A $5\mathrm{.}71$ kg object on a horizontal frictionless surface is attached to a spring with k$=1020$ N$/$m$.$ The object is displaced from equilibrium $70\mathrm{.}9$ cm horizontally and given an initial velocity of $10\mathrm{.}2$ 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?