Question

Does work and energy have same dimensional formula ?​

Answer 1

Answer:

work is the dot product of force and displacement along force.

e.g.,  

dimension of force =  

dimension of displacement = [L]

so, dimension of work =  

now, energy , basically, there are two types of energy are most important , we should know

kinetic energy and potential energy.

kinetic energy = 1/2 mv² dimension [ML²T^-2]

and potential energy = mgh dimension [ML²T^-2]

so, dimension of energy =  

here we can see of work and energy have same dimensional formula.