useless vs worn down

useless

adj
  • Unable to do well at a particular task or thing. Useless is mildly insulting. 

  • Without use or possibility to be used. 

  • Good-for-nothing; not dependable. 

  • Unhelpful, not useful; pointless (of an action). 

worn down

How often have the words useless and worn down occurred in a corpus of books? (source: Google Ngram Viewer )