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Solved: An express train passes through a station. It

College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs ISBN: 9781938168000 42

Solution for problem 36PE Chapter 2

College Physics | 1st Edition

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College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs

College Physics | 1st Edition

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Problem 36PE An express train passes through a station. It enters with an initial velocity of 22.0 m/s and decelerates at a rate of 0.150 m/s2 as it goes through. The station is 210 m long. (a) How long is the nose of the train in the station? (b) How fast is it going when the nose leaves the station? (c) If the train is 130 m long, when does the end of the train leave the station? (d) What is the velocity of the end of the train as it leaves?
Step-by-Step Solution:
Step 1 of 4<p>The initial speed, acceleration of the train and the length of the station is given. Calculate the final speed and the time when the nose of the train will leave the station and the velocity of the train at that time.

Then the length of the train is given, calculate the time when the end of the train will leave the station and the velocity of the end of the train at that time.

(a)Step 1 of 4<p>The relationship between the initial velocity (), acceleration (), time and the distance  is

......(1)

The given data are

 Substitute this values in equation (1) to calculate the time .

The time 283 indicates that, if the train continue to move with the same acceleration, the speed will become zero and then the train will come back to the given point at that time. Hence,  ignore the time 283 s.  

Hence, the nose of the train will remain for 9.88 s in the station.

(b)Step 3 of 4<p>The final velocity  is given by

  ……. (2)

Substitute the values into equation (2) and calculate the velocity .

Hence the velocity of the train when the nose of the train leave the station is 21.9 m/s.

(c)
Step 4 of 5

Chapter 2, Problem 36PE is Solved
Step 5 of 5

Textbook: College Physics
Edition: 1
Author: Paul Peter Urone, Roger Hinrichs
ISBN: 9781938168000

The full step-by-step solution to problem: 36PE from chapter: 2 was answered by , our top Physics solution expert on 07/07/17, 04:39PM. This full solution covers the following key subjects: station, train, long, velocity, nose. This expansive textbook survival guide covers 34 chapters, and 3125 solutions. College Physics was written by and is associated to the ISBN: 9781938168000. Since the solution to 36PE from 2 chapter was answered, more than 475 students have viewed the full step-by-step answer. The answer to “An express train passes through a station. It enters with an initial velocity of 22.0 m/s and decelerates at a rate of 0.150 m/s2 as it goes through. The station is 210 m long. (a) How long is the nose of the train in the station? (b) How fast is it going when the nose leaves the station? (c) If the train is 130 m long, when does the end of the train leave the station? (d) What is the velocity of the end of the train as it leaves?” is broken down into a number of easy to follow steps, and 90 words. This textbook survival guide was created for the textbook: College Physics , edition: 1.

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