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College Physics
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 slows down as it rounds a sharp horizontal turn, going from 90.0km/h to 50.0km/h in the 15.0s it takes to round the bend. The radius of the curve is 150m. Compute the total acceleration at the moment the train speed reaches 50.0km/h. Assume the train continues to slow down at this time at the same rate. A. a-2 m/s? B. a-0.74 m/s? C. a=1.48 m/s? D. a=1.29 m/s? E. a=2 m/s?
Transcribed Image Text:Question: A train slows down as it rounds a sharp horizontal turn, going from 90.0km/h to 50.0km/h in the 15.0s it takes to round the bend. The radius of the curve is 150m. Compute the total acceleration at the moment the train speed reaches 50.0km/h. Assume the train continues to slow down at this time at the same rate. A. a-2 m/s? B. a-0.74 m/s? C. a=1.48 m/s? D. a=1.29 m/s? E. a=2 m/s?
Expert Solution
Step 1

Given:

A train goes from  (v1)90 km/h to  v250km/h

The Duration of the train travel = 15 s

The radius of the curve =50 km/h

 

Step 2

On calculating the tangential acceleration using the formula as follows,

a=v2-v1t

On substituting the given values in the tangential formula,

a=50×10003600-90×1000360015

atan=-0.7407 m/s2

The Tangential acceleration is -0.7407 m/s2

 

 

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