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this isn't HW, it is more for myself, I don't want answers or links to arvix papers... im stuck and I just need something to help me proceed... a 10^20 ev proton strikes the atmosphere a km up and creates a vertical down to the ground, the energy is evenly distributed along this vertical, assume all the energy is converted to sound, up to what distance will this sound be audible... here's where I am... I think I want to find the intensity and see what it is at some distance away from the vertical... Intensity=Power/Area... for area I use (2r)(pi)(h)+(2pi)(r^2)... is this right? now I don't know how to get the power, do I just do Energy over time where the time is the time it takes the particle to travel a km, or do I use some other equation for power (I looked through some... I found it in terms of sound pressure, and then the sound pressure is in terms of particle velocity, angular momentum, or displacement, im assuming this refers to the air particles, and im not sure how to get any of these from energy) Any help would be greatly appreciated, it doesn't have to be eloquent, anything that I can use! I wanted to do this by myself but searching for reliable explanations of formulas on the internet is so frustrating =(

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