Introduction[]
Cutesy supergirl stuff for fun and profit.
The Calculations[]
Destroys a Wall[]
Supergirl stands at 315 pixels. She's in 8th grade, so I'll assume she's 14. The average height of a 14 year old girl is 158.7 cm. (Side note: I always feel weird about googling these things)
Gonna calculate the hole as a rectangle. It's a weird shape and really wouldn't make a huge difference either way.
The hole has a height of 157 pixels
315 / 157 = 2.00
158.7 / 2.00 = 79.35 cm
The depth of the hole is 86 pixels
315 / 86 = 3.6
158.7 / 3.6 = 44 cm
And lastly the width of the hole is 136 pixels
315 / 136 = 2.31
158.7 / 2.31 = 68.70 cm
L * W * T
79.35 * 44 * 68.70 = 239,859.18 cm^3
Fragmentation = 8 j/cm^3
239,859.18 * 8 = 1,918,873.44 J
0.4 kg of TNT
Supergirl Flies into Outer Space[]
Earth = 1799 pixels.
Total panel height + Earth = 2028 pixels.
2atan(tan(70/2)*(1799/2028)) = 0.795786310542 Radians
0.795786310542×180°/π = 45.595196988° Degrees
Earth diameter is 12,742,000 m
Angsizing yields a distance of 15,158,000 meters. That's the rough distance she flew.
It happened quickly, so 10, 30, 60 second timeframes.
15,158,000 meters / 10s = 1,515,800 m/s (Mach 4,455)
15,158,000 meters / 30s = 505,266.6 m/s (Mach 1,473)
15,158,000 meters / 60s = 252,633.33 m/s (Mach 736)
Supergirl gets smacked by a Meteor[]
Supergirl is 268 pixels. So 268 pixels = 158.7 cm
The meteor is 345 pixels
345 / 268 = 1.28
158.7 * 1.28 = 203.136 cm, or 2.03 m
2.03 / 2 = 1.015 m
(4 × pi × 1.015^3)/3 = 4.38 m^3
Density of Meteors is approx 3,000 kg/m^3
4.38 * 3,000 = 13,140 kg
Meteors vary from 11 km/sec to 72 km/sec
11 km/sec = 11,000 m/s
72 km/sec = 72,000 m/s
13,140 * 0.5 *11,000^2 = 794,970,000,000 J = 190 Tons of TNT
13,140 * 0.5 *72,000^2 = 3.405888e+13 J = 8.14 Kilotons of TNT