1. Read through the Measurements and Experimental Results: Uncertainty Analysis document found on your lab section's...

 

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1. Read through the "Measurements and Experimental Results: Uncertainty Analysis" document found on your lab section's iLearn page. Make sure you are familiar with the different types of uncertainty and how they are associated with the measurements you produce. Also make sure to review the examples given at the end of the document- throughout the introductory physics sequence you will be required to do plenty of exercises similar to and more complex than those. 2. . starting now! Suppose you have collected the set of data below by measuring the amount of time it takes for a small steel ball to fall from a height of 1.5 m to the ground. Height (m) Fall Time (s) 1.5 0.66 1.5 0.68 1.5 0.49 1.5 0.53 1.5 0.55 What value would you report if I asked you for the fall-time of this small steel ball from a height of 1.5 m? 3. Using that value, calculate g using Eq. 3 from p. 1 of this manual. What uncertainty would you assign to your calculated value of g? Explain your reasoning for assigning this value. 4. Suppose you collected a data set in which you measured fall-times for different fall-heights. You plotted the data and fit the mathematical model, y = Ax, to match the physical hypothesis, y = 1/2*g*t. From the best-fit curve, the value of your fit-parameter, A, is 4.6 m/s? ± 0.4 m/s?. Determine the value of g t 8g for this fit-parameter value. 1. Read through the "Measurements and Experimental Results: Uncertainty Analysis" document found on your lab section's iLearn page. Make sure you are familiar with the different types of uncertainty and how they are associated with the measurements you produce. Also make sure to review the examples given at the end of the document- throughout the introductory physics sequence you will be required to do plenty of exercises similar to and more complex than those. 2. . starting now! Suppose you have collected the set of data below by measuring the amount of time it takes for a small steel ball to fall from a height of 1.5 m to the ground. Height (m) Fall Time (s) 1.5 0.66 1.5 0.68 1.5 0.49 1.5 0.53 1.5 0.55 What value would you report if I asked you for the fall-time of this small steel ball from a height of 1.5 m? 3. Using that value, calculate g using Eq. 3 from p. 1 of this manual. What uncertainty would you assign to your calculated value of g? Explain your reasoning for assigning this value. 4. Suppose you collected a data set in which you measured fall-times for different fall-heights. You plotted the data and fit the mathematical model, y = Ax, to match the physical hypothesis, y = 1/2*g*t. From the best-fit curve, the value of your fit-parameter, A, is 4.6 m/s? ± 0.4 m/s?. Determine the value of g t 8g for this fit-parameter value.

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2 We can used the concept of normalized standard d... View the full answer