I like your reasoning, but you make two mistakes.
1. the arrow is boosted by its own kinetic energy. Its velocity is equal to that of the fighter jet. Kinetic energy is a function of velocity: E=mv²/2
You are right, comparing the kinetic energy it has while not being fired is almost the same as after its being fired, so the image you draw is correct.
2. Light is fundamentally different from the objects you compare it to. Your reasoning doesnt apply. Light is massless, it doesnt get pulled by gravity (only by general relativity effects, which we are neglecting and wouldnt apply in this situation anyway). Light always travels at the same speed, regardless of the objects you compare it to.
1 light year is the distance light travels in a year.
So for 1.) Does this mean that a laser beam particles inside an airplane cabin flying at 600mph would be travelling the same speed as laser beam particles on the ground?
In that case, assuming the ships are 1 light year apart, flying 99% the speed of light, then it would take 99 or 100 years for the first laser to reach the ship in front.
And for 2, it would only take 6 months? (180.675 days)
The answer is 1 year. The speed of light is relative.
Fuck, I was literally about to type 1 year and then I refreshed the thread and saw it was answered.
I had actually been thinking about it for an hour, and once I drew it on paper the answer came within seconds. I drew 2 ships and marked the line between them as 1 light year. Since they're moving the same speed, light has to travel 1 year to clear the space. Durr.
Fuck, I was literally about to type 1 year and then I refreshed the thread and saw it was answered.
I had actually been thinking about it for an hour, and once I drew it on paper the answer came within seconds. I drew 2 ships and marked the line between them as 1 light year. Since they're moving the same speed, light has to travel 1 year to clear the space. Durr.
I happen to be an astrophysicist. Feel free to ask interesting questions.
Heres a question for you:
Assuming two space ships, 1 light year apart. Both travelling at a speed close to the speed of light. Lets say 99% of the speed of light, in the same direction (this is a difficult statement to make, because the concept of direction as we know it really only holds under certain conditions). The space ship that is "behind" fires a laser, because theyve got some beef. Laser is light. How long does it take for the laser to reach the other space ship? You dont need a calculator to answer this question.
Knowing the answer to question one, how long would it take for a laser fired by the space ship in front to reach the other one?
Does a "laser" beam stay a "laser" beam for ever or does it disperse?
If it does, I would also imagine the ship would shoot itself in the foot essentially traveling at the same speed as the laser, 1 bump into it and it would blow up the ship, I would assume.
Is there an additional propelling force in a laser beam beyond the speed of light? If it has no mass it cannot be propelled, so it would end up hitting the ship that shot it.
Several questions:
Nope. A fundamental law of physics is the fact that you keep your velocity, UNLESS some force acts upon you. Since light is massless, and force depends on mass, lights direction and velocity can not be changed.
Mirrors?
Heres a new one:
You have a stick that reaches the sun. Assume the sun to be a rigid body, not some burning gas thing. The only physical aspect we are interested in is the relativistic length. The stick does especially not bend under gravitational forces or something.
Now you try to poke the sun with your stick. Does the sun get poked? If yes, how long does it take for the poke to arrive at the sun?