An unstable particle of mass m decays in time t = 10^-10 s in its own rest frame. If its energy is E = 1000 mc^2 in the lab, how far (in meters) will it move before decaying?
(Answer: 30 m)
An unstable particle of mass m decays in time t = 10^-10 s in its own...
A particle of mass M decays into a photon and a particle of mass m < M. What is the energy of the particle of mass m in the rest frame of the decaying particle?
A subatomic particle has a 410 ns lifetime in its own rest frame. If it moves through the lab at 0.980 c, how far does it travel before decaying, as measured in the lab?
- An unstable particle with a mass equal to 3.34 ✕ 10−27 kg is initially at rest. The particle decays into two fragments that fly off with velocities of 0.981c and −0.861c, respectively. Find the masses of the fragments. (Hint: Conserve both mass–energy and momentum.) m(0.981c) = kg m(-0.861c) = kg - An unstable particle at rest breaks up into two fragments of unequal mass. The mass of the lighter fragment is equal to 2.30 ✕ 10−28 kg and that...
2) A particle of mass m at rest in the Home frame decays into two particles of mass that move apart in opposite directions at the same speed. Let event A be the detection of one of the particles at a distance of 10 m from the original particle, and event B be the detection of the second particle at a distance of 20 m from the original particle. a) What is the speed of each of the decay particles,...
5. A particle with a ‘proper’ lifetime (i. e. in its own rest frame) of 885. s is traveling towards earth with a speed of v=0.5 c. a. In its own rest frame, how far this particle travel, in m, during one lifetime (885 s)? b. In the earth’s rest frame, how far does the particle travel in 885 s?
Suppose a relativistic particle A with speed v relative to frame S decays into 2 particles B and C. One of these particles is found to be at rest in frame S. The rest masses of A, B and Care ma, me and mc respectively. (a) Expressing your answer in terms of ma, me and mc (and the speed of light c), what is the kinetic energy of the particle A? (b) Expressing your answer in terms of ma, me...
A pion is an unstable particle that has a mean lifetime of 2.55 x 10^-8 s. Thi si the time interval between its creation in a nuclear process and its extinction into decay products, as measured in a frame of reference at rest with respect to the pion. An average pion is traveling at 0.230 c relative to Earth. How far does it travel in its lifetime, relative to Earth?
A team discovered an m-mass tetron, an 8-quark particle decaying into four identical muons in a symmetrical tetrahedral pattern. The tetron is stationary until it decays. The four daughter muons carry the same total energy and have a resting mass of 0.149M 1). M, determine the magnitude of the energy E and the momentum p0 meson. Conservation laws may at least partially apply to this problem. 2). suppose that the four muons of relativistic momentum decayed by the doppler are:...
Second part of part c) please! The bit that asks about the particle travelling 75m in the laboratory before it decays. Determine its lifetime in the lab frame and then in its rest frame. -+160% are s two postulates of Special Relativity 4 marks) b) Calculate the de Broglie wavelength of an eleetron moving at a speed of 0.70c. The rest mass of an electron is 9.11 x 10-31 kg. 5 mar c) An elementary particle has a total energy...
Beryllium-8 is an unstable isotope and decays into two α particles, which are helium nuclei with mass 6.68×10−27kg. This decay process releases 1.5×10−14J of energy. For this problem, let's assume that the mass of the Beryllium-8 nucleus is just twice the mass of an α particle and that all the energy released in the decay becomes kinetic energy of the α particles. If the Beryllium-8 nucleus is moving in the positive x-direction with a speed of 1.0×106 m/s when it...