Can the Earth's core ever burn out?

I am not sure what you mean by "burn out." If you mean whether the core will ever stop being heated and cool down, then yes. The core is heated by the radioactive decay of radioactive elements in the Earth, and when they all decay down to stable elements, the core will stop heating and slowly cool. read more

I am not sure what you mean by "burn out." If you mean whether the core will ever stop being heated and cool down, then yes. The core is heated by the radioactive decay of radioactive elements in the Earth, and when they all decay down to stable elements, the core will stop heating and slowly cool. read more

The answer is that the earth's core will never be solid. And I do mean NEVER. Now, that being said, there is only one way it could ever happen and that is if the earth happened to get thrown out of its orbit to become a nomad planet. read more