A $50\mathrm{.}0$g object connected to a spring k$=35\mathrm{.}0$N$/$m oscillates on a horizontal, frictionless surface with an amplitude of $4\mathrm{.}0$cm$.$ Find: a$)$ the total energy of the system b$)$ the speed of the object when the position is $1\mathrm{.}0$cm c$)$ the kinetic energy when x$=3\mathrm{.}0$cm d$)$ the potential energy when x$=3\mathrm{.}0$cm$.$