How much wood would a woodchuck chuck?
Given that a woodchuck could chuck wood
Stephen Lavelle
This is just a pretty rough sketch of how i would go about it – but it should get the point across.
Given a chucking distance of 1m (seems reasonable) – and a woodchuck of mass 3.3kg (roughly avr. mass), the maximum energy that this wood chuck could have for throwing wood is:
e=mc2
e=3.3*(3*10^8)2=2.97*1017
minimum velocity required to chuck a piece of wood 1m :
s=ut+0.5at2
max efficiency at 45 degrees
(1,0)=(2-0.5)(V,V)+0.5(0,-9.8)(t2);
(2-0.5)=V=0.707
so E=1/2mv2 …looking for m
2.97*1017=0.5*m*(0.7072)
roughly 1*1018 kg of wood could potentially be chucked by a woodchuck operating at maximum efficiency (this is only an approximate maximum limit).
Here’s a basic diagram for apparatus for carrying out the procedure:
There are some other important things to consider as well:
1:This sort of mad chucking would annihilate the woodchuck in the process, and so would be ethically a less than clear-cut question.
2:There is reasonable cause to increase the limit further, because one could allow the woodchuck to eat if his chucking was spread out over a non-singular time, and that would increase the amount he could chuck
(though by a negligible magnitude, which is why i don’t consider it here).
3:Considering the size of a woodchuck, the chucking distance could easily be reduced to half a meter and still be considered a chuck.
4:We currently do not have the technology to carry out this great a reaction, though i am currently applying for funding for a timber/groundhog collider, a massive underground structure 30 kilometers in diameter, to be built in the west of ireland (yes, the west of ireland is greater than 40 kilometers in diameter, or so a detailed inspection i conducted last year reported). This would allow me to test my above upper limit hypothesis to a high degree of accuracy.
5 Comments
Brilliant :)
this is impressive
u guys r weird
huh..?
I am impressed at your detailed interest in the age-old question regarding how much wood could a woodchuck chuck if a woodchuck could chuck wood? In my case, it’s an old-age question. Be that as it may, I don’t think any self-respecting woodchuck could be inticed to chuck wood faster than he or she felt appropriate. If an emergency was to present itself, I’m sure that same woodchuck would scurry forth with alacrity and chuck wood with the best of chuckers. And, in either case, I would hope the venerable woodchuck would stop for a refreshing cup of tea and bit of a sandwich when needed. Good luck with further research.