Question

Using the dimensions prove 1N=10 raise to 5 dyne

Answer 1

From the definition of Newton we can write it as: 
1 Newton = 1kg X 1 m/s2 
= 1000 gm X 100 cm/s2 
= 103 gm X 102 cm/s2 
= 105 Dyne 
That's it... 

as 1 kg = 1000 gm & 
1 m = 100 cm