A tugboat pulls two barges down the river. The barge connected to the tugboat, carrying coal, has an inertia of \(2.0 \times 10^{5} \mathrm{~kg}\), and the other barge, carrying pig iron, has an inertia of \(3.0 \times 10^{5} \mathrm{~kg}\). The resistive force between the coal barge and the water is \(8.0 \times 10^{3} \mathrm{~N}\), and the resistive force between the pig iron barge and the water is \(10 \times 10^{3} \mathrm{~N}\). The common acceleration of all three boats is \(0.40 \mathrm{~m} / \mathrm{s}^{2}\). Even though the ropes are huge, the gravitational force exerted on them is much smaller than the pulling forces.

(a) What is the tension in the rope that connects the tugboat to the coal barge?

(b) What is the tension in the rope that connects the two barges?

(c) Repeat parts \(a\) and \(b\) for the case in which the order of the barges is reversed.