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You might find this book interesting, it answers your question (among many things) with multiple scenarios of different asteroid size and the impact effect it might have on Earth.

Book is called Death from the Skies!: The Science Behind the End of the World by Philip Plait Ph.D.

If you like this, read his book - Death from the Skies, its absolutely fascinating and covers all the stuff the universe can throw at us and wipe us out. Its not all depressing though and is handled with humour and wit, and rock solid science. I found the description of how a supernova takes place particularly interesting.

Great book that covers these types of things: https://www.amazon.com/Death-Skies-Science-Behind-World-ebook/dp/B001FA0LY4/ref=sr_1_1

Pick up something like Death from the Skies! by Phil Plait of Bad Astronomy fame. He does a really good job of explaining black hole formation, what they do, etc... for us normies. Death by Black Hole by Neil deGrasse Tyson is another good one.

I was reading a bit of Phil's book last night, and he even had a neat thought experiment of what would happen if a black hole with a mass of 10 billion tons (about as much as a small mountain) intersected Earth? A black hole of that mass would be smaller than an atom.

At any rate, the game gets black holes confused with theoretical wormholes/Einstein-Rosen bridges, so it's kinda pointless to give it too much thought.

If we deliberately aimed our ships at a black hole (even though we'd just see the event horizon/accretion disc, not the black hole itself), we'd undergo spaghettification before being destroyed and compressed into the singularity, so... yeah.

It's not like we'd somehow pop out the elsewhere in Euclid, with just some broken ship tech. We'd be dead, period.