Lecture

Potential and Mechanical Energy

Graph Chat

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

Description

This lecture introduces the concept of potential energy for a force depending on position, defining it as the ability to do work. It explores the relationship between potential energy and mechanical energy, emphasizing the conservation of energy principle. The instructor demonstrates the kinetic energy theorem and explains how forces can be derived from potentials. Examples of gravitational and spring potential energies are provided to illustrate these concepts.

In MOOC

Material Point Mechanics

To illustrate the concepts introduced in Part 1, we deal here with problems for which the mechanical system can be considered as a material point. In particular, this part covers problems to be treated in cylindrical or spherical coordinates, the problem of planetary orbits and accelerated reference frames.

Official source

Related concepts (32)

Potential energy

In physics, potential energy is the energy held by an object because of its position relative to other objects, stresses within itself, its electric charge, or other factors. The term potential energy was introduced by the 19th-century Scottish engineer and physicist William Rankine, although it has links to the ancient Greek philosopher Aristotle's concept of potentiality. Common types of potential energy include the gravitational potential energy of an object, the elastic potential energy of an extended spring, and the electric potential energy of an electric charge in an electric field.

Gravitational energy

Gravitational energy or gravitational potential energy is the potential energy a massive object has in relation to another massive object due to gravity. It is the potential energy associated with the gravitational field, which is released (converted into kinetic energy) when the objects fall towards each other. Gravitational potential energy increases when two objects are brought further apart. For two pairwise interacting point particles, the gravitational potential energy is given by where and are the masses of the two particles, is the distance between them, and is the gravitational constant.

Conservation of energy

In physics and chemistry, the law of conservation of energy states that the total energy of an isolated system remains constant; it is said to be conserved over time. Energy can neither be created nor destroyed; rather, it can only be transformed or transferred from one form to another. For instance, chemical energy is converted to kinetic energy when a stick of dynamite explodes. If one adds up all forms of energy that were released in the explosion, such as the kinetic energy and potential energy of the pieces, as well as heat and sound, one will get the exact decrease of chemical energy in the combustion of the dynamite.

Gravitational potential

In classical mechanics, the gravitational potential at a point in space is equal to the work (energy transferred) per unit mass that would be needed to move an object to that point from a fixed reference point. It is analogous to the electric potential with mass playing the role of charge. The reference point, where the potential is zero, is by convention infinitely far away from any mass, resulting in a negative potential at any finite distance.

Gravitational field

In physics, a gravitational field is a model used to explain the influences that a massive body extends into the space around itself, producing a force on another massive body. Thus, a gravitational field is used to explain gravitational phenomena, and is measured in newtons per kilogram (N/kg). Equivalently, it is measured in meters per second squared (m/s2). In its original concept, gravity was a force between point masses.

Related lectures (64)

Work and Energy

Explores work, kinetic energy, forces, and energy conservation in mechanical systems.

Force of Gravity and Mechanical Energy

Explores force of gravity, mechanical energy conservation, and kinetic energy concepts with practical examples.

Conservation of Energy and Force Potential

Explores kinetic energy, work, force potential, and equilibrium stability in mechanics, emphasizing energy conservation and force impact on systems.

Potential Energy: Basics and Applications

Covers the concept of potential energy and its applications in modeling dynamics.

Potential Energy; Mechanical Energy