Three coupled railroad cars roll along and couple with a fourth car, which is initially at rest. these four cars roll along and couple with a fifth car initially at rest. this process continues until the speed of the final collection of railroad cars is one-fifth the speed of the initial three railroad cars. all the cars are identical. how many cars are in the final collection?

n=15

Explanation:

First of all let's define all the variables,

The total number of cars is given by n

The initial speed of the three cars is v

The final speed of all cars is

The mass of each car is m

So applying the conservation of the moment, we have

as ,

We have to,

n = 15

The total number of cars is 15

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