Relation Between Kg And Newton

In the international system of units (SI unit) Kilogram (kg) is a unit measuring the mass of an object. Newton is a derived SI unit used to measure force. The relation between kg and newton is proportional. This implies any change in the unit of force that is in newtons will eventually reflect in the change of mass in kg keeping acceleration constant.

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Mathematical relation between kg And newton

The relation between kg and newton can be mathematically expressed using Newton’s second law of motion as follows-

\(\begin{array}{l}1N=kg\times \frac{m}{s^{2}}\end{array} \)

Where,

  • N is the force in newton.
  • kg is the mass in kilograms.
  • m is the distance travelled in metres.
  • s is the time duration in seconds.

Thus 1 newton is equal to the force needed to accelerate 1 kg of mass at the rate of 1 m/s2.

kg and newton

In physics, kg is directly proportional to Newton. Which means that-

  • When the mass of the object in kg is high, the force required to move it in N is also high.
  • When the mass of the object in kg is low, the force required to move it in N is also low.

Refer the table below for kg to newton and newton to kg values.

Values
Kg to newton 1 kg = 9.81 N
newton to kg 1N = 0.10197 kg

Physics Related Topics:

Relation Between Work And Energy
Relation Between Density And Volume
Relation Between Bar And Pascal
Relation Between newton And dyne

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Frequently Asked Questions – FAQs

Q1

What is the CGS unit of force?

The CGS unit of force is dyne.
Q2

How is force measured in a metric system?

In the metric system, force is measured in kilograms and is denoted by the symbol kgf.
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