2. An experimenter has collected data of an elastic system and wants to determine whether the data are described by the Hooke's law model: F = -kAx. The experimenter collected these data by setting a meter stick on the lab table in the direction that the spring is stretched. The experimenter then stretched the spring by one recorded Uncertainty in Force (N) Extension Force (m) (N) 0.00 0.01 0.032 0.01 0.73 0.009 0.02 1.57 0.009 0.03 2.39 0.015 0.04 3.38 0.021 centimeter at a time and the 0.05 4.06 0.003 corresponding force measurement at each location. After stretching the spring by six centimeters, the experimenter relaxed the spring by one centimeter at a time until the extension returned to zero. 0.06 4.82 0.032 0.05 4.05 0.026 0.04 3.33 0.021 0.03 2.34 0.033 0.02 1.58 0.015 0.01 0.81 0.024 0.00 0.03 0.035 a. Use any of the analysis tools we have discussed so far to determine how consistent the data are with the model. Submit your analysis spreadsheet(s) and a document that interprets your results. b. Based on your analysis, what should the experimenter do next?

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Chapter1: Units, Trigonometry. And Vectors
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2. An experimenter has collected data of an elastic
system and wants to determine whether the data
are described by the Hooke's law model: F
-kAx. The experimenter collected these data by
setting a meter stick on the lab table in the
direction that the spring is stretched. The
Extension
Uncertainty
in Force (N)
Force
(m)
(N)
0.00
0.01
0.032
0.01
0.73
0.009
0.02
1.57
0.009
0.03
2.39
0.015
experimenter then stretched the spring by one
and
0.04
3.38
0.021
centimeter
at
a
time
recorded
the
0.05
4.06
0.003
corresponding force measurement at each location.
After stretching the spring by six centimeters, the
experimenter relaxed the spring by one centimeter
0.06
4.82
0.032
0.05
4.05
0.026
0.04
3.33
0.021
at a time until the extension returned to zero.
0.03
2.34
0.033
0.02
1.58
0.015
0.01
0.81
0.024
0.00
0.03
0.035
a. Use any of the analysis tools we have
discussed so far to determine how consistent the data are with the model.
Submit your analysis spreadsheet(s) and a document that interprets your
results.
b. Based on your analysis, what should the experimenter do next?
Transcribed Image Text:2. An experimenter has collected data of an elastic system and wants to determine whether the data are described by the Hooke's law model: F -kAx. The experimenter collected these data by setting a meter stick on the lab table in the direction that the spring is stretched. The Extension Uncertainty in Force (N) Force (m) (N) 0.00 0.01 0.032 0.01 0.73 0.009 0.02 1.57 0.009 0.03 2.39 0.015 experimenter then stretched the spring by one and 0.04 3.38 0.021 centimeter at a time recorded the 0.05 4.06 0.003 corresponding force measurement at each location. After stretching the spring by six centimeters, the experimenter relaxed the spring by one centimeter 0.06 4.82 0.032 0.05 4.05 0.026 0.04 3.33 0.021 at a time until the extension returned to zero. 0.03 2.34 0.033 0.02 1.58 0.015 0.01 0.81 0.024 0.00 0.03 0.035 a. Use any of the analysis tools we have discussed so far to determine how consistent the data are with the model. Submit your analysis spreadsheet(s) and a document that interprets your results. b. Based on your analysis, what should the experimenter do next?
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