For lunch, you and your friends decide to stop at the nearest deli and have a sandwich made fresh for you with 0.120 kg of turkey. The slices of turkey are weighed on a plate of mass 0.370 kg and placed atop a vertical spring of negligible mass, with a force constant of k = 220 N/m. The slices of turkey are dropped on the plate all at the same time from a height of 0.160 m. They make a totally inelastic collision with the plate and set the scale into vertical simple harmonic motion (SHM). You may assume that the collision time is extremely small. Once the turkey is on the plate, the scale oscillates around a new equilibrium position. How far from the new equilibrium position was the plate when the slices of turkey landed on it?