## Epicteatime one year ago If a meterstick moves to your right at a constant velocity of 0.8c, what would you measure its length to be?

1. epicteatime

@nincompoop

2. epicteatime

anyoneee

3. epicteatime

@aaronq

4. Astrophysics

Length contraction

5. Astrophysics

$\huge L = \frac{ L_0 }{ \gamma } = L_0 \sqrt{1-\frac{ v^2 }{ c^2 }}$

6. Astrophysics

$L_0$ is your proper length, L is the length observed by an observer in relative motion (respect to the object), v is your relative velocity, and finally c is the speed of light

7. epicteatime

yep that xD

8. epicteatime

I think the answers 0.6m, what do you think?

9. Astrophysics

$L_0 = 1m$ $v = 0.8c$ $L = 1m \times \sqrt{1-\frac{ (0.8c)^2 }{ c^2 }} = \sqrt{1-\frac{ 0.64c^2 }{ c^2 }}m = 0.6m ~~ \checkmark$

10. epicteatime

HUDDAH!

11. epicteatime

xD Thanks for le confirmation fwendo :D

12. Astrophysics

Np :)

13. epicteatime

but just to be sure, do you cancel out the c^2 or smt?

14. Astrophysics

Yes, it gets cancelled out

15. epicteatime

ah, thanks xD

16. Astrophysics

|dw:1436160757936:dw|

17. epicteatime

:D