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John SpaceY
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- TL;DR Summary
- If an object goes very fast, and if we want to make it go faster, do we need more and more energy to accelerate it or less and less?
Hello,
I consider to be in a relativistic area, where an object is moving very fast, seen from our Earth, at a speed v where v is less than the speed of light c.
I have considered the following equations (relativity equations) :
T = β * t
M = β * m
L = l / β
β = 1 / (√(1 – v2/c2) )
v = (l / T) = (L / t)
M, T and L are parameters seen from our Earth.
These parameters become m, t and l in a Spacecraft reference for example.
If I consider that an object is moving at a speed v seen from the Earth
and has a mass m at rest, when we go in the relativistic area (where v is near to c so when Beta becomes higher than 1), the object mass becomes M.
And this mass M is increasing when v is increasing. When v tends to c, Beta tends towards infinity and so M tends to infinity.
Current physics consider that if we want to continue to increase v (and being always less than c), as M becomes infinite, an infinite force should be needed and so the energy needed to continue to increase v should be higher and higher. And the more v is near of c, the more energy is needed in order to continue to increase v, because M is increasing.
I have another way of thinking ant it is on this point that I have my question:
For me, in the relativistic area, M tends towards infinity when v tends to c, but not only M is changing !
If we consider that we want to increase v when v is closed to c, on a distance L and during a time dT, an energy W should be needed :
W = M . Gamma . L
with Gamma = dv / dT
and so. W = M . dv/dT . L
I consider all the parameters seen from our Earth and so it is M, L and T and not m, l and t
When v tends to c these parameters are changing, according to the above equations :
M is changing like Beta : see equation (2)
dv tends towards 0 because v tends to c and as c is the maxi speed, dv tends to 0, and dT is changing like Beta (see equation (1))
and so dv/dT tends towards 0 when v tends towards c, because Beta tends to infinity.
And L is changing like 1/Beta : see equation (3). And this will cancel the evolution of M…
And if I consider W, for me this energy with change as
Beta x zero x 1/ Beta when v tends towards c
And so W will tend towards 0 when v tends towards c.
I come here to the reverse conclusion : when v tends towards c, less and less energy is needed to continue to increase v.
I would like to know if my last way of thinking is the good one. And if not where is the mistake ?
Because the current physics is considering that more and more energy will be needed to continue to increase v when v tends to c…
But is my reasoning correct?
If an object goes very fast, and if we want to make it go faster, do we need more and more energy to accelerate it or less and less?
If the object is in a vacuum we consider its mass as zero and therefore to accelerate it there is not a need for a lot of energy: is that correct ?
On the other hand, if the object is on our Earth, what is the answer?
does it take a lot of energy or not a lot to continue increasing speed?
(for example in a particle accelerator at CERN or ...)
I thank you very much in advance for your answers
Best regards
John
I consider to be in a relativistic area, where an object is moving very fast, seen from our Earth, at a speed v where v is less than the speed of light c.
I have considered the following equations (relativity equations) :
T = β * t
M = β * m
L = l / β
β = 1 / (√(1 – v2/c2) )
v = (l / T) = (L / t)
M, T and L are parameters seen from our Earth.
These parameters become m, t and l in a Spacecraft reference for example.
If I consider that an object is moving at a speed v seen from the Earth
and has a mass m at rest, when we go in the relativistic area (where v is near to c so when Beta becomes higher than 1), the object mass becomes M.
And this mass M is increasing when v is increasing. When v tends to c, Beta tends towards infinity and so M tends to infinity.
Current physics consider that if we want to continue to increase v (and being always less than c), as M becomes infinite, an infinite force should be needed and so the energy needed to continue to increase v should be higher and higher. And the more v is near of c, the more energy is needed in order to continue to increase v, because M is increasing.
I have another way of thinking ant it is on this point that I have my question:
For me, in the relativistic area, M tends towards infinity when v tends to c, but not only M is changing !
If we consider that we want to increase v when v is closed to c, on a distance L and during a time dT, an energy W should be needed :
W = M . Gamma . L
with Gamma = dv / dT
and so. W = M . dv/dT . L
I consider all the parameters seen from our Earth and so it is M, L and T and not m, l and t
When v tends to c these parameters are changing, according to the above equations :
M is changing like Beta : see equation (2)
dv tends towards 0 because v tends to c and as c is the maxi speed, dv tends to 0, and dT is changing like Beta (see equation (1))
and so dv/dT tends towards 0 when v tends towards c, because Beta tends to infinity.
And L is changing like 1/Beta : see equation (3). And this will cancel the evolution of M…
And if I consider W, for me this energy with change as
Beta x zero x 1/ Beta when v tends towards c
And so W will tend towards 0 when v tends towards c.
I come here to the reverse conclusion : when v tends towards c, less and less energy is needed to continue to increase v.
I would like to know if my last way of thinking is the good one. And if not where is the mistake ?
Because the current physics is considering that more and more energy will be needed to continue to increase v when v tends to c…
But is my reasoning correct?
If an object goes very fast, and if we want to make it go faster, do we need more and more energy to accelerate it or less and less?
If the object is in a vacuum we consider its mass as zero and therefore to accelerate it there is not a need for a lot of energy: is that correct ?
On the other hand, if the object is on our Earth, what is the answer?
does it take a lot of energy or not a lot to continue increasing speed?
(for example in a particle accelerator at CERN or ...)
I thank you very much in advance for your answers
Best regards
John