Calc Empire Strikes First (Power Rangers)

Calculations
First ep of S.P.D., Emperor Gruumm blows up a planet for kicks. I can't find the episode online, but have a gif.

AmaOoKE.gif



Let it be known that I used every other frame of the scene because I wanted the gif to be small. I'm not manipulating the feat or anything :cat

Anyway, it's pretty obvious that the mass was scattered rather fast. Much of the expansion (that we can see, anyway) was finished within just 7 frames. 29fps is this episode's frame-rate, making the time-frame 7/29ths of a second. Now it looks like much of the mass was scattered at least maybe twice the radius of the planet itself in that time-frame. Somewhat arbitrary, but I didn't feel like meticulously scaling anything. And, I mean...look at that explosion. (Also, the next paragraph will further corroborate a larger distance.)

How big is the planet? Well Mora, 10-year-old Satan that she is, asks why Gruumm is even bothering to attack Earth because it's so comparatively minuscule to their normal targets. So as a major low-end, the radius would be Earth's. Twice that would be the diameter, which is 12742km on average.

12742000/(7/29)=52788285.7m/s

That's relativistic right there. So let's bust out the relativistic KE equation.

E=(mc^2/sqrt(1-(v^2/c^2)))-mc^2

Mass of Earth is 5.972E24kg.

(5.972E24*299792458^2/sqrt(1-(52788285.7^2/299792458^2))-(5.972E24*299792458^2)=8.5e39J

or about 2 tenatons.

Gruumm didn't personally do this, but he ordered his subordinates to do it on a whim, meaning there was no prep for it. Dunno what it does for S.P.D. as of now, but it seems the least it would scale to is Astronema's highly-prepped Dark Specter-busting missile, especially considering Dark Specter's armada will have had superior tech.

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