A Positive Disaster

As a part of a two-semester undergraduate Order of Magnitude (OoM) astronomy course, the second semester culminated in a group project where we created our own OoM problems. Our group created a problem titled “A Positive Disaster”, a problem about ripping electrons off the moon!
An LLM was used to create this cover image.
Imagine an alien race has come to our solar system with an “electron capture” magnet. They position the magnet at the moon and start ripping away electrons from the moon, making it positively charged, and they conveniently don’t repel each other or attract other positive charges when doing so. As the moon continues to get more positively charged, it will eventually “explode” (become unbound).
(a) Calculate the number of electrons you have to remove before the moon explodes/becomes unbound.
(b) Is this a sensible amount of electrons?
In this post I talk about the problem itself and the writing process.
