bad physics of Total Recall

On the airplane home from Spitzer Science Center and LIGO I made the mistake of watching the new Total Recall (2012 remake). (I also made the good decision to watch Men in Black 3 but that is not relevant to this post.) Central to the story is a tunnel through the Earth through which a train called The Fall goes from Britain to Australia in 17 minutes. Important to the plot is a gravity reversal on the journey in the core of the Earth, where the riders on The Fall are briefly weightless, and their chairs rotate from one orientation to the opposite so they are reoriented for arrival.

As everyone in first-year physics (well, for Physics Majors anyway) ought to calculate, the no-air-resistance, free-fall time for this journey (indeed on any straight chord through the Earth) is about 45 minutes (yes, identical to the time to go half-way around the Earth ballistically). That means that if riders were weightless for the entire journey the crossing would take 45 minutes.

The fact that The Fall does the journey faster than that would mean not one gravity reversal but three gravity reversals, because you would have to start the journey accelerating faster than gravity, and end the same. So the whole thing, which was obviously so highly thought out and worked out for the story, was just straight-up wrong.

I think if we ever do dig a chord-like tunnel through the Earth (the Chunnel is getting close to the relevant scale), we probably should run the trips at 45 minutes, because I think for pretty deep reasons this will be very close to minimum-effort travel times. In thinking about this, I have also thought about the relevant engineering gains and safety losses incurred if the Chunnel were operated evacuated of air or at low pressure. There were also idiotic things in the movie related to the implied air pressure, temperature, and air flow in the tunnel outside The Fall but these are more subtle. I digress.

Actually, the excellent MIB3 was even more physically unrealistic than Total Recall (bad time travel and so on), but the tone of the movie made it absolutely clear that you were expected to cut them physics slack.

LHC energy and momentum

Problem: The LHC delivers 8 TeV per particle in bunches of 10¹¹ particles. What is the kinetic energy and momentum of a bunch, in SI units and then as compared to (a) a small-caliber bullet and (b) a Major-League baseball pitch?

I get that the bunch has far more kinetic energy than either a bullet or a baseball pitch, but far less momentum. A LHC particle bunch would burn you badly, but it wouldn't knock you down! Of course there are some 10⁹ bunches per second, so you don't want to be hanging out in the beam line when it's running.

scientific teaching?

I am on a committee at NYU (related to NYU's Morse Academic Program) in which we were given copies of this article on scientific teaching (PDF) by Handelsman et al. The article has many sentences that include the word should, which is a little annoying, but the worst thing about it is that it advocates, repeatedly, basing our teaching methods on scientifically demonstrable successes, measured with metrics. I don't object to being scientifically accountable, and I, for one, use the research-supported techniques of active learning, participatory classroom activities, and peer instruction. However, the article goes on about metrics without giving a single clear example. Why? Because they don't want to undermine their point by bringing up controversial testing strategies. However, we can't be metric-driven if we don't have metrics! So let's all just stop talking about the philosophy of being scientific and find some metrics that we can agree on. I, for one, haven't found anything I like. After all, the goal of physics education is not to create students who perform better on isolated, decontextualized exams like the Force Concept Inventory!

aha moments

I have been pleased to get a few aha moments out of my undergrads this semester in the small, advanced NYU E&M II class I am teaching. The best was when we looked at the Poynting vector in a highly symmetrical ribbon-like circuit with a perfectly cylindrical resistor and we could see the power flowing from the battery to the resistor in the pure field geometry. That's nice! The point of the class is radiation, primarily, so we are about to start really doing that to death.