Newton-second

 ( Classical Mechanics ) 

The newton-second (also newton second; symbol: N⋅s or N s) is the unit of impulse in the International System of Units (SI). It is dimensionally equivalent to the momentum unit kilogram-metre per second ( kg⋅m/s). One newton-second corresponds to a one-newton force applied for one second.

$\backslash vec\; F\; \backslash cdot\; t\; =\; \backslash Delta\; m\; \backslash vec\; v$

It can be used to identify the resultant velocity of a mass if a force accelerates the mass for a specific time interval.

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Definition Momentum is given by the formula:

$\backslash mathbf\{p\}\; =\; m\; \backslash mathbf\{v\},$

• $\backslash mathbf\{p\}$ is the momentum in newton-seconds (N⋅s) or "kilogram-metres per second" (kg⋅m/s)
• $m$ is the mass in (kg)
• $\backslash mathbf\{v\}$ is the velocity in metres per second (m/s)

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Examples This table gives the magnitudes of some momenta for various masses and .

0.42	2.4	1	A football (FIFA specified weight for outdoor size 5) kicked to a speed of .
0.42	38	16	The momentum of the famous football kick of the Brazilian player Roberto Carlos in the match against France in 1997. The football had a speed of , making it one of the hardest kicks measured.
	10		A four-door car weighing crashing at .
	10		A mid-size SUV weighing crashing at .
6	1	6	The total impulse of a class C model rocket engine, which can be found in amateur fireworks.
10	2	20	The total impulse of a class D model rocket engine, which also can be found in amateur fireworks.
			Space Shuttle launched from Earth to orbit
			Apollo 11 launched from Earth to orbit
0.0075	350	2.6	A handgun bullet (e.g. 9mm Parabellum) fired at .
0.004	945	3.8	A rifle bullet (e.g. 5.56×45mm NATO) fired at .
0.05	860	43	A anti-material bullet (e.g. .50 BMG) fired at .

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See also

• Power factor
• Newton-metre – SI unit of torque
• Orders of magnitude (momentum) – examples of momenta

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