Time Dilation and aging Problem

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SUMMARY

The discussion centers on calculating time dilation experienced by an individual flying 5000 km across the United States at a speed of 250 m/s. The relevant time dilation equation used is delta_t = delta_t' / sqrt(1 - beta^2), where beta is defined as v/c, with v being the velocity of the airliner and c being the speed of light (3.0 x 10^8 m/s). The correct calculation yields a time difference of 1.39 x 10^-8 seconds, contrasting with the incorrect value of 1.7 x 10^-5 seconds derived by one participant. The conversation also touches on the need for access to a solution manual for mastering physics.

PREREQUISITES
  • Understanding of special relativity concepts, particularly time dilation
  • Familiarity with the equation delta_t = delta_t' / sqrt(1 - beta^2)
  • Basic knowledge of velocity and the speed of light (c)
  • Ability to perform calculations involving scientific notation
NEXT STEPS
  • Study the implications of time dilation in special relativity
  • Learn how to derive the time dilation equation from Lorentz transformations
  • Explore practical applications of time dilation in GPS technology
  • Investigate the effects of relativistic speeds on aging and biological processes
USEFUL FOR

Students of physics, educators teaching special relativity, and anyone interested in the practical implications of time dilation in real-world scenarios.

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Homework Statement


You fly 5000 km across the United States on an airliner at 250 m/s. You return two days later traveling at the same speed. How much less have you aged more then your friends at home.

Homework Equations



I think the time dilation equation is used:
delta_t= delta_t'/ sqrt(1-beta^2) where beta= v/c


The Attempt at a Solution



I have the solution from the solution manual but i'd like to know how they got to the answer, 1.39×10−8 s.

to find the delta t is the equation delta_t=delta_x/v used?

the beta is (250m/s)/(3.0*10^(8) m/s )

i keep getting 1.7 *10^-5 although the solution manual says this is incorrect.

Any advice is appreciated!
 
Physics news on Phys.org
hi !

I've been so desperate to find the solution manual for mastering physics..!

Can you please tell me where you got it/?

or if it is possible, I would really really appreciate it if you could can it to my email, which is

guswns3310@hotmail.com

Thank you very much
 

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