More yet Voltron calcs.
Final Results
Yalex destroys a moon (low end) = 103.783 teratons
Yalex destroys a moon (high end) = 70.203 petatons
Pidge survives moons destruction (low end) = 672.853 tons of TNT
Pidge survives moons destruction (high end) = 5.906 kilotons
Zarkon destroys Altea = 5.155 tenatons
1. The Yalex destroys a moon
The Yalex destroys a moon by awakening. Low end of with Saturns moon Dione, which has a diameter of 396km, and a high end of Luna, which has a diameter of 3476.2km.
(Low end)
396km/2 = 198km (198000m)
890 pixels = 396km (396000m)
1 pixel = 396000m/890 = 444.94382m
444.94382m X 67 = 29811.2359m
Volume as a sphere.
V = 4/3πr^3
= 4/3 X π X 198000^3
= 3.25150316e16m^3
R = 198000m - 29811.2359m
= 168188.764m
V = 4/3πr^3
= 4/3 X π X 168188.764^3
= 1.99287265e16m^3
V = 3.25150316e16 - 1.99287265e16
= 1.25863051e16m^3
Violent fragmentation of rock is 69000000 joules. It's a hemisphere, so we'll also half it.
E = 1.25863051e16 X 69000000
= 8.68455052e23/2
= 4.34227526e23 joules
= 103.782869503 teratons
(High end)
3476.2km/2 = 1738.1km (1738100m)
890 pixels = 3476.2km (3476200m)
1 pixel = 3476200m/890 = 3905.8427m
3905.8427m X 67 = 261691.461m
V = 4/3πr^3
= 4/3 X π X 1738100^3
= 2.19944389e19m^3
V = 1738100 - 261691.461
= 1476408.54m
V = 4/3πr^3
= 4/3 X π X 1476408.54^3
= 1.348057e19m^3
V = 2.19944389e19 - 1.348057e19
= 8.5138689e18m^3
E = 8.5138689e18 X 69000000
= 5.87456954e26/2
= 2.93728477e26 joules
= 70.20279087 petatons
Next up, let's find the surface area each member of Voltron tanked on the planets surface. Pidge is the smallest there, so anyone else would have tanked even more. Pidge is 15, and the average mass of a 15 year old girl is is 52.1kg and their height is 159.7cm (1.597m). Enter those values into this calculator here and we have a surface area of 1.53m^2. Well find our energy with inverse square law. We need the surface area of the moon (halved, because only half of it was destroyed as far as we saw).
(Low end)
A = 4πr^2
= 4 X π X 198000^2
= 4.92651994e11/2
= 246325997000m^2
1.597/246325997000
= 6.48327834e-12 X 4.34227526e23
= 2.81521791e12 joules
= 672.853228967 tons of TNT
(High end)
A = 4πr^2
= 4 X π X 1738100^2
= 3.79629002e13/2
= 1.89814501e13m^2
1.597/1.89814501e13
= 8.41347732e-14 X 2.93728477e26
= 2.47127788e13 joules
= 5.9064958891 kilotons
2. Zarkon destroys Altea
Zarkon destroys Altea, quite impressively too. Assuming Altea is Earth-sized, which means a mass of 5.97219e24kg and a diameter of 12756.2km.
83 pixels = 12756.2km
1 pixel = 12756.2km/83 = 153.689157km
1106 X 153.689157km = 169980.208km
Now for the timeframe.
2 seconds
T = 169980.208km/2s
= 84990104m/s
KE = (0.5) X 5.97219e24 X 84990104^2
= 2.15695131e40 joules
= 5.1552353566 tenatons
(Low end)
396km/2 = 198km (198000m)
890 pixels = 396km (396000m)
1 pixel = 396000m/890 = 444.94382m
444.94382m X 67 = 29811.2359m
Volume as a sphere.
V = 4/3πr^3
= 4/3 X π X 198000^3
= 3.25150316e16m^3
R = 198000m - 29811.2359m
= 168188.764m
V = 4/3πr^3
= 4/3 X π X 168188.764^3
= 1.99287265e16m^3
V = 3.25150316e16 - 1.99287265e16
= 1.25863051e16m^3
Violent fragmentation of rock is 69000000 joules. It's a hemisphere, so we'll also half it.
E = 1.25863051e16 X 69000000
= 8.68455052e23/2
= 4.34227526e23 joules
= 103.782869503 teratons
(High end)
3476.2km/2 = 1738.1km (1738100m)
890 pixels = 3476.2km (3476200m)
1 pixel = 3476200m/890 = 3905.8427m
3905.8427m X 67 = 261691.461m
V = 4/3πr^3
= 4/3 X π X 1738100^3
= 2.19944389e19m^3
V = 1738100 - 261691.461
= 1476408.54m
V = 4/3πr^3
= 4/3 X π X 1476408.54^3
= 1.348057e19m^3
V = 2.19944389e19 - 1.348057e19
= 8.5138689e18m^3
E = 8.5138689e18 X 69000000
= 5.87456954e26/2
= 2.93728477e26 joules
= 70.20279087 petatons
Next up, let's find the surface area each member of Voltron tanked on the planets surface. Pidge is the smallest there, so anyone else would have tanked even more. Pidge is 15, and the average mass of a 15 year old girl is is 52.1kg and their height is 159.7cm (1.597m). Enter those values into this calculator here and we have a surface area of 1.53m^2. Well find our energy with inverse square law. We need the surface area of the moon (halved, because only half of it was destroyed as far as we saw).
(Low end)
A = 4πr^2
= 4 X π X 198000^2
= 4.92651994e11/2
= 246325997000m^2
1.597/246325997000
= 6.48327834e-12 X 4.34227526e23
= 2.81521791e12 joules
= 672.853228967 tons of TNT
(High end)
A = 4πr^2
= 4 X π X 1738100^2
= 3.79629002e13/2
= 1.89814501e13m^2
1.597/1.89814501e13
= 8.41347732e-14 X 2.93728477e26
= 2.47127788e13 joules
= 5.9064958891 kilotons
2. Zarkon destroys Altea
1 pixel = 12756.2km/83 = 153.689157km
Now for the timeframe.
T = 169980.208km/2s
= 84990104m/s
KE = (0.5) X 5.97219e24 X 84990104^2
= 2.15695131e40 joules
= 5.1552353566 tenatons
Final Results
Yalex destroys a moon (low end) = 103.783 teratons
Yalex destroys a moon (high end) = 70.203 petatons
Pidge survives moons destruction (low end) = 672.853 tons of TNT
Pidge survives moons destruction (high end) = 5.906 kilotons
Zarkon destroys Altea = 5.155 tenatons