Relative velocity of 2 particles

In summary, two particles with speeds of 0.5 c and 0.6 c, respectively, are emitted from a linear particle accelerator. The relative speed between the two particles can be calculated using the equation VPE = VPA + VAE, where VPE is the relative velocity between the particles, VPA is the velocity of one particle relative to the accelerator, and VAE is the velocity of the other particle relative to the accelerator. This calculation requires the use of relativistic velocity addition, which takes into account the effects of special relativity. More information can be found at the provided link.
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DespicableMe
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Homework Statement



Two particles are emitted from opposite ends of a linear particle accelerator, one with a speed of 0.5 c and the other with a speed of 0.6 c, relative to the accelerator.

What is the relative speed of the two particles?


Homework Equations



VPE = VPA + VAE

The Attempt at a Solution


I understand that there is relative velocity between:
A particle to the accelerator (V [subscript] PA )
A particle to the other particle ( V [subscript] PP)

How would I continue?
We haven't gone in depth for Rel. vel. between two moving objects - only between an object and the ground, but that section was very brief.
 
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FAQ: Relative velocity of 2 particles

1. What is the concept of relative velocity?

The relative velocity of two particles is a measure of the speed and direction of one particle with respect to the other. It takes into account the motion of both particles and describes how they are moving relative to each other.

2. How is relative velocity calculated?

To calculate the relative velocity, you need to determine the velocity of both particles and then subtract one from the other. This will give you the magnitude and direction of the relative velocity vector.

3. Can relative velocity be negative?

Yes, relative velocity can be negative. This typically means that the two particles are moving in opposite directions.

4. How does the relative velocity of two particles affect their collision?

The relative velocity of two particles plays a crucial role in their collision. If the relative velocity is high, the collision will be more forceful and likely result in greater damage. If the relative velocity is low, the collision will be more gentle.

5. What factors can affect the relative velocity of two particles?

The relative velocity of two particles can be affected by various factors, such as the initial velocities and directions of the particles, the forces acting on the particles, and any external factors like wind or friction.

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