Question

the length of the space ship measured is half of its original length.what is the speed of the space ship ?​

Answer 1

Consider a spaceship, it has a length excatly half of its rest length which means L=L

o

/2 length of the spaceship in terms of the speed parameter is given by:

L=L

o

1−β

2

Substitute with L=L

o

/2 to get

β=

1−

2L

o

L

o

2

β=0.866

Now, The spaceship's clock runs slower than the clock at rest and its given by:

△t=△t

o

γ

△t=

1−β

2

△t

o

△t=2.00△t

o