Particle question

1. Oct 2, 2005

asdf1

can someone help with this question?

A certain particle has a lifetime of 1*10^(-7) sec when measured at rest. How far does it go before decaying if its speed is 0.99c when it is created?

2. Oct 2, 2005

H_man

Well... I'd start this problem by putting it into the Lorentz formula and seeing the amount of time it would take for it to decay as observed by a stationary observer.

I'd then multiply this time with the speed at which it is travelling.

3. Oct 3, 2005

asdf1

@@a
why'd you use the lorentz formula?

4. Oct 3, 2005

El Hombre Invisible

He means the time dilation application of the Lorentz transformation. The particle still decays at the same rate in its own reference frame, but in an observer's frame in which it is travelling at 0.99c, this time interval is dilated: T' = T/root(1 - (v/c)^2).