Adding heat to a system during melting or boiling does not weaken intermolecular forces but rather increases the potential energy by separating particles against these forces. The terms heat and temperature are often confused; temperature reflects the distribution of energy states among particles, while heat is the energy flow in the system. Increasing temperature raises the average distance between molecules, which is a general trend with exceptions. The relationship between distance and force in unbonded atoms is complex, with repulsive forces at close distances and varying behaviors as distance increases. Overall, energy input through heating can increase both kinetic and potential energy, affecting molecular interactions during phase transitions.