How Many Light Years Away From the Sun Are We?

iStock.com/BlackJack3D
iStock.com/BlackJack3D

Viktor T. Toth:

You could look up the numbers easily enough: The astronomical unit (the average distance between the Earth and the Sun) is defined as exactly 149,597,870,700 meters, whereas the light year is defined as the distance covered by light in a Julian year (365.25 days), which means exactly 9,460,730,472,580,800 meters. The rest is a simple division.

But instead of typing 149597870700/9460730472580800 into Google for you (yes, Google can serve as your calculator) let me show you how you can estimate the answer to this question reasonably accurately without looking up anything or using any calculator, so long as you remember two useful numbers.

It is not hard to remember that the Earth-Sun distance is roughly 150 billion meters; that is, the digits 15 are followed by 10 zeroes.

It is also not too hard to remember that a light year is roughly 10,000 trillion meters; that is, the digit 1 is followed by 16 zeroes.

So 15 followed by 10 zeroes divided by 1 followed by 16 zeroes … that's the same as 15 followed by no zeroes at all divided by 1 followed by 6 zeroes; or 15 parts in a million. And that answer is correct within about 5.5 percent.

[The error is due mainly to the fact that the light year is overestimated by more than 5 percent, so we underestimated the ratio. "Boosting" that 15 parts in a million by an extra 5 percent gives 15.8 parts in a million, which is actually quite accurate. But at this point, you’re probably better off using a calculator after all.]

This post originally appeared on Quora. Click here to view.

What’s the Difference Between Crocheting and Knitting?

djedzura/iStock via Getty Images
djedzura/iStock via Getty Images

With blustery days officially upon us, the most pressing question about your sweaters, scarves, hats, and mittens is probably: “Are these keeping me warm?” If you’re a DIY enthusiast, or just a detail-oriented person in general, your next question might be: “Were these knitted or crocheted?”

Knitting and crocheting are both calming crafts that involve yarn, produce cozy garments and other items, and can even boost your mental well-being. Having said that, they do have a few specific differences.

To knit, you need needles. The size, material, and number of those needles depends on the project; though most traditional garments are made using two needles, it’s also possible to knit with just one needle, or as many as five. But regardless of the other variables, one or both ends of your knitting needles will always be pointed.

While crocheting calls for a similar long, thin tool that varies in size and material, it has a hooked end—and you only ever need one. According to The Spruce Crafts, even if you hear people refer to the tool as a crochet needle, they’re really talking about a crochet hook.

crotchet hook and garment
jessicacasetorres/iStock via Getty Images

Part of the reason you only use one hook brings us to the next difference between crocheting and knitting: When crocheting, there’s only one “active loop” on your hook at any given time, whereas knitting entails lining up loops down the length of your needles and passing them between needles. The blog Darn Good Yarn explains that since each loop is attached to a long row of stitches, accidentally “dropping” one off the end of your needle might unravel the entire row.

Of course, you have a better chance of avoiding that type of manual error if you’re using a knitting machine or loom, which both exist. Crocheting, on the other hand, has to be done by hand. Since machines can create garments with extremely small stitches, some knit clothes can be much more lightweight or close-fitting than anything you’d be able to crochet—and knitted clothes can also be mass-produced.

When it comes to what the items actually look like, crochet stitches characteristically look more like knots, while knit stitches seem flatter and less bulky. However, materials and techniques have come a long way over the years, and now there’s more crossover between what you’re able to knit and crochet. According to The Spruce Crafts, socks and T-shirts—traditionally both garments that would be knitted—can now technically be crocheted.

knitting needles and garment
Sedan504/iStock via Getty Images

And, believe it or not, knitting and crocheting can even be used to depict complicated mathematical concepts: see what a crocheted hyperbolic plane, Lorenz manifold, and more look like here.

Have you got a Big Question you'd like us to answer? If so, let us know by emailing us at bigquestions@mentalfloss.com.

What Happens to Leftover Campaign Funds When a Candidate Drops Out?

After nearly one year of campaigning for the Democratic presidential nomination, Kamala Harris has officially bowed out of the 2020 election. She's not the only would-be president to call it quits so far. So what happens to all the leftover campaign funds when a candidate drops out?

One thing's for sure: Upset candidates can't console themselves by putting the dough toward a new yacht and sailing off to recuperate. The Federal Election Commission has strict rules about what federal candidates can and can't do with leftover campaign money, and the biggest directive is that they can't pocket it for personal use.

Here's what a campaign committee is allowed to do with any lingering cash: it can donate the funds to charities or political parties; it can contribute $2000 per election to other candidates; and it can save the money in case the candidate chooses to run again. However, those regulations don't apply to the relatively new super PACs (Political Action Committees); this is only the third election where they have played a role, and there are currently no rules to stipulate what happens to that money beyond that it cannot go to fund another federal candidate. Much of that money tends to be returned to its original donors, used to wrap up the failed campaign, or donated to back a state-level candidate. The goal, however, is always to spend all of that money.

Running a campaign is an expensive proposition—Barack Obama spent nearly $750 million on his 2008 White House bid, and in 2012 he spent $985 million on reelection while challenger Mitt Romney spent $992 million—and insufficient cash is often a reason campaigns go belly up.

As for winning (or sometimes losing) politicians, they'll often put their leftover funds toward their next race. If they choose not to run, they have to abide by the same FEC rules. Wonder why this law is in effect? Until 1993, U.S. Representatives who took office before January 8, 1980, were allowed to keep any leftover campaign cash when they retired, but a study showed that a third of Congress kept and spent millions in campaign donations on personal items like clothing, jewelry, artwork, personal travel, and dry cleaning. Embarrassed, Congress passed a law negating this custom for the House; the Senate already had provisions in place so this wouldn't happen.

In reality though, officials can usually find a way to make that cash still work for them (and state laws differ from federal ones). After Chris Christie won reelection as New Jersey's governor in 2014, his campaign was granted permission to use some of its remaining war chest to cover the legal fees Christie incurred during the Bridgegate scandal. And this was well before he dropped $26.7 million on his failed 2016 presidential bid.

An earlier version of this article originally ran in 2012.

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