Determining dilated lifetime of muons.

[amb1989]

The question provides momentum that the muons move with (3094 MeV/c) and proper lifetime (2.198 micro seconds) and asks to find the dilated lifetime.



2. t= t_o/((1-u^2/c^2)^1/2) and p=(mv)/((1-v^2/c^2)^1/2)



3. I think that I am supposed to use the momentum given to back order velocity then use that with the time dilation equation but I'm not sure what units I should use for the mass of the muon. I saw one with kg and one with MeV/c and I feel like I should use MeV/c but I'm not getting the units to work out and I'm just going no where right now. Any help would be nice. Thanks.

 

[kuruman]

If you know γ, can you find the dilated lifetime? What equation relates relativistic momentum to γ? Since you are given the momentum, you can use that equation to find γ and then the dilated lifetime. Forget kilograms. If you use MeV/c units for the momentum and MeV/c² units for the rest mass, the equation will work out fine.

 

[amb1989]

OK thank you very much I'll work that out and see what I come out with.