What is the Dimensional Formula of Work?
Work is defined as force multiplied by displacement .Mathematically its formula is
Work= Force x Displacement
Now, we have already derived the dimensional formula for force and displacement. So
Dimensional Formula of Force= M1L1T-2
Dimensional Formula of Displacement = M0L1T0
Thus
Dimensional Formula of Work= (M1L1T-2) x M0L1T0
Dimensional Formula of Work= M1L2T-2
SI units of Work is Joule represented by J
It should be noted that energy of all types ( Surface Tension, Kinetic, Potential etc) have the same dimensional formula as that of Work. Moreover the Moment of Force represented by N-m also have same Dimensional formula