DATA TABLEPart I Constant Total MassTrial1234152Part II Constant Mass DifferenceTrialm₁(kg)40.110.123 0.130.145 0.15m₁(kg)0.0610.070.080.090.10m₂(kg)0.090.080.070.060.05m₂(kg)0.050.060.070.09Acceleration(m/s²)mattm₁-M₂(kg)0.020881391.74352.69190.063.71980.084.4549 0.10Acceleration(m/s²)mart.M₁-M₂(kg)07181710.59039 0.010.485840.344230.324510.010.010.01MT(kg)0.20.20.20.20.2MT(kg)0.130.150.170.19ANALYSIS1. For each trial, calculate the difference between m₁ and m₂. Enter the result in the columnlabeled 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 thePart I data. Based on your analysis of the graph, what is the relationship between the massdifference 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 theresults of the previous two steps in the analysis.

Aready done in the tableAlready done in the tableAcceleration vs mass difference graph , then…

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.

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

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

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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Concept explainers

Units and Dimensions

These are generally defined as the terms which precede or describes the dimensions further. These are also further divided into two parts namely fundamental units and the derived units.

Question

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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Step 2: 3.Acceleration vs mass difference graph, relation between acceleration and mass difference part I:

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Step 3: 4.Acceleration vs total mass graph , then relation between acceleration and total mass in part II

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