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Bouncy Balls

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Bouncy Balls

What if one were to drop 3,000 bouncy balls from a seven story parking structure onto a person walking on the sidewalk below? Should the person survive, what would be the number of bouncy balls needed to kill them? What injuries would occur and what would the associated crimes be?

—Ginger Bread

After falling from seven stories, the mass of bouncy balls would be moving at about 20 meters per second.

20 meters per second is about how fast an average person with a good arm could throw a bouncy ball. Therefore, to determine the result of an impact, we can make use of what Einstein called a gedankenexperiment, or "thought experiment":

In science, it's important that results be repeatable, so let's try that again:

The tricky thing about this scenario is that 3,000 one-inch bouncy balls is not as many as you probably think—it'd be enough to fill a large bucket.

This bucket would weigh about as much as a small child, which leads us to another gedankenexperiment:

Of course, in reality, the average person can't throw a small child as fast as they can throw a bouncy ball.[citation needed] Furthermore, they won't all fall in one clump. If you poured the balls from a container, they would bounce around and spread out as they fell, and most of them would probably miss the target.

This effect was demonstrated in an experiment by Utah State University students, who poured 20,000 bouncy balls from a helicopter as part of their Geek Week. The balls fell as a cloud, rather than a single mass.

If you wanted to be sure of killing someone, you'd need a lot more balls. 3,000,000 of them—enough to fill a large room—would be be enough to guarantee that the target would either be crushed to death by the impact or buried too deep to dig themselves out.

To your last question, if someone just happened to walk underneath when you dropped the bouncy balls, and they were killed by the impact, you'd most likely be guilty of some form of manslaughter.

However, by asking this question, you've shown your intent to cause harm to the victim, demonstrating clear malice aforethought. By writing in to this blog, you've probably upgraded your charge to murder.

All in all, you should probably stick to gedankenexperiments.

Drain the Oceans

How quickly would the ocean's drain if a circular portal 10 meters in radius leading into space was created at the bottom of Challenger Deep, the deepest spot in the ocean? How would the Earth change as the water is being drained?

–Ted M.

I want to get one thing out of the way first:

According to my rough calculations, if an aircraft carrier sank and got stuck against the drain, the pressure would easily be enough to fold it up[1]Extrapolated from the maximum pressure tolerable by icebreaker ship hull plates http://www.iacs.org.uk/document/public/Publications/Unified_requirements/PDF/UR_I_pdf410.pdf and suck it through. Cooool.

Just how far away is this portal? If we put it near the Earth, the ocean would just fall back down into the atmosphere. As it fell, it would heat up and turn to steam, which would condense and fall right back into the ocean as rain. The energy input into the atmosphere alone would also wreak all kinds of havoc with our climate, to say nothing of the huge clouds of high-altitude steam.

So let's put the ocean-dumping portal far away—say, on Mars. (In fact, I vote we put it directly above the Curiosity rover; that way, it will finally have incontrovertible evidence of liquid water on Mars's surface.)

What happens to the Earth?

Not much. It would actually take hundreds of thousands of years for the ocean to drain.

Even though the opening is wider than a basketball court, and the water is forced through at incredible speeds,[2]xkcd.com/969 the oceans are huge. When you started, the water level would drop by less than a centimeter per day.

There wouldn't even be a cool whirlpool at the surface—the opening is too small and the ocean is too deep.[3]An experimental study of critical submergence to avoid free-surface vortices at vertical intakes (It's the same reason you don't get a whirlpool in the bathtub until the water is more than halfway drained.)

But let's suppose we speed up the draining by opening more drains. (Remember to clean the whale filter every few days), so the water level starts to drop more quickly.

Let's take a look at how the map would change.

Here's how it looks at the start:

And here's the map after the oceans drop 50 meters:

It's pretty similar, but there are a few small changes. Sri Lanka, New Guinea, Great Britain, Java, and Borneo are now connected to their neighbors.

And after 2000 years of trying to hold back the sea, the Netherlands are finally high and dry. No longer living with the constant threat of a cataclysmic flood, they're free to turn their energies toward outward expansion. They immediately spread out and claim the newly-exposed land.

When the sea level reaches (minus) 100 meters, a huge new island off the coast of Nova Scotia is exposed—the former site of the Grand Banks.

You may start to notice something odd: Not all the seas are shrinking. The Black Sea, for example, shrinks only a little, then stops.

This is because these bodies are no longer connected to the ocean. As the water level falls, some basins cut off from the drain in the Pacific. Depending on the details of the sea floor, the flow of water out of the basin might carve a deeper channel, allowing it to continue to flow out. But most of them will eventually become landlocked and stop draining.

At 200 meters, the map is starting to look weird. New islands are appearing. Indonesia is a big blob. The Netherlands now control much of Europe.

Japan is now an isthmus connecting the Korean peninsula with Russia. New Zealand gains new islands. The Netherlands expand north.

New Zealand grows dramatically. The Arctic Ocean is cut off and its the water level stops falling. The Netherlands cross the new land bridge into North America.

The sea has dropped by two kilometers. New islands are popping up left and right. The Caribbean Sea and the Gulf of Mexico are losing their connections with the Atlantic. I don't even know what New Zealand is doing.

At three kilometers, many of the peaks of the mid-ocean ridge—the world's longest mountain range—break the surface. Vast swaths of rugged new land emerge.

By this point, most of the major oceans have become disconnected and stopped draining. The exact locations and sizes of the various inland seas are hard to predict; this is only a rough estimate.

This is what the map looks like when the drain finally empties. There's a surprising amount of water left, although much of it consists of very shallow seas, with a few trenches where the water is as deep as four or five kilometers.

Vacuuming up half the oceans would massively alter the climate and ecosystems in ways that are hard to predict. At the very least, it would almost certainly involve a collapse of the biosphere and mass extinctions at every level.

But it's possible—if unlikely—that humans could manage to survive. If we did, we'd have this to look forward to:

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qrasher
4145 days ago
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9 public comments
internetionals
4137 days ago
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Look out solar system, here we come...
Netherlands
euge521
4158 days ago
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it is for adults ...
marten
4158 days ago
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Shared because of the second illustration. But disappointed at the lack of a reference to the Sony Bravia commercial from 2005.
Groningen
knicpfost
4158 days ago
that is the only commercial i have ever saved to my hard drive to watch repeatedly.
fredw
4151 days ago
link?
knicpfost
4151 days ago
http://vimeo.com/14504562 ... turn on HD!
fredw
4151 days ago
Thank you!
richard4339
4158 days ago
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This might be my favorite what if.
Sycamore, IL
knowtheory
4158 days ago
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I'm beginning to suspect that WhatIf is just an excuse to search youtube for unusual videos.
tedder
4159 days ago
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had me at "the average person can't throw a small child as fast as they can throw a bouncy ball.".
Uranus
JimRPh
4158 days ago
Actually, it leads to the "how many small children" question.
mkalus
4159 days ago
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:)
iPhone: 49.287476,-123.142136
stavrosg
4159 days ago
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This.
Rodos, Greece
rclatterbuck
4159 days ago
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.
ksteimle
4159 days ago
Point of fact: the link for "citation needed" points to http://en.wikipedia.org/wiki/Cetacean Randall Munroe is awesome.
jheald1
4159 days ago
Point of fact: the link to Wikipedia's "citation needed" page includes an xkcd comic. :http://en.wikipedia.org/wiki/Wikipedia:Citation_needed
ksteimle
4159 days ago
Ha! how awesome!
rgsunico
4159 days ago
Crazy!