Quote: Originally posted by alexleyenda | [...]
The only thing related to physics I see which could a bit explain Joker's statement (which remains false anyways) is that when energy is dispersed in
a spheric 3D way, the power decreases in a cubic way because the area covered by the power increases in a cubic way, so the power becomes a lot less
concentrated very fast in comparison with the radius (linear distance from the explosion). The power of small amount of explosive can get "diluted" so
fast that it appears that using a bigger charge is a lot more powerful as it takes more distance ( a bit more than a linear relation) for the power to
be cubic rooted down to the same level.
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There are some errors in your last paragraph:
The power is not inversely proportional to the cube of the distance, but to the square of the distance. Assume that power is transmitted as a
spherical shockwave and no power is lost between center of explosion and the distance where the explosion is observed. The power is distributed over a
sphere, whose surface area is proportional to the distance of center of explosion. So, this makes the perceived impact of the explosion inversely
proportional to the square of the distance from the center of explosion. In reality, the exponent will be slightly larger than 2, but much less than
3, due to losses of power (e.g. frictional losses between air molecules while the shock wave travels through the air).
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