- #1
carl fischbach
The question I ask is linear momentum conserved in
in instance cited below?
You place a particle at the origin on a x-y axis
and accelerate it to 61% of c in the y direction.
Then you accelerate it to 61% of c in the x direction.
The net velocity of the particle will be
86% of c at 45 degrees.The key here is that it
takes approximately 3 times the energy to
accelerate the particle in the x direction than
the y direction, due to the fact that the net
velocity change in the y direction is 0%-61% of c
and in x direction the net velocity change is
61%-86% of c.If the rate of acceleration,distance
of acceleration and time of acceleration are the
same on the x and y axis, then force of acceleration on
the x-axis has to be greater than
on the y axis, since the energy of acceleration
on the x-axis is 3 times that of the y axis.
Therefore the momentum on the x-axis is greater
the y axis.
If the particle's final velocity is 86% of c at
45 degrees then the momentum of acceleration
should be equal on both the x and y axis.
Is there a discrepancy in momentum here?
in instance cited below?
You place a particle at the origin on a x-y axis
and accelerate it to 61% of c in the y direction.
Then you accelerate it to 61% of c in the x direction.
The net velocity of the particle will be
86% of c at 45 degrees.The key here is that it
takes approximately 3 times the energy to
accelerate the particle in the x direction than
the y direction, due to the fact that the net
velocity change in the y direction is 0%-61% of c
and in x direction the net velocity change is
61%-86% of c.If the rate of acceleration,distance
of acceleration and time of acceleration are the
same on the x and y axis, then force of acceleration on
the x-axis has to be greater than
on the y axis, since the energy of acceleration
on the x-axis is 3 times that of the y axis.
Therefore the momentum on the x-axis is greater
the y axis.
If the particle's final velocity is 86% of c at
45 degrees then the momentum of acceleration
should be equal on both the x and y axis.
Is there a discrepancy in momentum here?