Make sure that Lightroom is closed down, then use Windows Explorer to browse to the folder that contains the "Lightroom 5 Catalog.lrcat" file, and see if there is another file alongside it called "Lightroom 5 Catalog.lrcat.lock". If this 'lock' file is there, and you are sure that Lightroom is not active, then delete the lock file (but not of course the proper catalog file which ends in .lrcat). Then try restarting Lightroom.
For future reference, every time Lightroom starts and opens a catalog, it creates an associated 'lock' file which serves the purpose of preventing a catalog being shared with another user (as you've just found out, Lightroom will not open a catalog if a lock file is present). When you close a Lightroom session, that 'lock' file is deleted.
This works fine except when Lightroom terminates abnormally (e.g. a power failure or a system crash), and the lock file can't be deleted. So when you then try to open Lightroom.....gotcha!! So when Lightroom is active, you should see a lock file (so don't go and delete it, that would be bad news!), but when Lightroom is not active there shouldn't be a lock file. All clear?