Relation between 1 N and 1dyne

Relation between 1 N and 1dyne

We all know that SI unit of force is N
                             CGS unit of force is dyn

We also know that,

Base unit of the N is kg ms⁻²

Base unit of  the dyn is g cm s⁻²

We know that,
                     
                         1 N  = 1 kg × 1 m × s⁻² 
We also know that,

1 kg = 1000 g

1 m = 100 cm

So, it is

                      1 N  =  1000 g × 100 cm × s⁻² 
                              = 100000 × 1 g cm s⁻²

We also know that,

                       1 dyn = 1 g cm s⁻²

So, we substitute,

                   1 N  =  10⁵ × 1 dyn
                           =  10⁵ dyn

So, here by, it is

1 N = 10⁵ dyn

And it is also that,

1 dyn = 10⁻⁵ N

Relation:

              1 N = 10⁵ dyn

             1 dyn = 10⁻⁵ N