How to let particle settle in place?

[sergbel]

Here is a situation I cannot solve in Blender

I have a particle emitter, that emits one particle.
there is a cube object that has a force on it with the strength of -50 to suck particle near it
the cube is animated but stops moving at a certain time
the partrricle is getting sucked/pulled by the cube to its origin but it just keeps bouncing eround without settling in place at some point

particle never settles in place

How can I let the particle settle after a few bounces?

[LazyDodo]

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