A $8\mathrm{.}15$ kg object on a horizontal frictionless surface is attached to a spring with $k=885\frac{N}{m}.$ The object is displaced from equilibrium $62\mathrm{.}5$ cm horizontally and given an initial velocity of $8\mathrm{.}23\frac{m}{s}$ back toward the equilibrium position. What are $($a$)$ the motion's frequency,

$($b$)$ the initial potential energy of the block$-$spring system, $($c$)$ the initial kinetic energy, and $($d$)$ the motion's amplitude?

$($a$)$ Number $$

$($b$)$ Number $$ Units

$($c$)$ Number $$ Units

$($d$)$ Number $$ Units