A $35\mathrm{.}0-$g object connected to a spring with a force constant of $40\mathrm{.}0$ N$/$m oscillates with an amplitude of $7\mathrm{.}00$ cm on a frictionless, horizontal surface.

$($a$)$ Find the total energy of the system.

$($b$)$ Find the speed of the object when its position is $1\mathrm{.}30$ cm$.($Let $0$ cm be the position of equilibrium.$)$

$($c$)$ Find the kinetic energy when its position is $3\mathrm{.}00$ cm$.$

$($d$)$ Find the potential energy when its position is $3\mathrm{.}00$ cm$.$