A 10kg suitcase is placed on a horizontal conveyor belt the top of which moves to the right. The coefficient of static friction between the belt and box is µs = 0.5 and that of kinetic friction is µk = 0.3.

a) Sketch a free body diagram for the suitcase, showing all forces acting and the net force if the conveyor belt moves with increasing speed and the suitcase does not slip.

b) Imagine now that the conveyor belt is moving with constant speed. The box is dropped from a height and lands to slide on the belt without bouncing. state in which direction the force of kinetic friction acts and why.