A train of mass 86100 kg is traveling along a straight, level track at 26.8 m/s. Suddenly the engineer sees a truck stalled on the tracks 184 m ahead. If the maximum possible braking force has magnitude 54.0 kN, how much distance will the train travel before coming to rest?

A train of mass 86100 kg is traveling along a straight, level track at 26.8 m/s. Suddenly the engineer sees a truck stalled on the tracks 184 m ahead. If the maximum possible braking force has magnitude 54.0 kN, how much distance will the train travel before coming to rest?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 28P: In a classic clip on Americas Funniest Home Videos, a sleeping cat rolls gently off the top of a...

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Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –

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Expert Solution

Step 1

Given

Mass of the train (m) = 86100 kg

Speed (v) = 26.8 m/s

Maximum braking force = 54.0 kN

Therefore maximum acceleration

(a) = Force /mass

= (54 × 10³ N)/86100 kg

= 0.627 m/s²

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