Time Difference between two inertial frames of reference

  • #1
1
0

Homework Statement


Let S and S' be two inertial frames of reference where S' is moving at a velocity of 0.6c relative to S.

When x = x' = 0, t = t' = 0, where t and t' are time of the clocks on S and S' respectively and x and x' are the x-coordinates of the S and S' frames respectively.

An event occurs at S when t = 2 × 10-7s and x = 50m. What is t' when the event occurs at S'?

Homework Equations


t = ϒ t'

The Attempt at a Solution


Let t' be the proper time.
t = ϒ t' where t = 2 × 10-7s and v = 0.6c.
Solving, I got t' = 1.6 × 10-7s but the answer is 1.25 × 10-7s.
What am I doing wrong?
 

Answers and Replies

  • #2
PeroK
Science Advisor
Homework Helper
Insights Author
Gold Member
2021 Award
21,886
13,202
You've taken the wrong approach. The time an event takes place in S' depends on both the time and position it takes place in S.

Have you heard of the Lorentz Transformation?
 

Related Threads on Time Difference between two inertial frames of reference

Replies
0
Views
2K
Replies
4
Views
3K
  • Last Post
Replies
1
Views
11K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
2
Views
4K
  • Last Post
Replies
2
Views
2K
Replies
3
Views
2K
Replies
2
Views
614
Replies
6
Views
9K
Replies
7
Views
4K
Top