Final answer:
The energy associated with the random motion of particles in water is thermal energy, which is a form of randomized kinetic energy on a microscopic level.
Step-by-step explanation:
The form of energy associated with the random motion of the particles in a sample of water is known as thermal energy. This random motion can also be referred to as a random walk, which is observed on a microscopic scale. The particles within the water move in various directions at high speeds, contributing to the overall temperature of the water. When considering energy transfer, we recognize that thermal energy is essentially randomized kinetic energy at this microscopic level. This concept is important in understanding how substances absorb and transfer heat.