Question
explain how the unit of 1 newton is defined
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Answered by
GPT-4o mini
The unit of force known as the newton (symbol: N) is defined in the International System of Units (SI). The newton is defined based on the fundamental units of mass, length, and time. Specifically, 1 newton is defined as the amount of force required to accelerate a mass of 1 kilogram (kg) at a rate of 1 meter per second squared (m/s²).
In mathematical terms, this can be expressed using Newton's second law of motion, which states:
\[ F = m \cdot a \]
where:
- \( F \) is the force in newtons,
- \( m \) is the mass in kilograms,
- \( a \) is the acceleration in meters per second squared.
Thus, by substituting the values into the formula:
\[ 1 \, \text{N} = 1 \, \text{kg} \cdot 1 \, \text{m/s}² \]
This means that if you apply a force of 1 newton to a 1-kilogram mass, it will accelerate at 1 meter per second squared.
In mathematical terms, this can be expressed using Newton's second law of motion, which states:
\[ F = m \cdot a \]
where:
- \( F \) is the force in newtons,
- \( m \) is the mass in kilograms,
- \( a \) is the acceleration in meters per second squared.
Thus, by substituting the values into the formula:
\[ 1 \, \text{N} = 1 \, \text{kg} \cdot 1 \, \text{m/s}² \]
This means that if you apply a force of 1 newton to a 1-kilogram mass, it will accelerate at 1 meter per second squared.