I haven't found the right online ballistic program yet. I wanted one that did trajectory and energy in 100 yard out to 1000 yards.
I know it's out there, I'll keep looking.
In the meantime, this one gives an interesting and insightful comparison:
http://internet.cybermesa.com/~jbm/ballistics/maxdist/maxdist.html Using the ballistic coefficients that Hooligan supplied and taking the WORST BC for the .50BMG (.65 AP/I) and the BEST BC for the 13mm MG131 (.36 AP/I) I used it to figure maximum range at an altitude of 15,000 feet and the energy at max range.
.50 BMG
Input Data
Muzzle Velocity: 2845.0 ft/sec
Bullet Weight: 712.0 grains
Ballistic Coefficient: 0.650
Drag Function: G1
Temperature: 5.5 °F
Barometric Pressure: 16.89 in Hg
Relative Humidity: 0.0 %
Altitude: 15000 feet
Air Density: 63 % of Sea Level
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Calculated Data
Maximum Distance
Firing Elevation: 36.0 degrees
Terminal Range: 8468.0 yards
Maximum Height: 7421.7 feet
Terminal Angle: 60.3 degrees
Terminal Velocity: 661.9 ft/sec
Terminal Energy: 692.7 ft-lbs
Time of Flight: 40.8 secs
Absolute Maximum Height
Maximum Height: 17322.0 feet
Time of Flight: 27.4 secs
13mm MG131
Max Distance Output
--------------------------------------------------------------------------------
Input Data
Muzzle Velocity: 2460.0 ft/sec
Bullet Weight: 534.0 grains
Ballistic Coefficient: 0.360
Drag Function: G1
Temperature: 5.5 °F
Barometric Pressure: 16.89 in Hg
Relative Humidity: 0.0 %
Altitude: 15000 feet
Air Density: 63 % of Sea Level
--------------------------------------------------------------------------------
Calculated Data
Maximum Distance
Firing Elevation: 35.0 degrees
Terminal Range: 5520.0 yards
Maximum Height: 4729.5 feet
Terminal Angle: 61.5 degrees
Terminal Velocity: 508.0 ft/sec
Terminal Energy: 306.0 ft-lbs
Time of Flight: 32.9 secs
Absolute Maximum Height
Maximum Height: 11400.0 feet
Time of Flight: 21.5 secs
****************************
Check the comparison of Maximum Range and Terminal Energy.
.50 BMG Terminal Range: 8468.0 yards
13MM MG 131 Terminal Range: 5520.0 yards
Note that the firing elevation is essentially the same for both.
.50 BMG Terminal Energy: 692.7 ft-lbs
13MM MG 131 Terminal Energy: 306.0 ft-lbs
Perhaps you can relate better to this tidbit of data.
44 Remington Magnum/246 gr @ 50 yd = 623 ft-lbs
9mm Luger/115 gr @ 50 Yd = 306 ft-lbs.
So the .50 BMG hits with double the energy at its terminal range which is also greater by ~60% at 15k.
This is also on a Worst .50/ Best 13mm Ballistic Coefficient comparison as well.
So, indeed, all .50's are not created equal. In this case they are not even close.