A muon is a type of unstable subatomic particle. When high-speedparticles from outer space (sometimes called \"cosmic rays\") collidewith atoms in the upper atmosphere, they can create muons whichtravel toward the Earth. Suppose a muon created in the atmospheretravels at a speed of 0.971c toward the Earth's surface for adistance of 4.13 km, as measured by a stationary observer on Earth,before decaying into other particles.

(a) As measured by the stationary observer on Earth, how muchtime elapses (in s) between the muon's formation until its decay?35.55 Incorrect: Your answer is incorrect. Note that both the givenspeed of the muon and the given distance it travels is measuredwith respect to the Earth. How is the time related to speed anddistance? Be sure to convert the speed to meters per second. s

(b) Find the value of the gamma factor that corresponds to themuon's speed. 4.182 Correct: Your answer is correct.

(c) Now imagine an observer that \"rides along\" with thetraveling muon, moving at the same speed. From this observer'sperspective, how much time elapses (in s) between the muon'sformation until its decay? s

(d) Again from the perspective of the observer traveling alongwith the muon, what distance (in m) does the muon travel, from itsformation to its decay? m

(e) Now imagine a third observer, who is traveling toward themuon at a speed of c 2 , as measured with respect to the Earth. Howdoes the muon's lifetime, as measured by this observer, compare tothe lifetime as measured by the stationary observer on Earth?

- The lifetime measured by the moving observer is the same asthe lifetime measured by the observer on Earth.

- The lifetime measured by the moving observer is shorter thanthe lifetime measured by the observer on Earth.

- Not enough information is known to make a comparison.

- The lifetime measured by the moving observer is longer thanthe lifetime measured by the observer on Earth.