ax
Synonym discussion
Sense: noun/1
Ax is the usual American spelling for the long-handled tool used to chop wood or bring down a tree. Axe is the standard British spelling of the same word, so the difference is spelling rather than meaning. Hatchet usually suggests a smaller version that one person can control with one hand, which makes it natural for camping or small repair jobs. A maul is heavier and built mainly for splitting logs, not for ordinary trimming. A machete is different again: it has a long, thin blade and is better for cutting through plants than striking deep into a trunk. If someone is swinging at firewood or a tree, ax is the normal American choice.
Etymology
Ax is the usual American spelling of axe. The word goes back to Old English forms such as æx and æcs, and related older words in other European languages point to the same core idea of a sharp chopping tool.