Question

Two rockets A & B fly past an observer. "A" moves at constant speed 1000 m/s relative to ground, "B" moves at constant speed 1000 m/s relative to ground and opposite of rocket A. Rocket A sends light opposite to where it is heading.

You are standing on the ground observing the sky. Two spaceships A and B fly past you. Spaceship A is moving at a constant speed of 1000 m/s relative to the ground. Spaceship B is moving opposite to A at speed of 1000 m/s relative to the ground. Spaceship A fires a strobe light that sends out a pulse of light opposite to where it is heading. 


a) What is the velocity of spaceship A relative to spaceship B? 

b) What is the velocity of spaceship B relative to spaceship A?

c) How fast is the speed of light as observed by an observer on spaceship A? 

d) How fast is the speed of light as observed by an observer on spaceship B? 

e) How fast is the speed of light as observed by you?

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Answer #1

The velocities of spaceship A and spaceship B are in the opposite directions.

Hence,

(1) the velocity of spaceship A relative to spaceship B = 1000 m / s - ( - 1000 ) m / s = 2000 m / s,

(2) the velocity of spaceship B relative to spaceship A = 1000 m / s - ( - 1000 ) m / s = 2000 m / s.

According to the postulate of relativity, the speed of light remains the same as c in all the inertial frames.

Hence,

(3) the speed of light as observed by an observer on spaceship A = c = 3 x 108 m / s,

(4) the speed of light as observed by an observer on spaceship B = c = 3 x 108 m / s,

(5) the speed of light as observed by you = c = 3 x 108 m / s.


answered by: ANURANJAN SARSAM
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Two rockets A & B fly past an observer. "A" moves at constant speed 1000 m/s relative to ground, "B" moves at constant speed 1000 m/s relative to ground and opposite of rocket A. Rocket A sends light opposite to where it is heading.
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