a$)$ Compute the modulus of elasticity. $(1$ point$)$

b$)$ Determine the yield strength at a strain offset of $0\mathrm{.}002.(0\mathrm{.}5$ point$)$

c$)$ Determine the tensile strength of this alloy. $(0\mathrm{.}5$ point$)$

d$)$ Compute the modulus of resilience. $(1$ point$)$

e$)$ What is the ductility, in percent elongation? $(1$ point$)$

f$)$ If a cylindrical sample of this cast iron with an initial length of $100$ mm and a diameter of $15$ mm is subjected to a tensile force of $65000$ N $,$ what will be its final length after this load is removed? $(2$ points$)$

a$)E=\frac{\text{s}\text{t}\text{r}\text{e}\text{s}\text{s}}{\text{s}\text{t}\text{a}\text{i}\text{n}}$