Relation between Newton and Dyne

What is Newton?

Newton (N) is the SI unit of force. It is named after the famous scientist Sir Isaac Newton, who formulated the laws of motion.

One Newton is defined as the amount of force required to accelerate a mass of one kilogram by one metre per second squared.
1 Newton = Force needed to move 1 kg of mass with an acceleration of $1 \mathrm{~m} / \mathrm{s}^2$.

$
1 N=1 \mathrm{~kg} \times 1 \mathrm{~m} / \mathrm{s}^2
$

Example:
If you push a 1 kg object and it starts moving with an acceleration of $1 \mathrm{~m} / \mathrm{s}^2$, then you are applying a force of 1 Newton.

What is Dyne?

Dyne is a unit of force in the centimetre-gram-second (CGS) system of units.
It is defined as the force required to accelerate a mass of one gram by one centimetre per second squared.

1 Dyne $=$ Force needed to move 1 gram of mass with an acceleration of $1 \mathrm{~cm} / \mathrm{s}^2$

$
1 \text { dyne }=1 g \times 1 c m / s^2
$
Relation with Newton:

$
1 \mathrm{~N}=10^5 \text { dyne }
$

Example:
If you apply a small force that makes a 1 g object move faster by 1 cm every second, you are applying a force of 1 dyne.

Difference Between Newton and Dyne

Relation Between Newton and Dyne

The relation between Newton and Dyne is based on their definitions in the SI and CGS systems of units.
1 Newton ( $\mathbf{N}$ ) = Force required to accelerate $\mathbf{1} \mathbf{~ k g}$ mass by $\mathbf{1 ~ m} / \mathbf{s}^{\mathbf{2}}$.
$\mathbf{1}$ Dyne $=$ Force required to accelerate $\mathbf{1} \mathbf{~ g}$ mass by $\mathbf{1} \mathbf{~ c m} / \mathbf{s}^{\mathbf{2}}$.

Now,

$
\begin{aligned}
& 1 \mathrm{~kg}=1000 \mathrm{~g} \\
& 1 \mathrm{~m}=100 \mathrm{~cm}
\end{aligned}
$

So,

$
\begin{gathered}
1 N=1000 g \times\left(100 c m / s^2\right) \\
1 N=10^5 d y n e
\end{gathered}
$

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