A rough inclined plane is placed on a cart moving with a constant velocity u on horizontal ground. A block of mass M rests on the incline. Is any work done by force of friction between the block and incline? Is there then a dissipation of energy?
The block is in the state of rest on the inclined plane, as shown below.
We have,
Since there is no displacement in the block, the total work is done by f as well as the block amounts to zero. So, no dissipation of energy takes place as the work done is also zero.