- #1

AronYstad

- 24

- 3

- Homework Statement
- A spacecraft is moving with a velocity of 85 km/s relative to Earth. How long does it take before an originally synchronized clock on the spacecraft falls 1.0 s behind a clock on Earth?

- Relevant Equations
- $$\Delta T = \gamma \Delta T_0$$

$$\gamma = \frac{1}{\sqrt{1 - v^2/c^2}}$$

This was part of a test we did a while back, so I forgot how exactly I solved it, but I think I basically solved the question by putting the values into equations and hoping for the best, since I didn't have a good understanding back then. Since then, I have learnt that it's a good idea to break questions up into events, and that works for most questions. For example, if the question was about the time between the clock on the spacecraft showing 12:00 and the clock on the spacecraft showing 13:00, then those would be the two events, and ##T_0## would be the time measured on the spacecraft, since that reference frame observes the two events at the same spacial coordinate. However, in this question, I am having trouble breaking the problem up like that, since the question is about comparing two clocks, not just observing a single one.