Why do the carrots in the sauce pan get hotter?

The carrots in the saucepan get hotter because they are in direct contact with the heat source, which transfers thermal energy to them. As the heat is conducted through the metal of the saucepan, it warms the water or oil inside, which then transfers heat to the carrots. Additionally, the moisture from the cooking liquid helps to evenly distribute the heat, allowing the carrots to cook and become hotter more quickly.