J. Westbrock nailed it.
If it matters, I know a young lady who has killed a few deer with a recurve, pulling less than 25#, with about a 25" draw, and arrows around 400 grains.
We have no idea what her K.E., momentum, slug feet, etc. etc. etc. are. Deer didn't care either. She put the arrow in the right spot, deer died, end of story. One of the shots was 26 paces (approx. 26 yds). Deer went about 65 yds.--a large doe.
Good arrow flight, sharp broadhead, and shot placement are essential. Other than that, if your set-up is legal, it will do the job.