) v_V (m/s) v_c (m/s) 0.333775 0 0 0.1 0.2151517476123 0 0.333775 0.049527 0.1 0.2918232944978 0.14838558438188 Slope (m/s) 0.66755 0.1793 0.1 0.3599887635472 0.388803935722916 0.35 1.001325 0.308973 0.1 0.3797329483475 0.388503117165499 1.335099 0.437949 0.1 0.3832602360502 0.386415610661646 Intercept (m) 1.668874 0.563942 0.1 0.3828985731342 0.377481141992142 0 2.002649 0.69175 0.1 0.3876775141086 0.38291678351644 2.336424 0.822666 0.1 0.3928336942749 0.392227174857938 2.670199 0.954875 0.1 0.3960363856114 0.396101341975654 3.003974 1.087975 0.1 0.3978160041871 0.398773502508305 Uncertainty in velocity from position plot (m/s) 0.05 Questions: 1) Is it better to have the camera near the setup for a close-up view, or further back? As close as possible to see the entire meter stick. 2) Considering your calibration precision, what would you estimate the uncertainty in your 0.1m 3) Even though you are only clicking on positions, the VVA software also provides the veloc Using the scale you set compared with how far it moved from the last point 4) Compare this slope to the velocity you found using your stopwatch to time the motion o They are very similar but ours starts at 0 and the Vernier one starts at 0.22 5) What is the value for the velocity uncertainty (using this method) for your experiment? .05 m/s 6) Using this relationship, what is the uncertainty in the velocity over a given time step? 0.05 m/s, same because position and velocity are constant 7) How does this compare with the uncertainty you found from fitting the position plot? It is smaller 8) Why is the uncertainty from fitting the position data so much smaller than the uncertain 9) If someone asked you what the uncertainty of the velocity of this car is, what would you
Theoretical Values 0 0.116821192053 0.233642384106 0.3504635761589 0.4672847682119 0.5841059602649 0.7009271523179 0.8177483443709 0.9345695364238 1.0513907284768 r distance measurements to be? city of the car as a function of time. How does it do this? of the car a known distance. How do they compare? nty found from using error propagation? u tell them? 0 0.33377 4834437085 0.66 75 49668874 172 1.00 13 245033112 5 1.33 50 9933774834 1.66 88 7417218543 2.00 26 49006622 51 2.3364 238410596 2.67 01 9867549668 3.00 39 73509933 77 0 0.2 0.4 0.6 0.8 1 1.2 Position vs Time Theoretical Values Position Time (s) Position (m)
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