In classical mechanics, the principle of conservation of mechanical energy states that the total mechanical energy of a system remains constant if there are no external forces acting on it. Mechanical energy is the sum of an object's kinetic energy and potential energy. If there are no external forces such as friction or air resistance, the total mechanical energy of the system is conserved.Mathematically, the principle of conservation of mechanical energy can be expressed as:E_initial = E_finalwhere E_initial is the initial mechanical energy of the system and E_final is the final mechanical energy.This principle is based on the law of conservation of energy, which states that energy cannot be created or destroyed, only transferred or transformed. In the case of mechanical energy, if there are no external forces doing work on the system, the total mechanical energy remains constant.The conservation of mechanical energy is often used in solving problems involving the motion of objects. By applying this principle, various quantities such as velocities, positions, and energies can be determined at different points in the system.It is important to note that the principle of conservation of mechanical energy assumes ideal conditions without any external forces. In reality, there are usually external forces acting on objects, such as friction or air resistance, which can decrease the mechanical energy of a system over time.
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