# Special Relativity and spaceships

#### pakqft

1. Homework Statement
Two identical spaceships,each 200 m long in its rest frame pass one another travelling in opposite directions.According to a passenger in one of the spaceships,the relative velocity of the two spaceships is 0.58c.

2. Homework Equations

3. The Attempt at a Solution
What the length of each spaceship in a reference frame in which both are of equal length?

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#### BruceW

Homework Helper
you need to have a go at the problem yourself, before we can offer advice. think about what equations you need to use.

#### pakqft

I don't know but it may be length contraction.

#### HallsofIvy

Homework Helper
A "reference frame in which both are of equal length" is one in which the two space ships have the same speed. What would that be?

#### BruceW

Homework Helper
yes. The problem is about length contraction. And as HallsofIvy is saying, you need to work out what is the transform to a frame where both ships are travelling at same speed. Then you can use this to work out what is the length of the ship in this frame.

#### pakqft

"Special Relativity and spaceships"

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