Question

If the unit of force is $4\text{N}$, unit of length is $4\text{m}$ and unit of mass is $\frac{1}{4}\text{kg}$ in a new system, then the new unit of velocity in $m/s$ is

Answer 1

$F=M^1{L}^1{T}^{-2}$
$4=\frac{1}{4}\times 4T^{-2}$
$T^{-2}=4$
$\Rightarrow T=\frac{1}{2}\text{sec}$
Velocity $=L{T}^{-1}=4\times {\left(\frac{1}{2}\right)}^{-1}=8\text{m/s}$