sorry...i meant to put in there that I related the two by...
l= v \Deltat √ 1-v2/c2
Math really kicks my butt...I'm sure I'm missing something really easy!
First I tried to plug in the proper time to find \Deltat
\Deltat = 2.6 x10-8/ √ (1-V2/c2)
Since 2.6 x 10 -8 is the lifetime at rest and I'm trying to find the lifetime observed in the lab...
Then I plugged in l = 25m √1-v2/c2
Since l0, the proper length observed in the lab is 25...
Thanks...that means that I am on the right track. However, I have tried to plug these numbers into the formulas to find the pions speed and I can't get it! I know that 25m is the distance measured in the lab, and I need to find the pion's lifetime in the lab observer's reference frame...
Homework Statement
How fast must a pion be moving on average to travel 25 meters before it decays? The average lifetime, at rest, is 2.6 x 10-8s.
Homework Equations
\Deltat =\Deltat0/ sqrt(1 - v2/ c2)
l = l0 * sqrt (1 - v2/ c2)
The Attempt at a Solution
I think that 2.6 x...
Thanks! I think that's ultimately what I did...I ended up subtracting 1/2mve2 from the initial kinetic energy given to the satellite when it was on the surface of the planet. I just didn't do it very elegantly. Sometimes I have to play around with equations before I know what I want to do!
Homework Statement
So I just finished a physics test and I'm not sure if I approached a question correctly... Our professor gave us the mass of a satellite, and the mass of an imaginary planet and its radius. Then he gave us the amount of initial kinetic energy given to the satellite when...
Homework Statement
can someone please tell me how to integrate 2\pixe^{-4x}
Homework Equations
(the Pi is not supposed to be superscript, don't know why it looks that way)
The Attempt at a Solution