1. Question Given an idea spring with constant K, a mass of M is dropped onto the spring from a height of H1. The spring compresses D distance. We take the mass off, and drop the mass again at a height of H2, where H2 is significantly greater than H1. This time, will the spring compress a greater distance or the same distance? 2. Relevant Equations F = - k x and Conservation of energy: U = mgh, Es = ½kx2, where Es is elastic potential of spring U = Es 3. Attempt at solution So if we think about it only in terms of F = -kx, then no matter how high we drop the mass, it should compress the same distance D, because F (gravity) remains the same. But if we consider it from an energy perspective, then U (gravitational protential) would be greater if the height is greater. And thus the compression must also be greater to match this greater potential energy. So which one is correct?