The Energy Behind Godzilla's Atomic Ray

 Godzilla Atomic RayOne of Godzilla's most famous aspects is his atomic breath.  This radioactive beam is emitted from his mouth to attack foes and annoyances from a distance.  While he has been shown to be able to control the intensity of his beam, here I will be focusing on an instance he uses it for the finale of the movie Godzilla: Final Wars (2004).  This is the climactic battle against Keizer Ghidorah, a giant (100,000 tons/90718474kg) space dragon being used by aliens to conquer the earth.  At the very end of the brawl Godzilla tosses him into the air and blasts him into what appears to be the border of space, commonly thought to be about 100 kilometers above the surface of the earth.
Keizer Ghidorah



It took approximately 12 seconds for Keizer Ghidorah to reach the upper atmosphere so his velocity is given by:

sf/t = si + v ~~100000m/12s=0+v=8333.3m/s
And his acceleration is given by:
vfx/t=vi+a~~8333.3m/s/12s=0+a=694.4m/s^2

The energy Keizer Ghidorah must have had at the upper atmosphere must thus be given by:

Total E=PotentialE+KineticE=mgh+.5mv^2
=
9.1*10^7kg*9.81m/s^2*100000m+.5*9.1*10^7kg*8333.3^2
=
3.25*10^15 Joules

       

            Converting to power we would divide by the amount of time to get 2.71*10^14 watts or 8.942*10^8 kilowatt hours.  For comparison, the standard American nuclear power plant generates approximately 5000 kWh of energy for the same amount of time.  For another comparison, the atomic bomb Little Boy exploded with an energy of 15 kilotons of TNT.  Some simple conversion factors show that number of kilotons factor into a result of about 1.7*10^7 kWh of energy released, or about 2% of the energy Godzilla unleashed with his atomic ray.

As you may have been able to tell, there are a lot of silly impossibilities in the Godzilla film series even beyond , though it is rather amusing to try and give some hard numbers to some of the sillier aspects.  It must be recognized that many of these calculations are severely inhibited by factors such as air resistance due to the immense size of the creatures we're dealing with, it is still fun to get a sense of the magnitude of the forces we're dealing with.

                                                                                                                                                                                                                                                                                                                                             
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