Dimensional Formula of Work
We know that: Work done (W) = F.s cos θ _____(1)
Force = mass × acceleration
Dimensional formula of force
F = [MLT-2]
Dimensional formula of displacement
s = [L]
From equation (1), enter the force and displacement numbers without considering the angle.
Work done W = F.s
Hence, the dimensional formula of work (W) = [ML2T-2]
Factors Affecting Work:
Any mass-containing object that experiences force will alter in acceleration and velocity. The amount and direction of force are both characteristics of a vector quantity. No work is done by force if the force acting on an object is zero, regardless of whether the item is in a dynamic or static state
The vector variable known as displacement provides the shortest distance between any object's starting and ending positions. The network that a force does on an object is zero if the resultant displacement in the direction of the force caused by a force acting on that object is zero. For instance, if we use all of our force against a stiff wall and still cannot move it, we can conclude that no work has been done on the wall.
What is the dimensional formula of Work? (a) ML2T-2 (b) ML-1T-3 (c) MLT3 (d) ML-1T-2
The dimensional formula of Work is ML2T-2. Force and displacement are multiplied together to create work.