Two ships are moving toward each other with velocity of 0.7c. At time zero in reference frame O (reference frame of Earth), Ship 1 nearly collides with Earth and Ship 2 is at the distance of 100000 km from Earth.
a) How long does it take according to the clock on Earth before the ships collide? What are thecoordinates of each ship at the collision?
b) The clock in reference frame O¢ where Ship 1 is always at origin and at rest is set to zero when Ship 1 nearly collides with Earth. What will the clock in O¢ show when the two ships collide?
c) Calculate the distance between the two ships in O¢ when the Ship nearly collides with Earth.
d) The distance to the other ship divided by the time until the collision (all measured in the reference frame of Ship 1) gives the relative velocity of the two ships. Calculate the relative
velocity and comment on the value.
bloom
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