Question

proof that 1 newton=0.5dyna​

Answer 1

since

1N = kgm/s^2

1 dyne = gcm/s^2

Now

1 kg = 1000g

1m = 1cm

LHS

1N

kgm/s^2

1000*100gcm/s^2

10^5 gcm/s^2

10^5 dyne

RHS

so LHS= RHS hence proved

Answer 2

Its not 0.5 dyna, its 10⁵ dyne moreover there is no such word as dyna, don't create confusion regarding princess Diana. Her potrait is used to indicate aids, very dangerous disease, there is solution for cancer but still it has no such treatment. Something curious na, such a fatal disease then does the lady look dangerous? no not at all, she looks very beautiful. Don't mind there is errous in human, wish to be pardoned by you. Leave it, come to the answer__

The question is to proof that, 1 newton(N) = 10⁵ dyne.

Before proving its needed to know that what is newton and what is dyne. Well, newton is the S.I. unit of force and dyne is the C.G.S. unit of force. Now come to the point of definition for better understanding.

newton(N):

                 1 newton can be defined as the amount of force which is when applied on a body of mass 1 kg, displaces it by 1 m in per unit² time or 1 second², or creates an acceleration of 1 m/s²

We know that f=ma( mass × acceleration)

So, 1 N is the product of 1 kg and 1 m/s².

dyne:

        1 dyne can be defined as the amount of force which when applied on a body of mass 1 g displaces it 1 cm per unit² time or creates an acceleration of 1cm/s².

So, 1 dyne = 1 cm × 1 g × 1 s⁻²

                 = 1 g cm/s²

We know that,

1 m = 100 cm &

1 kg = 1000 g

So, from the newton we get,

1 N = 1 m × 1 kg × 1 s⁻²

  = 100 cm × 1000 g × 1 s⁻²

   = 10000 g cm/s²

   = 10⁵ g cm/s²

   = 10⁵ dyne

Hence, 1 N = 10⁵ dyne.