quantity

kinetic energy

The energy an object possesses due to its motion.
10 related articles · 1 formulas

Description

Kinetic energy is the energy an object possesses because of its motion. For an object of mass m moving at speed v, the kinetic energy is ½mv². This quantity is central to mechanics: it is the energy that must be supplied to accelerate an object from rest, and it is released when the object decelerates. In collisions, kinetic energy is conserved only in perfectly elastic interactions; in real-world situations, some of it is converted into heat, sound, or deformation. The concept bridges classical mechanics and thermodynamics, as the random kinetic energy of molecules constitutes what we perceive as temperature.

History

The concept of kinetic energy was developed in the 17th and 18th centuries. Gottfried Leibniz called it 'vis viva' (living force) and proposed that it is conserved in collisions, while the modern term 'kinetic energy' and the ½mv² formula were introduced by William Thomson (Lord Kelvin) in the mid-19th century.

How it works

Kinetic energy is defined as the work needed to accelerate a body from rest to its current speed. The formula ½mv² arises from integrating the work done by a constant force over the distance traveled. Because the velocity is squared, doubling the speed quadruples the kinetic energy — which is why car crashes at higher speeds are disproportionately more destructive. In a gas, the average kinetic energy of molecules is directly proportional to the absolute temperature, linking microscopic motion to macroscopic heat.

In practice

Kinetic energy is the basis for regenerative braking in electric vehicles, where the car's motion is converted back into electrical energy during deceleration, and for flywheel energy storage systems that spin a heavy rotor to store energy.

Fun fact

A commercial airplane at cruising speed has a kinetic energy of roughly 2 gigajoules — enough to power an average household for about two months.

Concept graph →

Formulas

$$K > (\gamma - 1) m c^2$$
Particle kinetic energy exceeds rest mass energy threshold.
What is in the formula
Kvariablekinetic energy — kinetic energy joule
γvariableLorentz factor — lorentz factor
mvariablerest mass — mass kilogram
cvariablespeed of light — speed of light metre per second
cconstantThe speed of light in vacuum, a fundamental constant of nature. — speed of light = 299792458 metre per second

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