xkcd

A popup will appear asking you to buy the "Extended Physics" DLC

That's actually how black holes are made

if people only bothered to think about things that exist (especially things that they think exist) we would probably go the way of the dodo. funnily enough that would prevent the dodos from going that way but whatever.

I highly recommend watching the Vsauce video on supertasks—it's a great video as expected from Vsauce but also ends on a great note about people and their tendency to think about things like this.

Neutrinos are pretty close to an unstoppable force: they can pass right through the earth without being stopped.

I believe this is an expectation of dark matter, to being even closer to an unstoppable force. Perhaps a reason we haven’t found it yet would a because we don’t have a detector that can stop it

You clearly haven't met my mother.

There are some pretty close physical analogs that are fun to think about. You cant move a black hole by exerting physical force on it in the normal way so practically infinite gravity wells are like a immovable "object", though if you're sufficently nerdy enough you can cook some fun ways to harness its gravitational rotation into a kind of engine, or throw another black hole at it to create a big explosion and some gravitational waves which are like a kind of unstoppable force moving at the speed of light.

These kinds of contradicitons exist in man made structures, such as laws, rules and regulations. In situations like that, a judge has to pick which rule to follow and which one to ignore. The first time that happens, it becomes the standard solution (precedent) for those kinds of problems.

It can bother people who believe in omnipotent deities.

Force is not a thing that moves. Force is what is applied to an object. In this "answer" whatever is shown and depicted as force is not force.