Relation Between kg and Newton

The relationship between kilograms (kg) and newtons (N) is defined by Newton’s second law of motion, which states that the force F acting on an object is equal to the mass m of the object multiplied by its acceleration a. Mathematically, it can be expressed as:

F = m × a

Here, ‘F’ is force in newtons, ‘m’ is mass in kilograms, and ‘a’ is acceleration in meters per second squared (m/s²).

To find the specific relationship between these units, we consider Earth’s gravity. The standard acceleration due to gravity on Earth is about 9.81 m/s².

By substituting Earth’s gravity for acceleration (i.e. 9.8m/s²) in the formula F = m × a, we get

Force = mass × 9.81 m/s²

Hence, to convert mass from kilograms to newtons, we multiply the mass by 9.81 and to determine mass from a force in newtons, divide the force by 9.81.

Let Force = 1 N and mass = 1 kg, then from above we can conclude that:

• One kilogram of mass applies a force of 9.81 newtons under the influence of gravity.

1N is Equal to How Many Kg?

A Newton is a unit of force in the International System of Units (SI). It measures the amount of force required to accelerate a mass of one kilogram at a rate of one meter per second squared. On the other hand, a kilogram is a unit of mass, not force.

To find out how many kilograms are equivalent to one Newton of force on Earth, we use the formula :

F = mg

m = F/g ​ = 1 N/ 9.81 m/s² = 0.101937 kg

Thus, 1 Newton is equivalent to approximately 0.10937 kilograms under Earth’s gravity. This means that the force of 1 Newton will accelerate a mass of approximately 0.101937 kg at 1 meter per second squared on Earth.

The table below shows the relation between kg and newton:

Kilogram is the SI unit of mass that tells us how much matter is in an object. Newton, on the other hand, is the SI unit of force. It measures the push or pull on an object. There exists a straight proportionality between the kilogram and newton. The equivalent of one kilogram-force is 9.81 Newtons.

In this article, we will learn the relation between kg and newton in detail.