Listen to Buzzard. He knows knives. But there are a couple of other options. A V edge is most common, and if using the V, Buzzard is dead on. But there are also a few other edges to be made aware of. The chisel edge is sharpened on one side only. If you are right handed, the left edge of the knife is straight, causing the blade to cut in a very straight, up, and down path. It is useful for slicing sushi, or or very thin shaved veggies or meat slices. It is a shallow grind of no more than 16 degrees and feels sharp to the touch. But it isn't a strong edge and so is considered a specialized edge for particular purposes. The compound edge starts shallow, and then is angled with a more pronounced angle at the very edge of the blade. It will follow a two sided bevel of 16 degrees, but ending with twenty to 25 degrees. This increases the durability of the edge, as it resists folding over compared to it's shallow edged cousin. Finally, there is the convex edge, where the blade rolls toward the metal center on either side. The natural curve of the convex edge makes it the strongest edge, while still providing a razor sharp cutting edge. But it is the most difficult to produce. Once completed, a leather strop is usually used to maintain sharpness. The knife edge is dragged across the strop backward compared to the edge-forward motion used with steels and stones. As the knife edge contacts the coated leather (it has fine jewelers rouge worked into the smooth leather) it depresses the material into a curved shape that maintains the convex curve of the blade as it polishes the edge.
As for how sharp the knife feels, that depends on the type of edge. The shallow, acute angled edges feel much sharper than to the sturdier teh wider angled edges. As to which goes through what you are trying to cut easier, if you're talking about a tomato, or apple, the acute angle will travel through much easier, and cut with less pressure. If you are going to cut through a cantalope, or winter squash, the convex edge produces less drag, and pushes the food away from the body of the blace, again reducing frinction. The knife glides through more easily.
The one type of knife I have learned to wtay away from is any blade that is hollow ground. This grind initially produces a very sharp edge, and is easy to make at the factory. But it becomes hard to maintain at home and the blade shape makes it difficult to cut through anything thick. If you want to use a hollow ground knife to cut through something that is only half an inch thick, then your fine. But it is a miserable shape to try and force thorugh a mellon, or large chunk of anything, IMO.
Hope this helps.
Seeeeeya; Goodweed of the North