Calc Scarlet Traces: The Great Game calcs

There are various great feats from Scarlet Traces: The Great Game, a sequel to War of the Worlds. Several of which are calcable.
1. Lunar Accelerator
The speed is 23473 miles a second, or 37776131.7m/s.

T = 37776131.7/299792458 X 100
= 12.6007612% C

This Accelerator later gets commandeered by the Martians, who use it to lob locomotive-sized chunks of moon at England.
He compares it to a Flying Scottsman, so we'll go with it's dimensions.

Length 70 ft (21.34 m)
Height 13 ft (3.96 m)
Loco weight 96.25 long tons (97.79 t; 107.80 short tons)

Click to expand...

Volume as a cylinder, with a radius of 1.98m.

V = πr^2h
= π X 1.98^2 X 21.34
= 262.829839m^3

The Moon has an average mass of 3344kg/m^3.

M = 262.829839 X 3344
= 878902.982kg

Enter both those values through the relativistic kinetic energy calculator and we get 6.347E+20 joules, or 151.696940727 gigatons.

2. Original War on Mars
The original war on Mars that killed the real Martians was so devastating that it ripped chunks of rocks from the planet to crash into Earth, wiping out the dinosaurs. Escape velocity of Mars is 5.03km/s (5030m/s). The meteorite that wiped out the dinosaurs was 15km across (15,000m, or a radius of 7500m). Volume of the meteorite as a sphere. Also, look at the surface of Mars in that last frame, it'll be important later...

V = 4/3πr^3
= 4/3 X π X 7500^3
= 1.76714587e12m^3

Average mass of Mars is 3933kg/m^3.

M = 1.76714587e12 X 3933
= 6.95018471e15kg

KE = (0.5) X 6.95018471e15 X 5030^2
= 8.79229642e22 joules
= 21.014092782 teratons

3. Space Elevator Height
Not an energy or speed calc, but for the range of the Martians Heat Rays.
The British Empires space elevator over Mars extends far into orbit, and the Martians Heat Rays hit it.

R = (h/2) + c^2/(8h)
= (9/2) + 176^2/(8 X 9)
= 434.722222

Mars has a radius of 3389.5km.

434.722222 pixels = 3389.5km
1 pixel = 3389.5km/434.722222 = 7.79693291km
7.79693291km X 528 = 4116.78058km

4. Anti-Gravity gel rips apart Mars' surface
The British Empire spraying an anti-gravity gel over the entire surface, killing all of the Martians and any remaining soldiers on the planet.

R = (h/2) + c^2/(8h)
= (4/2) + 334^2/(8 X 4)
= 3488.125

3488.125 pixels = 3389.5km
1 pixel = 3389.5km/3488.125 = 0.971725497km
0.971725497km X 4 = 3.88690199km

Now to find the area ripped apart (3389.5km is equal to 3389500m).

V = 4/3πr^3
= 4/3 X π X 3389500^3
= 1.6311561e20m^3

R = 3389.5km - 3.88690199km
= 3385.6131km (3385613.1m)

V = 4/3πr^3
= 4/3 X π X 3385613.1^3
= 1.62555096e20m^3

V = 1.6311561e20 - 1.62555096e20
= 5.60514e17m^3

Fragmentation of rock is 8000000 joules per m^3.

E = 5.60514e17 X 8000000
= 4.484112e24 joules
= 1.072 petatons
Final Results
Lunar Accelerator = 12.601% C
Lunar Accelerator bombards England = 151.697 gigatons.
Original Martian War devastates Mars = 21.0141 teratons
Heat Ray range = 4116.781km
Anti-Gravity gel destroys Mars' surface = 1.072 petatons