The Earth's surface cools through a process known as radiative cooling. This occurs when the Earth's surface emits infrared radiation back into space, allowing heat to escape and the surface to cool down. Additionally, convection and conduction also play a role in transferring heat away from the surface, helping to maintain a balance in temperature.
Earth will cool in hundreds of millions, maybe even billions of years. The earth stays hot because of the radioactive elements at the earth's core, which are insulated by the existing rock or earth. The insulation of the radioactive elements retains heat generated by them, thus melting the rock. The heat is generated by the attenuation of radiation in the material (earth). The earth will cool when the radioactive elements in the earth exceed their half- lives several times and will no longer generate heat. There is no way any person on earth can cool the core any faster than it would by itself, if that is what you're asking.
Also, you don't want the earth's core to cool because then the outer core would cease to remain liquid and so there would no longer be any spinning metal in the core that creates the electromagnetic field we so know and love that protects us from solar, not to mention cosmic, radiation.
Hopefully, that is what you meant by your question.
after collisions subsided, the earth's surface was able to cool, but the interior remained hot
Extrusive rocks cool and crystallize on the Earth's surface or just below the surface when volcanic eruptions occur. This rapid cooling results in the formation of fine-grained rocks such as basalt and rhyolite.
Lava.
Igneous rocks that cool from lava at Earth's surface are called extrusive or volcanic rocks. They have fine-grained textures due to rapid cooling. Examples include basalt and rhyolite.
The Earth's surface radiates thermal infrared radiation to cool down. This energy is absorbed from the sun during the day and then emitted as heat at night to balance the energy received.
Lava on the earth's surface will cool quickly.
after collisions subsided, the earth's surface was able to cool, but the interior remained hot
Are those that forms beneath the earth surface
Extrusive rocks cool and crystallize on the Earth's surface or just below the surface when volcanic eruptions occur. This rapid cooling results in the formation of fine-grained rocks such as basalt and rhyolite.
Lava.
Earth's surface began to cool, clouds formed, rain fell, rivers and lakes formed on Earth, gas rose into the sky.
Igneous rocks that cool under the Earth's surface. They are called intrusive rocks.
As the collisions tapered off the earth began to cool, forming a thin crust on its surface.
Igneous rocks that cool from lava at Earth's surface are called extrusive or volcanic rocks. They have fine-grained textures due to rapid cooling. Examples include basalt and rhyolite.
The Earth's surface radiates thermal infrared radiation to cool down. This energy is absorbed from the sun during the day and then emitted as heat at night to balance the energy received.
Clouds can cool down the Earth by reflecting incoming sunlight back into space, which reduces the amount of solar radiation reaching the Earth's surface. They also increase the Earth's albedo, which is its ability to reflect sunlight. Additionally, clouds can trap heat radiated from the Earth's surface, but their overall cooling effect usually outweighs this warming effect.
Molten substances that appear at the surface of the Earth include lava, which is molten rock that flows out of volcanoes during eruptions, and magma, which is molten rock beneath the Earth's surface. These molten substances can solidify into igneous rock as they cool.