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In Newtonian mechanics, momentum (pl.: momenta or momentums; more specifically linear momentum or translational momentum) is the product of the mass and velocity of an object. It is a vector quantity, possessing a magnitude and a direction.
Newton's laws are often stated in terms of point or particle masses, that is, bodies whose volume is negligible. This is a reasonable approximation for real bodies when the motion of internal parts can be neglected, and when the separation between bodies is much larger than the size of each.
The gun acquires a rearward velocity that is ratio of this momentum by the mass of the gun: the heavier the gun, the slower the rearward velocity. As an example, a 8 g (124 gr) bullet of 9×19mm Parabellum flying forward at 350 m/s muzzle speed generates a momentum to push a 0.8 kg pistol firing it at 3.5 m/s rearward, if unopposed by the shooter.
Each molecule will contribute a forward momentum of = (), where plus sign applies to molecules from above, and minus sign below. Note that the forward velocity gradient d u / d y {\displaystyle du/dy} can be considered to be constant over a distance of mean free path.
The definition of angular momentum for a single point particle is: = where p is the particle's linear momentum and r is the position vector from the origin. The time-derivative of this is: The time-derivative of this is:
By the definition of momentum, = = (), where m is the mass and is the velocity. [4] ... no force is required to keep the cannonball moving at the constant forward ...
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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 ().