Answered: The lifetime of a free neutron is 886…

The lifetime of a free neutron is 886 s. If a neutron moves with a speed of 1.00 ✕ 108 m/s relative to an observer in the lab, what does the observer measure the neutron's lifetime to be (in s)?

Inquiry into Physics

8th Edition

ISBN:9781337515863

Author:Ostdiek

Publisher:Ostdiek

Chapter12: Relativity, Particle Physics, And Cosmology

Section: Chapter Questions

Problem 3P: The lifetime of a free neutron is 886 s. If a neutron moves with a speed of m/s relative to an...

See similar textbooks

Related questions

Q: object with a rest mass of 13722.4 MeV/c2 is moving with a B(beta) of 0.496. What is the…

A: Here we use relativistic mechanics

Q: The mass of a muon is 207 times the electron mass; the average lifetime of muons at rest is 2.20 ms.…

A: a)The time dilation equation is given by,

Q: Spaceship A moves away from Earth at a speed of 0.800c (Fig. P26.19). Spaceship B pursues at a speed…

A: the velocity of the spaceship B relative to Earth is 0.900c. the velocity of the spaceship a…

Q: Electromagnetic radiation from a star is observed with an earth-based The star is moving away from…

A: The Doppler effect is the change in the observed frequency of an electromagnetic wave due to…

Q: 2. particle has a momentum of 400 MeV/c and kinetic energy of 100 MeV. Determine its mass in MeV/c2,…

Q: Find the proper lifetime of that particle: to= .000000000381 X s.

Q: A particle was made to accelerate to a speed of 0.7c inside a particle accelerator. The mass of the…

A: Given: The speed of the particle is 0.7c. The mass of the particle is 1.67x10-27 kg.

Q: 1. An object measures 70 m in length, mass 3.5 kg when it is at rest. It travels with a spacecraft…

A: We are suppose to do only first three subpart from multipart question. Please Post it again…

Q: The particle accelerator at Stanford University is three kilometers long and accelerates electrons…

A: The particle accelerator at Stanford University is three kilometers long andaccelerates electrons to…

Q: 1. An electron, which has a mass of 8.45 x 10-31 kg, moves with a speed of 0.45c. Find its…

A: Please note : As per answering guidelines I can answer the first question only. please repost the…

Q: An unstable high-energy particle enters a detector and leaves a track of length 1.05 mm before it…

Q: The mass of the fuel in a nuclear reactor decreases by an observable amount as it puts out energy.…

A: Introduction: A nuclear power plant uses the process of nuclear fission to generate electricity.

Q: dentify the knowns, unknown(s), appropriate formula(s) then computation What is the speed of a…

A: Let the velocity be v , then relativistic kinetic energy = mc2(11-v2c2-1) and rest energy = mc2 ,…

Q: 7. If the observed radiation of an atom moving toward you has a frequency of 10.2 x 1014 Hz, at what…

Q: 6. (i) The lifetime of a particle in its own frame of reference is 25.0 ns. (This is its proper…

A: Given data: i) Proper lifetime, ∆t'=26.0 ns Speed of the particle, v=0.95c ii) Length of the rod is…

Q: A neutron (mass = 1.67 x 10^-27 kg) has a kinetic energy of 2000 MeV a) Calculate the rest energy of…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: A spaceship goes past a planet at a speed of 0.80c relative to the planet. An observer on the planet…

Q: An interstellar space probe is launched from Earth. After a brief period of acceleration, it moves…

A: The expression of time for the given case where the batteries on the space probe last as measured by…

Q: A car roles off the assembly line with a mass of 2000kg. A very special rocket booster, with mass…

Q: Consider the inelastic collision. Two lumps of matter are moving directly toward each other. Each…

Q: . A cheetah weighing 375 N chases a gazelle at a speed of 34.9 m/s.

A: A.Mass of pion:mπ=140 MeV/c2=140×106×1.6×10-19(3×108)2=2.49×10-28 kgSpeed, v=9.81×103 km/s=9.81×106…

Q: 4- Consider electrons accelerated to energy of 20.0 GeV in the 3.00-km-long Stanford Linear…

A: According to question we need to find--- (a) What is the y factor for the electrons? (b) What is…

Q: Explain the temperature of gas with relativistic velocity?

