# What is Dimensional Formula of Kinetic Energy?

Posted in Dimensional Formulae | Email This Post |Kinetic energy can be defined as the energy possessed by the body by virtue of its motion.

Mathematically,

Kinetic energy (K.E) = 1/2 [Mass (m) X Velocity (v)^{2}]

Dimensional formula of Mass = M^{1}L^{0}T^{0}

Dimensional formula of velocity= M^{0}L^{1}T^{-1}

Putting the values in the above equation we get,

Dimensional formula of Kinetic energy (K.E) = M^{1}L^{0}T^{0} X ( M^{0}L^{1}T^{-1})^{2}

Dimensional formula of Kinetic energy (K.E) = M^{1}L^{0}T^{0} X M^{0}L^{2}T^{-2}

**Dimensional Formula of Kinetic energy= M ^{1}L^{2}T^{-2}.**

SI unit of Kinetic energy is Joule (J).

Note : In the above equation ½ is a constant and constants do not affect the dimensional formula of any quantity.

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This site really help me a lot, please can you explain further on our to determine the dimension of these two quantities WORK and POWER

Dimensional formula of Work

Dimensional formula of power

Where is the ½ gone from the formula of kinetic energy and what about [M0 L¹ T-¹]² …

Plzz.reply fast..🙏🙏🙏🙏

hi Ishika,

Please check https://www.azformula.com/physics/dimensional-formulae/what-is-dimensional-formula-of-kinetic-energy/ for explanation.

Regarding ½ : ½ is a constant and it doesn’t affect the dimensional formula.

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sir, thank u , kindly tell me how to write dimensional formula for 3rd equation of motion i.e 2as=vf2-vi2

regards

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