work = force x displacement suppose i went to office and came back so my displacement will be zero , does that mean i have done no work at all despite the loss of energy i have incurred?
Work is force times distance. A force is applied on an object over a distance. It must be displaced for work to be done. Therefore, standing in the same spot holding a box, without moving means no work is done on that body. However, if you carry that box from point A to point B, work is done in Joules.
First of all.
Work is defined as the scalar product of force and displacement.
W = F.s
Therefore it is a scalar, it is not a vector. So you just add them up and you dont take a sign into account.
Therefore total work you done = Work from home to office+ work from office to home.
They add up, they dont cancel out.
Energy is also the same. It is a scalar too, not a vector.
Work = F*d