Mediaspace scheduled maintenance: Aug 25, 2026 07:00 - 12:00 AM. During this time, videos will be temporarily unavailable. Check status updates.

Lecture

Potential and Mechanical Energy

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

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.

Force

In physics, a force is an influence that can cause an object to change its velocity, i.e., to accelerate, unless counterbalanced by other forces. The concept of force makes the everyday notion of pushing or pulling mathematically precise. Because the magnitude and direction of a force are both important, force is a vector quantity. It is measured in the SI unit of newton (N) and often represented by the symbol F.

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.

Related lectures (29)

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.

Conservation of Energy: Pendulum Example

Explores the conservation of energy using a simple pendulum example and discusses various forms of energy.

Potential Energy; Mechanical Energy

Covers potential energy, mechanical energy, and conservative forces.

Conservation of Mechanical Energy

Explores the conservation of mechanical energy and its application in solving physics problems involving work, stability, and energy transformations.

Potential Energy: Brachistochrone Curve and Power in Physics