A train 500 m long is moving on a straight track with a speed of 81.1 km/h. The engineer applies the brakes at a crossing, and later the last car passes the crossing with a speed of 17.6 km/h. Assuming constant acceleration, determine how long the train blocked the crossing. Disregard the width of the crossing.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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A train 500 m long is moving on a straight track with a speed of 81.1 km/h. The engineer applies the brakes at a crossing, and later the last car passes the crossing with a speed of 17.6 km/h. Assuming constant acceleration, determine how long the train blocked the crossing. Disregard the width of the crossing.
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Transcribed Image Text:A train 500 m long is moving on a straight track with a speed of 81.1 km/h. The engineer applies the brakes at a crossing, and later the last car passes the crossing with a speed of 17.6 km/h. Assuming constant acceleration, determine how long the train blocked the crossing. Disregard the width of the crossing. Need Help? Read It
Expert Solution
Introduction:

It is given that,

the length of the train is L=500 m,

the initial velocity of the train is: u=81.1 km/h=81.1 × 13.6  m/s=22.53 m/s

the final velocity while the car passes the crossing is: v=17.4 km/h=17.4×13.6 m/s =4.83 m/s

Considering an constant acceleration, it is required determine how long the train blocked the crossing.

According to the issue, the train's distance traveled during this velocity change is equal to its length. Thus, L=s=500 m.

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