A $50\mathrm{.}0-$g object connected to a spring with a force constant of $35\mathrm{.}0$ N$/$m

oscillates on a horizontal, frictionless surface with an amplitude of $4\mathrm{.}00$ cm$.$

Find

$($a$)$ the total energy of the system when the position is $1\mathrm{.}00$ cm$.$

$($b$)$ the speed of the object when the position is $1\mathrm{.}00$ cm$.$

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

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