# Dimensions of Energy

## Dimensional Formula of Energy

The dimensional formula of energy is given by,

M1 L2 T-2

Where,

• M = Mass
• L = Length
• T = Time

### Derivation

Energy = m × c2 . . . . (1)

Where m = mass and c = velocity

Since, velocity (c) = Distance × [Time]-1 = M0 L1 T-1

∴ The dimensional formula of velocity = M0 L1 T-1 . . . . (2)

On substituting equation (2) in equation (1) we get,

Energy = m × c2

Or, E = [M] × [L1 T-1]2 = M1 L2 T-2.

Therefore, energy is dimensionally represented as M1 L2 T-2.