how to find dimentional formula of kinetics energy ?
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si unit of kinectic energy's is joule . in fundamental units joule is kgm²s^-2. there a there is power 1 on mass unit, power 2 on lenght unit,power -2 on time unit. hence dimensional formula is [M^1L^2T^-2].
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Hey there !!!!!
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Hope this helped you.....................
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Hope this helped you.....................
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