Special Relativity and spaceships

In summary, two identical spaceships, each 200 m long in its rest frame, pass each other in opposite directions with a relative velocity of 0.58c according to a passenger on one of the spaceships. The problem involves finding the length of each spaceship in a reference frame where they are both traveling at the same speed, which requires using length contraction equations.
  • #1
pakqft
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Homework Statement


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


Homework Equations





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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  • #2
you need to have a go at the problem yourself, before we can offer advice. think about what equations you need to use.
 
  • #3
I don't know but it may be length contraction.
 
  • #4
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?
 
  • #5
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 traveling at same speed. Then you can use this to work out what is the length of the ship in this frame.
 
  • #6
Thank you so much for your advices
 

What is Special Relativity?

Special Relativity is a theory developed by Albert Einstein in the early 20th century to explain the relationship between space and time. It states that the laws of physics are the same for all observers in uniform motion, and the speed of light is constant regardless of the observer's frame of reference.

How does Special Relativity relate to spaceships?

Special Relativity is especially relevant to spaceships because they often travel at extremely high speeds, close to the speed of light. This theory allows us to understand the effects of time dilation and length contraction on objects moving at such speeds.

What is time dilation in Special Relativity?

Time dilation is the phenomenon in which time appears to pass slower for an object moving at high speeds compared to an object at rest. This means that a clock on a spaceship moving at a high speed will tick slower than a clock on Earth, according to an observer on Earth.

What is length contraction in Special Relativity?

Length contraction is the phenomenon in which an object's length appears to be shorter when it is moving at high speeds compared to when it is at rest. This means that a spaceship traveling at high speeds will appear shorter to an observer on Earth than it actually is.

How does Special Relativity affect the concept of simultaneity?

According to Special Relativity, simultaneity – the concept of two events happening at the same time – is relative and can differ between observers in different frames of reference. This means that what may be considered simultaneous for one observer may not be simultaneous for another observer moving at a different speed. This is because the perception of time and space is relative to the observer's frame of reference.

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