F=ma 2015 Problem 23

A 2.0 \mathrm{~kg} object falls from rest a distance of 5.0 meters onto a 6.0 \mathrm{~kg} object that is supported by a vertical massless spring with spring constant k=72 \mathrm{~N} / \mathrm{m}. The two objects stick together after the collision, which results in the mass/spring system oscillating. What is the maximum magnitude of the displacement of the 6.0 \mathrm{~kg} object from its original location before it is struck by the falling object?

Answer Choices
A. 0.27 \mathrm{~m}
B. 1.1 \mathrm{~m}
C. 2.5 \mathrm{~m}
D. 2.8 \mathrm{~m}
E. 3.1 \mathrm{~m}