acesuv said:
So the initial heat of the inner planets came from the friction of gas as the planet formed?
No.
The terrestrial planets formed initially from micron sized dust particles. These collided, in pairs, to eventually form centimeter sized objects. The next step is a bit murky, but these eventually built up to become meter-sized and eventually kilometer-sized planetesimals. Those planetesimals in turn collided to create ever larger objects, eventually becoming protoplanets, then moon-sized objects, and then a final stage of collisions between these very large objects to form planets.
It's only that very final stage where collisions provide an immense amount lot of energy, and even that most likely wouldn't be to enough to melt a planet -- assuming the planet wasn't already molten. If the Earth had cooled to the point of a solid crust and mantle, the impact would have left a large portion of the Earth still solid. If the Earth was already close to solidus, that proto-Moon / proto-Earth collision would have completely melted a good chunk of the Earth.
The subject of this thread is the Earth's core. When did it form? How did it form? The basics how the Earth's core formed is called planetary differentiation.
One answer is found in iron-nickel meteorites. Where did they come from? One early model was that a Mars-sized planet in the asteroid belt was blown asunder by one of those large collisions. That doesn't work; dynamic simulations show that perturbations from Jupiter would have kept the region between Mars and Jupiter in such turmoil that a Mars-sized object couldn't have formed. Another sign is that Vesta, which some now think of as being a protoplanet rather than an asteroid, has an iron core. An obvious solution is that planetary differentiation occurs with objects much smaller than the Moon. An obvious problem with this is insufficient heat.
And that's where shorter-lived radioactive species come into play. They solve the heat problem.
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