# Homework Help: Calculating the velocity of muons as they leave an accelerator. (Info is given)

1. Jul 7, 2012

### Pinchy444

Please refer to the link below for the problem statement and known data.

http://imgur.com/1CQPk

Calculate the velocity of the muons as they leave the accelerator.

From my understanding, I must manipulate the Time Dilation equation in such a way so as to make velocity 'v' the subject of the equation. So far I haven't been able to manipulate and can't think of any other methods I can use to find the muons velocity. (Im assuming its value is close the the speed of light

Please note, Unfortunately I do not have answers, just marking guidelines which don't help me at all. Any help will be appreciated.

Last edited: Jul 7, 2012
2. Jul 7, 2012

### cryora

Δt = 1/√(1-v^2/c^2) * Δt_p

When v = 0, Δt = Δt_p = 2.2 μs

When the muon is moving, Δt = 5.0 μs, v is unknown, Δt_p = 2.2 μs.

You should be able to algebraically solve for v and plug in the values.

3. Jul 7, 2012

### Staff: Mentor

Show what you've done so far and where you are stuck.

4. Jul 7, 2012

### Pinchy444

Thanks Cryora, much appreciated ! :D