Eight cars move along smooth horizontal roadways in the same direction at specified speeds, v, toward identical barriers. All the cars have the same size and shape, but carry different loads and, hence, have different masses, m. The cars collide with the barriers and come to a stop after having traveled some distance. Assume the force exerted on each of the cars by their respective barrier is the same. Rank the situations described here from greatest to smallest according to the stopping distance of each vehicle. If any situations yield the same stopping distance, give them the same ranking.
(a) m = 1000 kg; v = 10 m/s
(b) m = 1000 kg; v = 20 m/s
(c) m = 1000 kg; v = 30 m/s
(d) m = 3000 kg; v = 10 m/s
(e) m = 2000 kg; v = 10 m/s
(f) m = 2000 kg; v = 20 m/s
(g) m = 2000 kg; v = 30 m/s
(h) m = 3000 kg; v = 20 m/s