The newton-second (also newton second; symbol: N⋅s or N s) is the derived SI unit of impulse. 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.
|Unit system||SI derived unit|
|Unit of||Impulse and momentum|
|Symbol||N⋅s or N s|
|Named after||Isaac Newton|
|In SI base units:||kg⋅m/s|
It can be used to identify the resultant velocity of a mass if a force accelerates the mass for a specific time interval.
Momentum is given by the formula:
This table gives the magnitudes of some momenta for various masses and speeds.
|0.42||2.4||1||A 420-gram (15 oz) football (FIFA specified weight for outdoor size 5) kicked to a speed of 8.6 km/h (5.3 mph).|
|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 137 km/h (85 mph), making it one of the hardest kicks measured.|
|1300||10||13000||A four-door car weighing 1300 kg (2900 lb) crashing at 36 km/h (22 mph).|
|2000||10||20000||A mid-size SUV weighing 2000 kg (4400 lb) crashing at 36 km/h (22 mph).|
|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.|
|2030000||8050||1.63×1010||Space Shuttle launched from earth to orbit|
|45702||10834||4.95×108||Apollo 11 launched from earth to orbit|
|0.0075||350||2.6||A 7.5-gram (0.26 oz) handgun bullet (e.g. 9mm Parabellum) fired at 350 m/s (1100 ft/s).|
|0.004||945||3.8||A 4-gram (0.14 oz) assault rifle bullet (e.g. 5.56×45mm NATO) fired at 945 m/s (3100 ft/s).|
|0.05||860||43||A 50-gram (1.8 oz) machine gun bullet (e.g. .50 BMG) fired at 860 m/s (2800 ft/s).|
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