Special relativity homework question time dilation

Click For Summary
SUMMARY

The discussion centers on a homework problem involving time dilation in special relativity, specifically calculating the age of a passenger traveling to Altair at 95% of the speed of light. The relevant equation used is Δtmoving = Δtrest x [square root of (1−v^2/c^2)]. The participant expresses confusion over whether the age calculation should be based on Earth time or the time experienced by the traveler. The consensus is that the problem is well-structured, focusing solely on the Earth frame of reference without complications from acceleration.

PREREQUISITES
  • Understanding of special relativity concepts
  • Familiarity with the time dilation equation
  • Basic knowledge of speed, distance, and time relationships
  • Ability to interpret physics problems in a frame of reference
NEXT STEPS
  • Study the implications of time dilation in special relativity
  • Learn how to apply the Lorentz transformation equations
  • Explore practical examples of time dilation in high-speed travel scenarios
  • Review the physics of light years and their application in interstellar distances
USEFUL FOR

Students studying physics, particularly those focusing on special relativity, educators teaching advanced physics concepts, and anyone interested in the effects of high-speed travel on time perception.

natxio
Messages
7
Reaction score
0

Homework Statement


You are a passenger on a brand-new spaceship that travels at 95% of the speed of light, i.e.,
v = 0.95 × c. The spaceship is bound for the star, Altair, at a distance of 17 light years from
Earth. If the spaceship departs on your 21st birthday, at a speed of v = 0.95c, how old are you
when the spaceship arrives at Altair?

Homework Equations


Δtmoving = Δtrest x [square root of (1−v^2/c^2)]

v= d/t

The Attempt at a Solution


I have no idea how to do this problem, in my opinion it appears to be poorly worded, I don't know if the professor means age relative to Earth time or age relative to the traveling speed. This is my attempt to find a solution:

v=d/t v=0.95c --> 0.95c= 17lightyears/ t

t= d/ v

t= 17ly/ 0.95 c
 
Last edited:
Physics news on Phys.org
I sympathize with you; relativity really confused me, too! Even those guys at CERN measuring neutrinos were confused. I remember just enough to know that this question is very well worded - no nonsense about accelerating at the beginning or end to worry about. Just the Earth frame of reference. I think your calc is correct, but you better check here to be sure:
http://physics.bu.edu/py106/notes/Relativity.html
 

Similar threads

  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 30 ·
2
Replies
30
Views
4K
  • · Replies 67 ·
3
Replies
67
Views
5K
  • · Replies 12 ·
Replies
12
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
Replies
1
Views
1K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
6
Views
2K