- #1
alingy1
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A firecracker explodes at the origin of an inertial reference frame. Then, 2.0 microseconds later, a second firecracker explodes 300m away. Astronauts in a passing rocket measure the distance between the explosions to be 200m. According to the astronauts, how much time elapses between the two explosions?
Okay. My textbook answers this question using spacetime interval consistency which is simple.
I don't understand why the time dilation formula does not work:
$$Δt = \frac {Δτ}{ \sqrt{1-\frac{v^2}{c^2}}}$$
Where v is simply the ratio between 300m and 2 microseconds.
Δτ=?
Δt=2x10^-6 s
Okay. My textbook answers this question using spacetime interval consistency which is simple.
I don't understand why the time dilation formula does not work:
$$Δt = \frac {Δτ}{ \sqrt{1-\frac{v^2}{c^2}}}$$
Where v is simply the ratio between 300m and 2 microseconds.
Δτ=?
Δt=2x10^-6 s