A $30\mathrm{.}0-$g object connected to a spring with a force constant of $25\mathrm{.}0$ N$/$m oscillates with an amplitude of $5\mathrm{.}00$ cm on a frictionless, horizontal surface.

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

mJ

$($b$)$ Find the speed of the object when its position is $1\mathrm{.}05$ cm$.($Let $0$ cm be the position of equilibrium.$)$

m$/$s

$($c$)$ Find the kinetic energy when its position is $2\mathrm{.}50$ cm$.$

mJ

$($d$)$ Find the potential energy when its position is $2\mathrm{.}50$ cm$.$

mJ