A $65\mathrm{.}0-$g object connected to a spring with a force constant of $45\mathrm{.}0$ N$/$m oscillates with an amplitude of $5\mathrm{.}00$ 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 $1\mathrm{.}20$ 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$.$