"Hitting the High Seas"

I watched "Hitting the High Seas" this morning and (probably not for the first time) noticed a Biblical allusion.  When the captain orders Micky, Davy, and Peter to cut off their long hair, Micky replies, "No, we can't cut it; we'd lose our strength."  The trivia on the DVD notes that this is a reference to Samson, but I thought I'd be a bit more precise and give a citation.  In Judges 16:17, Samson tells Delilah, "If my head is shaved, then my strength will leave me, and I shall become weak and be like any other man."