Listing to Port

I wouldn't sail this ship if I were you
Posts tagged maths

Top ten tens

1. 10. A true classic, ten in base ten is so widespread that it cannot but help be at the top of our list.
2. 101. Ten in ternary. Because you love radix economy, and ternary has radix economy.
3. 14. Because you are interesting and a bit obscure, just like ten in senary.
4. 1010. Where would this list be without ten in binary? Short, that’s where.
5. Fish. The ten of choice for the lazy surrealist.
6. A. Do you like computing? Are you bored of binary? Then ten in hexadecimal may be for you.
7. 12. Ten in octal, perfect for slightly more obscure computing fans.
8. X. For history buffs, Roman numeral ten may be the way to go.
9. 11. The ten of choice for the chronically late.
10. < (well, approximately). For history-buff one-upmanship, why not try ten in Babylonian sexagesimal?

Five fiendish physics problems

1. Consider a perfectly spherical cow of 1 metre diameter and uniform density. This cow needs milking. How are you going to do it?

2. I am pointing a 15 MW laser at the back of your head right now. No, don’t turn around. I’m not asking you to solve this problem, I’m just suggesting that you do have a problem here and asking you to acknowledge it. I probably won’t turn the laser on.

3. Derive Maxwell’s equations. To do this, you will need to use the fundamental constants pi and c. Note: both of these constants are hungry and one of them needs a wee. Your derivation will probably proceed much more smoothly if you can sort out their needs first.  

4. Consider two trains of mass m speeding towards each other. Train 1 is travelling at 50% of the speed of light, and train 2 at 20% of the speed of light. You are a passenger on train 2. Roughly how much energy will be released when they crash, and don’t you think you’d better find a way to get off before answering this question?

5. You are in a Hollywood film in which Love is postulated as the fifth fundamental force. Derive a plausible extension of the Standard Model of particle physics to include the Love Force, based on its observed effects at a macro level (flushed cheeks, hormonal release, last-minute assignations in airports, etc.).

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