For a different solution to the same problem, a pair of New Yorkers came up with The Charge Cycle, a proposal to put phone-charging stationary bikes on street corners around NYC.
The first five weeks were almost all pair-programming all the time, which was really helpful for problem-solving and learning Python syntax, processes, etc.
Instead of using Newton's theory of gravity to examine why fast-moving stars remain within their galaxies, the pair applied general relativity, Einstein's theory of gravity, to the problem.