In a comment on Is there a self-rounding celestial body from which an Olympian could jump into space? @jpa made a modest proposal.
What if we stacked a bunch of athletes on top of each other and each pushed up the next?
In the distant future of 2021, Nike and Warner Bros have cooked up a cross-promotion publicity stunt for Space Jam 2 and Nike Space Force Vacuum Max shoes. They've placed an army of LeBron James clones on the surface of Mimas. The goal is to launch one LeBron James away from Mimas.
The LeBron clones can do a vertical jump of 1 m on Earth. Each mass 110 kg and are 2 meters tall. Source. His extensive exposure to cartoon logic while filming Space Jam 2, plus his trusty Nike Space Force Vacuum Max shoes, allows LeBron James to survive in space without a heavy space suit.
Mimas has an escape velocity of 159 m/s.
The clones are standing on top of each other in a human pyramid. Each "stage" is holding onto a (for the purpose of the question massless) platform for the next stage to stand on. The first "stage" jumps pushing the rest of the clones up. At an optimal point the second "stage" jumps and the first lets go. And so on.
For example (not to scale).
LJ stage 5 ----- LJ LJ stage 4 -------- LJ LJ LJ stage 3 ----------- LJ LJ LJ LJ stage 2 -------------- LJ LJ LJ LJ LJ stage 1 ====== Mimas ========
What does this stack of LeBron James clones like? How many are needed in each stage? Can it even work? Will the first stage of clones be crushed by the weight of the stages above them?