Question

What is the relation between SI and CGS unit of force?

Answer 1

Step 1: Definition

1. Force is just a push or a pull. It can be described as a push or pull on an object.
2. Force is an external agent capable of changing the state of rest or motion of a particular body. It has a magnitude and a direction.

Step 2: The relation between SI and CGS unit of force

We know that,

The SI unit of force is $\mathrm{Newton}$.

The CGS unit of force is $\mathrm{dyne}$.

then,

$$\begin{gathered} 1\mathrm{newton}=1\mathrm{kg}\times 1\mathrm{m}/{\mathrm{s}}^2 \\ =1000\mathrm{g}\times 100\mathrm{cm}/{\mathrm{s}}^2 \\ ={10}^5\mathrm{g}\times \mathrm{cm}/{\mathrm{s}}^2 \\ ={10}^5\mathrm{dyne} \end{gathered}$$

Therefore, the relation between SI and CGS unit of force is $1\mathrm{newton}={10}^5\mathrm{dyne}$.