All math here was done by Lina Shields here
- 123.76px = 1737km, or half the diameter of the Moon.
- 128px = larger gap = 1796.51km
- 38px = smaller gap = 533.34km
- Average gap distance = 1164.93km
- M = m = Mass of half the moon = 3.674e22 kg
- G = gravitational constant = 6.67e-11
- Moon radius = 1737 km = 1,737,000 m
- Moon gap distance = 1164.93 km = 1,164,930 m
Gravitational Binding Energy of the Moon = 1.2385e29 Joules
- I guess this is the energy that sticks the Moon together.
Gravitational Potential Energy of the split Moon = G*M*m/r^2 = (G*M*m)/(2 x (3/8) x MoonRadius + MoonSplitWidth) = (6.67e-11)(3.675e22 kg)(3.675e22 kg)/(2 x (3/8) x (1,737,000m + 1,164,930m))
- GPE of Split Moon = 4.134e28 Joules
- Center of gravity of hemisphere is 3/8 x radius from the base circle's center.
Energy needed to split the moon = ((GBE) - (GPE of split Moon)) = (1.2385e29 - 4.134e28) = 8.251e28 Joules, or about 19.7203632887192 Exatons of TNT
While this is a feat that was originally done by the Power Puff Girls, this can be generally applied to feats of the same magnitude in pretty much any verse.