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Answer to Question #52485 in Mechanics | Relativity for Helen

Question #52485
A car driving at 35.0 m/s takes 26 minutes to travel a certain distance according to the drivers clock in the car. How long does the trip take according to an observer at rest on Earth?
Expert's answer
Solution:
Given:
v=35 m/s
t = 26 min = 26*60 = 1560 s
Needs to find t'-?

Solution:
t'=t/sqrt(1- (v/c)^2)

Calculation in MATLAB
>> format long
>> 1560/sqrt(1 - (35/299792458)^2)

ans =

     1.560000000000011e+03

>> 1560/sqrt(1 - (35/299792458)^2)

ans =

     1.560000000000011e+03

>> 1560/sqrt(1 - (35/299792458)^2) - 1560

ans =

     1.068656274583191e-11
Answer is 1.068656274583191e-11

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