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Lucille
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Homework Statement
bob and anna are in two space ships of proper length 100m; anna's ship passes bob's and is moving in the -x dir at v=0.75c. the front of anna's ship and the tail of bob's ship coincide at x=x'=t=t'=0. bob sits at the window in his ship and sees a clock inside anna's ship
a) what position is the window in bob's space ship
b) what time does this clock in anna's ship read
Homework Equations
x'=gamma(x-vt)
x=gamma(x'+vt')
t'=gamma(-v/c^2*x+t)
t=gamma(v?c^2*x+t')
delta t = gamma delta to
L = Lo/gamma
The Attempt at a Solution
a)
so if bob sees the clock at the end of anna's ship, then:
L=Lo/gamma = sqrt(1-v^2/c^2)*Lo = sqrt(1-0.75^2)*(100)=66.1m <-- position of bob's window in his spaceship (distance from the end of his spaceship to the window)
b)
i tried :
x=100m
v=0.75c
t'=x'/v = 4.45 * 10^-7 s
But I'm not sure if this is correct...