Conservation of Energy: Application

First, identify the object or system being studied. Second, identify all forces acting on it and determine whether each is conservative or non-conservative. Third, choose reference points and determine potential energy functions for each force. Finally, apply mechanical energy conservation by setting the sum of kinetic and potential energies equal at every point of interest.

When non-conservative forces like friction do work on a system, mechanical energy is not conserved. Instead, the system must be analyzed using the work-energy relationship that accounts for non-conservative work. This work converts mechanical energy into other forms, such as internal energy or heat.

A reference point establishes the zero level for potential energy calculations. Different forces can have reference points at different locations. This flexibility allows you to choose convenient reference points that simplify calculations while maintaining consistency within the energy conservation equation.

Use the energy conservation equation by calculating initial and final kinetic and potential energies. The change in internal energy equals the difference between total initial energy and total final mechanical energy. In the cliff example, initial potential energy was 980 joules, final kinetic energy was 810 joules, resulting in 170 joules of internal energy change.

Yes, conservation of mechanical energy applies to any system, including those with multiple particles or objects. Include the kinetic and potential energies of all particles and account for work done by all non-conservative forces acting on them. This principle remains fundamental regardless of system complexity.

Gravitational potential energy depends on an object's mass, height above a reference point, and gravitational acceleration. As an object falls, its gravitational potential energy decreases while kinetic energy increases. The total mechanical energy remains constant if only conservative forces act on the system.

Work done by external forces changes the total mechanical energy of a system. When analyzing energy conservation, you must account for work done on the system by external forces alongside conservative and non-conservative internal forces to accurately determine energy transformations.