# UMass Amherst PHYSICS 131 - Physics 131 Lab 3 (7 pages)

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## Physics 131 Lab 3

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- Pages:
- 7
- School:
- University of Massachusetts Amherst
- Course:
- Physics 131 - Intro Physics I

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Physics 131 Section L Thursdays 9 00 AM ILC S110 June 29 2017 Work Theorem at Work Abstract This lab highighted the use of Kinetic energy and the Work energy theorem A hanging weight was attached to the PAScar on an almost frictionless track The weights varied in size from 5g 10g and 20g A sensor captured the velocity and position of the car This data was used to calculate displacement and acceleration over the course of time Questions Answers 1 Consider the PAScar and hanging and mass system The PAScar has a mass of 250 grams 0 250kg and hanging mass weighs m 25grams 0 025kg descends starting at rest a total distance of 1m At the half way mark 0 5m the string breaks What is the kinetic energy of the PAScar at the moment the string breaks 2 points The kinetic energy at the time the string breaks is 0 11135 J Figure 1 below shows these calculations Figure 1 shows the calculation of the kinetic energy at the time the string breaks 2 Plot the v2 vs x xi graph for each of your three sets of measurements Perform a linear fit for each graph and determine the slope of best fit 3 0 points Graph was created using data points of x xi and v 2 for different hanging masses The linear fit was done within excel and the best fit slope is shown on each graph within the linear equation Figure 2 Displacement vs Acceleration for a 5 gram hanging mass Slope of best fit y 0 2589x 0002 Table 1 Table values used to create Figure 1 x xi v 2 Figure 3 Displacement vs Acceleration for a 10 gram hanging mass Slope of best fit y 0 6027x 0 0012 Table 2 Table values used to format Figure 3 x xi v 2 Figure 4 Displacement vs Acceleration for a 20 gram hanging mass Slope of best fit y 1 29x 0011 Table 3 Table values used to format Figure 3 x xi v 2 3 The slope of best fit equals 2mg m M For each value of slope m and M calculate the value of g and compare them to the expected value What is the percent difference for each measurement 3 0 points By rewriting the formula we can make it solve for g Giving

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