The kinetic energy of a particle moving on an equipotential surface remains constant due to the conservation of energy principle, where kinetic energy (KE) and potential energy (PE) sum to a constant value. Since the potential energy is constant on such surfaces, the kinetic energy must also remain constant. However, if the particle is not constrained to the equipotential surface or if the surface is curved, it may deviate from that path, potentially affecting its kinetic energy. The analogy of a pool table illustrates this concept well. Overall, the kinetic energy is constant as long as the particle remains on the equipotential surface.
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