Help Solve Twin Paradox Calc: A & B 1 Lyr Apart

In summary, A and B are 1 lyr apart and have synced their watches. C is moving at a speed of 0.5 times the speed of light and when C reaches B, their watches are also synced. The question asks for the time shown on A and C's watches when they meet. The answer can be found using the formula ##\Delta\tau=\sqrt{\Delta t^2-\Delta x^2/c^2}##, where ##\Delta x## is the distance traveled and ##\Delta t## is the travel time as measured by the planets. From there, the elapsed time for the traveller, ##\Delta\tau##, can be determined.
  • #1
almarino dtd
3
1
TL;DR Summary
no acceleration
A and B 1 lyr apart and sync watches, C moving at .5 C, when at B, C sync watch with B, what time does A and C's watch show when meet. (I was told answer already here but could not find).
 
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  • #2
If an object travels a distance ##\Delta x## in a time ##\Delta t## then the time it experiences is ##\Delta\tau=\sqrt{\Delta t^2-\Delta x^2/c^2}##. You've specified ##\Delta x## and ##v##. Can you determine ##\Delta t##, the travel time as measured by the planets? If so, you should be able to deduce the elapsed time for the traveller, ##\Delta\tau##.
 

Related to Help Solve Twin Paradox Calc: A & B 1 Lyr Apart

1. What is the Twin Paradox?

The Twin Paradox is a thought experiment in physics that explores the concept of time dilation in the theory of relativity. It involves two identical twins, one of whom travels through space at high speeds while the other remains on Earth. When the traveling twin returns, they find that they have aged less than their twin who stayed on Earth.

2. How does the Twin Paradox relate to "Help Solve Twin Paradox Calc: A & B 1 Lyr Apart"?

The "Help Solve Twin Paradox Calc: A & B 1 Lyr Apart" refers to a specific calculation that can be used to solve the Twin Paradox. It takes into account the time dilation and relative velocity of the traveling twin to determine the age difference between the two twins.

3. Can the Twin Paradox be solved?

Yes, the Twin Paradox can be solved using the appropriate equations and calculations. However, it is important to note that it is a thought experiment and not a real-world scenario, so the results may not be applicable to actual situations.

4. What factors affect the outcome of the Twin Paradox?

The outcome of the Twin Paradox is affected by the relative velocity between the two twins, the duration of the trip, and the distance traveled. These factors all contribute to the amount of time dilation experienced by the traveling twin.

5. Why is the Twin Paradox important in physics?

The Twin Paradox is important in physics because it helps to illustrate the principles of time dilation and the theory of relativity. It also highlights the concept of relative motion and its effects on time and space. Understanding the Twin Paradox can lead to a better understanding of the fundamentals of modern physics.

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