Question

Convert 10 dyne into newton using dimensional analysis

Answer 1

1Newton = 10^5 dynes
     then,
 1dyne= 1/10^5 N
   multiply both sides with 10
     10 dyne = 10.(1/10^5)N
       10 dyne= 1/10^4 N
         10 dyne = 0.0001 N

Answer 2

The dimentinal formula of force is [ M L T^-2]

Represent kilogram (kg) met re (m) ,second (s) and M2 , L2 ,T2 represent gram (g) centimeter (cm) second (s) then the uni of force in MKS And CGS system

n1 = ( M1 L1 T1 ^ -2 ) = n2 ( M2L2T2 ^-2)

n2 = n1 ( M1/M2) (L1/L2) (T1/T2 ) ^-2

n2 = 10 (kg/g) (m/cm) (s/s)^-2

= 10 ( 10³g/g ) (10²cm/cm ) (s/s) ^-2

= 10 × 10³ × 10² × = 10^6

10 newton = 10^6dynes


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Convert 10dyne to newton

1N = 10^5dyne

10N = 10^5

10N ÷ 100000

= 0.0001N