In response to :- . . . A hockey puck is hit once and responds exactly as you say. After the hit, it can accelerate no more quite simply because it is being hit no more. The hockey stick can be FRS (for stick), the puck can be FRP. For ease of argument we can say that the force in FRS causes FRP to accelerate to 10 Kph. After that initial hit, it coasts forever at that speed. This was the answer :-
[quote=“Trinopus, post:354, topic:388750”]
Incorrect: the hockey puck is hit again and again, many times, and many times in the same direction as it is already moving.
That answer is ludicrous. I have been accused of not knowing Newton’s laws, but what do we make of that statement?
Your fixation on “internal sources of acceleration” is pointless.
To put it another way, the payload of a rocket does not have an internal source of acceleration. The rocket motor is not part of the payload.
Does this make any difference? No… You’re harping on something that has no relevance whatsoever.
Of course you are correct in saying that the rocket’s payload does not have an internal source of acceleration, but that has no relevance here.
The relevance is explained here, and has been explained before. I used a jet aircraft as an analogy because the principles are the same as a space rocket, and a jet aircraft can, and does fly faster than its exhaust speed. It can only do this if it carries the engine with it. If the engine is bolted to the runway instead of the aircraft, with the exhaust pointing at the rear of the aircraft where there is a large collector plate instead of the motor, it will still impart the same thrust to the aircraft when they are (very) close together, but as the aircraft speeds off down the runway, the acceleration gets less and less. It cannot accelerate past 500 Kph.
In a previous posting:- The situation with the rocket with its internal motor is different. The rocket can be FRR, the ejected mass can be FRE (1 & 2 & 3 & 4 etc). That progression will be explained shortly. The motor is fired up. FRR is accelerated by the force between FRR and FRE to 10 Kph. As the motor is continuously ejecting mass, the next acceleration to FRR comes not from FRE but from FRE1,which was ejected after FRE and is 10 Kph faster than FRE because the rocket was 10 Kph faster when ejecting FRE1, so the rocket is now at 20 Kph. The next acceleration to FRR comes not from FRE1 but from FRE2, whish was ejected after FR1 and is 10 Kph faster than FRE1, so the rocket is now at 30 Kph. The next acceleration to FRR comes not from FRE2 but from FRE3, which was ejected after FR2 and is 10 Kph faster than FRE2, so the rocket is now at 40 Kph. This continues as long as the motor is running. Between FRR and FRE n there is always the same force, and therefore always the same acceleration to +10 Kph. (I should have used n+10 Kph.)
Nope. Not in any way. The reactant is the “hockey stick.” The payload is the “puck.”
You can have five guys in a line, each with his hockey stick, and each gives the puck a slap as it passes, making it move faster with each hit.
The five guys can be moving. They can be moving the same speed as the puck, or slower, or faster. It doesn’t matter. When they hit the puck, it changes speed, and so do they, per Newton’s laws.
Totally mis-leading. You have put when they hit the puck, which is correct, but they cannot always hit it. When the puck is first hit by the stationary player on the ice, it accelerates to 10 Kph (as per my example), because that is the speed of the tip of the hockey stick which contacts the puck. Stick and puck are in contact so the puck also has to be at 10 Kph. It passes the first of the five guys at 10 Kph. If he is stationary WRT the original hitter, when he swings his stick at 10 Kph tip speed, it cannot impart any more acceleration to the puck because the puck is already at that speed. Hockey stick tip speed - 10 Kph, puck speed - 10 Kph, relative speed between stick and puck - 0 Kph: therefore no acceleration. If all five guys are stationary WRT the first, the exact same situation holds - no further acceleration. If the first guy is traveling at the puck’s speed, and he swings his stick at 10 Kph WRT to himself, of course he will accelerate the puck, because the tip of his stick is now at 20 Kph WRT the ice, so the puck will be accelerated to 20 Kph. If the first guy is moving slower than the puck, let’s say 5 Kph, and hits it with his stick which now has a tip speed of 15 Kph WRT the ice, the puck will accelerate to 15 Kph. The next guy is stationary on the ice and swings his stick to hit the puck. The speed of the tip of the stick is 10 Kph, the speed of the puck as it goes past him is 15 Kph. The stick cannot touch the puck, it cannot impart any acceleration to the puck. It cannot affect the puck in any way.
From the hockey player’s point of view, yes, that’s right. From the point of view of the people in the stands at the arena, no, that’s not right. According to relativity, they see the puck speeding up only by 9 kph…then by only 8 kph…then by only 7 kph… etc.
The speed is not accumulative per ordinary laws of addition; at very high speeds, in the relativistic regime, it is accumulative per the Lorenz equations.
And this has been borne out experimentally. This is the thing that is making so many of us here so very frustrated. We aren’t just declaring something ex cathedra. We aren’t making up ideas. These things have been tested, in numerous ways, in optics, in particle physics, in astronomy, and in space-flight. Every test, so far, bears out Einstein’s ideas.
What do you have, in contrast? An intuition…which you have, so far, not been able to translate into proper technical language.
Every test does not bear out Einstein’s ideas The MMX was supposed to prove Einstein. It did not. It cannot distinguish between relativity and an entrained aether. The particle accelerator likewise cannot distinguish between the two. What I have (and it is not mine, by the way, I did not come up with entrained aether or local gravitational field) is not an intuition. It is observation. The relativistic addition of velocities (by the Lorentz equations) does not apply when c is WRT the entrained aether or the local gravitational field. There is then no constraint on the achievable velocity of the rocket, except for friction on the hull. Do not forget that (empty) space is not empty. It is far from a vacuum, there are atoms and molecules out there, and their drag will become significant at very high speed.