Question

explain how heat is transferred between a hot and cold object by conduction.

Answer 1

When something hot touches something cold the heat touches the surface of the cold thing making it burn and spread the heat around making it warm.

Answer 2

heat is the internal kinetic energy of the atoms or molecules.

When they bump into each other they transfer that energy (like dodgem cars at a fairground).
Conduction is when heat is transferred by touch