In& a new system of units, the unit of force is 100 N , unit of...

Here, force (F) = [MLT^–2] = 100 N ...(i)

Length (L) = [L] = 10 m ...(ii)

Time (t) = [T] = 100 s ...(iii)

Substituting values of L and T from Equations. (ii) and (iii) in Equation. (i), we get

M × 10 × (100)^–2 = 100

or $\dfrac{M \times 1 0}{1 0 0 \times 1 0 0} = 1 0 0$

or M = 100 × 1000 kg

$\text{M} = {10}^{5 } \text{kg}$