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Chapter 6: Q.31 (page 155)

A 50,000kg locomotive is traveling at 10m/swhen its engine and brakes both fail. How far will the locomotive roll before it comes to a stop? Assume the track is level.

Short Answer

Expert verified

The locomotive roll about2.6×103mbefore it stops.

Step by step solution

01

Content Introduction

Deceleration is described as a reduction in speed as the body advances away from the beginning position. Negative acceleration is another name for deceleration.

02

Content Explanation

The net deceleration is provided with the formula from the equilibrium of forces F=maμsmg=maa=μsg

The rolling friction between the road and the rubber isμs=0.002

Here we are given, vi=0,vf=10

vf2+vi2=2ass=(10)22×0.002×9.81s=2.6×103m

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