A farmer is trying to haul three (500-mathrm{kg}) trailers connected together with identical ropes that will break

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A farmer is trying to haul three \(500-\mathrm{kg}\) trailers connected together with identical ropes that will break if their tension exceeds \(2000 \mathrm{~N}\). The first trailer is connected to his tractor with a rigid hitch.

(a) If the tractor has to overcome a frictional force of \(900 \mathrm{~N}\) per trailer to start them moving, what is the minimum force the tractor must exert on the first trailer to get them all rolling if the ropes are taut?

(b) What is the maximum force the tractor can exert without breaking any rope?

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