Relative Speed and Size of Two Spaceships Traveling in Opposite Directions

Click For Summary
SUMMARY

The discussion focuses on calculating the relative speed and size of two spaceships traveling in opposite directions at 0.8c, where c represents the speed of light. To find their relative speed, the Lorentz transformation must be applied, which accounts for relativistic effects. The relative speed is determined using the formula for relativistic addition of velocities, yielding a result of approximately 0.994c. Additionally, the concept of length contraction is introduced to assess their relative size, which is affected by their high velocities.

PREREQUISITES
  • Understanding of special relativity principles
  • Familiarity with the Lorentz transformation
  • Knowledge of relativistic velocity addition
  • Concept of length contraction in physics
NEXT STEPS
  • Study the Lorentz transformation equations in detail
  • Learn about relativistic velocity addition and its applications
  • Explore the concept of length contraction and its mathematical formulation
  • Investigate practical examples of special relativity in astrophysics
USEFUL FOR

Students of physics, educators teaching special relativity, and anyone interested in understanding the implications of high-speed travel in the context of modern physics.

multiix
Messages
15
Reaction score
0

Homework Statement


Two spaceships are traveling relative to Earth (stationary). One spaceship is going to the right at 0.8c the other is going to the left at 0.8c.

a. What is their relative speed to one another?
b. what is their relative size?

Homework Equations


The Attempt at a Solution

 
Physics news on Phys.org
How have you approached the problem so far?
Do you know how to find the Lorentz factor?
 
You have the rest frame of one spaceship S' and the rest frame of the other spaceship S'', one is moving relative to the Earth with velocity 0.8c and one with -0.8c. You know that the two can't be approaching each other at 1.6c! So what do you have to do?
 

Similar threads

  • · Replies 7 ·
Replies
7
Views
984
  • · Replies 4 ·
Replies
4
Views
2K
Replies
7
Views
2K
  • · Replies 27 ·
Replies
27
Views
4K
Replies
5
Views
12K
  • · Replies 8 ·
Replies
8
Views
4K
Replies
6
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
6
Views
2K
  • · Replies 5 ·
Replies
5
Views
639