# Yank (physics)

In

physics ,**yank**is sometimes used to denote the derivative offorce with respect to time or mass multiplied byjerk . In relativistic physics, it is expressed as the second derivative ofmomentum with respect to time, because the mass is velocity-dependent. Though not universally accepted as an official term for this quantity, the term "yank" is commonly used among physics enthusiasts.Fact|date=April 2008Yank is described by the following equation::$mathbf\{Y\}=frac\{mathrm\{d\}^2mathbf\{p\{mathrm\{d\}t^2\}=frac\{mathrm\{d\}^2(mmathbf\{v\})\}\{mathrm\{d\}t^2\}=mfrac\{mathrm\{d\}^2mathbf\{v\{mathrm\{d\}t^2\}+mathbf\{v\}frac\{mathrm\{d\}^2m\}\{mathrm\{d\}t^2\}+2frac\{mathrm\{d\}mathbf\{v\{mathrm\{d\}t\}frac\{mathrm\{d\}m\}\{mathrm\{d\}t\}$where:$mathbf\{p\}$ is

momentum :$m$ ismass :$mathbf\{v\}$ isvelocity :$t$ is timeNote that when mass is constant (as in non-relativistic physics), the equation reduces to the following::$mathbf\{Y\}=frac\{mathrm\{d\}^2mathbf\{p\{mathrm\{d\}t^2\}=mfrac\{mathrm\{d\}^2mathbf\{v\{mathrm\{d\}t^2\}$The units of yank are force per time, or equivalently, mass times length per time cubed; in the SI unit system this is

kilogram metre s persecond cubed (kg·m/s^{3}).**References*** [

*http://arxiv.org/abs/math-ph/0206038 Yank and Hooke's Constant Group*] — "It has been proposed [*http://math.ucr.edu/home/baez/physics/General/jerk.html 6*] that yank and tug be respectively the rate of change of force and the rate of change of yank".

** [*http://math.ucr.edu/home/baez/physics/General/jerk.html UCR Mathematics*] — "So far yank (symbol Y) has been suggested for rate of change of force"

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