(a)
I'll write everything in earth frame.
The light catches up to ship 1 at , then
so that
and similarly, for ship 2:-
(b)We have both t's and x's in earth frame. Transform them into ship 1's frame:
where
similarly,
according to the requirement
using expressions of t's
assuming v1 is not 1
(c)
In earth frame
dashed lines represent 45 degree lines, in c=1 units.
In Ship 1 frame
where red is the earth's world line and
and the world line of ship 1 coincides with time axis.
Two spaceships leave the Earth at time t-0 in opposite directions with velocities v1 and v2...
Two spaceships leave the Earth at time t-0 in opposite directions with velocities v, and v2 (v1 > v2). At a subsequent time ts, two light signals are sent from the Earth to both of the spaceships. E and E2 are the events of the light signal reached at spaceship 1 and spaceship 2 respectively. (a) Find ti and x of E, and the spatial coordinates of E, and Ea as viewed from (30 marks) the Earth. (b) Obtain the...