The material that the cylinder is made from is Butyl Rubber.
What is Young's modulus?
Young's modulus, or the modulus of elasticity in tension or compression, is a mechanical property that measures the tensile or compressive strength of a solid material when a force is applied to it.
Area of the cylinder
A = πr²
[tex]A = \pi \times (0.02)^2 = 0.00126 \ m^2[/tex]
Young's modulus of the cylinder
[tex]E = \frac{stress}{strain} \\\\E = \frac{F/A}{e/l} \\\\E = \frac{Fl}{Ae} \\\\[/tex]
Where;
When 5 kg mass is applied, the extension = 10 cm - 9.61 cm = 0.39 cm = 0.0039 m.
[tex]E = \frac{(5\times 9.8) \times 0.1}{0.00126 \times 0.0039} \\\\E = 9.97 \times 10^5 \ N/m^2\\\\E = 0.000997 \times 10^9 \ N/m^2\\\\E = 0.000997 \ GPa\\\\E \approx 0.001 \ GPa[/tex]
When the mass is 50 kg,
extension = 10 cm - 7.73 cm = 2.27 cm = 0.0227 m
[tex]E = \frac{(50\times 9.8) \times 0.1}{0.00126 \times 0.0227} \\\\E = 1.7 \times 10^6 \ N/m^2\\\\E = 0.0017 \times 10^9 \ N/m^2\\\\E = 0.0017 \ GPa\\\\E \approx 0.002 \ GPa[/tex]
The Young's modulus is between 0.001 GPa to 0.002 GPa
Thus, the material that the cylinder is made from is Butyl Rubber.
Learn more about Young's modulus here: https://brainly.com/question/6864866