So this is the feat I was given for this calc.
So how much energy would it need to burn humans to ashes?
Data[]
- A human body is usually cremated at about 760 °C. Assuming they do not waste energy that should be the temperature necessary to do that.
- Specific heat of a human is 3470 J/(kg * °C)
- Average weight of a male in the US is 88.3 kg. Since they seem to be in the US and all of them seem to be male that should be the best value.
- Average human body temperature is 37 degrees Celsius.
Assumptions[]
Should thousands be taken literally here? Well, I will leave that for discussion, for now I will take to values:
- I count at least 17 of them in the picture, so that is one value.
- Thousands would be at least 2000, so that is the second value.
Calculation[]
760 °C - 37 °C = 723 °C = Tempertaure they have to be heated upon.
3470 J/(kg * °C) * 88.3 kg * 723 °C = 221527923 Joules = Energy to burn one human.
221527923 Joules per human * 17 humans = 3.765974691*10^9 Joules = Value 1 = Building Level
221527923 Joules per human * 2000 humans = 4.43055846*10^11Joules = Value 2 = Multi-City Block level
He can probably also take that much, given that he can fly with that much friction.
Uncertain Calculation part 2[]
Now that much is the energy made through friction. Now technically in order to produce that much energy through friction one requires a lot mroe energy as kinetic energy when flying. Now in order to calculate that I will first have to figure out a speed from the friction, but there are two problems with that:
- There is no data for friction at that high speed, so I will approximate using data for lower speeds
- Much more important: The speed can not be used as speed feat, since in general speed derived from energy calculation isn´t accepted. That much is clear. This is furthermore problematic, since I am very sceptikal about the kinetic energy being used, if the speed shouldn´t be used in the first place. I will still calculate it, mostly because I never used friction calculation for something before, but I don´t expect that to be accepted. (actually it should certainly not be accepted, looking at the end result)
Data[]
- The formula I will be using
- Density of air: 1.2041 kg/m^3
- Cd = 0.6 (I will approximate this like done here since I don´t know better)
- A = 0.68 m^2 like done here again
Calculating speed[]
For simplicity, and since I don´t have anything else to go by, I will say the generation of teh energy was done in 1 second.
Then we can set in:
Value 1[]
3.765974691*10^9 Joules = 0.5 * 1.2041 kg/m^3 * 0.68 m^2 * 0.6 * v^3
Solving to v gives us: 2484.2476694874680577 m/s. Mach 7 lower then expected.
Value 2[]
4.43055846*10^11Joules = 0.5 * 1.2041 kg/m^3 * 0.68 m^2 * 0.6 * v^3
Solving to v gives us: 12172.746 m/s. Mach 41. Not bad.
Kinetic Energy calc[]
Assumin 88.3 kg for Stardust (its a american alien it seems, so why not?).
Value 1:[]
88.3 kg * (2484.2476694874680577 m/s)^2 * 0.5 = 2.7247112824007540611714*10^8 Joules. That is lower than the result in friction... whut?!?
Value 2:[]
88.3 kg * (12172.746 m/s)^2 * 0.5 = 6.5419591497197814* 10^9 Joules. Also lower than the original result.
Soooo... somethings wrong there, but I do quite frankly not know what. Lesson from that: I should not use friction calcs like that...