I finished my (own) work.
Ман ҳозир ба кор меравам.
I am going to work now.
As in English, the word кор (work) has several meanings. It can mean a task or tasks (as in the first sentence), a job (as in the second sentence) and a transfer of energy (physics).
кор кардан: to work
кор доштан: to have work, to be busy
корхона: workplace (office, factory etc.)
Compound words can also be formed by combining a noun with кор to give another noun, a person. Example:
пахтакор: cotton farmer