Solution Found!
Consider a particle in hyperbolic motion, (a) Find the
Chapter 12, Problem 28P(choose chapter or problem)
Problem 28P
Consider a particle in hyperbolic motion,
(a) Find the proper time τ as a function of t, assuming the clocks are set so that τ = 0 when t = 0. [Hint: Integrate Eq. 12.37.]
(b) Find x and v (ordinary velocity) as functions of τ .
(c) Find ημ (proper velocity) as a function of τ .
Reference equation 12.37
Questions & Answers
QUESTION:
Problem 28P
Consider a particle in hyperbolic motion,
(a) Find the proper time τ as a function of t, assuming the clocks are set so that τ = 0 when t = 0. [Hint: Integrate Eq. 12.37.]
(b) Find x and v (ordinary velocity) as functions of τ .
(c) Find ημ (proper velocity) as a function of τ .
Reference equation 12.37
ANSWER:
Solution 28P
Step 1 of 4:
- We need to find out the proper time as a function of .
Consider a particle travelling in hyperbolic motion,
,
Then
We know that,
And,