A: Gas moves with relativistic speed. The overall speed of particles in the gas will be not the same as…

Q: The lifetime of a certain type of elementary particle is 1.7 ✕ 10−8 s. If this particle were…

A: It is given that,

Q: A new particle, the aarnion, has just been discovered! Careful measurements show that the aarnion…

Q: Electromagnetic radiation from a star is observed with an earth-based telescope. The star is moving…

A: Option A is correct 4.39×1014Hz

Q: An electron, which has a mass of 8.45 x 10-31 kg, moves with a speed of 0.45c. Find its relativistic…

Q: An electron has a velocity v= 0.990c. (a) Calculate the kinetic energy in MeV of the electron. (b)…

Q: Two electrons are travelling in the same elections with total energies of 1.0 MeV and 2.0 MeV as…

Q: A muon formed high in the Earth's atmosphere travels at a speed 0.870 c for a distance of 4.00 km…

Q: An electron has a velocity v = 0.990c . (a) Calculate the kinetic energy in MeV of the electron. (b)…

Q: The measured mean lifetime of an elementary particle when it is at rest in the lab is measured to be…

Q: A particle X with mass of mx = 1950m, is moving at speed of v = 0.950c along the x-axis in…

A: mx = 1950 mev = 0.95 c t = 3.14 μs

Q: What must be the speed of an electron for its relativistic kinetic energy to be equal to its rest…

A: In the given question, We have to discuss about the speed of an electron for its relativistic…

Q: The muon is an unstable particle that spontaneously decays into an electron and two neutrinos. In a…

A: a) The equation to determine the life time of the moving muon is,

Q: The half‑life, at rest, of a positive pion is 1.80×10−8 s. With what speed V must a positive pion…

Concept explainers

Relativistic Energy and Momentum

According to classical physics, time flow is the same for every observer. But according to einstein's theory, time flow is different for different observers. The idea that time flow is not the same for all may sound strange because we may not experience this effect in everyday life. This effect is only observed when an object moves with some velocity comparable to the velocity of light. This velocity is termed relativistic velocity.

Question

3.) The lifetime of a free neutron is 886 s. If a neutron moves with a speed of 1.00 ✕ 108 m/s relative to an observer in the lab, what does the observer measure the neutron's lifetime to be (in s)?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

(a) Beta decay is nuclear decay in which an electron is emitted. If the electron is given 0.750 MeV of kinetic energy, what is its velocity? (b) Comment on how the high velocity is consistent with the kinetic energy as it compares to the rest mass energy of the electron.
How fast would a muon have to be traveling relative to an observer for its lifetime as measured by this observer to be 10 times longer than its lifetime when at rest relative to the observer?
Plans for ail accelerator that produces a secondary beam of K mesons to scatter from nuclei, for the purpose of studying the strong force, call for them to have a kinetic energy of 500 MeV. (a) What would the relativistic quantity =11v2/c2be for these particles? (b) How long would their average lifetime be in the laboratory? (c) How far could they travel in this time?
The mass of the fuel in a nuclear reactor decreases by an observable amount as it puts out energy. Is the same true for the coal and oxygen combined in a conventional power plant? If so, is this observable in practice for the coal and oxygen? Explain.
What is the rest energy of an electron, given its mass is 9.111031 kg? Give your answer in joules and MeV.
One cosmic ray neutron has a velocity of 0.250c relative to the Earth. (a) What is the neutron's total energy in MeV? (b) Find its momentum. (c) Is Epc in this situation? Discuss in terms of the equation given in part (a) of the previous problem.
. If the relativistic kinetic energy of a particle is 9 times its rest energy, at what fraction of the speed of light must the particle be traveling?
If relativistic effects are to be less than 1%, then must be less than 1.01. At what relative velocity is
A muon formed high in Earth's atmosphere travels toward Earth at a speed v = 0.990c for a distance of 4.60 km as measured by an observer at rest with respect to Earth. It then decays into an electron, a neutrino, and an antineutrino. (a) How long does the muon survive according to an observer at rest on Earth? (b) Compute the gamma factor associated with the muon. (c) How much time passes according to an observer traveling with the muon? (d) What distance does the muon travel according to an observer traveling with the muon? (e) A third observer traveling toward the muon at c/2 measures the lifetime of the particle. According to this observer, is the muons lifetime shorter or longer than the lifetime measured by the observer at rest with respect to Earth? Explain.
A spacecraft built in the shape of a sphere moves past an observer on the Earth with a speed of 0.500c. What shape does the observer measure for the spacecraft as it goes by? (a) a sphere (b) a cigar shape, elongated along the direction of motion (c) a round pillow shape, flattened along the direction of motion (d) a conical shape, pointing in the direction of motion
An unstable particle with a mass equal to 3.34 1027 kg is initially at rest. The particle decay's into two fragments that fly off with velocities of 0.987c and 0.868c, respectively. Find the masses of the fragments. Hint: Conserve both mass-energy and momentum.
A muon formed high in Earth's atmosphere travels toward Earth at a speed v = 0.990c for a distance of 4.60 km as measured by an observer at rest with respect to Earth. It then decays into an electron, a neutrino, and an antineutrino. (a) How long does the muon survive according to an observer at rest on Earth? (b) Compute the gamma factor associated with the muon. (c) How much time passes according to an observer traveling with the muon? (d) What distance does the muon travel according to an observer traveling with the muon? (e) A third observer traveling toward the muon at c/2 measures the lifetime of the particle. According to this observer, is the muons lifetime shorter or longer than the lifetime measured by the observer at rest with respect to Earth? Explain.