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oddjobmj
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Homework Statement
An Ω- particle has rest energy 1672 MeV and mean lifetime 8.2*1011 s. It is created and decays in a particle track detector and leaves a track 24 mm long. What is the total energy of the particle?
Homework Equations
E=[itex]\frac{mc^2}{\sqrt{1-(\frac{v}{c})^2}}[/itex]
t=t0[itex]\sqrt{1-(\frac{v}{c})^2}[/itex]
Rest E=mc2
The Attempt at a Solution
Because Rest E=mc2 I know that:
E=[itex]\frac{1672 MeV}{\sqrt{1-(\frac{v}{c})^2}}[/itex]
What I need to do now is solve for v using the given time and distance (.024 meters). The time is measured in the particle's proper frame so:
t=(8.2*1011 seconds)[itex]\sqrt{1-(\frac{v}{c})^2}[/itex]
Of course, this contains v itself. What am I missing?
Thank you!