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A train is traveling up a 3.73° incline at a speed of 3.25

Chapter 5, Problem 34P

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QUESTION:

A train is traveling up a \(3.73^{\circ}\) incline at a speed of \(3.25 \mathrm{~m} / \mathrm{s}\) when the last car breaks free and begins to coast without friction. (a) How long does it take for the last car to come to rest momentarily? (b) How far did the last car travel before momentarily coming to rest?

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QUESTION:

A train is traveling up a \(3.73^{\circ}\) incline at a speed of \(3.25 \mathrm{~m} / \mathrm{s}\) when the last car breaks free and begins to coast without friction. (a) How long does it take for the last car to come to rest momentarily? (b) How far did the last car travel before momentarily coming to rest?

ANSWER:

 

Step 1 of 3

In this question, we need to find the time it takes for the last car to comes to rest momentarily

In part b, we need to find the distance the last car travels before it comes to momentarily rest

Data given:

Angle made by train \(\theta=3.73^{\circ}\)

Initial  Speed of last car \(u=3.25 \mathrm{~m} / \mathrm{s}\)

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