A $200g$ mass attached to a horizontal spring oscillates at a frequency of $1\mathrm{.}5Hz.$ At one instant, the mass is at $x=70mm$ and has $v_x=-0\mathrm{.}2\frac{m}{s}.$ Determine

$($a$)$ The period

$($b$)$ The amplitude

$($c$)$ The maximum speed

$($d$)$ The total energy