1. It seems that i have to concede regarding the claim that there would be the difference in length of Michael Powell long jumps (on a moving train vs on the ground) assuming that in both scenarios he would run with
the same relative speed.
2. However, i am not so sure that Michael Powell (who became (for us who participate in this thread) a synonym for any fast runner/jumper) wouldn't be able to use motion of a
slowly moving train (when running in counter direction of train's motion) so that his relative speed on a moving train becomes greater than the relative speed on the ground (when he is running
at his maximum speed in both scenarios).
This is a short excerpt from one very recent (although expressly deleted) discussion between few physic nerds and me on one physic's forum :
FranzDiCoccio says :
I think that your initial hypothesis that running is different from walking does not make sense.
What would happen if you jumped up and down on the train? You would loose contact with the train floor roughly for the same amount of time as when you take a "running step". Would that change your velocity relative to the train (which is zero)? The answer is no.
Why would it change if it's not zero, then?
I did not check your maths, but its correctness has nothing to do with the cause of motion. The velocity of the guy composes according to Galilean relativity whether he's running, walking, crawling or moonwalking. The only thing that matters is the velocity of the guy relative to the train, and the velocity of the train itself.
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cikljamas replied :
"The only thing that matters is the velocity of the guy relative to the train, and the velocity of the train itself."Maybe we should reformulate my question :
If our runner flies 30 km/h above the moving train which travels 3 km/h what would happen (how much time would it take for him to fly across 100 m length of a moving train) :
A) After flying in counter direction of train's motion 30 km/h
B) After flying in the same direction of train's motion 30 km/h
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"The mode of motion of the guy (flying, crawling or walking) would not matter. The only thing that matters is the frame of reference. If his velocity is measured in the train frame of reference
A) he moves at 33 km/h towards the back of the train
B) he moves at 27 km/h towards the head of the train"We are not interested about someone who is standing on the platform.
Yes, if his velocity is measured in the train frame of reference
A) he moves at 33 km/h towards the back of the train
B) he moves at 27 km/h towards the head of the train
I agree with you!
Does Galileo agree with two of us?
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You see my point : if our runner could achieve similar (wrt flying) motion (which property of running should provide for our experiment) then we should expect harnessing train's motion (in counter direction) in such a way that the relative velocity of our runner would become the sum of train's motion and his own motion (in counter direction of train's motion) and vice versa (when he is running in the same direction of train's motion).
3. I've just uploaded one illustrative (for the issue with which we are dealing here) video, feel free to watch it :
RUNNING ON A MOVING TRAIN XXX :
Few excerpts taken out from the video :
According to Newton's 1st law of motion this jump would be the same
(regarding the jump-length) no matter if the earth is in motion or not,
regardless of the direction of biker's motion (west, east, north, south).
I could agree that there would be no difference regarding the lenght of the
jump (regardless of the frame of reference), but would everything else
be the same (on a spinning earth) no matter in which direction our biker goes?
odiupicku
3 months ago
Have you maybe noticed how it took you less time to get across one single car (waggon) when you ran in counter direction of train's motion vs when running in the same direction of train's motion? Thanks in advance!?
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Urban explorer
3 months ago
Yes I did notice this! it also took far more energy/effort to go against the train, Also a lot harder to try not fall going against it. No problem, Thanks for stopping by my channel!?
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Shouldn't we expect the same kind of problems
if we lived on the spinning earth???
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How even far more energy it would take him if he
tried to go perpendicularly to train's motion???
How even lot harder would it be to try not fall going perpendicularly to train's motion?
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On a spinning earth if he took off vertically (like an airplane
when making loop maneuver, for example) few hundred meters
high, our biker would be able to notice how the earth slips
below him (while he is restoring his "initial momentum")....
THE EARTH NO AXIAL OR ORBITAL MOTION.
IF a ball is allowed to drop from the mast-head of a ship at rest, it will strike the deck at the foot of the mast. If the same experiment is tried with a ship in motion, the same result will follow; because, in the latter case, the ball is acted upon simultaneously by two forces at right angles to each other--one, the momentum given to it by the moving ship in the direction of its own motion; and the other, the force of gravity, the direction of which is at right angles to that of the momentum. The ball being acted upon by the two forces together, will not go in the direction of either, but will take a diagonal course, as shown in the following diagram, fig. 46.
