A railway engine of mass $$\(1500 \mathrm{~kg}\)$$ is attached to a railway truck of mass $$\(500 \mathrm{~kg}\)$$ by a straight rigid coupling. The engine pushes the truck up a straight track, which is inclined to the horizontal at an angle $$\(\alpha\)$$, where $$\(\sin \alpha=\frac{7}{25}\)$$. The coupling is parallel to the track and parallel to the direction of motion, as shown in Figure 3. The engine produces a constant driving force of magnitude $$\(D\)$$ newtons. The engine and the truck experience constant resistances to motion, from non-gravitational forces, of magnitude $$\(1200 \mathrm{~N}\)$$ and $$\(500 \mathrm{~N}\)$$ respectively. The thrust in the coupling is $$\(2000 \mathrm{~N}\)$$. The coupling is modelled as a light rod. (a) Find the acceleration of the engine and the truck. (4) (b) Find the value of $$\(D\)$$. (4)

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