Backpacking where frozen ground makes pounding in tent stakes tough, a small hammer or hatchet is useful. If one is in an area of excess wood, campfires, wood tent stakes and poles might be part of the trip. Then a hatchet can be good to have.
Marble makes a small hatchet which weighs 13 ounces and I found for $17 plus shipping. Small enough it fits in my back pocket. It does a good job at pounding stakes, and is useful for light wood gathering. I like it for tapping away fire starting pitch chunks from the “cat face” of a pine tree, quickly limbing off the small dead pencil size “magic sticks” at the base of trees, making shavings and getting at dry wood in a dead stump. It is smaller than the usual hatchets, so won’t be up to larger tasks like felling anything more than a sapling. You won’t be splitting rounds with this, but for wood gettin’ I find it better than a pocket knife and sometimes better than a saw. I made a small leather sheath that leaves one side open for driving stakes and weighs 1/2 ounce. It came sharp enough for most tasks but if you like to whittle, it needs a bit of work with a stone to be shaving sharp. The wood appears to have a light varnish, but if you like could be sanded and tung oiled.