It depends on where the 1 kg excess is coming from. If it’s to counteract friction in the pulley, and the velocity is constant, then the total will be 201 kg (though there will now be a torque that puts different forces on the branch). But the pulley is totally frictionless, and the stone is accelerating upward, then it’ll be 202 kg.
Also assuming here that the rope and pulley are massless.
Of course. Every reasonably well equipped gedanken lab has loads of those along with perfectly reflective mirrors, completely elastic billiard balls and perfect vacuums.
The way we used to tell this when I was a kid (when it was one of the few riddles a kid could tell that would stump an adult) was this:
There’s a bus you’re driving; at the first stop, Jack gets on; at the next one, Joe and Jeff get on; at the next one, Jill gets on, and Joe gets off. Two stops later, Jane gets on, and Jack gets off. At the next one, Jenny and John get on. Three stops later Jeff and Jill get off. Jane, Jenny and John ride to the end of the line. Now, what is the name of the driver?
The way I have heard the bus problem was, the last question was “how many stops did the bus make?” This frustrates the listener because they realize that they could have answered the question but they were keeping track of the wrong information.