QUESTION $2$

A sample was consolidated in a triaxial cell, sheared in drained condition resulting in specific volume at failure $v_f$ of $1\mathrm{.}4.$ The soil sample was collected $8m$ below the ground surface, and the recorded unit weight was $18\mathrm{.}75k\frac{N}{m^3}.$ Determine the values of $q$ and $p^{\text{'}}$ at failure. In addition, calculate the difference $(v_0-v_f)$ of specific volume. The provided parameters are given to facilitate the analysis.

$M=0\mathrm{.}85,=2\mathrm{.}09,N=2\mathrm{.}13,=0\mathrm{.}10$