I agree with unenlightened and Purple Pond. There can't be an unstoppable force if there is an unmovable object, and there cannot be an unmovable object, if there is an unstoppable force. The question makes no sense.
Movement is merely about 'perception', and the 'idea' that an object is "unmovable' is based on the 'perception' of the suggested 'application' of force. 'perception' is a factor.
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Is this a philosophical question? It has been tested empirically.
This, by the way, is an unthinkable thought.