How Do Relative Velocities Transform in Special Relativity?

  • Thread starter Thread starter wansui
  • Start date Start date
  • Tags Tags
    Speed Velocity
AI Thread Summary
The discussion focuses on calculating relative velocities in special relativity, specifically for objects A and B moving at 0.9c and 0.7c relative to a stationary observer E. Participants are encouraged to use provided equations to determine the speeds of B and E from A's frame, and vice versa. It is emphasized that relative speed is symmetrical in special relativity, meaning if A sees B moving at speed v, then B sees A moving at the same speed v. The discussion also suggests consulting a specific resource for further understanding. Understanding these transformations is crucial for grasping the principles of special relativity.
wansui
Messages
1
Reaction score
0
If A is moving to the left at a speed of 0.9c relative to E, B is moving to the right at a speed of 0.7c relative to E.

In the reference frame of A, what is the speed of B?
In the reference frame of A, what is the speed of E?
In the reference frame of B, what is the speed of A?
In the reference frame of B, what is the speed of E?:rolleyes:
 
Physics news on Phys.org
Have a look at this page:

http://www.math.ucr.edu/home/baez/physics/Relativity/SR/velocity.html

Try to see if you can answer your own questions using the equations there, and then post again if you're still having trouble. Also, note that speed in special relativity is symmetrical between any two reference frames--if in my frame you are moving at speed v relative to me, then in your frame I will also be moving at speed v relative to you.
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'Minimum mass of a block'
Here we know that if block B is going to move up or just be at the verge of moving up ##Mg \sin \theta ## will act downwards and maximum static friction will act downwards ## \mu Mg \cos \theta ## Now what im confused by is how will we know " how quickly" block B reaches its maximum static friction value without any numbers, the suggested solution says that when block A is at its maximum extension, then block B will start to move up but with a certain set of values couldn't block A reach...
Thread 'Calculation of Tensile Forces in Piston-Type Water-Lifting Devices at Elevated Locations'
Figure 1 Overall Structure Diagram Figure 2: Top view of the piston when it is cylindrical A circular opening is created at a height of 5 meters above the water surface. Inside this opening is a sleeve-type piston with a cross-sectional area of 1 square meter. The piston is pulled to the right at a constant speed. The pulling force is(Figure 2): F = ρshg = 1000 × 1 × 5 × 10 = 50,000 N. Figure 3: Modifying the structure to incorporate a fixed internal piston When I modify the piston...
Back
Top