I guess, in theory, you could ball up said piece of paper and lob it at the “floating” 1T object ... some of the inertial energy from the moving paper ball would be transferred to the 1T object (unless you miss - can you get gimballed paper balls?!) and some would be transformed into heat due to the friction of the impact. If you threw it hard enough then maybe the 1T would start to almost imperceptably
Exactly how hard you would have to throw the paper I don’t know (there was a time when I probably could have worked it out but nowadays I, frankly, can neither remember nor be bothered ...)
One things for sure, if you weren’t mag-booted to the ground then the act of hurling the paper that hard would send you flying backwards and, likely, send you into a forward rotational spin around your centre-of-gravity until some other force acts on you to stop that.
Like smacking into a wall or being thrown out by the station police for messing about with physics experiments.