A $0\mathrm{.}50-$kg object is attached to an ideal massless spring of spring constant $25$ N$/$m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of $3\mathrm{.}5$ m$/$s at the equilibrium position.

At what location are the kinetic and the system's potential energy the same?

Group of answer choices

$0\mathrm{.}13$ m

$0\mathrm{.}23$ m

$0\mathrm{.}70$ m

$0\mathrm{.}19$ m

$0\mathrm{.}06$ m