- #1
Hamza Abbasi
- 47
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Homework Statement
Two spaceships pass each other. Spaceship A moves relative to nearby planet at velocity v1 , while spaceship B moves at velocity v2 relative to the planet . How fast does spaceship A moves relative to spaceship B.
Homework Equations
Velocity Transformation : v* = (v-u)/(1-(vu/c2))
Inverse Velocity Transformation : v= (v*+u)/(1+(v*u/c2))
The Attempt at a Solution
Let planet be the S frame
Let spaceship B be the S* frame
Let spaceship A be the event
Then,
v= velocity of event according to S frame ( here planet)
v* = velocity of the event according to S* frame (Here spaceship B)
u= relative velocity of S* frame wrt to S frame
event = Spaceship AUsing these :
v= v1
u=-v2
v* = V (which we have to find)
Using the inverse velocity transformation I get the solution :
V= v1+v2/(1+(v1v2/c2))
But correct solution given in the textbook is
V = |v1-v2|/(1-(v1v2/c2)
Can some one help me with this ! :)