Inphysics, aforceis said to doworkif, when acting, there is adisplacementof the point of application in the direction of the force. For example, when a ball is held above the ground and then dropped, the work done on the ball as it falls is equal to the weight of the ball (a force) multiplied by the distance to the ground (a displacement).The SI unit of work is thejoule(J), which is defined as the work expended by a force of onenewtonthrough a displacement of onemetre.Work is a vector quantity.

Dimensional Formula is defined as the expression of the physical quantiy in terms of its basic unit with proper dimensions.

The dimension of mass, length and time are represented as[M],[L]and[T]respectively.

So in order to write dimensional formula of

1 Work -

Work=Force×DisplacementWork=Force×Displacement

Now keeping unit of force and displacement we get the unit of work.

Work=NmWork=Nm

NowN=kgm/s2N=kgm/s2

So,

Work=kgms2×mWork=kgms2×m

Work=kgm2s−2Work=kgm2s−2

So dimensional formula of work is

Work=ML2T−2