1
vote
1answer
56 views

Measuring the nearest order of magnitude

The world's largest ball of a string is about $R=2 m$ in radius. To find the nearest order of magnitude, what is the total length $L$ of the string in the ball? I have tried this in the following ...
0
votes
1answer
52 views

What is a realistic launch speed of a grappling hook gun? [closed]

In The Dark Knight, at the end of the movie Batman throws the Joker off of a building and then shoots his grapple hook gun to catch him. Is 68m/s a reasonable speed for a grapple gun to shoot?
0
votes
1answer
57 views

Is it possible to reach lower temperatures than the Boyle temperature in de van der Waals equation?

We know that for a real gas we can write a virial expansion in powers of $p$: $$pV=Nk_{B}T+B(T)p+\cdots$$ It results that the van der Waals equation: ...
2
votes
2answers
227 views

Modeling galactic colonization

I found a really cool sounding order-of-magnitude modeling question but am a bit at a loss on how to approach this: The Milky Way contains 100 billion stars and has a radius of 250,000 light ...