What is the term for the measure of energy that is associated with the state of motion of an object?

The measure of energy associated with the state of motion of an object is known as kinetic energy. Kinetic energy quantifies how much energy an object possesses due to its motion, and it is determined by the mass of the object and its velocity. The formula for kinetic energy is given by (KE = \frac{1}{2}mv^2), where (m) represents the mass and (v) represents the velocity of the object.

In contrast to kinetic energy, potential energy refers to the stored energy in an object due to its position or arrangement. Work is a concept related to the transfer of energy that results from a force causing an object to move, and mechanical energy is the sum of kinetic and potential energies in a system. While these terms are related to the behavior of energy in physical systems, they describe different aspects. Kinetic energy specifically highlights the energy due to motion, which makes it the correct answer in this case.