How Do Velocities Combine in Relativistic Physics?

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Homework Help Overview

The problem involves determining the relative velocity of two spacecraft in a relativistic context, specifically focusing on how their velocities combine when measured from different reference frames. The subject area is relativistic physics, particularly the addition of velocities in special relativity.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to apply the relativistic velocity addition formula but is uncertain about the necessary components and variables involved. Some participants suggest breaking down the velocities into their respective components and applying the formula separately for each component.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem. Some guidance has been offered regarding the treatment of the velocity components, but there is no explicit consensus on the approach to take.

Contextual Notes

There is a mention of confusion regarding subscripts and the specific variable "Ves2," which indicates a potential gap in information or understanding of the notation used in the problem.

Yukz23
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Homework Statement
Spacecraft 1 is launched from the surface of the Earth with a velocity of 0:6c (Earth
RF) at an angle of 50

above the horizontal +x axis. Spacecraft 2 is moving with a
velocity of 0:7c (Earth RF) in the x direction towards Spacecraft 1. Determine the
velocity and speed of Spacecraft 1 as measured by the pilot of Spacecraft 2.

The attempt at a solution
I'm trying to solve this and I'm stuck a bit so far all I've got is that
Vs1e (velocity of spacecraft 1 respect to earth) = 0.6cos50(c)
Vs2e = -0.7c

they want Vs1s2 = Vs1e + Ves2/ 1 + Vs1e (Ves2)/c^2

I'm stuck because I don't know what "Ves2" would be...

Thanks in advance
 
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Welcome to PF;
I can't tell either ... I hate subscripts.

In the E frame:
Craft 1 has an x and a y component.
Craft 2 only has an x component.

Use the formula on each component to find the relative velocity of frames 1 and 2.
 
Lol Thanks,

So should I first do the formulas for the x components and the y components and then combine it..and the hypotenuse would be the answer?
 
Well... one of the directions does not matter.
Remember the derivation of time dilation you did a while ago - only one of the directions counted for that too.
 

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