The six figures below show solid spheres (not drawn to scale) that are about to roll up inclines without slipping. The spheres all have the same mass, but their radii as well as their linear and angular speeds at Problem 2 the bottom of the incline vary. Specific values are given in the figures for the linear and angular speeds at the bottom. A B C () = 10 rad/s = 10 rad/s 0 = 10 rad/s V = 50 cm/s V = 30 cm/s v = 40 cm/s D 0 = 12.5 rad/s E F @ = 15 rad/s (0 = 20 rad/s V = 50 cm/s v = 60 cm/s v = 60 cm/s a) Who comes to a stop at the highest height above the ground? b) Who comes to a stop at the lowest height above the ground? Justify your answers with words and algebra. (Hint: Draw pies)i Problem 3 * j. A sphere of mass M, radius r, and rotational inertia I is released from rest at the top of an inclined plane of height h as shown here. a) If the inclined plane is frictionless, what is the speed V of the center of mass of the sphere at the bottom of the incline? b) If the plane has friction so that the sphere rolls without slipping. what is the speed V of the center of mass at the bottom of the incline? c) Which one has the larger linear velocity at the bottom? Justify your answer using pies