Question

in CGS system,the magnitude of the force is 100 dynes.in an another system where the fundamental physical quantities are kilogram, metre and minute the magnitude of the forces

Answer 1

I Newton =100000 dynes. We use newton in mks(metre kilogram second) and dunes in cgs(centimetre gram second)

Answer 2

let the value of force in another system where the fundamental physical quantities are kg,meter,minute be x

then ,using the formula : N1 U1=N2 U2,

the dimensional formula of force = MLT^(-2)

100dynes/x = (g/kg)*(cm/m)* [ (seconds/minute)^(-2) ]

hence,

100/x= (g/1000g)*(cm/100cm)* [(second/60seconds) ]^-2

100/x = 10^(-3)* 10^(-2)* 1/60*60       {since 1kg = 1000g,1 m=100cm,1minute=60 seconds and here 60*60 because of square of time in denominator

solving we get, x=3.6