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# A group of students performed a compression experiment where they placed weights on top of a cylinder of material

and measured the change in the cylinder's height. The cylinder had a radius of 2 cm, and an initial height of 10 cm. For the purposes of computing stress and strain, the change in cross-sectional area during compression can be safely neglected. This group of students would like to know what kind of material their cylinder was. The data that the students collected are shown here.

a. Calculate the Young's moduli for each of the trials shown, and then determine the average. What is the average Young's modulus, in units kN/m^2? (Hint: The number should be on the order of 1000's of kN/m^2.)

b. Calculate the standard uncertainty of the Young's modulus, in units kN/m^2.

Mass (kg)
Height (cm)
5
9.61
10
9.42
15
9.13
20
9.08
25
8.75
50
7.73
Here is the list of known materials that the students were referencing.
Material
Y (GPa)
Butyl Rubber
0.001 - 0.002
Natural Rubber
0.0015 - 0.0025
Neoprene
0.0007 - 0.002
Cork
0.013 - 0.05
Leather
0.1 - 0.5

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