Feat[]
Three dudes destroyed a planet. Requested here
Calculation[]
Let's find the mass then.
I will consider that the size of this planet is the same of Earth. Gravity is directly proportional to mass and inversely proportional to distance. In this case there is no variation in the distance, so if the gravitational acceleration is 1.25x greater than that of the Earth, then the mass will also be 1.25x greater than that of Earth. But let's calculate the mass
Gravitational acceleration
- 1,25 * 9,80665 = 12,258 m/s²
Now the mass
12,258 = 6,67408e-11*x / 6371000^2.
- X is the mass
- 6,67408e-11 is the universal gravitational constant
- 6371000 is the Earth radius in meters
Let's calc then
- 12,258 = 6,67408e-11x/40589641000000
- 6,67408e-11x = 40589641000000*12,258
- 6,67408e-11x = 497547819378000
- X = 497547819378000 / 6,67408e-11
- X = 7,4549274113e+24 kg
The same result is obtained by multiplying the earth mass by 1.25.
Now the GBE
- GBE: 8.7329689e+33 J or Planet level
- For 3 dudes: 2.9109896e+33 J or Planet level
Method 2[]
DMUA said to use KE method. Let's try then.
- Screen: 3045px
- Explosion: 2445px = 12.742km
2atan(tan(70/2)*(2445/3045)) wich give us 41.6588565 degree.
- 1.6746e+7 meters
With 5 seconds timeframe
- Speed: 3349200 m/s or Mach 9850.58
Using this:
- KE: 4.182E+37 J or Large Planet level
Results[]
Method 1
- Explosion: 8.7329689e+33 J or Planet level
- For 3 guys: 2.9109896e+33 J or Planet level (695.74 zt) - ACCEPTED
Method 2
- KE: 4.182E+37 J or Large Planet level