How Fast Does My Friend Appear When We Travel in Opposite Directions at 0.7c?

Click For Summary
SUMMARY

The discussion centers on the relativistic effects of traveling at high speeds, specifically at 0.7c, where 'c' represents the speed of light. When one individual travels away from Earth at 0.7c and another travels in the opposite direction at the same speed, the speed observed by the first individual can be calculated using the velocity-addition formula: \(\frac{0.7 + 0.7}{1 + 0.7 \times 0.7}\,c\). This formula accounts for the relativistic effects that occur at significant fractions of the speed of light, demonstrating that the perceived speed is not simply additive.

PREREQUISITES
  • Understanding of special relativity principles
  • Familiarity with the concept of 'c' as the speed of light
  • Knowledge of the velocity-addition formula
  • Basic mathematical skills for manipulating equations
NEXT STEPS
  • Study the implications of special relativity on time dilation and length contraction
  • Learn about Lorentz transformations in special relativity
  • Explore practical applications of the velocity-addition formula in astrophysics
  • Investigate the effects of traveling at relativistic speeds on mass and energy
USEFUL FOR

Students and enthusiasts of physics, particularly those interested in special relativity, as well as educators looking to explain relativistic concepts effectively.

Shark 774
Messages
42
Reaction score
0
If I travel away from Earth at 0.7c, relative to the Earth and my friend travels in the opposite direction at 0.7c, relative to the Earth, what speed to I measure him to be traveling at, relative to myself?
 
Physics news on Phys.org

Similar threads

  • · Replies 17 ·
Replies
17
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 36 ·
2
Replies
36
Views
4K
  • · Replies 15 ·
Replies
15
Views
2K
  • · Replies 50 ·
2
Replies
50
Views
5K
  • · Replies 11 ·
Replies
11
Views
1K
  • · Replies 35 ·
2
Replies
35
Views
4K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 26 ·
Replies
26
Views
2K
  • · Replies 14 ·
Replies
14
Views
2K