Phrase Usage – Are ‘The Bank Opens/Closes at 7 am / 4 pm’ and ‘The Bank Is Open/Closed at 7 am / 4 pm’ the Same?

We do not process language by an analysis of grammatical categories.

We interpret the present participle "relaxing" as indicating a progressive sense; a process.

We interpret the perfect participle "relaxed" as indicating completion, an achieved state.

If we choose to interpret participles as adjectives for analytic purposes, they still frequently retain their verbal aspect.

I am drinking

does not not necessarily entail that I have become inebriated.

I am drunk

does so entail.

Now you can rightfully say that my example is comparing a compound verb and an adjective, but the fact remains that the adjective derives from a perfect participle (perfected aspect) rather than a present participle (progressive aspect) and that the adjective describes a state rather than a process.

Another way to say it is that there is no marker that invariably specifies when a participle can only be interpreted as an adjective or only be interpreted as part of a verb. There are cases where a participle is an adjective that has a partially verbal nature.

As a Mac user myself I almost always use "force quit" because that's what the system calls it when you press the keys to bring up the "Force Quit Applications" window. When you open the Task Manager in Windows I believe the terminology is "End Task." When operating in the Terminal (console) environment you might see "kill" because that is the name of the command you enter to end a process.

I would never say that that an application "suddenly" force-quit or force-closed because the "forced" part of the phrase indicates that it stopped working for some reason and then you the user deliberately took an action to close the application even though it was unresponsive. Because you the user are the one taking the action, the verb should be in the passive voice when the subject of the sentence is the application itself: the application was force-quit by you. It cannot force-quit itself, by definition.

If a application unexpectedly quit on its own I would say that it crashed, and especially for video games (which are usually in full-screen mode) you will see the term crash to desktop (CTD) because you were seeing your game and then suddenly you see the desktop instead. This carries a similar implication as a user-initiated force-quit, namely, there was a problem and the program was not able to continue running, and unsaved work was probably lost.

To answer your specific question, I would accept the verb phrases to force quit and to force close but not to force stop (that does not sound idiomatic). They are both verbs, but can be manipulated into other parts of speech just as other verbs can:

The application was force quit.
After a force[d] close, the application will restart in the default configuration.
I had to force quit the game.

and you can even split the phrase up:

I will force the application to close.