- #1

RodolfoM

- 8

- 2

- Homework Statement
- Two rockets, both with lenght L, travel at opposite directions with speed 0.8c relative to the distant stars. Calculate how much time it will pass, relative to an observer that is moving along with one of the rockets, since the moment the rockets cross each other until they have completely surpassed one another.

- Relevant Equations
- ϒ=sqrt(1-v²/c²)

Length contraction, time dilation

Firstly, I calculated the relative speed between the two rockets, finding v=1.6c/1.64. Then, I applied the length contraction: the length of the moving rocket will be 0.6L due to this phenomena, so the total distance traveled by one rocket, with respect to the the other, will be 1.6L. Therefore, the time they will take to pass one another will be

t=1.6L/(1.6c/1.64)=1.64L/c.

Is this correct? How would I solve the problem finding the time with respect to the distant stars and then applying the time dilation?

Thanks!