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Relativistic bullet (Posted on 2003-11-28) Difficulty: 5 of 5
We all know about the ultimate speed limit... the speed of light.

If person A stands on Earth and shoots his pistol, he observes the bullet to fly directly away at 1000 mph. Person B is standing right next to him (not in front) and watches this event, and agrees that the bullet flies directly away at 1000 mph.

Let's change the situation and say that B is in a spaceship, and A is in a different (and very long) spaceship with lots of windows. B's ship is hovering in space (no thrusters/acceleration). A's ship is approaching from a distance and is going to pass B's ship (very close) but at incredible speed. Make careful note that A's ship is NOT thrusting or accelerating at all, it is "coasting". In fact, A's ship is moving, relative to B's ship at 10 mph less than the speed of light. WOW!

A stands in the middle of his ship and points his gun directly forward (in the direction of travel), and fires the same pistol at the exact moment that he is passing B.

The questions are: How fast does he observe the bullet leave the gun? How fast does B observe the bullet leave the gun?

How do your answers change (if at all) if A aims backwards when he fires?

See The Solution Submitted by SilverKnight    
Rating: 3.5000 (8 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: What a doppler effect! | Comment 3 of 20 |
(In reply to What a doppler effect! by Eric)

no, A has a right to his own frame of reference (according to his observation, nothing is moving, everything is realtive to him except the godd ol' speed of light). A will see the same thing as he did on earth, a bullet moving 1000 mph.
  Posted by rerun141 on 2003-11-28 19:18:06

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