You use a rope of length \(\ell\) to tie the front of a \(1500-\mathrm{kg}\) truck to the rear of a \(1000-\mathrm{kg}\) car and then use an identical rope of length \(\ell\) to tie the front of the car to the rear of a \(500-\mathrm{kg}\) trailer. Each rope will break if its tension exceeds \(2000 \mathrm{~N}\). You attach a strong cable to the rear of the truck and use a winch to pull it with a force of magnitude \(F\).

(a) What is the acceleration of the three-vehicle system?

(b) What is the maximum pulling force you can exert on the truck before a rope breaks?

(c) If you now attach the cable to the front of the trailer and again pull the system, what is the maximum force with which you can pull it without snapping a rope?