1. The problem statement, all variables and given/known data An ideal spring is hung vertically from the ceiling. When a 2.0 kg mass hangs from it at rest, the spring is extended 0.06 meters from its relaxed state. An upward external force is then applied to the block to move it upward a distance of 0.16 meters. While the block is being raised by the force, the work done by the spring is: 2. Relevant equations Force from a spring= -kd Work due to a spring= .5(k)(xi)^2-.5(k)(xf)^2 3. The attempt at a solution I believe to find the magnitude of the spring constant i rearrange F= -kd to become k=F/d (i read that we can neglect the negative in this case? correct me if im wrong) so F=mg=(2.0kg)(9.8m/s^2)=19.6N 19.6N/.06m=326.667N/m=k Finally, W=.5(326.667N/m)(.06m)^2 - .5(326.667N/m)(.10m)^2= -1.04J Did i find the spring constant correctly? I feel like using mg/d was wrong. Also, when i use the work done by spring equation, is xi and xf the distance away from equilibrium?