A $0\mathrm{.}10-$kg object is attached to an ideal massless spring of spring constant $35\frac{N}{m}$ along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of $1\mathrm{.}5\frac{m}{s}$ at the equilibrium position.

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

$0\mathrm{.}23$ m

$0\mathrm{.}35$ m

$0\mathrm{.}06$ m

$0\mathrm{.}19$ m

$0\mathrm{.}13$ m