Physics questions, no other values are given, I mostly just need to solve for an algebraic expression

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. Pronlem 1| Four objects are placed in a row at the same height near the top of a ramp and are released from rest at the same A i-ltg solid sphere time. The objects are (A) a l-kg solid Sphere; (B) a lkg l-kg hollow sphere hollow sphere; (C) a 2-kg solid sphere; and (D) a Ikg thin hoop. All four objects have the same diameter, and the hoop has a width that is one-quarter its diameter. The time. it takes the objects to reach the nish line near the bottom of the ramp is recorded. The moment of inertia for an axis passing through its center of mass for a solid sphere is MRZ; for a hollow sphere it is MRz; and for a hoop it is MR1. Finish line Start line Rank the four objects from fastest to slowest. Justify your answer using words and algebra. Problem 5 A bowling ball of mass M and radius R. whose moment of inertia (I) about its center is (2/5)MR2. rolls without slipping along a level surface at speed V. What is the maximum vertical height to which it can roll if it ascends an incline? l['r'ou can do this! Start by drawing a picture and create some pies. Now set the pies equal. Make the same kind of substitutions as we did in our examples.) Answer: (NJ/(109)