A big car of mass 2m travels at speed v, and a small car of mass m travels with a speed 2v. Both skid to a stop with the same coefficient of friction.

(a) The small car will have:

(1) a longer stopping distance

(2) the same stopping distance

(3) a shorter stopping distance

(b) Calculate the ratio of the stopping distance of the small car to that of the large car. (Use the work-energy theorem, not Newton's laws.)