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One Watt is rate at which work is done when an object's velocity is held constant at one meter per second against constant opposing force of one Newton. (or 1 N x m/s)

Now I do NOT get this conceptually. So I like to imagine the scenario in space (which i always use as the frame of reference for my thought understandings).

I have a spaceship that ALWAYS generate one Watt. It starts at speed 0 m/s relative to me.

Shouldn't this spaceship accelerate forever (or up to the speed of light?). As far as I know, a spaceship going at 1 m/s is the same as one going to 0 m/s in terms of energy needed. I don't understand the above definition of Watt.

Can someone describe to me what will this spaceship do if it ALWAYS and ONLY puts out one watt?

Thank you