Question

Give an example of a situation in which there is a force and a displacement, but the force does no work. explain why it does no work

Answer 1

Work is equal to force times distance times cosine of the angle between the force and the path vector making it a scalar or dot product. Work is independent of the path taken. It refers to positive change in KE or negative change in PE.
 So for example if you lift a box from ground to waist height then, you did positive work over the distance you lifted it. If you pick it up to that same height, then put it back done on the ground at same place, then no work is done. 

Hope this makes sense. Any questions please ask. Thank You!

Answer 2

Say you have an object such as a block on a flat surface with no friction to resist it while being displaced. The block moves but no work is done.