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Can Master Chief Survive Falling from Space?

This episode of Because Science is sponsored by Shadow of the Tomb Raider. Could Master Chief really survive a fall from space? ♪ Oh ♪ ♪ Ho science oh ♪ If you're going to fight off an alien invasion and stop the obliteration of all sentient life in the galaxy almost single-handedly, you better be seriously tough. And that's exactly what the Halo franchise's Spartan soldiers are. They are bigger, taller-- Take this!faster, and stronger than any other human fighter. But are these Covenant killers really so tough that they can survive a fall from space? This thought experiment comes from the opening mission of the long-lasting first-person shooter, Halo 3. In it, soldier John-117 jumps from the enemy ship, the Anodyne, as it's descending through the Earth's atmosphere.



According to the game and the Halo comics, Master Chief jumps out 2 kilometers above the surface and rides an improvised heat shield all the way down into the African soil below. The Chief takes a beating during the impact, but eventually he's up and meleeing Grunts like nothing ever happened. I know that Chief is a genetically engineered supersoldier in an exosuit from the future, but could any humanoid really survive this kind of descent and impact? First, let's get something out of the way. I've been asked about this very situation for years now, and even though it's always phrased the same way, I don't think that in this scene Master Chief is falling from space.



The easiest way to tell is that fireball. The only way for a ship like that to create a fireball like this is for it to travel so quickly through an atmosphere at many kilometers per second that the air in front of it can't move out of the way. The air then compresses in front of that object and heats up because it's being compressed, forced into a smaller volume, which can heat up the object so much that the object will glow or even break apart and burst into flame. And if an object like that is encountering an atmosphere, that necessarily means that it's not in the vacuum of space anymore. So I think what we are really asking is can Master Chief jump from 2,000 meters above the Earth's surface, land, and live? Wow, that was close.



Take that! Oh no! Ugh. Even if Master Chief is going fast enough inside the Anodyne to create his own fireball when he jumps out, because of the altitude he is at and air resistance, he will reach his own terminal velocity before he hits the ground. Terminal velocity is the velocity at which an object's weight is equaled out by the force of drag put on it by the air it is free-falling through at that velocity. And generally speaking, the smaller the creature or object, the smaller the terminal velocity, the more survivable the impact. This is why animals the size of mice and smaller seem to be able to survive falls from any height. The force of drag put on their small bodies is big enough to reduce their terminal velocities to almost or completely harmless. The relationship between animal size and animal terminal velocity is why we have that famous quote from English scientist J.B.S. Haldane who says you can drop a mouse down a thousand-yard mineshaft and it will get a bit of a shock, but then it will walk away. However, a rat is killed. A man is broken. And a horse splashes. Ho. But what about Master Chief? If we set weight equal to drag force, we can solve for the velocity at which Master Chief will stop accelerating through Earth's atmosphere under Earth's gravity.



We just need the right numbers. Kyletana, give me John-117's stats. Master Chief stands 208.3 centimeters tall and in his armor has a total mass of 451.3 kilograms. Master Chief, more like Master Beef, am I right? All right, all right, that's enough. Damn handsome program, though. Damn handsome. Assuming a drag coefficient, estimating his surface area, writing our equation in an unintelligible way that's cramped for space, and solving for velocity, and we get a terminal velocity for Master Chief as he is falling through Earth's atmosphere of 68 meters per second. This is 30% faster than a typical skydiver's terminal velocity. Over 150 miles an hour. Master Chief would hit the ground with a much higher velocity than a skydiver without a parachute would, but Master Chief is also much more durable than an overenthusiastic person wearing a jumpsuit. So what would the inevitable impact be like? One way to determine the survivability of an impact is to calculate how many Gs an object will pull when it hits a surface, or how quickly it will decelerate compared to the acceleration due to Earth's gravity.

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