A tractor of mass 6 tonnes is dragging a large block of mass 2 tonnes along rough horizontal ground. The cable connecting the tractor to the block is horizontal and parallel to the direction of motion. The cable is modelled as being light and inextensible. The driving force of the tractor is $$\(7400 \mathrm{~N}\)$$ and the resistance to the motion of the tractor is $$\(200 \mathrm{~N}\)$$. The resistance to the motion of the block is $$\(R\)$$ newtons, where $$\(R\)$$ is a constant. Given that the tension in the cable is $$\(6000 \mathrm{~N}\)$$ and the tractor is accelerating, (a) find the value of $$\(R\)$$. (6) (b) State how you have used the fact that the cable is modelled as being inextensible. (1)

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