$6.$ A continuous and aligned fiber$-$reinforced composite is to be produced consisting of $30$ vol$\backslash \%$ aramid fibers and $70$ vol$\backslash \%$ of a polycarbonate matrix; mechanical characteristics of these two materials are as follows:

Also, the stress on the polycarbonate matrix when the aramid fibers fail is $45$ MPa $(6500$ psi $).$

For this composite, compute the following:

$($a$)$ The longitudinal tensile strength

$($b$)$ The longitudinal modulus of elasticity