# Physics

A train consists of two carts and an engine. If m = 1000 kg, and the train is moving with an acceleration of 5.5 m/s2, find the tensions between the engine and the middle cart.

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1. T1 is the tension in the coupling between the locomotive and the first car,
T2 the tension in the coupling between the first and the second car.
Newton’s 2 law for the first car is
ma = T1-T2, .......(1)
for the second car:
ma =T2,............(2)
Plug (2) in (1)
ma = T1 – ma,
T1 = 2 ma = 2•1000•5.5 =11000 N

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