The ball passing from A to C, by the force of gravity, and having, at the moment of its liberation, received a momentum . from the moving ship in the direction A, B, will, by the conjoint action of the two forces A, B, and A, C, take the direction A, D, falling at D, just as it would have fallen at C, had the vessel remained at rest.
It is argued by those who hold that the earth is a revolving globe, that if a ball is dropped from the mouth of a deep mine, it reaches the bottom in an apparently vertical direction, the same as it would if the earth were motionless. In the same way, and from the same cause, it is said that a ball allowed to drop from the top of a tower, will fall at the base. Admitting the fact that a ball dropped down a mine, or let fall from a high tower, reaches the bottom in a direction parallel to the side of either, it does not follow therefrom that the earth moves. It only follows that the earth might move, and yet allow of such a result. It is certain that such a result would occur on a stationary earth; and it is mathematically demonstrable that it would also occur on a revolving earth; but the question of motion or non-motion--of which is the fact it does not decide. It gives no proof that the ball falls in a vertical or in a diagonal direction. Hence, it is logically valueless. We must begin the enquiry with an experiment which does not involve a supposition or an ambiguity, but which will decide whether motion does actually or actually does not exist. It is certain, then, that the path of a ball, dropped from the mast-head of a stationary ship will be vertical. It is also certain that, dropped down a deep mine, or from the top of a high
tower, upon a stationary earth, it would be vertical. It is equally certain that, dropped from the mast-head of a moving ship, it would be diagonal; so also upon a moving earth it would be diagonal. And as a matter of necessity, that which follows in one case would follow in every other case, if, in each, the conditions were the same. Now let the experiment shown in fig. 46 be modified in the following way:--
Let the ball be thrown upwards from the mast-head of a stationary ship, and it will fall back to the mast-head, and pass downwards to the foot of the mast. The same result would follow if the ball were thrown upwards from the mouth of a mine, or the top of a tower, on a stationary earth. Now put the ship in motion, and let the ball be thrown upwards. It will, as in the first instance, partake of the two motions--the upward or vertical, A, C, and the horizontal, A, B, as shown in fig. 47; but
because the two motions act conjointly, the ball will take the diagonal direction, A, D. By the time the ball has arrived at
[paragraph continues] D, the ship will have reached the position, 13; and now, as the two forces will have been expended, the ball will begin to fall, by the force of gravity alone, in the vertical direction, D, B, H; but during its fall towards H, the ship will have passed on to the position S, leaving the ball at H, a given distance behind it.
The same result will be observed on throwing a ball upwards from a railway carriage, when in rapid motion, as shown in the following diagram, fig. 48. While the carriage or tender passes
from A to B, the ball thrown upwards, from A towards (2, will reach the position D; but during the time of its fall from D to B, the carriage will have advanced to S, leaving the ball behind at B, as in the case of the ship in the last experiment.
The same phenomenon would be observed in a circus, during the performance of a juggler on horseback, were it not that the balls employed are thrown more or less forward, according to the rapidity of the horse's motion. The juggler standing in the ring, on the solid ground, throws his balls as vertically as he can, and they return to his hand; but when on the back of a rapidly-moving horse, he should throw the balls vertically, before they fell
back to his hands, the horse would have taken him in advance, and the whole would drop to the ground behind him. It is the same in leaping from the back of a horse in motion. The performer must throw himself to a certain degree forward. If he jumps directly upwards, the horse will go from under him, and he would fall behind.
Thus it is demonstrable that, in all cases where a ball is thrown upwards from an object moving at right angles to its path, that ball will come down to a place behind the point from which it was thrown; and the distance at which it falls behind depends upon the time the ball has been in the air. As this is the result in every instance where the experiment is carefully and specially performed, the same would follow if a ball were discharged from any point upon a revolving earth. The causes or conditions operating being the same, the same effect would necessarily follow.