Problem 8. A smooth cube of mass m and edge length r slides with speed v on a horizontal surface with negligible friction. The cube then moves up a smooth incline that makes an angle 0with the horizontal. A solid cylinder of mass m and radius r rolls without slipping with its center of mass moving with speed v (so Vem = v) and encounters an incline with the same angle of inclination but with sufficient static friction that the cylinder continues to roll without slipping. (a) Which object will travel the greater distance up the incline and why? (b) Find the difference between the distances the objects travel up the incline.

Fig: 1