Calc Gurren Lagann - Gurren Lagann vs Giant Muganns

Having gotten the values for size and mass for the Giant Muganns again (or Kyo Muganns) previously, now we're just left with the easy part.

1. Gurren Lagann blasts a giant mugann
Gurren Lagann blasts the blue giant mugann, pushing it away from Arc Gurren noticably The bottom of the Mugann's end segments are 3960.39604m wide.
Timeframe is 3 seconds and 5 frames.

T = 1s/24
= 41.6666667ms X 5
= 0.208333333s + 3s
= 3.20833333s

object degree size = 2*atan(Object_Size/(Panel_Height/tan(70/2)))

Click to expand...

= 2*atan(89/(570/tan(70/2)))
= 0.147694129 rad
= 8.46225025058173053 degrees

Now the Blue Kyo Mugann is 26766m away.

L = 26766m - 19057m
= 7709m

T = 7709m/3.20833333s
= 2402.8052m/s

The Blue Kyo Mugann has a low end mass of 3.28380969e15kg and a high end mass of 9.91457924e15kg.

(Low end)
KE = (0.5)mv^2
= (0.5) X 3.28380969e15 X 2402.8052^2
= 9.47949301e21 joules
= 2.2656532050669220268 teratons

(High end)
KE = (0.5)mv^2
= (0.5) X 9.91457924e15 X 2402.8052^2
= 2.86207769e22 joules
= 6.840529851816444129 teratons

2. Gurren Lagann drags Giant Mugann
Gurren Lagann is trapped by the Giant Purple Mugann, but just drags it behind it and crashes into Arc Gurren, igniting their combination into Arc Gurren Lagann. The Giant Blue Mugann's lower segments are 28316.8317m long.
Timeframe is 16 frames.

T = 1s/24
= 41.6666667ms X 16
= 0.666666667s

56 pixels = 28316.8317m
1 pixel = 28316.8317m/56 = 505.657709m
505.657709m X 49 = 24777.2277m

Let's get the speed.

T = 24777.2277m/0.666666667s
= 37165.8415/340.29
= Mach 109.218142

Now for the kinetic energy. The Giant Purple Mugann has a low end mass of 8.00410598e15kg and a high end mass of 2.41662431e16kg.

(Low end)
KE = (0.5)mv^2
= (0.5) X 8.00410598e15 X 37165.8415^2
= 5.52803489e24 joules
= 1.321232048279158855 petatons

(High end)
KE = (0.5)mv^2
= (0.5) X 2.41662431e16 X 37165.8415^2
= 1.66904131e25 joules
= 3.9891044694072657073 petatons

3. Final Mugann flies towards Arc Gurren Lagann
The Final Mugann flies towards Arc Gurren Lagann, who halts it and matches it's power for several seconds. Though it doesn't look like much, keep in mind just how massive the Final Mugann is. Given it moves in a straight line, this is more or less straightforward. The Final Mugann is 55105.6106m.
The timeframe is 2 seconds and 20 frames.

T = 1s/24
= 41.6666667ms X 20
= 0.833333334s + 2s
= 2.83333333s

Next to find the distance it travelled in the timespan.

65 pixels = 55105.6106m
1 pixel = 55105.6106m/65 = 847.778625m
324 - 184 = 140
847.778625m X 140 = 118689.008m

T = 118689.008m/2.83333333s
= 41890.2382/340.29
= Mach 123.101585

Then we get out kinetic energy. The Final Mugann has a low end mass of 1.12879157e16kg and a high end mass of 3.40808223e16kg.

(Low end)
KE = (0.5)mv^2
= (0.5) X 1.12879157e16 X 41890.2382^2
= 9.9039724e24 joules
= 2.3671062141491399089 petatons

(High end)
KE = (0.5)mv^2
= (0.5) X 3.40808223e16 X 41890.2382^2
= 2.99023781e25 joules
= 7.1468398900573610888 petatons

4. Final Mugann's mass energy
This is the greatest, yet easiest one. As noted by Leeron and Rossiu, when defeated, mugann's turn into energy and explode.
And something as big and heavy as the Final Mugann would create an immense amount of energy.

(Low end)
E = mc^2
= 1.12879157e16 X 299792458^2
= 1.01450727e33 joules
= 242.47305688336521712 zettatons

(High end)
E = mc^2
= 3.40808223e16 X 299792458^2
= 3.06303155e33 joules
= 732.08211042065011043 zettatons

Final Results
Gurren Lagann blasts Giant Mugann (low end) = 2.266 teratons
Gurren Lagann blasts Giant Mugann (high end) = 6.841 teratons
Gurren Lagann slams into Arc Gurren = Mach 109.218
Gurren Lagann drags Giant Mugann (low end) = 1.321 petatons
Gurren Lagann drags Giant Mugann (high end) = 3.989 petatons
Final Mugann flight speed = Mach 123.102
Final Mugann's kinetic energy (low end) = 2.367 petatons
Final Mugann's kinetic energy (high end) = 7.147 petatons
Final Muganns mass energy (low end) = 242.473 zettatons
Final Mugann's mass energy (high end) = 732.082 zettatons