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.
  • #1
DespicableMe
41
0

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.
 
Physics news on Phys.org

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.

Similar threads

Relative velocity of two objects: one on a circular path, one on a horizontal straight path
    • Introductory Physics Homework Help
Replies
20
Views
896
SR: Finding the speed of particles wrt the laboratory
    • Introductory Physics Homework Help
Replies
6
Views
2K
Collision between two uniformly moving particles
    • Introductory Physics Homework Help
Replies
7
Views
1K
Abstract Special Relativity, particle at rest and one moving
    • Introductory Physics Homework Help
Replies
16
Views
1K
Relativity - velocity of object travelling perpendicular to the observer
    • Introductory Physics Homework Help
Replies
4
Views
2K
Acceleration: 3 people walk toward each other
    • Introductory Physics Homework Help
Replies
24
Views
2K
Relative velocities in special relativity
    • Introductory Physics Homework Help
Replies
27
Views
3K
Finding Initial Velocity v0x for Particle with Non-Constant Acceleration
    • Introductory Physics Homework Help
Replies
2
Views
3K
When do these two moving particles come together?
    • Introductory Physics Homework Help
Replies
7
Views
807
Relative velocity of accelerating and non accelerating particles
    • Introductory Physics Homework Help
Replies
22
Views
4K

Hot Threads

Recent Insights

Back
Top