**A cylindrical specimen of 1 inch in diameter and 1 in
height is compressed by the drop of a mass m = 100 lb from a
certain height. The material has the following properties: k = 15
000 psi, n = 0.5, density ρ = 0.1 lb / in ^{3} and specific
heat c_{p} = 0.3 Btu / lb.^{o}F. Considering that
there are no heat and friction losses and given the temperature
increase by 100 ^{o}F, calculate the final height of the
specimen**

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