For each trial, calculate the difference between my and m₂. Enter the result in the column labeled maff- For each trial, calculate the total mass in grams. Enter the result in the column labeled my. Using LabQuest, Logger Pro, or graph paper, plot a graph of acceleration vs. mai, using the Part I data. Based on your analysis of the graph, what is the relationship between the mass difference and the acceleration of an Atwood's machine? Similarly, plot a graph of acceleration vs. my, using the Part II data. Based on your analysis, what is the relationship between total mass and the acceleration of an Atwood's machine? Develop a single expression for the acceleration of an Atwood's machine, combining the results of the previous two steps in the analysis.

College Physics
11th Edition
ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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DATA TABLE
Part I Constant Total Mass
Trial
1
2
3
4
1
5
2
Part II Constant Mass Difference
Trial
m₁
(kg)
4
0.11
0.12
3 0.13
0.14
5 0.15
m₁
(kg)
0.06
10.07
0.08
0.09
0.10
m₂
(kg)
0.09
0.08
0.07
0.06
0.05
m₂
(kg)
0.05
0.06
0.07
0.09
Acceleration
(m/s²)
matt
m₁-M₂
(kg)
0.02
088139
1.7435
2.6919
0.06
3.7198
0.08
4.4549 0.10
Acceleration
(m/s²)
mart.
M₁-M₂
(kg)
071817
10.59039 0.01
0.48584
0.34423
0.32451
0.01
0.01
0.01
MT
(kg)
0.2
0.2
0.2
0.2
0.2
MT
(kg)
0.13
0.15
0.17
0.19
ANALYSIS
1. For each trial, calculate the difference between m₁ and m₂. Enter the result in the column
labeled mdiff-
2. For each trial, calculate the total mass in grams. Enter the result in the column labeled mT.
3. Using LabQuest, Logger Pro, or graph paper, plot a graph of acceleration vs. maiff, using the
Part I data. Based on your analysis of the graph, what is the relationship between the mass
difference and the acceleration of an Atwood's machine?
4. Similarly, plot a graph of acceleration vs. mr, using the Part II data. Based on your analysis,
what is the relationship between total mass and the acceleration of an Atwood's machine?
5. Develop a single expression for the acceleration of an Atwood's machine, combining the
results of the previous two steps in the analysis.
Transcribed Image Text:DATA TABLE Part I Constant Total Mass Trial 1 2 3 4 1 5 2 Part II Constant Mass Difference Trial m₁ (kg) 4 0.11 0.12 3 0.13 0.14 5 0.15 m₁ (kg) 0.06 10.07 0.08 0.09 0.10 m₂ (kg) 0.09 0.08 0.07 0.06 0.05 m₂ (kg) 0.05 0.06 0.07 0.09 Acceleration (m/s²) matt m₁-M₂ (kg) 0.02 088139 1.7435 2.6919 0.06 3.7198 0.08 4.4549 0.10 Acceleration (m/s²) mart. M₁-M₂ (kg) 071817 10.59039 0.01 0.48584 0.34423 0.32451 0.01 0.01 0.01 MT (kg) 0.2 0.2 0.2 0.2 0.2 MT (kg) 0.13 0.15 0.17 0.19 ANALYSIS 1. For each trial, calculate the difference between m₁ and m₂. Enter the result in the column labeled mdiff- 2. For each trial, calculate the total mass in grams. Enter the result in the column labeled mT. 3. Using LabQuest, Logger Pro, or graph paper, plot a graph of acceleration vs. maiff, using the Part I data. Based on your analysis of the graph, what is the relationship between the mass difference and the acceleration of an Atwood's machine? 4. Similarly, plot a graph of acceleration vs. mr, using the Part II data. Based on your analysis, what is the relationship between total mass and the acceleration of an Atwood's machine? 5. Develop a single expression for the acceleration of an Atwood's machine, combining the results of the previous two steps in the analysis.
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