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The unit of momentum is the product of the units of mass and velocity. ... The Cauchy momentum equation is broadly applicable to ... where the momentum in its current ...
In natural units where c = 1, the energy–momentum equation reduces to = +. In particle physics, energy is typically given in units of electron volts (eV), momentum in units of eV· c −1, and mass in units of eV· c −2.
A continuity equation or transport equation is an equation that ... the amount of q per unit ... where J is the electric 4-current; and energy–momentum ...
The SI unit of impulse is the newton second (N⋅s), and the dimensionally equivalent unit of momentum is the kilogram metre per second (kg⋅m/s). The corresponding English engineering unit is the pound-second (lbf⋅s), and in the British Gravitational System, the unit is the slug-foot per second (slug⋅ft/s).
Hence the probability current (density) is in SI units: = / = [(^ ^) | |] + () where S is the spin vector of the particle with corresponding spin magnetic moment μ S and spin quantum number s . It is doubtful if this formula is valid for particles with an interior structure.
Left: intrinsic "spin" angular momentum S is really orbital angular momentum of the object at every point, right: extrinsic orbital angular momentum L about an axis, top: the moment of inertia tensor I and angular velocity ω (L is not always parallel to ω) [6] bottom: momentum p and its radial position r from the axis.
The SI unit of kinetic energy is the joule, while the English unit of kinetic energy is the foot-pound. In relativistic mechanics , 1 2 m v 2 {\textstyle {\frac {1}{2}}mv^{2}} is a good approximation of kinetic energy only when v is much less than the speed of light .
The moment of force, or torque, is a first moment: =, or, more generally, .; Similarly, angular momentum is the 1st moment of momentum: =.Momentum itself is not a moment.; The electric dipole moment is also a 1st moment: = for two opposite point charges or () for a distributed charge with charge density ().