- #1
knowLittle
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Homework Statement
Use:
##\beta =\dfrac {\overline {u}} {c}=\dfrac {\overline {p}c} {E}\&\&E^{2}=\left( pc^{2}\right) +\left( mc^{2}\right) ^{2}##
Homework Equations
The Attempt at a Solution
Solving the second equation for E, I get:
##\left( \dfrac {E u} {c}\right) ^{2}+m^{2}c^{4}>0##
##E^{2}u^{2}>-m^{2}c^{6}##
##\left( p\dfrac {c^{2}} {u}\right) ^{2}u^{2}>-m^{2}c^{6}##
p^2 > -m^2 c^2
##\gamma ^{2}m^{2}v^{2}## > -m^2 c^2
v^2 >-c^2 +v^2
v^2<c^2 -v^2
√2 v<c
v < (c) / √2, and because √2 << c
v<c
Is this correct? I don't think it is, but I cannot think of any other way.
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