Answered: A train of mass 86100 kg is traveling…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

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?

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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