An oscillating block$-$spring system has a mechanical energy of $3\mathrm{.}19$ J $,$ an amplitude of $7\mathrm{.}31$ cm $,$ and a maximum speed of $1\mathrm{.}02\frac{m}{s}.$ Find $($a$)$ the spring constant, $($b$)$ the mass of the block and $($c$)$ the frequency of oscillation.

$($a$)$ Number $$ Units $$

$($b$)$ Number $$ Units

$($c$)$ Number $$ Units