- #1
EngageEngage
- 208
- 0
[SOLVED] Time Dialation Help
A bomb is placed on a space probe just before it's launched. The timer is set to trigger the bomb after exactly 24hrs. The probe travels away from Earth on a straight line at v=.9c. How long after launch will the observers on the Earth see the flash of light from the exploding bomb?
[tex]\Delta\tau=\Delta t \sqrt{1-\frac{v^{2}}{c^{2}}}[/tex]
[tex] \Delta\tau = 24hrs.[/tex]
[tex]\Delta t = \frac{24hrs}{\sqrt{1-.9^{2}}} = 55hrs[/tex]
But, the textbook gives a time of 105hrs. Can anyone please tell me why what I did is wrong? This seems like a straightforward problem and I have no clue where I mesed up. Any help is greatly appreciated.
Homework Statement
A bomb is placed on a space probe just before it's launched. The timer is set to trigger the bomb after exactly 24hrs. The probe travels away from Earth on a straight line at v=.9c. How long after launch will the observers on the Earth see the flash of light from the exploding bomb?
Homework Equations
[tex]\Delta\tau=\Delta t \sqrt{1-\frac{v^{2}}{c^{2}}}[/tex]
The Attempt at a Solution
[tex] \Delta\tau = 24hrs.[/tex]
[tex]\Delta t = \frac{24hrs}{\sqrt{1-.9^{2}}} = 55hrs[/tex]
But, the textbook gives a time of 105hrs. Can anyone please tell me why what I did is wrong? This seems like a straightforward problem and I have no clue where I mesed up. Any help is greatly appreciated.