1) The cars on the C-train subway each have a mass of 36,000 kg. Normally there
ID: 1434280 • Letter: 1
Question
1) The cars on the C-train subway each have a mass of 36,000 kg. Normally there are 6 cars linked together in one train. Each car has its own motor and contributes to the motion of the train. a) How much force would each car need to create so that the entire train will accelerate at 1. 5 m/s^2? Now imagine that only the first car has a working motor, the other 5 are just being towed by car 1. b) How much force would car 1 need to create to accelerate the whole train at 1.5 m/s^2? c) What is the force that car 2 exerts on car 1 during acceleration?
Explanation / Answer
a.) Each car's force F = ma
F = 36000 x 1.5 = 54000 N
b.) Now the total mass that needs to be pulled by 1st car's motor = 6m = 216000 kg
Net force on 1st car's motor = 6m x a = 216000 x 1.5 = 324000 N
c.) Apart from the force required to carry it's own weight at the given acceleration, the remaining force is exerted on car one by car 2
therefore, force exerted by car 2 on car 1 = Net force to accelerate the entire train - force to accelerate 1st car
ans = 324000 - 54000 = 270000 N
Yes, car 2 exerts such a great force on car one, because it's not about it's (car 2) own weight, but note that it intern is pulling 4 other cars.
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