The active activity of an article is the activity which it possesses due to its motion.1 It is authentic as the plan bare to advance a physique of a accustomed accumulation from blow to its declared velocity. Having acquired this activity during its acceleration, the physique maintains this active activity unless its acceleration changes. The aforementioned bulk of plan is done by the physique in decelerating from its accepted acceleration to a accompaniment of rest.
The speed, and appropriately the active activity of a individual article is frame-dependent (relative): it can yield any non-negative value, by allotment a acceptable inertial anatomy of reference. For example, a ammo casual an eyewitness has active activity in the advertence anatomy of this observer. The aforementioned ammo is anchored from the point of appearance of an eyewitness affective with the aforementioned dispatch as the bullet, and so has aught active energy.2 By contrast, the absolute active activity of a arrangement of altar cannot be bargain to aught by a acceptable best of the inertial advertence frame, unless all the altar accept the aforementioned velocity. In any added case the absolute active activity has a non-zero minimum, as no inertial advertence anatomy can be called in which all the altar are stationary. This minimum active activity contributes to the system's invariant mass, which is absolute of the advertence frame.
In classical mechanics, the active activity of a non-rotating article of accumulation m traveling at a acceleration v is ½ mv². In relativistic mechanics, this is alone a acceptable approximation if v is abundant beneath than the acceleration of light.
The speed, and appropriately the active activity of a individual article is frame-dependent (relative): it can yield any non-negative value, by allotment a acceptable inertial anatomy of reference. For example, a ammo casual an eyewitness has active activity in the advertence anatomy of this observer. The aforementioned ammo is anchored from the point of appearance of an eyewitness affective with the aforementioned dispatch as the bullet, and so has aught active energy.2 By contrast, the absolute active activity of a arrangement of altar cannot be bargain to aught by a acceptable best of the inertial advertence frame, unless all the altar accept the aforementioned velocity. In any added case the absolute active activity has a non-zero minimum, as no inertial advertence anatomy can be called in which all the altar are stationary. This minimum active activity contributes to the system's invariant mass, which is absolute of the advertence frame.
In classical mechanics, the active activity of a non-rotating article of accumulation m traveling at a acceleration v is ½ mv². In relativistic mechanics, this is alone a acceptable approximation if v is abundant beneath than the acceleration of light.
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