Two train cars being coupled on tracks

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The discussion revolves around a physics problem involving two train cars, A and B, where car A is stationary and filled with pig iron, while car B is moving towards it. The goal is to determine the initial speed v of car B before coupling and the energy lost during the coupling process. The cars couple and travel 20 meters before stopping, with the coefficient of static friction between iron-on-iron given as 1.1. Participants are required to show their attempts at solving the problem before receiving assistance. The focus is on applying principles of momentum and energy conservation to find the required values.
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3. Two train cars are to be coupled on the tracks. One of the cars, say A is initially at rest. The other car, say B is traveling at a speed v toward A: Car B is empty, whilst car A is full of pig iron and has a mass of 102mB: After coupling, the two cars travel a distance of 20 meters before coming to rest. The coefficient of static friction of iron-on-iron is 1.1. Assume the tracks are level.
(a) What was the initial speed v of car B?
(b) How much energy was given up to the coupling process?
 
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Again, please show us your attempt at a solution. We are not allowed to help unless you have shown that you have already tried the problem.
 
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