Dimensional Formula for Momentum

If energy \((E)\), velocity \((V)\) and time \((T)\) are chosen as fundamental quantities the dimensional formula for momentum \((P)\) is:

\([E^1 V^{-1} T^0]\)

\([E^{-1} V^1 T^1]\)

\([E^{-1} V^{-1} T^{-1}]\)

\([E^0 V^0 T^1]\)

Since Energy \(E = F \cdot d = P \cdot V\), momentum \(P = E V^{-1} T^0\). Thus, the dimensional formula is \([E^1 V^{-1} T^0]\).