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birulami
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Did I understand correctly that relativistic momentum is
where [itex]\gamma = c/\sqrt{c^2-v^2}[/itex] and [itex]c[/itex] is the speed of light? For the fun of it I wrote down the time derivative and got
with [itex]a(t) = d v(t)/dt[/itex]. Yet I cannot find the funny exponent of 3 of a [itex]\gamma[/itex] anywhere in a book. Am I missing a trivial transformation of [itex]\gamma^3 a[/itex] into a better known form? Or is it that the time derivative of relativistic momentum is not an important concept, which is why I did not come across this formula before?
Additional question: is [itex]p[/itex] as define above is a conserved quantity?
Harald.
[tex]p(t) = m\cdot\gamma(t)\cdot v(t)[/tex],
where [itex]\gamma = c/\sqrt{c^2-v^2}[/itex] and [itex]c[/itex] is the speed of light? For the fun of it I wrote down the time derivative and got
[tex]{d\over dt}p(t) = \gamma^3(t)\cdot a(t)[/tex]
with [itex]a(t) = d v(t)/dt[/itex]. Yet I cannot find the funny exponent of 3 of a [itex]\gamma[/itex] anywhere in a book. Am I missing a trivial transformation of [itex]\gamma^3 a[/itex] into a better known form? Or is it that the time derivative of relativistic momentum is not an important concept, which is why I did not come across this formula before?
Additional question: is [itex]p[/itex] as define above is a conserved quantity?
Harald.
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