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Chapter 8
Potential Energy and Energy Conservation

Gravitational Potential Energy
Potential energy is not just a property of each object, but also a property of the interactions between objects in a chosen system. For each type of…
Elastic Potential Energy
Elastic potential energy is the energy stored as a result of the deformation of an elastic object, such as the stretching of a spring. An object is…
Conservation of Mechanical Energy
The mechanical energy E of a system is the sum of its potential energy U and the kinetic energy K of the objects within it. What happens to this…
Work Done on a System by External Force
The work done by an external force on a particle changes its kinetic energy. However, internal forces must also be considered for a system of…
Conservative Forces
According to the law of conservation of energy, any transition between kinetic and potential energy conserves the total energy of the system. Hence,…
Non-conservative Forces
Non-conservative forces are dissipative forces such as friction or air resistance. These forces take energy away from a system as it progresses.…
Conservation of Energy
The terms 'conserved quantity' and 'conservation law' have specific scientific meanings in physics, which differ from the…
Conservation of Energy: Application
When solving problems using the energy conservation law, the object (system) to be studied should first be identified. Often, in applications of…
Force and Potential Energy in One Dimension
Force can be calculated from the expression for potential energy, which is a function of position. The component of a conservative force, in a…
Force and Potential Energy in Three Dimensions
Consider a particle moving under the action of a conservative force that has components along each coordinate axis. Each component of force is a…
Energy Diagrams - I
The dynamics of a mechanical system can be easily understood by interpreting a potential energy diagram. Since energy is a scalar quantity, the…
Energy Diagrams - II
Energy diagrams are important to understand the dynamics of a system. The topology of an energy diagram helps illustrate the equilibrium points of…
Preparing an Isotopically Pure <sup>229</sup>Th Ion Beam for Studies of <sup>229m</sup>Th
A methodology is described to generate an isotopically pure 229Th ion beam in the 2+ and 3+ charge states. This ion beam enables one to investigate…
Generation and Control of Electrohydrodynamic Flows in Aqueous Electrolyte Solutions
To drive electrohydrodynamic (EHD) flows in aqueous solutions, the separation of cation and anion transport pathways is essential because a directed…
Determining Tribocorrosion Rate and Wear-Corrosion Synergy of Bulk and Thin Film Aluminum Alloys
The increasing complexity and severity of service conditions in areas, such as aerospace and marine industries, nuclear systems, microelectronics,…

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