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A newton is defined as 1 kg⋅m/s 2 (it is a named derived unit defined in terms of the SI base units). [1]: 137 One newton is, therefore, the force needed to accelerate one kilogram of mass at the rate of one metre per second squared in the direction of the applied force.
Newton's second law states that force equals mass multiplied by acceleration. The unit of force is the newton (N), and mass has the SI unit kilogram (kg). One newton equals one kilogram metre per second squared. Therefore, the unit metre per second squared is equivalent to newton per kilogram, N·kg −1, or N/kg. [2]
The SI has special names for 22 of these coherent derived units (for example, hertz, the SI unit of measurement of frequency), but the rest merely reflect their derivation: for example, the square metre (m 2), the SI derived unit of area; and the kilogram per cubic metre (kg/m 3 or kg⋅m −3), the SI derived unit of density.
'technical mass unit'), is the mass that accelerates at 1 m/s 2 under a force of 1 kgf. [4] The unit, long obsolete, [5] has also been used as the unit of mass in a metre–gram-force–second (mgfs) system. [6] 1 TME = 1 kp / 1 m/s 2 = 1 kp⋅s 2 /m = 9.806 65 kg 1 hyl = 1 kp⋅s 2 /m = 9.806 65 kg or 1 hyl (alternate definition – mgfs) = 1 ...
All objects on the Earth's surface are subject to a gravitational acceleration of approximately 9.8 m/s 2. The General Conference on Weights and Measures fixed the value of standard gravity at precisely 9.80665 m/s 2 so that disciplines such as metrology would have a standard value for converting units of defined mass into defined forces and ...
The kilogram, symbol kg, is the SI unit of mass. It is defined by taking the fixed numerical value of the Planck constant h to be 6.626 070 15 × 10 −34 when expressed in the unit J⋅s, which is equal to kg⋅m 2 ⋅s −1, where the metre and the second are defined in terms of c and Δν Cs. —
1 kg = (299 792 458) 2 / (6.626 070 15 × 10 −34)(9 192 631 770) h Δν Cs / c 2 . All units in the SI can be expressed in terms of the base units, and the base units serve as a preferred set for expressing or analysing the relationships between units.
SI derived units are named combinations – such as the hertz (cycles per second), newton (kg⋅m/s 2), and tesla (1 kg⋅s −2 ⋅A −1) – or a shifted scale, in the case of degrees Celsius. Certain units have been officially accepted for use with the SI. Some of these are decimalised, like the litre and electronvolt, and are considered ...