Question

Convert 10 newton into 10^6 dyne using dimensional analysis ​

Answer 1

Answer:

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

M1  =1kg

L 1  =1m

T1   =1s

M2  =1g

L2  =1cm

T2  =1s

n1  =1Newton

n2  =?

Using the formula

n2 = n1 [M1/M2]^ a  [L1/L2] ^b  [T1/T2]^ c

n2  = 1 [1kg/1g]^ 1 [1m/1cm]^ 1  [1s/1s]^ −2

n2  = 1 [1000g/1g]^ 1  [100cm/1cm]^ 1×1

n2  = 1000×100

    =100000

    =10^5  dynes