6 A small train at an amusement park consists of an engine and two carriages connected to each other by light horizontal rods, as shown in the diagram.
\includegraphics[max width=\textwidth, alt={}, center]{fe8c1ea4-cf4d-4741-8af5-03e8c2c88559-4_190_1038_420_493}
The engine has mass 2000 kg and each carriage has mass 500 kg .
The train moves along a straight horizontal track. A resistance force of magnitude 400 newtons acts on the engine, and resistance forces of magnitude 300 newtons act on each carriage. The train is accelerating at \(0.5 \mathrm {~m} \mathrm {~s} ^ { - 2 }\).
- Draw a diagram to show the horizontal forces acting on Carriage 2.
- Show that the magnitude of the force that the rod exerts on Carriage 2 is 550 newtons.
- Find the magnitude of the force that the rod attached to the engine exerts on Carriage 1.
- A forward driving force of magnitude \(P\) newtons acts on the engine. Find \(P\).