A stack of sixth phase Sierpiński carpets are hung in Sierpiński’s carpet factory, parallel to each other. A Sierpiński carpet in phase $0$ is just a square carpet. In phase $1$, a square area, the middle $1/9$, is cut out of it.

The carpet manufacturing process, up to phase six, can be seen here: https://commons.wikimedia.org/wiki/File:Animated_Sierpinski%27s_carpet.gif

From the carpets hung close to each other, one is pulled out very slowly vertically upwards, according to the illustration below. Those next to it do not move, but they act on the extracted carpet with a frictional force which is proportional to the contact surface area.

1 How much work (mechanical energy) is needed to lift the carpet, if the side length of the carpet is $L$, its mass is $M$, and the frictional force coefficient is $\lambda$ $[N/m^2]$?

2 These carpets are very flexible. How far does the same sixth-phase carpet have to be pulled off the side of a table (see right panel of figure) so that the hanging part already pulls the rest with it? The adhesion friction coefficient between the carpet and the table is $\mu = 0.375$.