Thanks. I couldn't get it before because I use the Lorentz transformation on x for y and z as well.
The Lorentz transformation for y and z are y = y' and z = z' respectively. Are they so because the direction of motion considered is taken to be the x direction since space is isotropic? And...
I have another question:
Homework Statement
The quantity I = -(ct)2 + x2 + y2 + z2 is called the "invariant interval" because it is unchanged under Lorentz transformations. In other words the distance between an event and the origin changes and the time changes, but I doesn't. Prove this is...
Going by the definition, proper time is measured by the clock which position remains fixed in a frame. And the dilated time is always greater than the proper time. So based on the answer, trocket is then the proper time and tearth is the dilated time. Is that right?
I thought that it was a typo as well, but apparently not.
Assuming one of them is trocket:
using time dilation, trocket = 6.944 x 10^-7 s
using length contraction, trocket = 4.444 x 10^-7 s
Is that correct?
Homework Statement
Q1. Firecrackers are placed at points A and B, which are 100m apart as measured in the rest frame of the earth. As a rocket shop, moving at speed v = 3/5 c, passes point A the firecracker there explodes. As the rocket passes point B, the second firecracker explodes. As read...