Hi, I'm Robert and I'll be helping you with your printer question.
the springs probably go to lift part of the tray so that the paper is raised high enough for the pickup rollers to move them into the printer.
sorry is that an officejet ?
that would not have a paper tray that sophisticated. They might belong on some rollers that lock down on the paper as it goes through.
I just can't tell you without seeing it somehow. I am sorry. I can't find a schematic for that printer.
there are several parts that have springs as part of the part