The sum of the potential energy and kinetic energy of the object remains constant throughout the fall. This is because the total mechanical energy (potential energy + kinetic energy) is conserved in the absence of air resistance and other external forces.
What is the relationship between potential energy, kinetic energy, and the total energy of the object during the fall?
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During the fall, the total mechanical energy of the object remains constant, equal to its initial potential energy (mgh). As the object falls, its potential energy decreases while its kinetic energy increases equivalently, ensuring the sum of both energies stays unchanged.