Dimensional Formula of Potential Energy

The dimensional formula of Potential Energy is given by,

[M¹ L² T^-2]

Where,

• M = Mass
• L = Length
• T = Time

Derivation

Potential Energy (P.E) = Mass × Acceleration due to Gravity × Altitude . . . . . . (1)

The dimensional formula of Altitude and Mass = [M⁰ L¹ T⁰] and [M¹ L⁰ T⁰] respectively . . . . (2)

For acceleration due to gravity, the dimensional formula = [M⁰ L¹ T^-2] . . . . (3)

On substituting equation (2) and (3) in equation (1) we get,

Potential Energy = Mass × Acceleration due to Gravity × Altitude

Or, P.E = [M¹ L⁰ T⁰] × [M⁰ L¹ T^-2] × [M⁰ L¹ T⁰] = [M¹ L² T^-2]

Therefore, Potential Energy is dimensionally represented as [M¹ L² T^-2].

⇒ Check Other Dimensional Formulas:

• Dimensions of Young Modulus
• Dimensions of Temperature
• Dimensions of Boltzmann Constant
• Dimensions of Mobility
• Dimensions of Power of Lens