$4.$ A continuous and aligned fibrous reinforced composite having a cross$-$sectional area of $\backslash (500\backslash$mathrm$\{$~mm$\}^\{2\}\backslash )$ is subjected to an external tensile load of $\backslash (78,000\backslash$mathrm$\{$~N$\}\backslash ).$ If it consists $\backslash (45\backslash$mathrm$\{$vol$\}\backslash \%\backslash )$ PC matrix and $\backslash (55\backslash \%\backslash )$ carbon fibers. The elastic moduli of PC and carbon fibers are $2\mathrm{.}4$ GPa and $260$ GPa $,$ respectively, determine the following

$($a$)$ the fiber$-$matrix load ratio.

$($b$)$ The modulus of elasticity of the composite material in the longitudinal direction.

$($c$)$ the actual loads carried by both fibers and matrix phases.

$($d$)$ the magnitude of the stress on each of the fiber and matrix phases.

$($e$)$ what strain is experienced by the composites?