- #1
strangequark
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Homework Statement
Two rocket ships, each with a rest length of 100 meters. Rocket 1 is at rest in frame S and has nose at x=0, tail at x = +100 meters. Rocket 2 is at rest in frame S' and has nose at x' = 0 and tail at x'=-100 meters. Suppose S' moves with speed V in the positive x direction realtive to S. Event A synchronizes the two frames (x=x'=t=t'=0), and event B is when the tail o rocket 2 passes the nose of rocket 1 at time t=2.5 microseconds in frame S. Find the speed V...
Homework Equations
Length contraction, and the lorentz transforms.
The Attempt at a Solution
What I did was say that the distance rocket 2 moved as observed from the S frame was:
[tex]x_{b}=\frac{L_{0}}{\gamma}[/tex]
Then the velocity would be distance over time, or:
[tex]v=\frac{\frac{L_{0}}{\gamma}}{t_{B}}[/tex]
Then I solve for v and get something like .133c for my relative velocity...
Am I on the right track here?