How do I find the proper distance between two particles in relativity?

In summary, the conversation discusses two particles moving at a speed of 3/4 the speed of light, which hit a stationary target with a time interval of 50 nanoseconds. The goal is to find the proper distance between the particles before hitting the target. The solution involves using the equation for length contraction and finding the rest length, which is equal to vt. The person asking for help is unsure of how to start the problem and is seeking assistance.
  • #1
dead1327
8
0
Two particles moving in a straight line in a laboratory reference system at a speed v = 3/4c, hit a stationary target with a time interval t = 50 [ns]. Finding the proper distance between the particles before hitting the target.
 
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  • #2
Show all relevant equations as well as your attempt at a solution.
 
  • #3
Not like starting..
 
  • #4
What do you mean? That you don't know where to start? If so, do you know the equation for length contraction? You need to find the rest length, and the measured length is just vt because that's how far apart the laboratory believes the particles to be.
 
  • #5
I need your help because I do not understand how to start these exercises left me doubt if they can do would be helpful
 

1. What is the theory of relativity?

The theory of relativity is a major scientific theory developed by Albert Einstein in the early 20th century. It explains how the laws of physics work in different frames of reference and how gravity affects the motion of objects.

2. What are two particles in relativity?

In relativity, two particles refer to two objects that are moving relative to each other. This could be two cars on a highway, two planets in space, or even two subatomic particles in an accelerator. The theory of relativity explains how these particles interact with each other and the effects of their relative motion.

3. How does relativity explain the concept of time dilation?

According to the theory of relativity, time is not absolute and can be experienced differently by different observers depending on their relative motion. Time dilation is the phenomenon where time appears to pass slower for objects that are moving at high speeds. This is because their motion causes a distortion in space-time, affecting the rate at which time passes.

4. Can relativity explain the behavior of particles at the quantum level?

While the theory of relativity is extremely successful in explaining the behavior of objects at the macroscopic level, it is not applicable at the quantum level. At this scale, the behavior of particles is governed by the laws of quantum mechanics, which are fundamentally different from the laws of classical mechanics that govern relativity.

5. What is the significance of Einstein's famous equation, E=mc², in relativity?

E=mc² is a fundamental equation in the theory of relativity, where E represents energy, m represents mass, and c represents the speed of light. This equation shows the relationship between mass and energy, and how a small amount of matter can be converted into a large amount of energy. It also explains the concept of mass-energy equivalence, which is essential in understanding the behavior of particles in relativity.

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