Answered: If the mean proper life-time of…

If the mean proper life-time of particles is 2.2 x 106 s, the average distance would they travel in vacuum before decaying in the reference frame in which its velocity is measured as 0.6c is

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter39: Relativity

Section: Chapter Questions

Problem 39PQ: As measured in a laboratory reference frame, a linear accelerator ejects a proton with a speed of...

See similar textbooks

Related questions

Q: A spacecraft is launched from the surface of the Earth with a velocity of 0.600c at an angle of…

A: Given: The velocity v1 = 0.6c, The velocity v2 = 0.7c, Angle of velocity v1 with x axis = 50.0

Q: A spaceship is observed from the Earth to be moving toward a star at a speed of 0.80 c. If the…

Q: A muon has a lifetime 2.2 microseconds in its own rest frame. In a frame of reference where the muon…

Q: A neutral K meson at rest decays into two t mesons, which travel in opposite directions along the x…

Q: A particle of the rest energy (0.624 GeV) moves with respect to the laboratory at speed u=0.8 c. the…

Q: The average lifetime of a pi meson in its own frame of reference (i.e., the proper lifetime) is 2.6…

A: (a)The mean life time as measured by the observer on earth can be given as

Q: A neutral -meson is a particle that can be created by accelerator beams. If one such particle lives…

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

A: (a). the life time of moving muon is

Q: Two neutron stars are separated by a distance of 1.0 x 1011 m. They each have a mass o are initially…

A: Given:- The separation distance between the two neutron stars r= 1.0 x 1011 m They have a mass m =…

Q: The origins of two frames coincide at t = t' 0 and the relative speed is 0.991c. Two micrometeorites…

A: t=277μS x=83500 m

Q: A subatomic particle muon travels at constant velocity 0.9c and lives 1.2us as measured in the…

Q: Otávio and Diana are at rest in the frame S', which moves at 0.600c in

A: Yes

Q: The origins of two frames coincide at t = t' = 0 and the relative speed is 0.993c. Two…

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

Q: Two particles are created in a high-energy accelerator and move off in opposite directions. The…

A: The velocity of the first particle in the laboratory framev1=0.580 c The velocity of the second…

Q: A spacecraft with the shape of a sphere of diameter D moves past an observer on Earth with a speed…

A: The length of the object contacted in the direction of its motion.The contracted length is

Q: A spacecraft is measured to be 250.00 m long while it is at rest with respect to earth-based…

A: GivenLength of spaceship at rest with respect to observer, Lo=250 mSpeed of spaceship, v=0.8 c

Q: Our spacecraft is passing the Earth at a speed of 0.9c. Then after traveling for 10 years, we make a…

Q: An unstable particle with a mass equal to 3.34 x 10-27 kg is initially at rest. The particle decays…

A: Apply energy conservation on the paticles, that the rest energy of the particle equals the energy of…

Q: A muon has a lifetime 2.2 microseconds in its own rest frame. In a frame of reference where the muon…

A: Write a given values of this question. Muon lifetime. τ∘=2.2 microseconds Velocity of muon. v=0.6c

Q: A particle is traveling through the Earth’s atmosphere at a speed of 0.750c . To an Earth-bound…

A: Given: Lo = 2.5 km v = 0.750 c

Q: A supertrain of proper length 1.00 X 102 m travels at a speed of 0.95c as it passes through a tunnel…

A: Formula to calculate the contacted length of the train measured by the track side observer is,

Q: Suppose an astronaut is moving relative to the Earth at a significant fraction of the speed of…

A: The astronaut is moving relative to the earth. So, the earth is also moving relative to the…

Q: Two neutron stars are separated by a distance of 1.0 * 10^10 m. They each have a mass of 1.0 * 10^30…

Q: In an Earth reference frame, a star is 49 light-yearsaway. How fast would you have to travel so that…

A: If particle or an object travel at relativistic speed its length contraction occurs. Formula of…

Q: An experimenter has studied the decay of a K° particle in which it emits a pion at 0.8c. One such K°…

Q: An object moving with velocity u's 0.6c in a frame that is itself moving at v =0.8c. The yelocity of…

