hehe
onto the subject. surface tension might be able to break the egg on impact from the height you described.
Hmm how might you be able to minimize suface tension... in regards of water/ pancake batter/ etc.. :wink:
assuming ideal conditions then you can neglect friction and what not. which is most likely the nature of this problem.
as i see it, like previously stated, all the answers are zero.
or you could toss together 5 statements that can be deduced from the original constraints and call that a proof. seeing as its just a bonus question i think that's what he's looking for.