Calculate Train Speed Increase: 84 km/h in 495.7s | Force Physics Problem

AI Thread Summary
A freight train with a mass of 1.4x10^7 kg is analyzed to determine the time required to accelerate from rest to 84 km/h using a constant pull of 6.7x10^5 N. The acceleration is calculated as 0.047 m/s², leading to a time of 495.7 seconds for the speed increase. The initial confusion arose from an incorrect conversion that suggested a time of 2.97x10^4 minutes, which is incorrect. The correct conversion shows that 495.7 seconds equals approximately 8.26 minutes. The discussion emphasizes the importance of accurate unit conversion in physics problems.
mandy9008
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Homework Statement


A freight train has a mass of 1.4x107 kg. If the locomotive can exert a constant pull of 6.7x105 N, how long does it take to increase the speed of the train from rest to 84 km/h?

Homework Equations


F=ma
a=v/t

The Attempt at a Solution


I converted 84 km/h into 23.3 m/s.
F=ma
6.7x10^5 N=1.4x10^7 m (a)
a= .047 m/s^2

a=v/t
.047 m/s^2=(23.3 m/s)/t
t=495.7s --> 2.97x10^4 min
 
Last edited:
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That looks correct.
 


when I enter it it says that it differs significantly from the correct answer
 


mandy9008 said:
when I enter it it says that it differs significantly from the correct answer

the t =2.97x104 min is not correct.

t= 495.7 s should be correct.
 


the question asks for time in minutes
 


i converted it and got 8.26 min and got it correct.i don't know what i was thinking converting it before haha thanks
 
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