You could both be right.
A light axe can also do a lot of damage. I don't think that medieval European battle axes were that heavy when used on foot.
And a ceremonial axe, can be quite heavy, too. Look at this Songye axe. It weighs about 2 kgs.
I also want to show a small battle axe. I think it's from South Africa, but I'm not sure which tribe it comes from. It has a very slender shaft and a small axe blade which is pretty sharp. The shape of the shaft make it ideal for hacking.
The other weapon is sort of a pick axe. It originates from Western Africa, that's all I know.
Lenght of small axe : 46,5 cm, axe blade : 7,5 cm, cutting edge : 4,7 cm.
Length of pick axe : 48 cm, axe blade : 25,5 cm (with serrated edge near the point).