A mutex is a synchronization object. You acquire a lock on a mutex at the beginning of a section of code, and release it at the end, in order to ensure that no other thread is accessing the same data at the same time. A mutex typically has a lifetime equal to that of the data it is protecting, and that one mutex is accessed by multiple threads.
A lock object is an object that encapsulates that lock. When the object is constructed it acquires the lock on the mutex. When it is destructed the lock is released. You typically create a new lock object for every access to the shared data.