Question

In the unit force is 100n unit of length 10mand unit of time 100s what is the unit of mass in the system unit

Answer 1

force= MLT⁻²

length=L

time= T

therefore M= FˣLⁿTᵇ

                M= [MLT⁻²]ˣ [L]ⁿ [T]ᵇ

                M=Mˣ Lˣ⁺ⁿ Tᵇ⁻²ˣ

                by comparing LHS and RHS

             x=1,   x+n=0 i.e. n=-1,   b-2x=0 i,e, b=2

therefore, M=F¹ L⁻¹ T²

           but units of F, L, T are 100N, 10m, 100 s respectively

∴ M= 100 × 10⁻¹ × 100²

⇒ M= 100000