Two inertial systems are uniformly separating at a speed of exactly β0.84π. In one system a jogger runs a mile (1609m)
in 6 min along the axis of relative motion. How far in meters does he run and how long does it take, to observers in the other
system?
To be given in question
Velocity (v)=β(0.84c)
= 6 minutes
To be asked in question
Distance run=?
Times run=?
We know that
Eqution (1) put values
Time
Eqution (2)put values
Put v=β(.84c)
Z=900 sec
=15 minutes
Z=15minutes after and distance L=643.6meter after observer is other systems
Separation of speed =
Put values
separation of distance
Put valuesd1=1609meter
d2=643.6meter equation (2) put values
βd=965.1meter
Separation distance 965.1meter
Separation Speed=1.072meter/sec
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