A Tolkienesque nation wouldn't have science as we know it. What they knew was closer to what we would call natural history. Some astronomy, a bit of hydrology, a vague understanding of seismic activity like earthquakes and earth tremors, while medicine was mainly humours and disease causing vapors, and a non-systematic knowledge of animals, plants, herbs, and agricultural crops.
They had no explanation for gravity except matter belonged to different realms: the terrestrial and celestial. Terrestrial matter fell down because it wanted to sink to the lowest level. celestial matter stayed up above in the form of Sun, the Moon, stars and the planets. The planets were either wandering stars or the peepholes through which the gods and goddesses observed the mundane plane of existence or our world (this is in the beliefs of the Ancient Greeks).
They lacked any concept of energy as we know it. This is post-Renaissance understanding of nature. However, if they possess windmills and water wheels or wheels turned by animals like horses there could be an exceptionally vague notion of the work needed to grind grain into flour. This would be an intuitive understanding of the work involved.
On the other hand, if magic exists in this Tolkienesque country and it is worked by, say, wizards and/or witches, then they might have a 'notion' of the 'energy' involved to accomplish a feats of magic. The language used to describe the phenomenon will be radically different from even our earliest ideas about energy, but there could be an apparent correspondence.
As for sixteen forms of energy, mentioned in the question, they wouldn't understand any of them. Those concepts require a systematic study of nature and the development of mathematical reason. Both of which were mainly lacking in a Tolkienesque world. The civilizations to the East had done a better job of developing early forms of science, but these were often mixed up with supernatural beliefs.