https://www.youtube.com/watch?v=v6I8G3aW8qg&t=0s

In this blog post, we react to the video above while using Newton's laws of motion, relativity, and rocket equation to show how cartoonish this video is.

Can drinking a bottle of hot sauce make one breath fire?

No. This is shown in the video 32.35 seconds in. Investigating the ingredients in a stereotypical hot sauce shows that hot sauce is mostly composed of water. If it is possible to breath fire with hot sauce, the water in the hot sauce would most likely extinguish it before it could materialize.

How fast is Annoying Orange accelerating at the last phase?

Under one frame, Annoying Orange accelerates by 20 mph or in SI units, 8.941 meters per second. Since 1 frame in the video corresponds to 1/24th of a second, we can write acceleration as:

${\displaystyle a=\frac{dv}{dt}}$. Plugging in needed variables gives us: 0.1333 miles per second squared or in SI units, 214.6 meters per second squared.

What is the thrust of Annoying Orange at the last phase?

It appears that thrust is variable. Let us assume that Annoying Orange does not lose any mass. We know from ^[1] that Annoying Orange's canon mass is 7 ounces. Using Newton's second law, we can calculate the thrust. ${\displaystyle F=ma}$.

Without loss of generality, this should give us a thrust of 42.58 newtons. This is approximately 1400 × thrust of the NSTAR ion engine tested on NASA's space probe (0.02 to 0.09 N).

What is the equation of Annoying Orange's speed in SI units?

Note: Those equations are only valid when ${\displaystyle t\ge131.21}$. We will leave it to the blog post reader to derive them.

Non-relativistic:

${\displaystyle v\left(t\right)=44.1+214.6\left(t-131.21\right)}$

Relativistic:

${\displaystyle v\left(t\right)=\dfrac{299792458\left|106450t-13945127\right|}{\sqrt{11331602500t^2-2968917538300t+22110815599678259898353}}}$

What happens in the end?

Annoying Orange causes what we formally call the Cretaceous–Paleogene extinction event. The explosion starts to occur on 190.38 seconds into the video.

Is the extinction event realistically depicted?

Sadly, no. Annoying Orange, according to this^[2], is so small that Annoying Orange would have burned up during atmospheric traverse. However, we see that Annoying Orange did not burn up during atmospheric traverse. Even if he were to be immune from being burned up during atmospheric traverse, he would only impact Earth at the energy of 1.61 x 10⁷ Joules, or 3.8 x 10^-9 Megatons TNT. (Simply put, he would be impacting Earth at 12.74 km/s.)

The real thing is that an asteroid having the diameter of 17,500 meters and density of 2,700 kg/m³ would do the job. In fact, this was the asteroid that was responsible for the event. It impacted Earth at the energy of 1.52 x 10²⁴ Joules = 3.62 x 10⁸ MegaTons TNT. One would basically have to do this collision 94.351 quadrillion times in order to do this successfully.

How fast would Annoying Orange have to be to do this?

Before we answer this question, let us answer a clarification:

Why is there a relativistic version of the formula for Annoying Orange's speed in SI units?

Well, let us assume that we can ignore relativity. This means kinetic energy can be calculated simply by ${\displaystyle v=\sqrt{\frac{2E}{m}}}$. If we plug and chug directly to this equation, we find out that Annoying Orange must be traveling at the speed of 3.914×10¹² meters per second, which is apparently larger than the speed of light. Since this does not exist, relativity must be considered. Enter the kinetic energy equation (relativistic style):

${\displaystyle v=\frac{7494811450\sqrt{K}\sqrt{625K+22289128432673077472}}{625K+11144564216336538736}}$

Plugging in the value of 1.52 x 10²⁴ Joules gives that Annoying Orange must travel at the velocity of

${\displaystyle v=\frac{7494811450\sqrt{\left(1.52\cdot10^{24}\right)}\sqrt{625\left(1.52\cdot10^{24}\right)+22289128432673077472}}{625\left(1.52\cdot10^{24}\right)+11144564216336538736}\approx}$2.997924579999999793714041 × 10⁸ meters per second. That is 2.06285959 × 10^-8 meters per second slower than light.

To accelerate to that speed alone, Annoying Orange needs to spend 1.19074079548257799555533 × 10¹⁴ seconds alone, or 3.7733073697440044132124×10⁶ average Gregorian years. Annoying Orange would also experience time differently once he reaches that speed: every second seen by him corresponds to 8.524×10⁷ seconds in the world. Annoying Orange's height would appear to be 1.1918818 nanometers rather than 4 inches.

What is Annoying Orange's effective exhaust velocity?

Effective exhaust velocity is calculated by this formula:

${\displaystyle v_{e}=\frac{v_{1}-v_{0}}{\ln\left(\frac{m_{1}}{m_{0}}\right)}}$

Assuming that Annoying Orange just consumed exactly 5 fluid ounces of hot sauce, which weighs 150 grams, this would give an effective exhaust velocity of 78.34 meters per second.

What is Annoying Orange's average acceleration during the first phase?

${\displaystyle a=\frac{v_{2}-v_{1}}{t_{2}-t_{1}}=\frac{44.1-0}{131.21-60.50}\approx0.6237}$m/s².

What is Annoying Orange's average thrust during the first phase?

123.8 millinewtons, which is approximately 62000 times the output of the FEEP ion thrusters used in NASA's LISA (laser interferometer space antenna) (9×10^-7 to 2×10^-4 Newtons).

How much hot sauce will Annoying Orange need to chug for the ending to occur?

Simply said, a lot. According to the rearrangement of the rocket equation, the mass needed for Annoying Orange is ${\displaystyle m_{1}=m_{0}e^{\frac{v_{1}}{v_{e}}-\frac{v_{0}}{v_{e}}}}$,

If we are pertaining to the cartoonish portrayal of the ending, then Annoying Orange will need to chug 3.104×10⁷¹ ounces of hot sauce. If we are pertaining to the realistic ending, then Annoying Orange will need to chug 2×10^1661964 ounces of hot sauce. Also, Annoying Orange manages to chug that much in 11.54 seconds. This proves that Annoying Orange has super-chugging skills we do not know of.

What would a realistic episode look like?

Hot Sauce, the character in the episode would most likely turn to a black hole and swallow up the observable universe because he is too dense (i.e., 5.951×10⁷³ kilograms per cubic meter), and his Schwarzschild radius exceeds the radius of the observable universe. If Hot Sauce survives, then Annoying Orange will not definitely survive either. If Annoying Orange survives, he will most likely not be able to violate the second law of thermodynamics (described by the characters as "turning time backwards"). If Annoying Orange manages to become a localized violation of the second law of thermodynamics and travels back to the time of the Cretaceous–Paleogene extinction event, he will most likely create an explosion equivalent of 3.8 kilograms of TNT. If Annoying Orange wants to do the event, Annoying Orange may have to spend 3-4 million years of his life accelerating and then he can do the event.

END POST.