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John Malkovich's voice and spectacular cadence in your head:
The friction (and resulting heat) I am assuming would come from wind resistance. Think along similar lines to this classic XKCD article.
650 miles per second, as Malkovich said in the skit, translates to about 2.3 million miles per hour, or about 3.8 million kilometers per hour for the more mathematically reasonable among us out there.
A much lighter meteor traveling much slower than that through the atmosphere is enough to generate the heat needed for combustion, so it would probably apply to Santa in this hypothetical scenario, too.
looks like i failed reading comprehension... just skimmed that part and assumed per hour instead of second lol
650 mi/s is 1040,000m/s which is mach 3032. the heating at that point would be mainly from the superheated plasma, not wind resistance
Air "friction" has no dependence on mass though. An airplane will effectively have the same air resistance fully loaded as compared to if empty. The surface area/geometry doesn't change. Same would apply to Santa's sled.
And they'd be starting and stopping all over the place, so the kind of acceleration needed to reach that speed would kill any known organic being via g forces before they'd even suffer from the fire. But he's one of the fae, so data on them is lacking I guess.
The wind resistance shouldn't be dependant on the mass. Shape of the sleigh would be the real factor.
But another thing to consider is that the gigantic mass and heat capacity. Given that the sleigh has a good heat distribution, it would take a lot of air resistance to actually make the sleigh combust. I don't have a decent guess for the average heat capacity, so I don't actually know if it's significant enough, but the calculation is more complex than just looking at the speed.
Small nitpick, technically at those speeds the majority of the heat comes from air compressing in front of the object, not the air friction
The heat doesn't come from friction. It comes from compression of the gas in front of the object.