Starting from rest, a 10.00 kg piece of luggage slides 6.00 m down a rough 30. degree incline. The it slides along a horizontal surface for some distance. The coefficient of kinetic friction between the luggage and the surface is 0.300 for both the incline and the horizontal. Assume the luggage has a smooth transition from the incline to the horizontal. This is a non-conservative system.
A) Draw the free body diagram for the luggage on the incline AND on the horizontal.
B) Calculate the force of friction acting on the suitcase on the incline plane.
C) Calculate the force of friction acting on the suitcase on the horizontal surface.
D) Using the relationship between the Wnc of the two frictions and mechanical energy, determine how far the luggage will slide on the horizontal.