# Kinetic energy and potential energy formula

## Kinetic Energy Potential and Kinetic Energy

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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. Common types of potential energy include the gravitational potential energy of an object that depends on its mass and its distance from the center of mass of another object, the elastic potential energy of an extended spring, and the electric potential energy of an electric charge in an electric field. The term potential energy was introduced by the 19th-century Scottish engineer and physicist William Rankine ,   although it has links to Greek philosopher Aristotle 's concept of potentiality. Potential energy is associated with forces that act on a body in a way that the total work done by these forces on the body depends only on the initial and final positions of the body in space. These forces, that are called conservative forces , can be represented at every point in space by vectors expressed as gradients of a certain scalar function called potential. Since the work of potential forces acting on a body that moves from a start to an end position is determined only by these two positions, and does not depend on the trajectory of the body, there is a function known as potential that can be evaluated at the two positions to determine this work.

Chemists divide energy into two classes. Kinetic energy is energy possessed by an object in motion. The earth revolving around the sun, you walking down the street, and molecules moving in space all have kinetic energy. Kinetic energy is directly proportional to the mass of the object and to the square of its velocity: K. If the mass has units of kilograms and the velocity of meters per second, the kinetic energy has units of kilograms-meters squared per second squared. Calculate the kinetic energy in Joules possessed by each of the following objects. Remember to use the correct number of significant figures in your answer.

In physics , the kinetic energy of an object is the energy that it possesses due to its motion. Having gained this energy during its acceleration , the body maintains this kinetic energy unless its speed changes. The same amount of work is done by the body when decelerating from its current speed to a state of rest. In relativistic mechanics , this is a good approximation only when v is much less than the speed of light. The standard unit of kinetic energy is the joule , while the imperial unit of kinetic energy is the foot-pound. The dichotomy between kinetic energy and potential energy can be traced back to Aristotle 's concepts of actuality and potentiality. Willem 's Gravesande of the Netherlands provided experimental evidence of this relationship.

## Potential energy

Kinetic energy derivation

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