Potential energy might be thought of as the potential for a body to gain kinetic energy if allowed to move. A ball held several feet above the surface of the earth has potential energy because if it is released, gravity will cause it to fall and acquire kinetic energy - or more accurately - convert the potential energy into kinetic energy. The amount of potential energy is determined by the position of the body relative to the source of the force acting on it. Some sources of forces include gravity, magnetism, and electrical charge. On a microscopic scale, we can tell that the potential energy of a particle has increased if it has moved farther from the source of the force. It would also gain potential energy if the magnetic strength increased (when magnetism is creating the force) or the charge increased (when charge is creating the force). Note that in the case of gravity, the mass of the source of the gravity would have to increase since if the mass of the particle increased, it would be a different particle.
It is not possible to know that I'm afraid :(
The electric potential energy between two charged particles is directly proportional to the product of their charges. If one particle's charge is increased by a factor of 2, the potential energy between the two particles will increase by a factor of 2 as well.
When a particle is not moving, it still has potential energy due to its position in a force field. This potential energy can be gravitational, elastic, or related to other forces acting on the particle.
It is increased by a factor of 2
A particle in a one-dimensional potential well is a common problem in quantum mechanics, where a particle is confined to a specific region of space. The behavior of the particle is determined by the shape of the potential well and the energy of the particle. In an infinite potential well, the particle's energy is quantized and can only take on certain allowed values, leading to the formation of discrete energy levels.
potential energy
Kinetic energy plus particle attraction is commonly referred to as potential energy. Kinetic energy is associated with motion, while particle attraction, such as gravitational or electrostatic forces, contributes to the potential energy of a system.
To find a particle's maximum speed in a potential energy diagram, you need to locate the point in the diagram where the potential energy curve is at its lowest. The maximum speed of the particle at that point is determined by the total mechanical energy it possesses, which is the sum of its kinetic and potential energies. At the point where the potential energy is lowest, the kinetic energy is at its maximum, indicating the particle's maximum speed.
No, it does not violate the law of conservation of energy. When a particle falls, its potential energy is converted into kinetic energy. The total energy (potential + kinetic) remains constant, demonstrating the conservation of energy.
A potential well diagram typically shows a graph with a potential energy function that represents the energy levels of a particle in a confined space. The key features include the potential energy curve, the depth of the well, the width of the well, and the energy levels of the particle within the well. The characteristics of a potential well diagram can help illustrate how a particle behaves in a specific potential energy environment.
The Lagrangian for a particle moving on a sphere is the kinetic energy minus the potential energy of the particle. It takes into account the particle's position and velocity on the sphere.
gravitational potential energy