1 Train A freight train pulls 100 freight cars, each with a mass of 100,000 kg,
ID: 1790393 • Letter: 1
Question
1 Train A freight train pulls 100 freight cars, each with a mass of 100,000 kg, along straight tracks over level ground. The couplings between cars are jointed rods of negligible mass. The train is accelerating at a constant rate of 5 cm/s2 (a) What is the tensile force in the coupling between the engines and the first freight car? (b) What is the tensile force in the coupling to the last freight car? (c) What is the tensile force in the coupling between N-th car and the car directly in front of it?Explanation / Answer
a) since there are 100 freight cars ,the tensile force in the coupling between the engines and the first friehgt car should be sufficient to pull all the 100 cars at 5cm/s2 acceleration.
Therefore, tensile force in the coupling = 100*100000*0.05=500000 Newtons
b) The tensile force in the coupling to the last car should be sufficient to pull the last freight car.
this force = 100000*0.05=5000Newtons
c)The coupling force between the Nth car and the car directly in from of it = (101-N)*100000*0.05=5000(101-N) Newtons
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