If velocity, time and force were chosen as basic quantities, find the dimensions of mass and energy.

We know that, Force = mass × acceleration =mass× velocity  time  ⇒ mass = force x time  velocity  Or [ mass ]=[ force ]×[ time ][ velocity ]=[F][T][v] [mass]=FTv-1Dimensions of energy are same as the dimensions of kinetic energy[ Energy ]=12mv2=[m][v]2=FTv-1[v]2=[FTv]