- #1
Urmi Roy
- 753
- 1
Hi,
I found a derivation of the forumla for relativistic momentum in Resnick and Halliday,which says that --
Therefore, p= mv= m(dx/dt) (classiscal mechanics) -----eqn(1)
(actually its delta x by delta t but I couldn't find the symbol for delta)
Where dx is the distance traveled a moving particle as viewed by an observer watching the particle.
However, to be in accordance to relativity,it should be--
p=mv' =m(dx/dt') (in relativity) ----eqn (2)
Where dt' is time required to travel a particular distance measured by an observer moving with the particle.
therefore,
p= m(dx dt) /(dt dt') = m[dx*(gamma)]/dt
(gamma is the time dilation factor).
p=mv(gamma)
My question related to this is-
Why are the time and space coordinates taken with respect to different observers?
I found a derivation of the forumla for relativistic momentum in Resnick and Halliday,which says that --
Therefore, p= mv= m(dx/dt) (classiscal mechanics) -----eqn(1)
(actually its delta x by delta t but I couldn't find the symbol for delta)
Where dx is the distance traveled a moving particle as viewed by an observer watching the particle.
However, to be in accordance to relativity,it should be--
p=mv' =m(dx/dt') (in relativity) ----eqn (2)
Where dt' is time required to travel a particular distance measured by an observer moving with the particle.
therefore,
p= m(dx dt) /(dt dt') = m[dx*(gamma)]/dt
(gamma is the time dilation factor).
p=mv(gamma)
My question related to this is-
Why are the time and space coordinates taken with respect to different observers?
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