You can say something "flew up and hit my father in the nose."
Your sentence: Yesterday, part of wood was flying onto my father's nose and hurt it to bleed while the wood were cutting by my father ?
Yesterday, while my father was cutting wood, a piece of wood flew up and hit my father in the face.It hit him hard enough to make his nose bleed.
Did it bleed because it scratched him? (The skin was bleeding?) Or did it bleed because it hit him hard enough for his nose to bleed from the inside?
Note that you should not leave a space before your punctuation marks.
Student or Learner