Relativity Help: Finding Distances, Angles & Perimeters

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SUMMARY

This discussion focuses on solving problems related to relativistic physics, specifically finding distances, angles, and perimeters in different reference frames. Key scenarios include two particles moving at a speed of v = 3/4c and calculating the proper distance before they hit a stationary target, as well as determining angles in moving reference frames. Additionally, the perimeter of a triangle with sides of length Lo is analyzed in a reference system moving at velocity V. Participants are encouraged to identify relevant equations and demonstrate their problem-solving attempts for effective discussion.

PREREQUISITES
  • Understanding of special relativity concepts, including time dilation and length contraction.
  • Familiarity with the Lorentz transformation equations.
  • Basic knowledge of geometry, specifically properties of triangles.
  • Ability to perform calculations involving velocities as fractions of the speed of light (c).
NEXT STEPS
  • Study the Lorentz transformation equations for converting coordinates between different reference frames.
  • Learn how to calculate time dilation effects in relativistic scenarios.
  • Explore the concept of proper length and how it differs from observed length in moving systems.
  • Investigate the geometric properties of triangles in relativistic contexts, including perimeter calculations.
USEFUL FOR

Students and professionals in physics, particularly those studying or working in the field of relativity, as well as educators looking to enhance their understanding of relativistic effects on distance and angles.

dead1327
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1.-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.

2.-Certain particle moving with velocity v in a sitema O; its direction forms an angle μ with the axis X. To determine the corresponding angle in the system X´ which moves with velocity V over the system or in the positive direction of X axis if the X and X´ match.

3.-There is a triangle where the length of each one of its sides is equal to Lo. Calculate the perimeter of this triangle in a reference system moving with constant with V respect to the over:
a) one side;
b) one of its bisectors.
 
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Welcome to PF. If you check out the rules you will find that you need to do some work. First, identify the relevant equations and second, show your attempt at a solution. From there, we would have something to discuss.
 
I need your help because I do not understand how to start these exercises left me doubt if they can do would be helpful
 

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