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Chapter 37: Q72P (page 1150)

Find the speed parameter of a particle that takes 2.0 y longer than light to travel a distance of 6.0 ly.

Short Answer

Expert verified

The speed of the particle is 0.75c.

Step by step solution

01

Light Year

A light-year is a unit of distance where 1 ly is the distance that light travels in one year.

So it will take 6 years for the light to cover 6 ly distance. And the particle takes 2 years longer than light for the same distance. Hence the total time taken for the particle is 8 years.

02

The speed of the particle

The speed of the particle is

speed=totaldistancetotaltime=6ly8y=6脳9.46脳1015m8脳3.156脳107s=2.25脳108m/s=0.75c

The speed of the particle is 0.75c.

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Most popular questions from this chapter

Continuation of Problem 65. Let reference frame C in Fig. 37-31 move past reference frame D (not shown). (a) Show thatMAD=MABMBCMCD

(b) Now put this general result to work: Three particles move parallel to a single axis on which an observer is stationed. Let plus and minus signs indicate the directions of motion along that axis. Particle A moves past particle B at尾AB=+0.20 . Particle B moves past particle C at 尾BC=鈭�0.40. Particle C moves past observer D at尾CD=+0.60 . What is the velocity of particle A relative to observer D? (The solution technique here is much faster than using Eq. 37-29.)

Question: The mass of an electron is 9.10938188脳10-31kg. To eight significant figures, find the following for the given electron kinetic energy: (a)localid="1663051516359" 纬and (b)尾localid="1663053404383" 尾forK=1.0000000keV, (c)localid="1663051781874">纬and (d)localid="1663051803695" 尾for, K=1.0000000MeVand then (e)localid="1663051835448" 纬and (f)localid="1663051820843" 尾forK=1.0000000GeV.

Question:The mass of a muon is 207 times the electron mass; the average lifetime of muons at rest is 2.20渭s. In a certain experiment, muons moving through a laboratory are measured to have an average lifetime of 6.90渭s. For the moving muons, what are (a) 尾 , (b) K, and (c) p (in MeV/c)?

Question: What must be the momentum of a particle with mass m so that the total energy of the particle is 3.00 times its rest energy?

A spaceship of rest length 130 m races past a timing station at a speed of 0.740c. (a) What is the length of the spaceship as measured by the timing station? (b) What time interval will the station clock record between the passage of the front and back ends of the ship?
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