If rolled rug is freely unrolled down inclined plane, where does its initial potential energy disappear?

Question

You do not assume that in frictionless
case all energy goes into the final 'slap',
do you?

Answer 1

Potential energy goes to kinetic energy goes to heat and noise as the carpet rubs up against itself and the ground and slaps on the ground.

Edit: yes I am going to say it's all about the slap. It's kind of like what a whip does. Absent any kind of energy-wasting like friction or air resistance or sonic booms, the carpet would bounce back and start rolling itself up again (and/or send a transverse wave back up the hill).

Answer 2

An easy way to illustrate what would really happen in a truly frictionless lossless system is to first imagine that the rug is a sheet of ball bearings connected by threads, rolled up and hanging from the ceiling with no ramp. Then it is allowed to drop and unfurl. What would happen? It would end up in a chaotic pendulum motion, it would not simply roll straight down and "die". Likewise, if allowed to "drop and unfurl" on a ramp, there will be oscillations caused by balls bouncing up from the ramp after striking it, particularly the last rows since they would hit it the hardest. The potential energy is thus converted to mostly kinetic energy (also with varying potential energy as individual balls bounce up), and in an ideal frictionless system such motion will never come to a rest.

Answer 3

on the proper of the plane, skill potential is optimal, and decreases as a results of fact the ball rolls down the plane. Conversely, the kinetic potential will enhance down the plane. the whole potential (KE + PE) is the comparable at any time as a results of fact the ball rolls down.

Answer 4

its potetial energy is converted into kinetic energy and is lost through friction.