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?

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter5: Displacement And Force In Two Dimensions

Section: Chapter Questions

Problem 8STP

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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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