Episode 035 = Lunar Cheese Pops and Physics Bullet Drops

2022-06-06
00:41:43

News: Bec was a talking kangaroo
00:02:26–00:04:27

Bec has been doing some voice-overs for the kangaroo in an exercise program for the Yoto player. She also made chicken noises.

News: Matt bought a pair of shorts
00:04:27–00:08:31

One of the highlights of his trip to Australia was buying a $1 pair of shorts. They're probably haunted.

Problem 035-1 = How long would it take us to eat the moon if it was made of cheese?
00:08:36–00:24:05

Problem poser: Will, via Problem Posing Page
Problem solver: Bec

Problem statement

If the moon was made of cheese, how long would it take for the people of Earth to consume it entirely? Assuming people will consume cheese at the same rate as now, there's no issue with transporting the cheese, and the moon is by volume, not mass.

Solution attempt

Matt has never understood the "the moon is cheese" joke. There's no proof that anybody ever seriously believed it, but it appears in folklore. The most common cheese around the time the story originated would be feta.

Bec computes the amount of cheese the moon would be, and uses the UK's cheese consumption, but focused entirely onto moon feta and scaled up onto the entire world. In total, it would take us roughly 310 billion years to eat the moon, though the sun might fondue it before we finish.

If instead we all ate as much cheese as possible, and using the stomach capacity from problem 002-1, the moon would be gone in only 4 billion years. This fits nicely within the remaining life time of the solar system of 5 billion years.

Ding

A big old cheesy ding from Matt, combined with a Beardyman ding

Problem 035-2 = If you shot and dropped a bullet at exactly the same time, would they hit the ground simultaneously?
00:24:09–00:36:42

Problem poser: Jay
Problem solver: Matt

Problem statement

I heard somebody say today that if you shot a bullet and dropped a bullet at the same time, they would hit the ground at the same time. I generally agree with this, but I have a problem: If the bullet travels in a straight line over a long enough distance, I would think the curvature of the Earth comes into it. The Earth falls away, meaning the bullet would have to fall further than the one just dropped. So my problem is: How much does the Earth drop away, and how much longer does the bullet take to hit the ground because of it?

Solution attempt

Assuming you're shooting the bullet perfectly horizontally, and assuming there is no air, and assuming that the earth is flat, Jay is correct in that they'd both hit the ground at the same time. Bec diverts the topic onto the Matrix movies.

The idea of bullets going faster than the Earth drops away is exactly how satellites stay in orbit. If you dug a hole all the way through the Earth, the dropped bullet would arrive at the other side of the Earth at exactly the same time as the shot bullet, so the same principle still works. The max speed of the dropped bullet is exactly the same speed as the shot bullet. Bec demands Matt's working out; he gladly obliges.

Given any planet of any size, and any arbitrary hole through it, as long as it has the density of the Earth, a dropped object will always take 42 minutes to reach the other side of the hole.

Ding

A "I think that's a ding" by Bec