You have a machine that produces a beam of K mesons moving at a speed of0.9938.In your lab, you aim this beam at a target that is132.9maway from your machine. The halflife for K meson decays is12.4ns.

Calculate the time it takes, in the lab frame, for particles to travel from your machine to thetarget.Find the classically expected fraction of particles that would reach the target without havingdecayed.Find the time it takes, in the rest frame of the particles, for a particle to travel from the machine to thetarget.Calculate the relativistically expected fraction of particles that would reach the target withoutdecaying.