How many magnitude in 1 Newton
How many magnitude in 1 Newton
Kilograms (kg) and newtons (N) measure different things. Kilograms are a unit of mass, whereas newtons are a unit of force. The relationship between those two is that force (F) equals mass (m) times acceleration (a): F = m × a
However, if you’re asking like this, you probably don’t want to know about accelerating things but simply: How much does it weigh? Well, that depends on the location. One kilogram of mass is heavier on Earth than on the Moon. You need to know the gravity at the respective location. It turns out that gravity is more or less the same as acceleration, so you basically use the same formula, except that gravity is commonly abbreviated with “g” instead of “a”: F = m × g
The “standard gravity” or “standard acceleration due to gravity” (g₀) is 9.80665 m/s² or 9.80665 N/kg, which is the average gravitation on the surface of planet Earth. While this is commonly accepted for conversions between mass and force due to gravity*, it is a theoretical value. Actual gravity on Earth varies by 0.7 %.
To answer your question, under standard gravity:
1 N ÷ g₀ ≃ 0.101972 kg
Please note that the newton is not a SI base unit. It is defined as: 1 N = 1 kg × 1 m/s². Because force (F) equals mass (m) times acceleration (a), it’s unit has to be the unit of mass (kg) times the unit of acceleration (m/s²) times a constant factor (which, in the case of newtons, conveniently is 1).
If one took your question literally, the answer would be: 1 kg/1 N = 1 kg/( 1 kg × 1 m/s²) = 1/(1 m/s²) = 1 s²/m. Yes, that’s the inverse of the unit of acceleration. It does not make sense.
Kilograms (kg) and newtons (N) measure different things. Kilograms are a unit of mass, whereas newtons are a unit of force. The relationship between those two is that force (F) equals mass (m) times acceleration (a): F = m × a
However, if you’re asking like this, you probably don’t want to know about accelerating things but simply: How much does it weigh? Well, that depends on the location. One kilogram of mass is heavier on Earth than on the Moon. You need to know the gravity at the respective location. It turns out that gravity is more or less the same as acceleration, so you basically use the same formula, except that gravity is commonly abbreviated with “g” instead of “a”: F = m × g
The “standard gravity” or “standard acceleration due to gravity” (g₀) is 9.80665 m/s² or 9.80665 N/kg, which is the average gravitation on the surface of planet Earth. While this is commonly accepted for conversions between mass and force due to gravity*, it is a theoretical value. Actual gravity on Earth varies by 0.7 %.
To answer your question, under standard gravity:
1 N ÷ g₀ ≃ 0.101972 kg
Please note that the newton is not a SI base unit. It is defined as: 1 N = 1 kg × 1 m/s². Because force (F) equals mass (m) times acceleration (a), it’s unit has to be the unit of mass (kg) times the unit of acceleration (m/s²) times a constant factor (which, in the case of newtons, conveniently is 1).
If one took your question literally, the answer would be: 1 kg/1 N = 1 kg/( 1 kg × 1 m/s²) = 1/(1 m/s²) = 1 s²/m. Yes, that’s the inverse of the unit of acceleration. It does not make sense.
