## How Powerful are The Elements of Harmony? Rich Text Content

One of the most powerful artifacts that exist in the My Little Pony Universe are The Elements of Harmony, which there are six of. The Elements of Harmony were first found growing on the Tree of Harmony by Princesses Celestia and Luna, and were used to imprison Discord in stone. They were later used to banish Nightmare Moon to the moon. A thousand years later they were used by the mane 6 to turn Nightmare Moon back into Luna, and then used to turn Discord back into stone after he escaped.

The thing that we want to know is, just how powerful are they?

The following scene shows when Princess Celestia banishes Nightmare Moon to the moon:

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The distance above the ground that the two of them are flying is insignificant compared to the 3.8498 * 10^8m distance between the earth and the moon.

I interpreted the first instant that Nightmare Moon begins traveling from Earth to the moon as the first frame that changes the camera angle to where it's positioned between Nightmare Moon and the Moon. The moment the screen flashes completely white is what I interpreted as her arrival at the moon. This is from 48.882s to 51.918s.

51.918 - 48.882 = 3.036 seconds

The animation suggests that an energy ball created by the Elements first engulf Nightmare Moon and fill her with a huge amount of energy. This energy is then used to apply a constant force directed straight towards the moon. There is also the constantly changing force from the Earth and the Moon.

Here I plugged the values of the initial displacement of 6.371*10^6 meters, until the object reaches 3.831606*10^8 meters away from the earth (the surface of the moon), and solved for the acceleration due to the elements based on a step of .000001 seconds, with a time error of 1*10^-10 seconds. You can download the program used below.

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This yields a value of acceleration due to the elements = 81757141.113 m/s^2.

Now that we have our acceleration, we can figure out the force that the elements were applying for that 3.036 second period.

F = ma

F = 81757141.113 m/s^2 * 61.523 kg = 5029944592.695099 N

With our Force we can figure out the work done.

W = F * d

W = 5029944592.695099 Newtons * 376789600 meters

W = 1.895230811103749*(10^18) Joules

And with the work and the time we can solve for power

P = W/t

P = 1.895230811103749*(10^18) Joules / 3.036 seconds

P = 6.2425×10^17 Watts

(Obligatory "horse power" conversion: 8.371×10^14 horsepower)

So, just how powerful is 6.2425*(10^17) Watts, and 1.8952*(10^18) Joules?

The peak power of the most powerful laser is about 1.25x10^15 Watts. 500 of these lasers would produce the same amount of power.

The mean solar power intercepted by the earth is about 2x10^17 Watts, which is 3.6 times less powerful.

As for the 1.8952*(10^18) Joules, the most powerful bomb ever created, the Tsar Bomba, released 2.1*(10^17) Joules of energy when it exploded.

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So, The Elements released about 9 times the energy that bomb did.

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