They would be KILLED
It is a thief, sort of a pickpocket. In Medieval times, men and women carried their money in a purse on their belts. A cut purse would brush up against them, cut the purse and take the money out of the slit.
There is no such character as "cut-purse" in the Rostand play.
You can make the compound words cutout, cutup, cut-purse, from cut.
Cats who have no tails can still twist about and land on their feet. There are cats who are born without tails, and cats who get their tails caught and cut off, and they can do it. But if the cat had a tail that is just fine, don't cut it off.
A cut-purse is a thief. The modern day name would be a pick-pocket. They were called cut-purses because in the days when people carried their money in a bag (a purse) hung off their belts, the thieves would steell them by cutting the cord attaching the purse to the belt. Theatres were goo places for cut-purses to operate because they were crowded (people stood rather then sat) and peoples attention was focused on the stage/actors rather than their purses.
Nothing would happen to its density.
You would die...
A avulsion
they would have a small chance of living depending on how it has been cut
If a candy bar was cut in half the mass would decrease.
It would be a disaster.
the soil would be eroded