Question

A pion is an unstable particle that has an average lifetime of 2.55 × 10^-8 s. This is the time interval between its creation in a nuclear process and its extinction into decay products, as measured in a frame of reference at rest with respect to the pion. An "average" pion is traveling at 0.230c relative to Earth. How far does it travel in its lifetime, relative to Earth?

Answer 1

The distance travel in its lifetime of earth is

`x=1.7595m`

Step-by-step explanation:

Change respecto the pion

The speed of the pion:

Knowing the speed of the light is about

`v_l=3x10^(8)`

`v_p=3x10^(8)*0.23c=69x10^6`

Now to determinate the distance

`v=(x)/(t_p)`

`x=v*t=69x10^6m/s*2.55x10^(-8)s`

`x=1.7595m`