Q: An alien spacecraft moving with the speed of 0.30c with respect to Earth, fires photon torpedoes…

A: Given: Alien spacecraft speed, v = 0.30c Speed of the photon torpedo with respect to the spaceship,…

Q: A ground observer made a measurement on a wooden box and the length was found to be 2.3 m. At what…

Q: A spacecraft has a speed of 0.4c relative to Earth. As measured on Earth, the elapsed time between…

Q: As measured from the Earth, a spacecraft is moving at speed 0.80 c when it releases a probe at speed…

Q: I need the answer as soon as possible

A: Velocity of an object is defined as the speed with which it changes its position with surrounding…

Q: Suppose a celestial body is moving away from the Earth at a speed of 0.325c. It emits radio waves…

Q: A spaceship, 180 m long as seen on board, moved by the earth at 0.980c. What is it's length in m as…

A: Given data: Original Length (L0) = 180 m Speed (v) = 0.980 c Required: The length of spaceship…

Q: If the mean proper life-time of particles is 2.2 x 104 s, the average distance would they travel in…

A: Write the given values with the suitable variables. τ=2.2×10-6 sv=0.6c Here, τ and v are the mean…

Q: In a nuclear reaction two identical particles are created,traveling in opposite directions. If the…

A: Given Data: The speed of the first particle is, u = -0.82c. The speed of the second particle is, v…

Q: If the mean proper life-time of particles is 2.2 x 10-6 s, the average distance would they travel in…

Q: A particle is traveling through the Earth’s atmosphere at a speed of 0.119c . To an Earth-bound…

Question

If the mean proper life-time of particles is 2.2 x 106 s, the average distance would they travel
in vacuum before decaying in the reference frame in which its velocity is measured as 0.6c is

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

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

The average lifetime of a pi meson in its own frame of reference is 2.6 × 10−8 s. If the meson moves with a speed of 0.95c, what is (a) its mean lifetime as measured by an observer on Earth and (b) the average distance it travels before decaying, as measured by an observer on Earth?
A muon has a rest mass energy of 105.7 MeV, and it decays into an electron and a massless particle. (a) If all the lost mass is converted into the electron's kinetic energy, find for the electron. (b) What is the electron's velocity?
Two astronomical events are observed to occur at a time of 0.30 s apart and a distance separation of 2.0109m from each other. How fast must a spacecraft travel from the site of one event toward the other to make the events occur at the same time when measured in the frame of reference of the spacecraft?
A yet-to-be-built spacecraft starts from Earth moving at constant speed to the yet-to-be-discovered planet Retah, which is 20 lighthours away from Earth. It takes 25 h (according to an Earth observer) for a spacecraft to reach this planet. Assuming that the clocks are synchronized at the beginning of the journey, compare the time elapsed in the spacecraft’s frame for this one-way journey with the time elapsed as measured by an Earth-based clock.
If the ship moves past the observer at 0.01000c, what length will the observer measure?
If two spaceships are heading directly toward each other at 0.800c, at what speed must a canister be shot from the first ship to approach the other at 0.999c as seen by the second ship?
An observer sees two events 1.5108s apart at a separation of 800 m. How fast must a second observer be moving relative to the first to see the two events occur simultaneously?
A spacecraft moves at a speed of 0.900c. If its length is L as measured by an observer on the spacecraft, what is the length measured by a ground observer?
When a missile is shot from one spaceship toward another, it leaves the first at 0.950c and approaches the other at 0.750c. What is the relative velocity of the two ships?
At what speed does a clock move if it is measured to run at a rate one-half the rate of a clock at rest with respect to an observer?
An astronaut at rest on Earth has a heartbeat rate of 70 beats/min. What will this rate be when she is traveling in a spaceship at 0.90c as measured (a) by an observer also in the ship and (b) by an observer at rest on the Earth?
As measured in a laboratory reference frame, a linear accelerator ejects a proton with a speed of 0.780c. Moments later, a muon is ejected at a speed of 0.920c as measured in the laboratory reference frame. What is the speed of the proton in a reference frame where the velocity of the muon is zero?