If energy $(E)$, velocity $(v)$and force $(F)$ be taken as fundamental quantity, then what are the dimensions of mass
If energy $(E)$, velocity $(v)$and force $(F)$ be taken as fundamental quantity, then what are the dimensions of mass
$E{v^2}$
$E{v^{ - 2}}$
$F{v^{ - 1}}$
$F{v^{ - 2}}$
If energy $(E)$, velocity $(v)$and force $(F)$ be taken as fundamental quantity, then what are the dimensions of mass
Let $m \propto {E^x}{v^y}{F^z}$
By substituting the following dimensions :
$[E] = [M{L^2}{T^{ - 2}}],\,[v] = [L{T^{ - 1}}],\,[F] = [ML{T^{ - 2}}]$
and by equating the both sides
$x = 1,\,y = - 2,\,z = 0$. So $[m] = [E{v^{ - 2}}]$
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