A \(2.00-\mathrm{kg}\) object is free to slide on a horizontal surface. The object is attached to a spring of spring constant \(200 \mathrm{~N} / \mathrm{m}\), and the other end of the spring is attached to a wall. The object is pulled in the direction away from the wall until the spring is stretched \(50.0 \mathrm{~mm}\) from its relaxed position. The object is not released from rest, but is instead given an initial velocity of \(2.00 \mathrm{~m} / \mathrm{s}\) away from the wall.

(a) Determine the energy of the oscillating system.

(b) Write the equation for the object's position as a function of time. Ignore friction.