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What would happen to you if a black hole the size of a coin
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suddenly appeared near you?
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Short answer: you’d die.
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Long answer: it depends.
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Is it a black hole with the mass of a coin,
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or is it as wide as a coin?
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Suppose a US nickel with the mass of about 5 grams
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magically collapsed into a black hole.
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This black hole would have a radius of about 10 to the power of −30 meters.
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By comparison, a hydrogen atom is about 10 to the power of −11 meters.
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So the black hole compared to an atom is as small as
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an atom compared to the Sun.
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Unimaginably small!
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And a small black hole would also have an unimaginably short lifetime
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to decay by Hawking radiation.
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It would radiate away what little mass it has in 10 to the power of −23 seconds.
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Its 5 grams of mass will be converted to 450 terajoules of energy,
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which will lead to an explosion roughly 3 times bigger than
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the atomic bombs dropped on Hiroshima and Nagasaki combined.
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In this case, you die.
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You also lose the coin.
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If the black hole had the diameter of a common coin,
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then it would be considerably more massive.
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In fact, a black hole with the diameter of a nickel
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would be slightly more massive than the Earth.
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It would have a surface gravity a billion billion times greater
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than our planet currently does.
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Its tidal forces on you would be so strong
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that they’d rip your individual cells apart.
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The black hole would consume you before you even realized what’s happening.
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Although the laws of gravity are still the same,
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the phenomenon of gravity that you’d experience would be very different
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around such dense objects.
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The range of the gravitational attraction
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extends over the entire observable universe,
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with gravity getting weaker the farther away you are from something.
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On Earth right now, your head and your toes are approximately the same distance
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from the center of our planet.
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But if you stood on a nickel-sized black hole,
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your feet would be hundreds of times closer to the center,
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and the gravitational force would be tens of thousands of times as large
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as the force on your head and rip you into a billion pieces.
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But the black hole wouldn’t stop with just you.
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The black hole is now a dominant gravitational piece
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of the Earth–Moon–Black-Hole-of-Death system.
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You might think that the black hole would sink towards the center of the planet
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and consume it from the inside out.
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In fact, the Earth also moves up onto the black hole and begins to bob around,
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as if it were orbiting the black hole,
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all while having swathes of mass eaten with each pass,
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which is much more creepy.
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As the Earth is eaten up from the inside,
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it collapses into a scattered disk of hot rock,
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surrounding the black hole in a tight orbit.
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The black hole slowly doubles its mass by the time it’s done feeding.
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The Moon’s orbit is now highly elliptical.
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The effects on the Solar system are awesome—
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in the Biblical sense of awesome, which means terrifying.
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Tidal forces from the black hole would probably disrupt the near-Earth asteroids,
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maybe even parts of the asteroid belt,
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sending rocks careening through the Solar system.
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Bombardment and impacts may become commonplace
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for the next few million years.
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The planets are slightly perturbed, but stay approximately in the same orbit.
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The black hole we used to call Earth will now
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continue on orbiting the Sun in the Earth’s place.
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In this case, you also die.
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This bonus video was made possible by your contributions on Patreon.
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Thank you so much for your support!
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The topic is based on a question on the AskScience subreddit
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and the glorious answer by Matt [Caplin?], who also worked with us on this video.
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Check out his blog, Quarks and Coffee, for more awesome stuff like this!
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If you want to discuss the video, we have our own subreddit now.
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To learn more about black holes or equally interesting neutron stars, click here.
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Subtitles by the Amara.org community