A block of mass m is pulled up a smooth incline that makes an angle α with the horizontal. The pulling force F acts horizontally (not along the incline) while the block moves a distance s up the plane.
a. (i) Resolve the horizontal force F into components parallel and perpendicular to the incline.
b. (ii) Derive an expression for the work done by the force F during the displacement s along the incline in terms of F, s and α.
c. (iii) Obtain the work done by gravity on the block for the same displacement.
d. (iv) Hence show that the net work done on the block equals Fscosα−mgssinα. If the block starts from rest, determine the speed it acquires after moving the distance s.