To find the quantity with the same dimensions as energy, we compare the dimensional formulae of the given options:

1. Energy: Defined as the capacity to do work. Its dimensions are $[ML^2T^{-2}]$ .
2. Analyze Options:

• Power: Rate of doing work ($P = W/t$). Dimensions: $[ML^2T^{-2}] / [T] = [ML^2T^{-3}]$ .
• Force: Mass $\times$ Acceleration ($F = ma$). Dimensions: $[M][LT^{-2}] = [MLT^{-2}]$ .
• Momentum: Mass $\times$ Velocity ($p = mv$). Dimensions: $[M][LT^{-1}] = [MLT^{-1}]$ .
• Work: Force $\times$ Displacement ($W = F \cdot d$). Dimensions: $[MLT^{-2}][L] = [ML^2T^{-2}]$ .

3. Conclusion: The dimensions of Work $[ML^2T^{-2}]$ are identical to those of Energy.