Question

how to find dimensional unit of kinetic energy

Answer 1

Hey there !!!!!

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Any physical quantity like energy,force,power can be written in the form of dimensions in terms of Mass(M), Length(L), Time(T) 

Kinetic Energy = (Mass)(Velocity)²/ 2

                       = (Mass)(Distance/time)²/2

Dimensional formula of mass= M , distance=L , time = T

When we write a dimensional formula of a quantity we neglect the constants i.e, in this case "2"

So dimensional formula of Kinetic energy : 

           Kinetic Energy = (Mass)(Velocity)²/ 2

                                  = (Mass)(Distance/time)²/2
                          
                                  =(M)(L/T)²=[ML²T⁻²]

So dimensional formula of kinetic energy = [ML²T⁻²]

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Hope this helped you.....................