Six blocks with different masses, m, each start from rest at the top of smooth, frictionless inclines having length d and vertical height h and slide down. Rank the order, from greatest to smallest, of the final kinetic energies of the masses when they reach the bottom of the inclines after having traveled their full lengths. If any of the situations yield the same kinetic energies, give them the same ranking.
(a) m = 10 kg; h = 1 m; and d = 10 m
(b) m = 10 kg; h = 1 m; and d = 5 m
(c) m = 5 kg; h = 0.5 m; and d = 10 m
(d) m = 1 kg; h = 2 m; and d = 5 m
(e) m = 1 kg; h = 0.5 m; and d = 5 m
(f) m = 15 kg; h = 0.75 m; and d = 7.5 m