Problem $6(5$ points$)$ composite:

A composite material is to be created with a Polymer matrix that has an E of $1$ GPa.

$\backslash$table$[[$Material$,$E $($GPa$)],[$Carbon Fiber,$230],[$Glass Fiber,$72],[$Kevlar$,62]]$

Determine the volume fraction of each fiber required for the $E$ of the final composite along the fiber orientation to be $55$ GPa $(3$ points$)$

If the E in transverse loading needs to be at least $4$ GPa which of the mixtures above pass $(2$ points$)$