Question

Convert 10 N into dyne using dimensional analysis.​

Answer 1

Answer:

10N = 1000000 dyne

Explanation:

the dimensional formula of Force F=[M  1  L  1  T  −2  ]

So a=1,b=1,c=−2

Now because Newton is in m.k.s system, we have

M  1  =1kg

L  1  =1m

T  1  =1s

M  2  =1g

L  2  =1cm

T  2 =1s

n  1 =1Newton

n  2 =?

Using the formula

n  2 =n  1  [M1/M2]  a[L1/L2]  b[T1/T2]  c

n  2 =1[1kg/1g]  1  [1m/1cm]  1  [1s/1s]  −2

n  2 =1[1000g/1g]  1 [100cm/1cm]  1×1

 n  2 =1000×100=100000=10  ^5  dynes