The big red cube is not affected by gravity and has an infinite mass (to avoid that it moves when something interacts with it).
I want to translate that cube from point A (0,0,0) to point B (3,0,0) over 3 seconds, with let's say 60 frames per second.
The small blue cube shouldn't move, thanks to friction.

What kind of force should I apply to the big cube, considering it's infinite mass?
Should I remove infinite mass and put a "very big mass" then apply an impulse to it and kill it's inertia once it has reached it's destination?
If so, how can I make that big cube immune (won't react) to other objects bumping into it?