Small Country to Multi-Continent Level reference

## What to expect from this page

For Wall to island level we used basic results for fragmenting an area for the smaller tiers and for the bigger we used an explosive yield. We will be using a new metod and we would like to note the difference of explosive yield based off the circumstance in which this blast is being released. If this explosion was released in the air the formula previously used would apply. However explosive shock of ground impact changes and so does our formula. We take into account the shockwave pressure and the formula goes as follows.

W = R^3*((27136*P+8649)^(1/2)/13568-93/13568)^2, where W is the yield in tons of TNT, R is the radius in meters, and P is the shockwave pressure in bars, where we generally use 1.37895 bars or 20 psi of pressure. For this specific formula we can use 3.5 bars to reach a top pressure of 50 bars

## The Math

### Small Country Level

A small country would be an area that stands superior to "Large Island Level" In total area some examples would be Japan Spain Turkey France and even Germany. These distinctions are very important for total area of shock (270km radius up to 750km)

W = 318258^3*((27136*3.5+8649)^(1/2)/13568-93/13568)^2 = 9.1754986x10^12 Tons of TNT or **3.83902861424x10^22 Joules**

W = 428500^3*((27136*3.5+8649)^(1/2)/13568-93/13568)^2 = 2.2394644x10^13 Tons of TNT or 9.3699190496x10^22 Joules

### Country Level

The average country would be an area that stands superior to "Small Country Level" in total area and energy standards some examples of this would be Alaska state Mexico Greenland Argentina and even india (550 km to 1300 km)

W = 775000^3*((27136*3.5+8649)^(1/2)/13568-93/13568)^2 = 1.3249418x10^14 Tons of TNT or **5.5435564912x10^23 Joules**

W = 915040^3*((27136*3.5+8649)^(1/2)/13568-93/13568)^2 = 2.1807803x10^14 Tons of TNT or 9.12438477521x10^23 Joules

### Large Country Level

A large country would be an area that stands superior to "Country Level" in total area and energy standards some examples of this would be: Australia Antartica The United States and All of Europe (1300km to 2500km) For large country standards due to the total range we can start applying airburst blasts for total range due to the sheer distance and explosive yield based off current TNT knowledge

Y = ((1800/0.28)^3)/1000 = 265670553.93599426746 Megatons of TNT or 1.11156559766819996x10^24 Joules

Y = ((2500/0.28)^3)/1000 = 711780247.81300199032 Megatons of TNT or **2.978088556849600191x10^24 Joules**

### Continent Level

A continent is a large land mass that is comprised of multiple countries North America is a continent with 2 major sized countries where as Africa is a continent that is home to 54 countries so these masses can be divided as such (2500km to 4500km)

Y = ((4000/0.28)^3)/1000 = 2915451895.04 Megatons of TNT or 1.2198250728847x10^25 Joules

Y = ((4500/0.28)^3)/1000 = 4151102405.25 Megatons of TNT or **1.7368212463566x10^25 Joules**

### Multi-Continent Level

Multi-Continent Level is destroying the area of multiple continents on a given celestial body. Not to be mistaken with the same values for Moon given the high nature continents themselves don't have binding energy as they are apart of the mass that does. Though the moon is the result of uplifted continents this wouldn't be the same as the destruction of them alone. This tier would include: The relative area of mars, relative area of the earth, and the relative area of Neptune. (5500km to 85000km)

Y = ((10000/0.28)^3)/1000 =45553935860.1 Megatons of TNT or 1.9059766763866x10^26 Joules

Y = ((85000/0.28)^3)/1000 = 2.7975811x10^13 Megatons of TNT or **1.17050793224x10^29 Joules**