What is the relative velocity of the two reference frames?

In summary, the particle has an energy of 5GeV and momentum of 3GeV in a certain reference frame. In a frame where its momentum is 4GeV/c, the energy is unknown. The rest mass of the particle is 8.88*10^-27 and the relative velocity between the two reference frames is 0.6c. This can be calculated using the relativistic momentum conservation law and the equation v=(pc^2)/e.
  • #1
nellywood
1
0

Homework Statement


A particle as observed in a certain reference frame has energy 5GeV and momentum 3GeV. what is the energy in a frame in which its momentum is equal to 4GeV/c?
what is its rest mass?
what is the relative velocity of the two reference frames?

Homework Equations


The Attempt at a Solution


v=(pc^2)/e
v=0.6c which is the relative velocity of the 2 frames

at v=0
e=mc^2
therefore m=e/m^2=8.88*10^-27 which is the rest mass of the particle
 
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  • #2
I would use the relativistic momentum conservation law
[tex]E^2/c^2 + \vec{p}^2 = m^2 c^2[/tex]
in both frames. Afterwards you could use your formula to calculate the relative velocity of those two frames.
 
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1. What is relative velocity?

Relative velocity is the velocity of an object or observer with respect to a different reference frame. It is a measure of how fast an object is moving relative to a different point of reference.

2. How do you calculate relative velocity?

The relative velocity between two reference frames can be calculated by subtracting the velocity of one frame from the other. It is important to note that relative velocity is always measured from the perspective of one frame to another.

3. What is the difference between relative velocity and absolute velocity?

Absolute velocity is the velocity of an object with respect to a fixed and unchanging reference frame, such as the Earth. Relative velocity, on the other hand, is the velocity of an object with respect to a different moving reference frame.

4. How does the relative velocity affect the perception of time and space?

According to Einstein's theory of relativity, time and space are relative concepts and can be affected by the relative velocity between two reference frames. This means that an observer in one frame may perceive time and space differently from an observer in a different frame.

5. Can relative velocity be greater than the speed of light?

No, according to the theory of relativity, the speed of light is the maximum speed at which anything can travel. Therefore, relative velocity between two reference frames cannot be greater than the speed of light.

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