Time Dilation

  • #1
A particle lives for a short time before breaking apart into other particles. Suppose it is moving at a speed of 0.996c, and an observer who is stationary in a laboratory measures the particle's lifetime to be 3.00 10-8 s.
What is the lifetime according to a hypothetical person who is riding along with the particle?




The Attempt at a Solution


I tried
t=t(0)/(1-v2/c2)^1/2
where t=3.00 10-8s and i'm finding t(0) proper.
my answer is 3 10-9 which is wrong. what am I doing wrong?
 

Answers and Replies

  • #2
412
2
A particle lives for a short time before breaking apart into other particles. Suppose it is moving at a speed of 0.996c, and an observer who is stationary in a laboratory measures the particle's lifetime to be 3.00 10-8 s.
What is the lifetime according to a hypothetical person who is riding along with the particle?




The Attempt at a Solution


I tried
t=t(0)/(1-v2/c2)^1/2
where t=3.00 10-8s and i'm finding t(0) proper.
my answer is 3 10-9 which is wrong. what am I doing wrong?
i have forgotten this stuff, but try multiplying it if dividing doesn't work
 
  • #3
Doc Al
Mentor
45,140
1,443
my answer is 3 10-9 which is wrong. what am I doing wrong?
I suggest carrying more significant figures in your answer.
 

Related Threads on Time Dilation

  • Last Post
Replies
20
Views
3K
  • Last Post
Replies
1
Views
793
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
1
Views
985
  • Last Post
Replies
22
Views
3K
  • Last Post
Replies
6
Views
1K
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
9
Views
2K
  • Last Post
Replies
1
Views
384
Top