What is the tension in the coupling

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    Coupling Tension
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The discussion revolves around calculating the tension in the coupling between the third and fourth cars of a train, which consists of 14 cars each weighing 53,000 kg, while the train accelerates at 0.26 m/s². The initial approach to find tension using the formula F=ma was questioned, particularly regarding the relevance of the specific cars mentioned. Participants also introduced a separate problem involving the hoisting of a rock, which requires understanding the relationship between force, mass, and acceleration. The calculations for both scenarios highlight the complexities of applying physics principles to real-world problems. Ultimately, the conversation emphasizes the need for clarity in problem setup and the correct application of formulas to derive accurate results.
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An inter city Express locomotive pulls 14 cars, each with a mass of 53,000 kg. What is the tension in the coupling between the thrid and fourth cars when the acceleration of the train is 0.26m/s.


ok so I am looking for T.
F=ma
53000(0.26) = T?
i don't think this is correct because they mentioned 3,4 cars
or was that just random?


I don't know at all.




Added:
a) What is the minimum time in which one can hoist a 1.00-kg rock height of 10.0m if the string used to pull the rock up has a breaking strength of 10.8 N? Assume the rock to be initially at rest.
b) If the string is replaced by one that is 50% stronger, by what percentage will the minimum time for the hoist be reduced.


alright a) i just used a= 2(x-xo)/t^2 and then i got 2(10)/t^2 = 10.8/1
so i got 10.8=20/t^2 and so t would be root 10.8 but the answer is 4.5s... why??

b) i need to get a) to solve this...
 
Last edited:
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Don't you have an idea about the whole system?

Your whole system is 14 cars, being pulled by a train with an acceleration of 0.26 m/s^2. Think about the problem of the 3 blocks (between each block there's a string) being pulled by a force F.
 
so there is T1 T2 and T3 and i have to find T3.
isnt T3
F=ma
F= (m1+m2+m3).26
so it would be 3(53000)(0.26) = T?
 
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