Height of falling object vs. compression of spring

[HaoPhysics]

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?

Homework Equations

F = - k x
and Conservation of energy:
U = mgh, E_s = ½kx², where E_s is elastic potential of spring
U = E_s

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?

 

[Doc Al]

The point of maximum compression is not the equilibrium point!