Restoring Database when system can't find filepath specified
The file path is simply V:\someFile.bak


V: relative to WHAT machine?


  I have been trying to load this into SQL Server Management Studio via the 
  command


No, you have not. You have instructed SSMS to send this command to the server, which will execute it ON THE SERVER.

At no point is SSMS loading anything.

The typical mistake here would be that you have a V: drive attached to your local machine and then think that the server will find the file under V: - it will not. The file must be reachable for the SERVER process, not you.

And SSMS only acts as a glorified text editor in this case, sending your command to the database server.