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Friday, September 17, 2021

09-17-2021-0024 - Momentum Linear Momentum Translational Momentum

 In Newtonian mechanics, linear momentum, translational momentum, or simply momentum (pl. momenta) is the product of the mass and velocity of an object. It is a vector quantity, possessing a magnitude and a direction. If m is an object's mass and v is its velocity (also a vector quantity), then the object's momentum is

In SI units, momentum is measured in kilogram meters per second (kgm/s).

Newton's second law of motion states that the rate of change of a body's momentum is equal to the net force acting on it. Momentum depends on the frame of reference, but in any inertial frame it is a conserved quantity, meaning that if a closed system is not affected by external forces, its total linear momentum does not change. Momentum is also conserved in special relativity (with a modified formula) and, in a modified form, in electrodynamicsquantum mechanicsquantum field theory, and general relativity. It is an expression of one of the fundamental symmetries of space and time: translational symmetry.

Advanced formulations of classical mechanics, Lagrangian and Hamiltonian mechanics, allow one to choose coordinate systems that incorporate symmetries and constraints. In these systems the conserved quantity is  generalized momentum, and in general this is different from the kinetic momentum defined above. The concept of generalized momentum is carried over into quantum mechanics, where it becomes an operator on a wave function. The momentum and position operators are related by the Heisenberg uncertainty principle.

In continuous systems such as electromagnetic fieldsfluid dynamics and deformable bodies, a momentum density can be defined, and a continuum version of the conservation of momentum leads to equations such as the Navier–Stokes equationsfor fluids or the Cauchy momentum equation for deformable solids or fluids.

https://en.wikipedia.org/wiki/Momentum#Conservation

https://en.wikipedia.org/wiki/Translational_symmetry


https://en.wikipedia.org/wiki/Velocity

https://en.wikipedia.org/wiki/Speed

https://en.wikipedia.org/wiki/Inertia

https://en.wikipedia.org/wiki/Couple_(mechanics)

https://en.wikipedia.org/wiki/Energy

https://en.wikipedia.org/wiki/Torque

https://en.wikipedia.org/wiki/Time

https://en.wikipedia.org/wiki/Space

https://en.wikipedia.org/wiki/Moment_(physics)

https://en.wikipedia.org/wiki/Work_(physics)

https://en.wikipedia.org/wiki/Power_(physics)

https://en.wikipedia.org/wiki/Mass

https://en.wikipedia.org/wiki/Moment_of_inertia

https://en.wikipedia.org/wiki/Second_moment_of_area

https://en.wikipedia.org/wiki/Impulse_(physics)

https://en.wikipedia.org/wiki/Inertial_frame_of_reference

https://en.wikipedia.org/wiki/Frame_of_reference

https://en.wikipedia.org/wiki/Force

https://en.wikipedia.org/wiki/D%27Alembert%27s_principle


Part of a series onClassical mechanics


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