The one with the spike is a beet hook. The spike is for spiking and pulling a beet (already pulled from the ground, rather than out of the ground), after which the green top is cut off. The spike reduces the need for the worker to bend over as far.
A photo of one being used is attached, from
https://oregonhistoryproject.org/art...s-sugar-beets/
Some footage of this being done can be seen at
https://www.gettyimages.com.au/detai...tage/915170266