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What is Dimensional Formula of Kinetic Energy?

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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 = M1L0T0
Dimensional formula of velocity= M0L1T-1

Putting the values in the above equation we get,

Dimensional formula of Kinetic energy (K.E) = M1L0T0 X ( M0L1T-1)2

Dimensional formula of Kinetic energy (K.E) = M1L0T0 X M0L2T-2

Dimensional Formula of Kinetic energy= M1L2T-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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Comments
  • Mystearica Herondale August 4, 2016 at 9:06 am

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    This site really helped me a lot.

  • Kamran Ali August 17, 2016 at 9:16 am

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  • Young Sampson September 2, 2016 at 12:03 am

    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

  • admin September 5, 2016 at 2:09 am
  • Ishika May 26, 2017 at 9:29 am

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

  • admin May 27, 2017 at 12:00 am

    hi Ishika,

    Please check http://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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