Newton's Second Law (F=ma)
1. A train locomotive of mass 10 000 kg is used to pull carriages along a section of horizontal track.
The connection between the locomotive and the first carriage, and the connections between each carriage, may all be modelled as light rods parallel to the direction of motion along the track.
The locomotive’s engine is able to provide a maximum driving force of 20 000 N, and the resistance to motion of the locomotive is modelled as a constant force of 3000 N.
The carriages all have the same mass, and the resistance to motion of each carriage is modelled as a constant force of 1000 N.
A guard in the rearmost carriage of the train has been measuring the tension in the connecting rod between the rearmost carriage and the one in front of it. He has noticed that with the train moving forward and the locomotive providing maximum driving force in the forward direction, the tension measured when there are three carriages attached to the locomotive is 437.8 N greater than the tension measured when there are four carriages attached to the locomotive.
Use this information to find the mass of a single train carriage, giving your answer correct to 4 significant figures.
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